Phonological awareness games

In Cut It Out, students isolate individual phonemes by listening to a beginning, middle, or ending sound and choosing a picture of the word containing the sound in that position.

Skills
Phonological awareness

  • Blending at the compound word, syllable, onset-rime, and phoneme level

Standards covered

  • CCSS.ELA-LITERACY.RF.1.2.C — Isolate and pronounce initial, medial vowel, and final sounds (phonemes) in spoken single-syllable words.
  • CCSS.ELA-LITERACY.RF.K.2.D — Isolate and pronounce the initial, medial vowel, and final sounds (phonemes) in three-phoneme (consonant-vowel-consonant, or CVC) words.1 (This does not include CVCs ending with /l/, /r/, or /x/.)

In Gem & Nye, students blend sounds into words, starting with compound words and syllables and then moving to beginning (onset) and ending (rime) sounds and finally individual phonemes, to identify the picture of the word the Soundbots say when blended together.

Skills
Phonological awareness

  • Blending at the compound word, syllable, onset-rime, and phoneme level

Standards covered

  • CCSS.ELA-LITERACY.RF.1.2.B — Orally produce single-syllable words by blending sounds (phonemes), including consonant blends.
  • CCSS.ELA-LITERACY.RF.K.2.B — Count, pronounce, blend, and segment syllables in spoken words.
  • CCSS.ELA-LITERACY.RF.K.2.C — Blend and segment onsets and rimes of single-syllable spoken words.

In Wordbots, students practice segmenting words into their onsets and rimes to determine which Startbots and Endbots form a stimulus word.

Skills
Phonological awareness

  • Segment at the compound-word and onset-rime level

Standards covered

  • CCSS.ELA-LITERACY.RF.K.2.C — Blend and segment onsets and rimes of single-syllable spoken words.
  • CCSS.ELA-LITERACY.RF.K.2.B — Count, pronounce, blend, and segment syllables in spoken words.

In Zoom Boom, students practice rhyming by listening to a word and identifying the picture of the word that rhymes with it.

Skills
Phonological awareness

  • Rhyming

Standards covered

  • CCSS.ELA-LITERACY.RF.K.2.A — Recognize and produce rhyming words.

Phonics Games in Amplify Reading: K–2

In Curioso Crossing, students practice accurate and automatic word recognition by identifying the correct spoken word to guide their Curioso safely throughout the land.

Skills
Phonics – Early Decoding; Advanced Decoding

  • Read high-frequency irregular words, regular words, words with inflected endings, two-syllable words, words with prefixes and suffixes, and multi-syllable words

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.1.3.B — Decode regularly spelled one-syllable words.
  • CCSS.ELA-LITERACY.RF.1.3.C — Know final -e and common vowel team conventions for representing long vowel sounds.
  • CCSS.ELA-LITERACY.RF.1.3.E — Decode two-syllable words following basic patterns by breaking the words into syllables.
  • CCSS.ELA-LITERACY.RF.1.3.F — Read words with inflectional endings.
  • CCSS.ELA-LITERACY.RF.2.3.A — Distinguish long and short vowels when reading regularly spelled one-syllable words.
  • CCSS.ELA-LITERACY.RF.2.3.C — Decode regularly spelled two-syllable words with long vowels.
  • CCSS.ELA-LITERACY.RF.2.3.D — Decode words with common prefixes and suffixes.
  • CCSS.ELA-LITERACY.RF.2.3.F — Recognize and read grade-appropriate irregularly spelled words.
  • CCSS.ELA-LITERACY.RF.K.3.C — Read common high-frequency words by sight (e.g., the, of, to, you, she, my, is, are, do, does).
  • CCSS.ELA-LITERACY.RF.1.3.G — Recognize and read grade-appropriate irregularly spelled words.

In Food Truck, students practice “chopping” blends, ending sounds (rimes), and whole words into beginning sounds (onsets), ending sounds, and individual letters to create orders for their hungry goblin customers. The difficulty of words and segmenting tasks increases with each level as customers order more sophisticated “dishes.”

Skills
Phonics – Early Decoding

  • Decode and spell words with common rime families

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.K.3.D — Distinguish between similarly spelled words by identifying the sounds of the letters that differ.
  • CCSS.ELA-LITERACY.RF.K.2.E — Add or substitute individual sounds (phonemes) in simple, one-syllable words to make new words.
  • CCSS.ELA-LITERACY.RF.1.3.B — Decode regularly spelled one-syllable words.

In Grumpy Goblins, students learn sound-spelling correspondences for consonant digraphs and vowel teams by listening to a sound from a goblin and feeding it the piece of toast with the corresponding letter or combination.

Skills
Phonics – Letter Combinations

  • Sound-spelling correspondences for consonant digraphs and vowel teams

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.1.3.A — Know the spelling-sound correspondences for common consonant digraphs.
  • CCSS.ELA-LITERACY.RF.2.3.B — Know spelling-sound correspondences for additional common vowel teams.

In Hangry Goblins, students practice letter-sound combinations by feeding individual letter sounds, consonant digraphs, blends, and vowel teams to goblins that become more and more “hangry” until they are given the letters that match their demands.

Skills
Phonics – Letter Sound Correspondence

  • Sound-spelling correspondences for individual letters and letter combinations

Standards covered

  • CCSS.ELA-LITERACY.RF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.1.3.A — Know the spelling-sound correspondences for common consonant digraphs.
  • CCSS.ELA-LITERACY.RF.2.3.B — Know spelling-sound correspondences for additional common vowel teams.

In Picky Goblins, students practice sound-spelling correspondences for individual letters by listening to a sound from a goblin and feeding it the piece of toast with the corresponding.

Skills
Phonics – Letter-Sound Correspondence

  • Sound-Spelling Correspondences for single letters

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.

In Read All About It, students practice reading sentences with words that include the sound-spelling correspondences, word features (e.g., prefixes/suffixes), and phonics rules (e.g., vowel consonant long e, syllable patterns) they learned and practiced in other games.

Skills
Phonics – Early Decoding; Advanced Decoding

  • Read grade level text accurately

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3 — Know and apply grade-level phonics and word analysis skills in decoding words.
  • CCSS.ELA-LITERACY.RF.K.4 — Read emergent-reader texts with purpose and understanding.
  • CCSS.ELA-LITERACY.RF.1.3 — Know and apply grade-level phonics and word analysis skills in decoding words.
  • CCSS.ELA-LITERACY.RF.1.4 — Read with sufficient accuracy and fluency to support comprehension.
  • CCSS.ELA-LITERACY.RF.2.3 — Know and apply grade-level phonics and word analysis skills in decoding words.
  • CCSS.ELA-LITERACY.RF.2.4 — Read with sufficient accuracy and fluency to support comprehension.

In Rhyme Time, students practice with different rime families (words that end with the same sounds and rhyme) and decode words in these families by swapping the first letter sounds of words while the ending sounds remain constant.

Skills
Phonics – Early Decoding

  • Decode words with common rime families

Standards Covered

  • CCSS.ELA-LITERACY.RF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.K.3.D — Distinguish between similarly spelled words by identifying the sounds of the letters that differ.
  • CCSS.ELA-LITERACY.RF.K.2.E — Add or substitute individual sounds (phonemes) in simple, one-syllable words to make new words.
  • CCSS.ELA-LITERACY.RF.1.3.B — Decode regularly spelled one-syllable words.

In Tongue Twist, students practice with different rime families (words that end with the same sounds and rhyme) and build words by changing the ending sound (rime) while the beginning (onset) sounds, consonant blends, and consonant digraphs remain constant.

Skills
Phonics – Early Decoding

  • Decode words with common rime families

Standards covered

  • CCSS.ELA-LITERACY.RF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACY.RF.K.3.B — Associate the long and short sounds with the common spellings (graphemes) for the five major vowels.
  • CCSS.ELA-LITERACY.RF.K.3.D — Distinguish between similarly spelled words by identifying the sounds of the letters that differ.
  • CCSS.ELA-LITERACY.RF.K.2.E — Add or substitute individual sounds (phonemes) in simple, one-syllable words to make new words.
  • CCSS.ELA-LITERACY.RF.1.3.B — Decode regularly spelled one-syllable words.

In Word City, students identify and manipulate beginning, middle, and ending letter sounds to assemble word chains that form buildings.

Skills
Phonics – Early Decoding

  • Letter-sound correspondence
  • Decoding and spelling regular words

Standards Covered

  • CCSS.ELA-LITERACYRF.K.3.A — Demonstrate basic knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.
  • CCSS.ELA-LITERACYRF.1.3.A — Know the spelling-sound correspondences for common consonant digraphs.
  • CCSS.ELA-LITERACYRF.1.3.B — Decode regularly spelled one-syllable words.
  • CCSS.ELA-LITERACYRF.1.3.C — Know final -e and common vowel team conventions for representing long vowel sounds.
  • CCSS.ELA-LITERACYRF.2.3.B — Know spelling-sound correspondences for additional common vowel teams.

Microcomprehension Games in Amplify Reading: K–2

In Because This, That, students learn how common text structures give clues to meaning by rearranging sentences to identify cause and effect or problem and solution.

Skills
Microcomprehension

  • Text Structure: Organize sentences using sequence/chronological order

Standards covered

  • CCSS.ELA-LITERACY.RI.1.3 — Describe the connection between two individuals, events, ideas, or pieces of information in a text.
  • CCSS.ELA-LITERACY.RI.1.8 — Identify the reasons an author gives to support points in a text.
  • CCSS.ELA-LITERACY.RI.2.3 — Describe the connection between a series of historical events, scientific ideas or concepts, or steps in technical procedures in a text.
  • CCSS.ELA-LITERACY.RI.2.8 — Describe how reasons support specific points the author makes in a text.

In Connect It!, students practice using different types of conjunctions (temporal and causal, for example) to combine two clauses into a coherent sentence.

Skills
Microcomprehension

  • Syntactic awareness – connectives

Standards covered

  • CCSS.ELA-LITERACY.L.2.3 — Use knowledge of language and its conventions when writing, speaking, reading, or listening.

In Message in a Bottle, students build their awareness of syntax and the impact word order has on meaning by unscrambling scraps of lost messages to reconstruct sentences.

Skills
Microcomprehension

  • Syntactic awareness

Standards covered

  • CCSS.ELA-LITERACY.L.1.1 — Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.
  • CCSS.ELA-LITERACY.L.2.1 — Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.

In Mind the Gap, comprehension levels are assessed through a modified cloze exercise in which students make selections to fill in the blanks of a text where approximately every seventh word has been omitted.

Skills
Microcomprehension

  • Reading fluency
  • Syntactic awareness
  • Inference
  • Comprehension monitoring

Standards covered

  • CCSS.ELA-LITERACY.CCRA.R.1 — Read closely to determine what the text says explicitly and to make logical inferences from it; cite specific textual evidence when writing or speaking to support conclusions drawn from the text.
  • CCSS.ELA-LITERACY.CCRA.R.10 — Read and comprehend complex literary and informational texts independently and proficiently.

In Show Off, students learn how common text structures give clues to meaning, using cues from illustrations to rearrange sentences in the correct sequential or chronological order.
Skills
Microcomprehension

  • Text structure: Organize sentences using problem/solution and cause/effect

Standards covered

  • CCSS.ELA-LITERACY.RI.1.3 — Describe the connection between two individuals, events, ideas, or pieces of information in a text.
  • CCSS.ELA-LITERACY.RI.1.8 — Identify the reasons an author gives to support points in a text.
  • CCSS.ELA-LITERACY.RI.2.3 — Describe the connection between a series of historical events, scientific ideas or concepts, or steps in technical procedures in a text.
  • CCSS.ELA-LITERACY.RI.2.8 — Describe how reasons support specific points the author makes in a text.knowledge of one-to-one letter-sound correspondences by producing the primary sound or many of the most frequent sounds for each consonant.

In Sloppy Scrolls, students practice the art of comprehension monitoring, or ensuring that they continually build and check a mental model of what they read. In the game, students are introduced to a world of enchanted scrolls that have lost their magic: they contain inconsistencies, and no longer make sense. The students must attempt to identify the inconsistencies by tapping the sentences that don’t match the rest of the passage. To increase the challenge of the game, some of the passages are presented without errors.

Skills
Microcomprehension

  • Comprehension Monitoring

Standards Covered

  • CCSS.ELA-LITERACY.RL.2.10 — By the end of the year, read and comprehend literature, including stories and poetry, in the grades 2-3 text complexity band proficiently, with scaffolding as needed at the high end of the range.

In Storyboard, students practice making inferences by completing a storyboard that integrates relevant background knowledge missing from a given sentence.

Skills
Microcomprehension

  • Inference

Standards covered

  • CCSS.ELA-LITERACY.RL.K.1 — With prompting and support, ask and answer questions about key details in a text.
  • CCSS.ELA-LITERACY.RI.K.1 — With prompting and support, ask and answer questions about key details in a text.
  • CCSS.ELA-LITERACY.RL.1.1 — Ask and answer questions about key details in a text.
  • CCSS.ELA-LITERACY.RI.1.1 — Ask and answer questions about key details in a text.

In Super Match, students work on developing cognitive flexibility, or the ability to track multiple elements simultaneously, by completing interactive puzzles that associate pictures and words across multiple dimensions (e.g., color and category, or starting sounds and category).

Skills
Microcomprehension

  • Cognitive flexibility

Standards covered

  • CCSS.ELA-LITERACY.L.1.5.A — Sort words into categories (e.g., colors, clothing) to gain a sense of the concepts the categories represent.
  • CCSS.ELA-LITERACY.L.1.5.B — Define words by category and by one or more key attributes (e.g., a duck is a bird that swims; a tiger is a large cat with stripes).
  • CCSS.ELA-LITERACY.RF.1.3 — Know and apply grade-level phonics and word analysis skills in decoding words.

In Unmask That, students build their understanding of anaphora, a tool authors use to avoid repetition, by linking pronouns to their antecedents in text.

Skills
Microcomprehension

  • Syntactic awareness – anaphora

Standards covered

  • CCSS.ELA-LITERACY.L.1.1 — Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.
  • CCSS.ELA-LITERACY.L.2.1 — Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.

Comprehension Games in Amplify Reading: K–2

In Best Buddy, students examine character traits to determine which school club provides the best fit for their fictional friends.

Skills
Comprehension – Key Ideas and Details

  • Character Traits

Standards Covered

  • CCSS.ELA-LITERACY.RL.1.3 — Describe characters, settings, and major events in a story, using key details.
  • CCSS.ELA-LITERACY.RL.2.3 — Describe how characters in a story respond to major events and challenges.

In Book Club, students compare and contrast two books on the same topic or theme to determine which book best meets the needs of a character in the game.

Skills
Comprehension – Integration of Knowledge and Ideas

  • Compare and Contrast Texts

Standards covered

  • CCSS.ELA-LITERACY.RI.1.9 — Identify basic similarities in and differences between two texts on the same topic (e.g., in illustrations, descriptions, or procedures).
  • CCSS.ELA-LITERACY.Rl.2.9 — Compare and contrast the most important points presented by two texts on the same topic.
  • CCSS.ELA-LITERACY.RL.2.9 — Compare and contrast two or more versions of the same story (e.g., Cinderella stories) by different authors or from different cultures.

In Debate-a-Ball, students practice identifying the best evidence to support a claim. Students pick an animal avatar to compete with an automated opponent in debates on familiar topics. To win, students must put forward the best evidence to support each claim more frequently than their opponents. They are taught to identify evidence that is factual and strongly related to the claim.

Skills
Comprehension – Integration of Knowledge and Ideas

  • Evaluate evidence

Standards covered

  • CSS.ELA-LITERACY.RI.2.8 — Describe how reasons support specific points the author makes in a text.

In Picture This, students complete the illustrations for a story by identifying words that describe its setting, characters, problems, and solutions.

Skills
Comprehension – Key Ideas and Details

  • Story Elements/Plot

Standards covered

  • CCSS.ELA-LITERACY.RL.1.1 — Ask and answer questions about key details in a text.
  • CCSS.ELA-LITERACY.RL.1.3 — Describe characters, settings, and major events in a story, using key details.
  • CCSS.ELA-LITERACY.RL.2.1 — Ask and answer such questions as who, what, where, when, why, and how to demonstrate understanding of key details in a text.
  • CCSS.ELA-LITERACY.RL.2.3 — Describe how characters in a story respond to major events and challenges.

In Storybox, students choose settings, situations, and solutions to send characters on different adventures, using details and context to help them resolve problems and complete the story.

Skills
Comprehension – Key Ideas and Details

  • Story Elements/Plot

Standards covered

  • CCSS.ELA-LITERACY.RL.K.3 — With prompting and support, identify characters, settings, and major events in a story.

In Tube Tales, students learn the attributes of different genres and practice identifying them in brief texts.

Skills
Comprehension – Craft and Structure

  • Text schema

Standards covered

  • CCSS.ELA-LITERACY.RL.2.10 — By the end of the year, read and comprehend literature, including stories and poetry, in the grades 2-3 text complexity band proficiently, with scaffolding as needed at the high end of the range.
  • CCSS.ELA-LITERACY.RI.2.5 — Know and use various text features (e.g., captions, bold print, subheadings, glossaries, indexes, electronic menus, icons) to locate key facts or information in a text efficiently.
  • CCSS.ELA-LITERACY.RI.2.10 — By the end of year, read and comprehend informational texts, including history/social studies, science, and technical texts, in the grades 2-3 text complexity band proficiently, with scaffolding as needed at the high end of the range.

In What’s the Big Idea, students examine pictures, picture sequences, and short passages to practice differentiating the main idea from story details.

Skills
Comprehension – Key Ideas and Details

  • Main idea

Standards covered

  • CCSS.ELA-LITERACY.RI.K.2 — With prompting and support, identify the main topic and retell key details of a text.
  • CCSS.ELA-LITERACY.RI.1.2 — Identify the main topic and retell key details of a text.
  • CCSS.ELA-LITERACY.RI.2.2 — Identify the main topic of a multiparagraph text as well as the focus of specific paragraphs within the text.

Vocabulary Games in Amplify Reading: K–2

In Punchline!, students learn how words can have multiple meanings by channeling their inner comedian to crack homonym-based jokes.

Skills
Vocabulary

  • Multiple-meaning words

Standards covered

  • CCSS.ELA-LITERACY.L.2.4.A — Use sentence-level context as a clue to the meaning of a word or phrase.

In Shades of Meaning, students differentiate the nuances in similar words — first by ordering them from weakest to strongest, largest to smallest, or least to greatest; then by putting them into sentences that further clarify their meaning.

Skills
Vocabulary

  • Shades of meaning

Standards covered

  • CCSS.ELA-LITERACY.L.1.5.D — Distinguish shades of meaning among verbs differing in manner (e.g., look, peek, glance, stare, glare, scowl) and adjectives differing in intensity (e.g., large, gigantic) by defining or choosing them or by acting out the meanings.
  • CCSS.ELA-LITERACY.L.2.5.B — Distinguish shades of meaning among closely related verbs (e.g., toss, throw, hurl) and closely related adjectives (e.g., thin, slender, skinny, scrawny).

Amplify Reading: K–2’s Integrated eReader

eReader Overview

Amplify Reading: K–2 has a new library of over 25 fiction and non-fiction ebooks and an adaptive algorithm that unlocks each book at the exact right point in a reader’s development. Moreover, they contain familiar interactions from the games so that students move seamlessly from text-embedded-in-games to games-embedded-in-text, maximizing their sense of growing competency.

The eReader also provides optional supports for its readers. From the settings icon on the title page of each book, students can turn on sentence numbering, read aloud functionality, and reveal words, as well as adjust the text size.

Student Experience
When students are ready for a text, it will appear as one of their quest steps.

When readers first unlock a new book, they read through it without interruption (with read-aloud support if appropriate).

In the second read, students discover embedded activities that repeat the familiar iconography of a game they previously mastered.

At the end of the book, additional activities evaluate students’ comprehension.

Achievements in books are part of the same overall reward system: helping your Curioso grow, just like achievement in skill-building games. Mastery of the content is reflected in the teacher dashboard within the given skill.

How teachers are using Amplify Reading

Independent study/rotation stations
Amplify Reading is a personalized, differentiated program designed to keep students engaged and on task in independent study. The program is most effective when used for a minimum of 45 minutes per week.

Other common uses
We designed the program to be flexible enough to fit any classroom model. Amplify Reading is browser-based, so it works on Chromebooks, iPads, laptops, desktops, and even iPhones. It can also be used at home to extend learning beyond the classroom.

Grade 6

Module 1: Ratios and Unit Rates

Eureka MathDesmos Math 6–A1
Topic A Representing and Reasoning About Ratios 
Lesson 1: Ratios
Lesson 2: Ratios
Unit 2
Lesson 1: Pizza Maker [Free lesson]
Lesson 2: Ratio Rounds (Print available)
Lesson 3: Equivalent Ratios
Lesson 4: Equivalent Ratios
Unit 2
Lesson 3: Rice Ratios
Lesson 4: Fruit Lab [Free lesson]
Lesson 5: Balancing Act
Lesson 7: Mixing Paint, Part 1
Lesson 8 World Records (Print available)
Lesson 11 Community Life (Print available)
Practice Day 1 (Print available)
Lesson 5: Solving Problems by Finding Equivalent Ratios
Lesson 6: Solving Problems by Finding Equivalent Ratios
Unit 2
Lesson 5 Balancing Act
 
Lesson 7: Associated Ratios and the Value of a Ratio
Lesson 8: Equivalent Ratios Defined Through the Value of a Ratio
Unit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Topic B Collections of Equivalent Ratios 
Lesson 9: Tables of Equivalent RatiosUnit 2
Lesson 6: Product Prices (Print available)
Lesson 7: Mixing Paint, Part 1
Lesson 10: The Structure of Ratio Tables-Additive and MultiplicativeUnit 2
Lesson 10: Balloons
Lesson 11: Community Life (Print available)
Lesson 11: Comparing Ratios Using Ratio TablesUnit 2
Lesson 10: Balloons
Lesson 12: From Ratio Tables to Double Number Line DiagramsUnit 2
Lesson 6: Product Prices (Print available)
Lesson 8: World Records (Print available)
Lesson 12: Mixing Paint, Part 2
Lesson 14: Lunch Waste (Print available)
Practice Day 2 (Print available)
Lesson 13: From Ratio Tables to Equations Using the Value of a Ratio 
Lesson 14: From Ratio Tables, Equations, and Double Number Line Diagrams to Plots on the Coordinate Plane 
Lesson 15: A Synthesis of Representations of Equivalent Ratio Collections 
Topic C Unit Rates 
Lesson 16: From Ratio to RatesUnit 2
Lesson 8: World Records (Print available)
 
Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 17: From Rates to Ratios 
Lesson 18: Finding a Rate by Dividing Two QuantitiesUnit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 7: More Soft Serve
Lesson 19: Comparison Shopping-Unit Price and Related Measurement Conversions
Lesson 20: Comparison Shopping-Unit Price and Related Measurement Conversions
Lesson 21: Getting the Job Done—Speed, Work, and Measurement Units
Lesson 22: Getting the Job Done—Speed, Work, and Measurement Units
Unit 3
Lesson 2: Counting Classrooms
Lesson 3: Pen Pals
Lesson 23: Problem-Solving Using Rates, Unit Rates, and Conversions.Unit 3
Lesson 13: A Country as a Village
Topic D Percent 
Lesson 24: Percent and Rates per 100Unit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 9: Bicycle Goals
Lesson 25: A Fraction as a Percent 
Lesson 26: Percent of a Quantity.Unit 3
Lesson 10: What´s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 27: Solving Percent Problems
Lesson 28: Solving Percent Problems
Lesson 29: Solving Percent Problems
Unit 3
Lesson 10: What´s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Practice Day 2 (Print available)

Module 2: Arithmetic Operations Including Division of Fractions

Lesson 1: Interpreting Division of a Fraction by a Whole Number—Visual Models.Unit 4
Lesson 2: Making Connections (Print available)
Lesson 2: Interpreting Division of a Whole Number by a Fraction —Visual Models.Unit 4
Lesson 1: Cookie Cutter
Lesson 3: Flour Planner [Free lesson]
Lesson 4: Flower Planters
Lesson 5: Garden Bricks (Print available)
Lesson 3: Interpreting and Computing Division of a Fraction by a Fraction—More Models
Lesson 4: Interpreting and Computing Division of a Fraction by a Fraction—More Models
Unit 4
Lesson 5: Garden Bricks
Lesson 6: Fill the Gap [Free lesson]
Lesson 7: Break It Down
Lesson 8: Potting Soil
Lesson 9: Division Challenges
Lesson 10: Swap Meet (Print available)
Practice Day
Lesson 5: Creating Division Stories. 
Lesson 6: More Division Stories. 
Lesson 7: The Relationship Between Visual Fraction Models and Equations 
Lesson 8: Dividing Fractions and Mixed NumbersUnit 4
Lesson 5: Garden Bricks (Print available)
Lesson 6: Fill the Gap [Free lesson]
Topic B Multi-Digit Decimal Operations—Adding, Subtracting, and Multiplying
Lesson 9: Sums and Differences of DecimalsUnit 5
Lesson 2: Decimal Diagrams [Free lesson]
Lesson 3: Fruit by the Pound
Lesson 4: Missing Digits
Lesson 10: The Distributive Property and the Products of DecimalsUnit 5
Lesson 5: Decimal Multiplication
Lesson 6: Multiplying with Areas
Lesson 7: Multiplication Methods (Print available)
Lesson 11: Fraction Multiplication and the Products of DecimalsUnit 5
Lesson 7: Multiplication Methods (Print available)
Topic C Dividing Whole Numbers and Decimals
Lesson 12: Estimating Digits in a Quotient 
Lesson 13: Dividing Multi-Digit Numbers Using the AlgorithmUnit 5
Lesson 9: Long Division Launch
Practice Day 1 (Print available)
Practice Day 2 (Print available)
Lesson 14: The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions. 
Lesson 15: The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math 
Topic D Number Theory—Thinking Logically About Multiplicative Arithmetic 
Lesson 16: Even and Odd Numbers 
Lesson 17: Divisibility Tests for 3 and 9 
Lesson 18: Least Common Multiple and Greatest Common FactorUnit 5
Lesson 14: Common Multiples
Lesson 15: Common Factors
Practice Day 2 (Print available)
Lesson 19: The Euclidean Algorithm as an Application of the Long Division Algorithm 

Module 3: Rational Numbers

Lesson 1: Positive and Negative Numbers on the Number Line—Opposite Direction and ValueUnit 7Lesson 2: Digging Deeper
Lesson 2: Real-World Positive and Negative Numbers and Zero.
Lesson 3: Real-World Positive and Negative Numbers and Zero.
Unit 7 Lesson 4: Sub-Zero
Lesson 4: The Opposite of a Number
Lesson 5: The Opposite of a Number’s Opposite
Lesson 6: Rational Numbers on the Number Line
Unit 7Lesson 2: Digging Deeper
Topic B Order and Absolute Value
Lesson 7: Ordering Integers and Other Rational Numbers
Lesson 8: Ordering Integers and Other Rational Numbers
Lesson 9: Comparing Integers and Other Rational Numbers
Unit 7Lesson 3: Order in the Class (Print available) [Free lesson]
Lesson 10: Writing and Interpreting Inequality Statements Involving Rational Numbers 
Lesson 11: Absolute Value—Magnitude and Distance
Lesson 12: The Relationship Between Absolute Value and Order
Unit 7Lesson 5: Distance on the Number Line
Lesson 13: Statements of Order in the Real World. 
Topic C Rational Numbers and the Coordinate Plane 
Lesson 14: Ordered Pairs
Lesson 15: Locating Ordered Pairs on the Coordinate Plane
Unit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate PlaneLesson 11: Polygon Maker
Lesson 16: Symmetry in the Coordinate Plane. 
Lesson 17: Drawing the Coordinate Plane and Points on the PlaneLesson 10: The A-maze-ing Coordinate Plane
Lesson 18: Distance on the Coordinate PlaneUnit 7Lesson 11: Polygon Maker
Lesson 19: Problem Solving and the Coordinate PlaneUnit 7Lesson 12: Graph Telephone (Print available)Practice Day 2 (Print available)

Module 4: Expressions and Equations

Topic A Relationships of the Operations 
Lesson 1: The Relationship of Addition and Subtraction 
Lesson 2: The Relationship of Multiplication and Division 
Lesson 3: The Relationship of Multiplication and Addition. 
Lesson 4: The Relationship of Division and Subtraction 
Topic B Special Notations of Operations 
Lesson 5: ExponentsUnit 6Lesson 10: PowersLesson 11: Exponent Expressions (Print available)Practice Day 2 (Print available)
Lesson 6: The Order of Operations 
Topic C Replacing Letters and Numbers 
Lesson 7: Replacing Letters with Numbers
Lesson 8: Replacing Numbers with Letters
Unit 6Lesson 7: Border TilesLesson 12: Squares and Cubes
Topic D Expanding, Factoring, and Distributing Expressions 
Lesson 9: Writing Addition and Subtraction ExpressionsUnit 6Lesson 6: Vari-applesLesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and Differences
Lesson 10: Writing and Expanding Multiplication Expressions
Lesson 11: Factoring Expressions
Lesson 12: Distributing Expressions
Unit 6Lesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and Differences
Lesson 13: Writing Division Expressions 
Lesson 14: Writing Division Expressions 
Topic E Expressing Operations in Algebraic Form 
Lesson 15: Read Expressions in Which Letters Stand for Numbers
Lesson 16: Write Expressions in Which Letters Stand for Numbers
Lesson 17: Write Expressions in Which Letters Stand for Numbers
Unit 6Lesson 6: Vari-applesLesson 7: Border Tiles
Topic F Writing and Evaluating Expressions and Formulas 
Lesson 18: Writing and Evaluating Expressions—Addition and Subtraction
Lesson 19: Substituting to Evaluate Addition and Subtraction Expressions
Lesson 20: Writing and Evaluating Expressions—Multiplication and Division
Lesson 21: Writing and Evaluating Expressions—Multiplication and Addition
Unit 6Lesson 7: Border TilesLesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and DifferencesLesson 12: Squares and Cubes
Lesson 22: Writing and Evaluating Expressions—ExponentsUnit 6Lesson 10: PowersLesson 11: Exponent Expressions (Print available)Lesson 12: Squares and CubesPractice Day 2 (Print available)
Topic G Solving Equations 
Lesson 23: True and False Number Sentences
Lesson 24: True and False Number Sentences
Unit 6Lesson 1: Weight for It [Free lesson]
Lesson 25: Finding Solutions to Make Equations TrueUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations
Lesson 26: One-Step Equations—Addition and SubtractionUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five EquationsLesson 3: Hanging Around
Lesson 27: One-Step Equations—Multiplication and Division
Lesson 28: Two-Step Problems—All Operations
Lesson 29: Multi-Step Problems—All Operations
Unit 6Lesson 3: Hanging AroundLesson 4: Hanging It UpLesson 5: Swap and Solve
Topic H Applications of Equations 
Lesson 30: One-Step Problems in the Real World
Lesson 31: Problems in Mathematical TermsLesson Lesson 32: Multi-Step Problems in the Real World
Unit 6Lesson 3: Hanging AroundLesson 4: Hanging It UpLesson 5: Swap and SolvePractice Day 1 (Print available)
Lesson 33: From Equations to Inequalities
Lesson 34: Writing and Graphing Inequalities in Real-World Problems
Unit 7Lesson 6: Tunnel Travel [Free lesson]Lesson 7: Comparing WeightsLesson 8: Shira´s Solutions

Module 5: Area, Surface Area, and Volume Problems

Topic A: Area of Triangles, Quadrilaterals, and Polygons
Lesson 1: The Area of Parallelograms Through Rectangle FactsUnit 1Lesson 3: Exploring Parallelograms (Print available) [Free lesson]Lesson 4: Off the Grid
Lesson 2: The Area of Right Triangles
Lesson 3: The Area of Acute Triangles Using Height and Base
Unit 1Lesson 5: Exploring Triangles (Print available)Lesson 6: Triangles and ParallelogramsLesson 7: Off the Grid, Part 2
Lesson 4: The Area of All Triangles Using Height and BaseUnit 1Lesson 6: Triangles and ParallelogramsLesson 7: Off the Grid, Part 2
Lesson 5: The Area of Polygons Through Composition and DecompositionUnit 1Lesson 2: LettersLesson 8: Pile of PolygonsPractice Day 1 (Print available)
Lesson 6: Area in the Real World 
Topic B Polygons on the Coordinate Plane 
Lesson 7: Distance on the Coordinate PlaneUnit 1Lesson 8: Pile of Polygons
Lesson 8: Drawing Polygons in the Coordinate PlaneUnit 7Lesson 11: Polygon Maker
Lesson 9: Determining Perimeter and Area of Polygons on the Coordinate PlaneUnit 1Lesson 8: Pile of Polygons
Lesson 10: Distance, Perimeter, and Area in the Real World 
Topic C Volume of Right Rectangular Prisms 
Lesson 11: Volume with Fractional Edge Lengths and Unit CubesUnit 4Lesson 11: Classroom ComparisonsLesson 12: Puzzling Areas (Print available) [Free lesson]Lesson 13: Volume ChallengesLesson 14: Planter Planner (Print available)
Lesson 12: From Unit Cubes to the Formulas for Volume  
Lesson 13: The Formulas for Volume 
Lesson 14: Volume in the Real WorldUnit 4Lesson 14: Planter Planner (Print available)
Topic D Nets and Surface Area 
Lesson 15: Representing Three-Dimensional Figures Using Nets
Lesson 16: Constructing Nets
Lesson 17: From Nets to Surface Area
Unit 1Lesson 10: Plenty of PolyhedraLesson 11: Nothing But Nets (Print available)Lesson 13: Take It To Go (Print available)
Lesson 18: Determining Surface Area of Three-Dimensional FiguresUnit 1Lesson 9: Renata´s Stickers [Free lesson]Lesson 10: Plenty of PolyhedraLesson 11: Nothing But Nets (Print available)Lesson 13: Take It To Go (Print available)Practice Day 2 (Print available)
Lesson 19: Surface Area and Volume in the Real World 
Lesson 19a: Addendum Lesson for Modeling―Applying Surface Area and Volume to Aquariums 
Lesson 3: The Area of Acute Triangles Using Height and BaseUnit 1Lesson 5 Exploring TrianglesLesson 6 Triangles and ParallelogramsLesson 7 Off the Grid, Part 2

Module 6: Statistics

Topic A Understanding Distributions 
Lesson 1: Posing Statistical QuestionsUnit 8 Lesson 1: Screen TimeLesson 2: Dot Plots
Lesson 2: Displaying a Data Distribution
Lesson 3: Creating a Dot Plot
Unit 8 Lesson 2: Dot PlotsLesson 3: Minimum Wage (Print available) [Free lesson]Lesson 4: Lots More Dots
Lesson 4: Creating a Histogram
Lesson 5: Describing a Distribution Displayed in a Histogram
Unit 8Lesson 5: The Plot Thickens [Free lesson]Lesson 6: DIY Histograms (Print available)
Topic B Summarizing a Distribution That Is Approximately Symmetric Using the Mean and Mean Absolute Deviation 
Lesson 6: Describing the Center of a Distribution Using the Mean
Lesson 7: The Mean as a Balance Point
Unit 8Lesson 7: Snack Time
Lesson 8: Variability in a Data DistributionUnit 8Lesson 8: Pop It!
Topic 9: The Mean Absolute Deviation (MAD).Unit 8Lesson 9: Hoops
Lesson 10: Describing Distributions Using the Mean and MAD
Lesson 11: Describing Distributions Using the Mean and MAD
Unit 8Lesson 10 Hollywood Part 1Practice Day 1 (Print available)
Topic C Summarizing a Distribution That Is Skewed Using the Median and the Interquartile Range 
Lesson 12: Describing the Center of a Distribution Using the MedianUnit 8Lesson 11: Toy Cars [Free lesson]Lesson 12: In the News
Lesson 13: Describing Variability Using the Interquartile Range (IQR)Unit 8Lesson 13: Pumpkin Patch
Lesson 14: Summarizing a Distribution Using a Box Plot
Lesson 15: More Practice with Box Plots
Unit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)
Lesson 16: Understanding Box PlotsUnit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)Lesson 15: Hollywood Part 2Lesson 16: Hollywood Part 3 (Print available)Practice Day 2 (Print available)
Topic D Summarizing and Describing Distributions 
Lesson 17: Developing a Statistical Project 
Lesson 18: Connecting Graphical Representations and Numerical SummariesUnit 8Lesson 5: The Plot Thickens [Free lesson]
Lesson 19: Comparing Data DistributionsUnit 8Lesson 15: Hollywood Part 2
Lesson 20: Describing Center, Variability, and Shape of a Data Distribution from a Graphical Representation
Lesson 21: Summarizing a Data Distribution by Describing Center, Variability, and Shape
Unit 8Lesson 16: Hollywood Part 3 (Print available)
Lesson 22: Presenting a Summary of a Statistical Project 
Lesson 3: Creating a Dot PlotUnit 8Lesson 2 Dot PlotsLesson 3 Minimum Wage [Free lesson]Lesson 4 Lots More Dots

Grade 7

Module 1: Ratios and Proportional Relationships

Eureka MathDesmos Math 6–A1
Topic A Proportional Relationships 
Lesson 1: An Experience in Relationships as Measuring RateUnit 2
Lesson 1: Paint [Free lesson]
Lesson 2: Balloon Float
 
Unit 4
Lesson 1: Mosaics [Free lesson]
Lesson 2: Peach Cobbler (Print available)
Lesson 2: Proportional RelationshipsUnit 2  
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
 
Unit 4
Lesson 3: Sticker Sizes
Lesson 3: Identifying Proportional and Non-Proportional Relationships in Tables
Lesson 4: Identifying Proportional and Non-Proportional Relationships in Tables
Unit 2
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 5: Identifying Proportional and Non-Proportional Relationships in Graphs
Lesson 6: Identifying Proportional and Non-Proportional Relationships in Graphs
Unit 2
Lesson 8: Dino Pops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Topic B Unit Rate and the Constant of Proportionality 
Lesson 7: Unit Rate as the Constant of ProportionalityUnit 2
Lesson 2: Balloon Float
Lesson 8: Representing Proportional Relationships with Equations
Lesson 9: Representing Proportional Relationships with Equations
Unit 2
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two (Print available) [Free lesson]
Lesson 7: All Kinds of Equations
Lesson 10: Interpreting Graphs of Proportional RelationshipsUnit 2
Lesson 8: Dino Pops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations (Print available)
Lesson 12: Water Efficiency
Topic C Ratios and Rates Involving Fractions 
Lesson 11: Ratios of Fractions and Their Unit Rates
Lesson 12: Ratios of Fractions and Their Unit Rates
Unit 2
Lesson 3: Sugary Drinks (Print available)
Lesson 4: Robot Factory
Lesson 5: Snapshots
Lesson 6: Two and Two [Free lesson]
Lesson 13: Finding Equivalent Ratios Given the Total QuantityUnit 2  
Lesson 2: Balloon Float
Lesson 3: Sugary Drinks (Print available)
Lesson 14: Multi-Step Ratio Problems 
Lesson 15: Equations of Graphs of Proportional Relationships Involving FractionsUnit 2
Lesson 8: Dino Pops [Free lesson]
Lesson 9: Gallon Challenge
Lesson 10: Three Turtles
Lesson 11: Four Representations
Lesson 12: Water Efficiency
Topic D Ratios of Scale Drawings 
Lesson 16: Relating Scale Drawings to Ratios and RatesUnit 1
Lesson 1: Scaling Machines [Free lesson]
Lesson 17: The Unit Rate as the Scale FactorUnit 1
Lesson 2: Scaling Robots
Lesson 3: Make It Scale
Lesson 4: Scale Factor Challenges
Practice Day 1 (Print available)
Lesson 18: Computing Actual Lengths from a Scale DrawingUnit 1
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 19: Computing Actual Areas from a Scale DrawingUnit 1
Lesson 5: Tiles
Lesson 6: Introducing Scale
Lesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 8: Scaling States (Print available)
Lesson 20: An Exercise in Creating a Scale Drawing
Lesson 21: An Exercise in Changing Scales
Lesson 22: An Exercise in Changing Scales
Unit 1
Lesson 8: Scaling States (Print available)
Lesson 9: Scaling Buildings
Lesson 10: Room Redesign (Print available)
Practice Day 2 (Print available)

Module 2: Rational Numbers

Topic A Addition and Subtraction of Integers and Rational Numbers 
Lesson 1: Opposite Quantities Combine to Make ZeroUnit 5
Lesson 1: Floats and Anchors [Free lesson]
Lesson 2: Using the Number Line to Model the Addition of Integers
Lesson 3: Understanding Addition of Integers
Lesson 4: Efficiently Adding Integers and Other Rational Numbers
Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers
Unit 5
Lesson 2: More Floats and Anchors
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Lesson 6: The Distance Between Two Rational Numbers 
Lesson 7: Addition and Subtraction of Rational NumbersUnit 5
Lesson 3: Bumpers
Lesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 5: Number Puzzles
Lesson 10; Integer Puzzles [Free lesson]
Lesson 11: Changing Temperatures
Lesson 13: Solar Panels and More (Print available)
Practice Day 1 (Print available)
Lesson 8: Applying the Properties of Operations to Add and Subtract Rational Numbers 
Lesson 9: Applying the Properties of Operations to Add and Subtract Rational Numbers 
Topic B Multiplication and Division of Integers and Rational Numbers 
Lesson 10: Understanding Multiplication of Integers
Lesson 11: Develop Rules for Multiplying Signed Numbers
Unit 5
Lesson 6: Floating in Groups
Lesson 7: Back in Time
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Practice Day 2 (Print available)
Lesson 12: Division of IntegersUnit 5
Lesson 8: Speeding Turtles
Lesson 13: Converting Between Fractions and Decimals Using Equivalent Fractions 
Lesson 14: Converting Rational Numbers to Decimals Using Long DivisionUnit 4
Lesson 13: Decimal Deep Dive (Print available)
Lesson 15: Multiplication and Division of Rational NumbersUnit 5
Lesson 8: Speeding Turtles
Lesson 10: Integer Puzzles [Free lesson]
Lesson 12: Arctic Sea Ice (Print available)
Lesson 13: Solar Panels and More (Print available)
Practice Day 2 (Print available)
Lesson 16: Applying the Properties of Operations to Multiply and Divide Rational Numbers 
Topic C Applying Operations with Rational Numbers to Expressions and Equations 
Lesson 17: Comparing Tape Diagram Solutions to Algebraic SolutionsUnit 6
Lesson 2: Smudged Receipts
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 18: Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
Lesson 19: Writing, Evaluating, and Finding Equivalent Expressions with Rational Numbers
Unit 5
Lesson 9 Expressions
Lesson 20: Investments—Performing Operations with Rational Numbers
Lesson 21: If-Then Moves with Integer Number Cards
Lesson 22: Solving Equations Using Algebra
Lesson 23: Solving Equations Using Algebra
Unit 6
Lesson 3: Equations
Lesson 4: Seeing Structure (Print available)
Lesson 6: Balancing Equations
Lesson 7: Keeping It True (Print available)
Lesson 12: Community Day (Print available)
 
Unit 5
Lesson 3: Bumpers

Module 3: Expressions and Equations

Topic A Use Properties of Operations to Generate Equivalent Expressions 
Lesson 1: Generating Equivalent Expressions
Lesson 2: Generating Equivalent Expressions
Unit 5 Lesson 9: Expressions (Print available)Unit 6Lesson 9: Always-Equal MachinesLesson 11: Equation Roundtable (Print available)
Lesson 3: Writing Products as Sums and Sums as Products
Lesson 4: Writing Products as Sums and Sums as Products
Unit 6 Lesson 2: Smudged ReceiptsLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 8: Factoring and ExpandingLesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)Lesson 12: Community Day (Print available)
Lesson 5: Using the Identity and Inverse to Write Equivalent Expressions 
Lesson 6: Collecting Rational Number Like Terms 
Topic B Solve Problems Using Expressions, Equations, and Inequalities 
Lesson 7: Understanding EquationsUnit 6Lesson 2: Smudged ReceiptsLesson 5: Balancing MovesLesson 6: Balancing Equations
Lesson 8: Using If-Then Moves in Solving Equations
Lesson 9: Using If-Then Moves in Solving Equations
Unit 6Lesson 2: Smudged ReceiptsLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 8: Factoring and Expanding (Print available)Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)Lesson 12: Community Day (Print available)Practice Day 1 (Print available)
Lesson 10: Angle Problems and Solving EquationsUnit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available) [Free lesson]
Lesson 11: Angle Problems and Solving Equations 
Lesson 12: Properties of Inequalities
Lesson 13: Inequalities
Lesson 14: Solving Inequalities
Unit 6Lesson 14: Unbalanced HangersLesson 15: Budgeting (Print available)Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)
Lesson 15: Graphing Solutions to InequalitiesUnit 6Lesson 13: I Saw the SignsPractice Day 2 (Print available)
Topic C Use Equations and Inequalities to Solve Geometry Problems 
Lesson 16: The Most Famous Ratio of AllUnit 3Lesson 2: Is It a Circle?Lesson 3: Measuring Around [Free lesson]
Lesson 17: The Area of a CircleUnit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)Lesson 7: Why Pi? (Print available)Lesson 8: Area Challenges [Free lesson]Lesson 9: Circle vs. SquarePractice Day 2 (Print available)
Lesson 18: More Problems on Area and CircumferenceUnit 3Lesson 4: Perimeter ChallengesLesson 5: Area StrategiesLesson 6: Radius Squares (Print available)Lesson 7: Why Pi? (Print available)Lesson 8: Area Challenges [Free lesson]Lesson 9: Circle vs. Square
Lesson 19: Unknown Area Problems on the Coordinate Plane
Lesson 20: Composite Area Problems
Unit 3Lesson 4: Perimeter ChallengesPractice Day 2 (Print available)
Lesson 21: Surface Area
Lesson 22: Surface Area
Lesson 23: The Volume of a Right Prism
Lesson 24: The Volume of a Right Prism
Unit 7Lesson 10: Simple PrismsLesson 11: More Complicated Prisms Lesson 12: Surface Area Strategies (Print Available)Lesson 13: Popcorn PossibilitiesPractice Day 2 (Print available)
Lesson 25: Volume and Surface Area
Lesson 26: Volume and Surface Area
Unit 7Lesson 13: Popcorn PossibilitiesPractice Day 2

Module 4: Percent and Proportional Relationships

Topic A Finding the Whole 
Lesson 1: PercentUnit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)Lesson 3: Sticker Sizes
Lesson 2: Part of a Whole as a PercentUnit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)
Lesson 3: Comparing Quantities with PercentUnit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)Lesson 3: Sticker Sizes
Lesson 4: Percent Increase and DecreaseUnit 4Lesson 4: More and LessLesson 5: All the EquationsLesson 6: 100% (Print available)Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 5: Finding One Hundred Percent Given Another Percent 
Lesson 6: Fluency with PercentsUnit 4Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Topic B Percent Problems Including More Than One Whole 
Lesson 7: Markup and Markdown ProblemsUnit 4Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 8: Percent Error Problems
Lesson 9: Problem Solving When the Percent Changes
Unit 4Lesson 4: More and LessLesson 5: All the EquationsLesson 6: 100% (Print available)Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 10: Simple Interest 
Lesson 11: Tax, Commissions, Fees, and Other Real-World Percent ApplicationsUnit 4Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]Practice Day (Print available)
Topic C Scale Drawings 
Lesson 12: The Scale Factor as a Percent for a Scale Drawing 
Lesson 13: Changing ScalesUnit 1Lesson 1: Scaling Machines [Free lesson]Lesson 2: Scaling RobotsLesson 3: Make It ScaleLesson 4: Scale Factor ChallengesLesson 5: TilesLesson 6: Introducing ScaleLesson 7: Will It Fit? (Print available) [Free lesson]Lesson 8: Scaling States (Print available)Lesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available)Practice Day 1 (Print available)Practice Day 2 (Print available) Unit 3Lesson 1 Toothpicks
Lesson 14: Computing Actual Lengths from a Scale DrawingUnit 1Lesson 6: Introducing ScaleLesson 7: Will It Fit? (Print available) [Free lesson]Lesson 8: Scaling States (Print available)Lesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available) Unit 3Lesson 1: Toothpicks
Lesson 15: Solving Area Problems Using Scale DrawingsUnit 1Lesson 5: Tiles
Topic D Population, Mixture, and Counting Problems Involving Percents 
Lesson 16: Population ProblemsUnit 8Lesson 10: Crab Island [Free lesson]Lesson 11: Headlines
Lesson 17: Mixture Problems 
Lesson 18: Counting Problems 

Module 5: Statistics and Probability

Topic A Calculating and Interpreting Probabilities 
Lesson 1: Chance ExperimentsUnit 8Lesson 1: How Likely? (Print available) [Free lesson]Lesson 2: Prob-bear-bilities [Free lesson]Lesson 3: Mystery Bag
Lesson 2: Estimating Probabilities by Collecting Data
Lesson 3: Chance Experiments with Equally Likely Outcomes
Lesson 4: Calculating Probabilities for Chance Experiments with Equally Likely Outcomes
Unit 8Lesson 3: Mystery BagLesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair Games
Lesson 5: Chance Experiments with Outcomes That Are Not Equally LikelyUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair GamesLesson 7: Weather or Not
Lesson 6: Using Tree Diagrams to Represent a Sample Space and to Calculate ProbabilitiesUnit 8Lesson 6: Fair GamesLesson 7: Weather or Not
Lesson 7: Calculating Probabilities of Compound EventsUnit 8Lesson 8: Simulate It! (Print available)Lesson 9: Car, Bike, or Train? (Print available)Practice Day 1 (Print available)
Topic B Estimating Probabilities 
Lesson 8: The Difference Between Theoretical Probabilities and Estimated Probabilities
Lesson 9: Comparing Estimated Probabilities to Probabilities Predicted by a Model
Unit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 8: Simulate It! (Print available)Lesson 9: Car, Bike, or Train? (Print available)
Lesson 10: Conducting a Simulation to Estimate the Probability of an EventUnit 8Lesson 7: Weather or NotLesson 8: Simulate It! (Print available)Lesson 9: Car, Bike, or Train? (Print available)
Lesson 11: Conducting a Simulation to Estimate the Probability of an Event
Lesson 12: Applying Probability to Make Informed Decisions
Unit 8Lesson 7: Weather or NotLesson 8: Simulate It! (Print available)
Topic C Random Sampling and Estimating Population Characteristics 
Lesson 13: Populations, Samples, and Generalizing from a Sample to a PopulationUnit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 11: HeadlinesLesson 12: Flower Power
Lesson 14: Selecting a Sample
Lesson 15: Random Sampling
Lesson 16: Methods for Selecting a Random Sample
Unit 8Lesson 10: Crab Island [Free lesson]Lesson 11: Headlines
Lesson 17: Sampling VariabilityUnit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 13: Plots and Samples
Lesson 18: Sampling Variability and the Effect of Sample Size
Lesson 19: Understanding Variability When Estimating a Population Proportion
Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)
Lesson 20: Estimating a Population Proportion 
Topic D Comparing Populations 
Lesson 21: Why Worry About Sampling Variability?Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)
Lesson 22: Using Sample Data to Compare the Means of Two or More Populations
Lesson 23: Using Sample Data to Compare the Means of Two or More Populations
Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)Lesson 15: Asthma Rates (Print available)

Module 6: Geometry

Topic A Unknown Angles 
Lesson 1: Complementary and Supplementary AnglesUnit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle Diagrams
Lesson 2: Solving for Unknown Angles Using Equations
Lesson 3: Solving for Unknown Angles Using Equations
Lesson 4: Solving for Unknown Angles Using Equations
Unit 7Lesson 1: PinwheelsLesson 2: Friendly AnglesLesson 3: Angle DiagramsLesson 4: Missing Measures (Print available) [Free lesson]
Topic B Constructing Triangles 
Lesson 5: Identical TrianglesUnit 7Lesson 6: Is It Enough?Lesson 7: More Than One
Lesson 6: Drawing Geometric ShapesUnit 7Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)
Lesson 7: Drawing Parallelograms 
Lesson 8: Drawing TrianglesUnit 7Lesson 5: Can You Build It? [Free lesson]Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)Practice Day 1 (Print available)
Lesson 9: Conditions for a Unique Triangle―Three Sides and Two Sides and the Included
Lesson 10: Conditions for a Unique Triangle—Two Angles and a Given Side Angle
Unit 7Lesson 8: Can You Draw It? (Print available)
Lesson 11: Conditions on Measurements That Determine a TriangleUnit 7Lesson 5: Can You Build It? [Free lesson]Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)Practice Day 1 (Print available)
Lesson 12: Unique Triangles―Two Sides and a Non-Included Angle 
Lesson 13: Checking for Identical Triangles
Lesson 14: Checking for Identical Triangles
Unit 7Lesson 6: Is It Enough?Lesson 7: More Than OnePractice Day 1
Lesson 15: Using Unique Triangles to Solve Real-World and Mathematical Problems 
Topic C Slicing Solids 
Lesson 16: Slicing a Right Rectangular Prism with a Plane
Lesson 17: Slicing a Right Rectangular Pyramid with a Plane
Lesson 18: Slicing on an Angle
Unit 7Lesson 9: Slicing Solids
Lesson 19: Understanding Three-Dimensional Figures 
Topic D Problems Involving Area and Surface Area 
Lesson 20: Real-World Area ProblemsUnit 3Lesson 5: Area Strategies
Lesson 21: Mathematical Area ProblemsUnit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)
Lesson 22: Area Problems with Circular RegionsUnit 3Lesson 5: Area StrategiesLesson 8: Area Challenges [Free lesson]
Lesson 23: Surface Area
Lesson 24: Surface Area
Unit 7Lesson 12: Surface Area Strategies (Print available)Lesson 13: Popcorn Possibilities
Topic E Problems Involving Volume 
Lesson 25: Volume of Right PrismsUnit 7Lesson 10: Simple PrismsLesson 11: More Complicated PrismsLesson 13: Popcorn Possibilities
Lesson 26: Volume of Composite Three-Dimensional ObjectsUnit 7Lesson 11: More Complicated Prisms
Lesson 27: Real-World Volume ProblemsUnit 7Lesson 13: Popcorn Possibilities

Grade 8

Module 1: Integer Exponents and Scientific Notation

Eureka MathDesmos Math 6–A1
Topic A Exponential Notation and Properties of Integer Exponents 
Lesson 1: Exponential NotationUnit 7 Lesson 1 Circles [Free lesson]Lesson 2 Combining Exponents
Lesson 2: Multiplication of Numbers in Exponential Form
Lesson 3: Numbers in Exponential Form Raised to a Power
Unit 7 Lesson 2 Combining ExponentsLesson 3 Power Pairs (Print available) [Free lesson]Lesson 4 Rewriting Powers
Lesson 4: Numbers Raised to the Zeroth Power
Lesson 5: Negative Exponents and the Laws of Exponents
Unit 7 Lesson 5 Zero and Negative ExponentsLesson 6 Write a Rule (Print available)Practice Day 1 (Print available)
Lesson 6: Proofs of Laws of Exponents 
Topic B Magnitude and Scientific Notation 
Lesson 7: MagnitudeUnit 7 Lesson 7 Scales and Weights
Lesson 8: Estimating QuantitiesUnit 7 Lesson 7: Scales and WeightsLesson 8: Point ZapperLesson 9: Use Your Powers
Lesson 9: Scientific Notation
Lesson 10: Operations with Numbers in Scientific Notation
Unit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 13: Star Power
Lesson 11: Efficacy of Scientific NotationUnit 7 Lesson 13: Star Power
Lesson 12: Choice of Unit 
Lesson 13: Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using TechnologyUnit 7  Lesson 13: Star Power Practice Day 2 (Print available)

Module 2: The Concept of Congruence

Topic A Definitions and Properties of the Basic Rigid Motions 
Lesson 1: Why Move Things Around?
Lesson 2: Definition of Translation and Three Basic Properties
Unit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]
Lesson 3: Translating LinesUnit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson] Unit 3Lesson 6: Translations
Lesson 4: Definition of Reflection and Basic Properties
Lesson 5: Definition of Rotation and Basic Properties
Lesson 6: Rotations of 180 Degrees
Unit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Topic B Sequencing the Basic Rigid Motions 
Lesson 7: Sequencing Translations
Lesson 8: Sequencing Reflections and Translations
Unit 1Lesson 3: Transformation GolfLesson 6: Connecting the Dots [Free lesson]
Lesson 9: Sequencing Rotations
Lesson 10: Sequences of Rigid Motions
Unit 1Lesson 3: Transformation GolfLesson 6: Connecting the Dots [Free lesson]Lesson 13: Tessellate [Free lesson]Practice Day
Topic C Congruence and Angle Relationships 
Lesson 11: Definition of Congruence and Some Basic PropertiesUnit 1 Lesson 7: Are They the Same?Lesson 8: No Bending, No StretchingLesson 9: Are They Congruent?Practice Day
Lesson 12: Angles Associated with Parallel LinesUnit 1 Lesson 10: Transforming Angles  
Lesson 13: Angle Sum of a TriangleUnit 1 Lesson 11: Tearing It Up (Print available)
Lesson 14: More on the Angles of a TriangleUnit 1 Lesson 11: Tearing It Up (Print available)Lesson 12: Puzzling It Out [Free lesson]
Topic D: The Pythagorean Theorem 
Lesson 15: Informal Proof of the Pythagorean TheoremUnit 8Lesson 7: Pictures to Prove It
Lesson 16: Applications of the Pythagorean TheoremUnit 8Lesson 10: Taco TruckPractice Day 2 (Print available)

Module 3: Similarity

Topic A Dilation 
Lesson 1: What Lies Behind “Same Shape”?Unit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf [Free lesson]
Lesson 2: Properties of Dilations
Lesson 3: Examples of Dilations
Unit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf [Free lesson]Lesson 3: Match My DilationLesson 4: Dilations on a Plane (Print available)
Lesson 4: Fundamental Theorem of Similarity
Lesson 5: First Consequences of FTS
Unit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 6: Dilations on the Coordinate PlaneUnit 8Lesson 4: Dilations on a Plane (Print available)
Lesson 7: Informal Proofs of Properties of Dilations 
Topic B Similar Figures 
Lesson 8: Similarity
Lesson 9: Basic Properties of Similarity
Unit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 10: Informal Proof of AA Criterion for SimilarityUnit 2Lesson 7: Are Angles Enough?
Lesson 11: More About Similar TrianglesUnit 2Lesson 7: Are Angles Enough?Lesson 8: Shadows
Lesson 12: Modeling Using SimilarityUnit 2Lesson 8: ShadowsLesson 9: Water SlideLesson 10: Points on a PlanePractice Day 
Topic C The Pythagorean Theorem 
Lesson 13: Proof of the Pythagorean TheoremUnit 8Lesson 6: The Pythagorean TheoremLesson 7: Pictures to Prove ItLesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 14: The Converse of the Pythagorean TheoremUnit 8 Lesson 9: Make It Right

Module 4: Linear Equations

Topic A Writing and Solving Linear Equations 
Lesson 1: Writing Equations Using Symbols 
Lesson 2: Linear and Nonlinear Expressions in x 
Lesson 3: Linear Equations in xUnit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 4: Solving a Linear EquationUnit 4Lesson 3: Balanced MovesLesson 4: More Balanced MovesLesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 5: Writing and Solving Linear EquationsUnit 3Lesson 1: Turtle Time Trials Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 6: Solutions of a Linear EquationUnit 3Lesson 10: Solutions Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 7: Classification of SolutionsUnit 4Lesson 7: All, Some, or None?
Lesson 8: Linear Equations in Disguise 
Lesson 9: An Application of Linear Equations 
Topic B Linear Equations in Two Variables and Their GraphsUnit 3Lesson 2: Water TankLesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 10: A Critical Look at Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water TankLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 7: Water CoolerLesson 8: Landing PlanesLesson 9: Coin Capture
Lesson 11: Constant RateUnit 2Lesson 9: Water SlideLesson 10: Points on a PlanePractice Day  Unit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations Unit 4Lesson 8: When Are They the Same?
Lesson 12: Linear Equations in Two VariablesUnit 3Lesson 3: PostersLesson 6: Translations Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 13: The Graph of a Linear Equation in Two VariablesUnit 3 Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 10: SolutionsLesson 11: Pennies and Quarters
Lesson 14: The Graph of a Linear Equation―Horizontal and Vertical LinesUnit 3 Lesson 9: Coin CapturePractice Day  [Free lesson]
Topic C Slope and Equations of Lines 
Lesson 15: The Slope of a Non-Vertical LineUnit 3Lesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 8: Landing Planes
Lesson 16: The Computation of the Slope of a Non-Vertical LineUnit 3Lesson 7: Water CoolerLesson 8: Landing Planes
Lesson 17: The Line Joining Two Distinct Points of the Graph 𝑦 = 𝑚x + 𝑏 Has Slope mUnit 3Lesson 7: Water Cooler
Lesson 18: There Is Only One Line Passing Through a Given Point with a Given SlopeUnit 3Lesson 5: Flags [Free lesson]Lesson 7: Water Cooler
Lesson 19: The Graph of a Linear Equation in Two Variables Is a LineUnit 3Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 20: Every Line Is a Graph of a Linear EquationUnit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 21: Some Facts About Graphs of Linear Equations in Two VariablesUnit 3Lesson 3: PostersLesson 6: TranslationsPractice Day 
Lesson 22: Constant Rates RevisitedUnit 2Lesson 9: Water SlideLesson 10: Points on a Plane Unit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water TankLesson 3: Posters
Lesson 23: The Defining Equation of a LineUnit 3Lesson 10: SolutionsLesson 11: Pennies and Quarters
Topic D Systems of Linear Equations and Their Solutions 
Lesson 24: Introduction to Simultaneous EquationsUnit 4Lesson 7: All, Some, or None?Lesson 8: When Are They the Same?Lesson 13: All, Some, or None? Part 2
Lesson 25: Geometric Interpretation of the Solutions of a Linear SystemUnit 4  Lesson 9: On or Off the Line?Lesson 10: On Both LinesLesson 11: Make Them Balance [Free lesson]Lesson 12: Line Zapper [Free lesson]Lesson 13: All, Some, or None? Part 2Practice Day 2 (Print available)
Lesson 26: Characterization of Parallel LinesUnit 3 Lesson 6: Translations
Lesson 27: Nature of Solutions of a System of Linear EquationsUnit 4  Lesson 9: On or Off the Line?
Lesson 28: Another Computational Method of Solving a Linear System 
Lesson 29: Word Problems 
Lesson 30: Conversion Between Celsius and Fahrenheit 
Topic E Pythagorean Theorem 
Lesson 31: System of Equations Leading to Pythagorean Triples 

Module 5: Examples of Functions from Geometry

Topic A Functions 
Lesson 1: The Concept of a FunctionUnit 5 Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Formal Definition of a FunctionUnit 5 Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson] Lesson 3: Function or Not?
Lesson 3: Linear Functions and ProportionalityUnit 3Lesson 1: Turtle Time Trials [Free lesson] Unit 5Lesson 4: Window Frames
Lesson 4: More Examples of FunctionsUnit 5Lesson 3: Function or Not?Lesson 4: Window Frames
Lesson 5: Graphs of Functions and EquationsUnit 5Lesson 4: Window FramesLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 6: Graphs of Linear Functions and Rate of ChangeUnit 2Lesson 9: Water SlideLesson 10: Points on a Plane Unit 3Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 7: Comparing Linear Functions and GraphsUnit 5Lesson 3: PostersLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 8: Graphs of Simple Nonlinear Functions 
Topic B Volume 
Lesson 9: Examples of Functions from GeometryUnit 8Lesson 1: Tilted SquaresLesson 2: From Squares to Roots
Lesson 10: Volumes of Familiar Solids—Cones and CylindersUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling CylindersLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Lesson 11: Volume of a SphereUnit 5 Lesson 15: Spheres Practice Day 2 (Print available)

Module 6: Linear Functions

Topic A Linear Functions 
Lesson 1: Modeling Linear RelationshipsUnit 5 Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 2: Interpreting Rate of Change and Initial ValueUnit 2Lesson 9: Water SlideLesson 10: Points on a Plane Unit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water TankLesson 3: PostersLesson 4: Stacking Cups
Lesson 3: Representations of a LineUnit 5Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 4: Increasing and Decreasing Functions
Lesson 5: Increasing and Decreasing Functions
Unit 5Lesson 1: Turtle Crossing [Free lesson]Lesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing Stories
Topic B Bivariate Numerical Data 
Lesson 6: Scatter Plots
Lesson 7: Patterns in Scatter Plots
Unit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Practice Day 1 (Print available) [Free lesson]
Lesson 8: Informally Fitting a LineUnit 6 Lesson 4: Dapper Cats [Free lesson]Lesson 5: Fit Fights [Free lesson]Lesson 6: Interpreting SlopesLesson 7: Scatter Plot CityLesson 8: Animal BrainsPractice Day 1 (Print available) [Free lesson]Practice Day 2 (Print available)
Lesson 9: Determining the Equation of a Line Fit to Data 
Topic C Linear and Nonlinear Models 
Lesson 10: Linear Models
Lesson 11: Using Linear Models in a Data Context
Unit 5 Lesson 4: Window FramesLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesUnit 6 Lesson 6: Interpreting SlopesLesson 8: Animal BrainsPractice Day 2 (Print available)
Lesson 12: Nonlinear Models in a Data Context 
Topic D Bivariate Categorical Data 
Lesson 13: Summarizing Bivariate Categorical Data in a Two-Way TableUnit 6 Lesson 9: Tasty Fruit
Lesson 14: Association Between Categorical VariablesUnit 6 Lesson 10: Finding Associations [Free lesson] Lesson 11: Federal Budgets Practice Day 3

Module 7: Introduction to Irrational Numbers Using Geometry

Topic A Square and Cube Roots 
Lesson 1: The Pythagorean TheoremUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 2: Square RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Lesson 3: Existence and Uniqueness of Square Roots and Cube RootsUnit 8
Lesson 5: Filling Cubes
Lesson 4: Simplifying Square RootsUnit 8
Lesson 2: From Squares to Roots
Lesson 3: Between Squares
Lesson 4: Root Down [Free lesson]
Practice Day 1 (Print available)
Lesson 5: Solving Equations with Radicals 
Topic B Decimal Expansions of Numbers 
Lesson 6: Finite and Infinite Decimals
Lesson 7: Infinite Decimals
Lesson 8: The Long Division Algorithm
Lesson 9: Decimal Expansions of Fractions, Part 1
Lesson 10: Converting Repeating Decimals to Fractions
Unit 8
Lesson 12: Fractions to Decimals
Lesson 13: Decimals to Fractions
Lesson 11: The Decimal Expansion of Some Irrational Numbers 
Lesson 12: Decimal Expansions of Fractions, Part 2 
Lesson 13: Comparing Irrational NumbersUnit 8
Lesson 14: Hit the Target
Lesson 14: Decimal Expansion of π 
Topic C The Pythagorean Theorem 
Lesson 15: Pythagorean Theorem, RevisitedUnit 8
Lesson 6: The Pythagorean Theorem
Lesson 7: Pictures to Prove It
Lesson 16: Converse of the Pythagorean TheoremUnit 8
Lesson 9: Make It Right
Lesson 17: Distance on the Coordinate PlaneUnit 8
Lesson 11: Pond Hopper
Lesson 18: Applications of the Pythagorean TheoremUnit 8
Lesson 10: Taco Truck [Free lesson]
Practice Day 2 (Print available)
Topic D Applications of Radicals and Roots 
Lesson 19: Cones and Spheres 
Lesson 20: Truncated Cones 
Lesson 21: Volume of Composite Solids 
Lesson 22: Average Rate of Change 
Lesson 23: Nonlinear Motion 

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Welcome to Grade 5

BACK TO MAIN TK–5 PAGE

Amplify Science California is so effective you can cover 100% of the NGSS in half the time of other programs.

You can breathe a sigh of relief knowing all you need is:

  • 88 days per year
  • 2-3 lessons per week
  • 45 minutes per lesson
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What students learn

When you’re ready:

  • Find a summary of each unit below including each unit’s student role and anchor phenomenon.
  • Click on the orange “See how the unit works” link to download a helpful Unit Guide. These guides make great companions to busy reviewers looking for a big-picture understanding of how each unit works.
Illustration of the Earth orbiting the Sun. The Earth's orbital path is indicated by a dashed blue line and a white arrow showing its direction. The background is a star-filled space.

Unit 1

Patterns of Earth and Sky

Student role: Astronomers

Phenomenon: An ancient artifact depicts what we see in the sky at different times of the day, but it appears to be missing a piece.

See how this unit works

Red and white capsules scattered on a vibrant red and white background.

Unit 2

Modeling Matter

Student role: Food scientists

Phenomenon: Some ingredients dissolve in a salad dressing while others, like oil and vinegar, appear to separate.

See how this unit works

Illustration of a pixelated green mountain cliff deconstructing into a digital grid, with red dots floating over a tranquil sea and flying white birds.

Unit 3

The Earth System

Student role: Water resource engineers

Phenomenon: East Ferris, a city on one side of the fictional Ferris Island, is experiencing a water shortage, while West Ferris is not.

See how this unit works

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Unit 4

Ecosystem Restoration

Student role: Ecologists

Phenomenon: The jaguars, sloths, and cecropia trees in a reforested section of a Costa Rican rain forest are not growing or thriving.

See how this unit works

How teachers teach

When you’re ready:

  • Scroll down and take a closer look at your classroom resources.
  • Click on the orange links below each component to see grade-specific samples.
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Classroom Slides

These customizable PowerPoints are available for every lesson of the program and make delivering instruction a snap with visual prompts, colorful activity instructions, investigation set-up videos and animations, and suggested teacher talk in the notes section of each slide.

Video introduction to Classroom Slides

Sample Classroom Slides

Sample Classroom Slides (Spanish)

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Available digitally and in print, our unit-specific reference guides are chock full of helpful resources, including scientific background knowledge, planning information and resources, color-coded 3-D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.

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Materials Kits

Our kits include enough non-consumable materials to support a class of 36 students and enough consumable items to support 72 students. In other words, each kit can last two years! Plus, our unit-specific kits mean you just grab the tub you need and then put it all back with ease.

List of investigations by unit

List of materials by unit

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Our award-winning Student Books include content-rich nonfiction and informational texts designed to introduce concepts and also deepen understanding. Books are read to, with, and by students with ample scaffolding and support provided by the teacher in whole-class, small-groups, and student pairs.

List of Student Books by unit

Sample Student Book

Sample Student Book (Spanish)

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Practice Tools

Our digital Simulations and Practice Tools are powerful resources for exploration and data collection, and allow students the ability to explore scientific concepts that might otherwise be invisible or impossible to see with the naked eye.

Video overview of digital tools

List of digital tools by unit

Device calendars by unit

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Available for every unit, our Student Investigation Notebooks contain instructions for activities and space for students to record data and observations, reflect on ideas from texts and investigations, and construct explanations and arguments.

Sample Student Investigation Notebook

Sample Student Investigation Notebook (Spanish)

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Mystery Science

Our exclusive partnership with Mystery Science means you get our NGSS core curriculum plus two years of free access to Mystery Doug and his extensive library of captivating videos that deepen students’ understanding of each unit’s phenomenon.

Mystery Science lesson alignment

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Coming Soon

Unlike other publishers, we don’t make you wait until your next adoption to get the latest and greatest from Amplify. We’re always launching new and exciting features. What’s more, we’ll push them out to you even after you adopt us!

See what’s coming for 2020-2021

Welcome, Florida middle school educators!

Amplify ELA Florida is the program built for Florida middle school teachers and students. We designed the program to help ensure the B.E.S.T standards are covered; the skills are taught; the test is prepped for; and your students are scaffolded and encouraged. We want you to spend your time bringing the text to life, making the classroom hum, and letting every student know you are paying attention to their growth.

Amplify ELA Florida Program Guide

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A teacher assists two students with a laptop in a classroom, one wearing a hijab, conveying a supportive educational environment.

Instruction matters

Florida’s new standards have been crafted to give your students the B.E.S.T. Amplify ELA Florida’s lessons explore the most compelling aspect of a text and target the standards that best support that analysis through reading, writing, and communication. These key standards are identified as the lesson’s Spotlight benchmark.  Strategic connections are attained in the program through:

  • Florida model texts including rich literature and compelling non-fiction, taught in engaging new ways for today’s learners.
  • Benchmark stacks that build connections within lessons and across units.
  • Foundational instruction that targets key standards and multiple learning modes.
  • Writing that builds directly from reading complex text and is evaluated by Amplify’s Automated Writing Evaluation (AWE).
  • Reading with the B.E.S.T. Modules have been built to guide teachers and students as they begin to work with Florida’s new reading standards, providing an introduction to each grade-level B.E.S.T. Reading Benchmark. (Example module: Grade 6, Understanding Rhetoric)

Knowledge matters

Texts in the Amplify ELA Florida Edition curriculum cover a wide range of topics, themes, and genres with differentiated supports that ensure that all students can work through each reading and lesson. Taken as a whole, the texts show students a diverse picture of the world and help foster a lifelong love of reading. Comprehension develops as students engage with literary and informational text selections that are complex, rich, and meaningful. 

Texts were selected for Amplify ELA Florida Edition using the following criteria: 

  • Text complexity as defined by qualitative, quantitative, and reader and task measurements as required by the B.E.S.T. Standards and the Amplify Text Complexity Index
  • Balance of literary and informational texts
  • Varied representation of genres: novels, plays, poetry, biographies, and other full-length texts
  • Diverse cultures, perspectives, and authors
  • Engaging texts that extend learning and support students as they build knowledge
  • Grade-appropriate texts, with scaffolding and compelling activities to support student engagement with 100% authentic texts
  • A library with more than 700 complete books, both classic and contemporary, encompassing a wide range of genres, topics, and cultural perspectives
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Curriculum matters

Amplify ELA Florida is a blended curriculum designed specifically for grades 6–8. The heart of every lesson is the text. Each grade includes six units centered on literary or informational texts, delivered in several forms of media. Your classroom will also benefit from two or three immersive, project-based experiences and a dedicated Story Writing unit.

  • Full B.E.S.T. coverage: Standards are clearly labeled in each lesson, so teachers can save time planning and get back to what they love: teaching. Also included are Benchmark Modules that support teachers’ and students’ introduction to the new standards for Florida.
  • Five levels of differentiation: Based on each student’s needs and the performance measures within Amplify ELA reports, a teacher can choose the differentiation level that’s the right fit for everyone.
  • Embedded Assessments: Teachers benefit from uninterrupted instructional time and a continuously updated picture of each student’s progress with key skills and standards.
  • Powerful feedback tools: Comprehensive tools help teachers maximize both the quantity and quality of feedback.
  • Robust reporting: Our reporting app offers information on student progress to help inform instructional decisions.

All in one place: Embedded teacher support, differentiation tools, student data, text, and other curriculum features—they’re all right there.

Materials

Amplify ELA Florida Edition is a blended curriculum that seamlessly integrates print and digital resources to be used in any learning environment. The resources are designed to facilitate instruction for planning, teaching, learning, and assessment.

Student materials

Available digitally and in print, the student materials guide middle schoolers through complex texts and writing with the following:

  • Student Edition will engage students with high-quality narrative and informational texts.
  • Digital experience will provide videos, a library of more than 700 texts, audio supports, and other online experiences that capture their attention.
A laptop displays a web page titled "read like a movie director, part 1" from amplify ela, featuring text and an eyeball image under the lesson tab.
A laptop displaying a webpage from "amplify ela" featuring the title "brain science" and various educational topics alongside an illustrated collage of diverse human figures.

Teacher materials

Available digitally and in print, the Teacher Edition contains all of the information teachers need to facilitate classroom instruction, including:

  • From detailed lesson plans.
  • Video teacher tips embedded in the lesson.
  • B.E.S.T. standards alignment and assessments including exit tickets.
  • Real-time differentiation strategies.
  • Clarify and Compare lessons.
  • Robust reporting.

Professional learning

Amplify employs a national cohort of more than 50 ELA facilitators, all of whom have experience as former classroom teachers and many of whom are former school and/or district leaders. Our professional learning team has decades of experience working with large districts across the nation. Amplify has experience supporting district launches over multiple years and has partnered with districts of all sizes nationwide. We partner deeply with districts and tailor professional learning to their unique needs.

Florida ELA Implementation

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Welcome to the Amplify CKLA 3rd Edition program review site!

We’re excited to share everything you need to review Amplify CKLA 3rd Edition, our K–5 core literacy program. On this site, you’ll find a range of materials, including Teacher Guides, Activity Books, and Student Readers, organized by grade and unit.

Please note that the files on this site are static representations of the high-quality materials you’ll receive with your purchase.

We hope you find the site helpful! If you have any questions, please reach out to your Amplify representative.

Reviewer resources

Access key materials designed to support your review of Amplify CKLA 3rd Edition.

Kindergarten

Explore all available resources for Kindergarten, organized by strand and unit.

Knowledge Strand

Unit 1: Star Light, Star Bright: Nursery Rhymes and Fables

Unit 2: See, Hear, Smell, Taste, Touch: The Five Senses

Unit 3: Underdogs and Heroes: Stories

Unit 4: See How They Grow: Plants

Unit 5: Moo, Cluck, Oink: Farms

Unit 6: Deep Roots: Introduction to Native American Cultures

Unit 7: All Around the World: Geography

Unit 8 (Choice): Royal Tales: Monarchs

Unit 8 (Choice): National Icons: Presidents and American Symbols

Unit 9 (Choice): Our Planet: Taking Care of the Earth

Unit 9 (Choice): Rain and Rainbows: Seasons and Weather

Unit 10: Shaped by Nature: Art and the World Around Us

Skills Strand

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Unit 6

Unit 7

Unit 8

Unit 9

Unit 10

Ancillary Components

 

Grade 1

Explore all available resources for Grade 1, organized by strand and unit.

Knowledge Strand

Unit 1: The Moral of the Story: Fables and Tales

Unit 2: From Nose to Toes: How Your Body Works

Unit 3: Common Threads: Different Lands, Similar Stories

Unit 4: Reach for the Stars: Astronomy

Unit 5: Charting the World: Geography

Unit 6: A World of Homes: Animals and Habitats

Unit 7: A New Nation: American Independence

Unit 8 (Choice): Once Upon a Time: Fairy Tales

Unit 8 (Choice): Our Planet: The History of the Earth

Unit 9 (Choice): From Babylon to the Nile: Early World Civilizations

Unit 9 (Choice): Early Americas: Maya, Aztec, and Inca

Unit 10: Adventure Stories: Tales from the Edge

Skills Strand

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Unit 6

Unit 7

Ancillary Components

 

Grade 2

Explore all available resources for Grade 2, organized by strand and unit.

Knowledge Strand

Unit 1: Fortunes and Feats: Fairy Tales and Tall Tales

Unit 2: The Birthplace of Democracy: Ancient Greece

Unit 3: Legends and Heroes: Greek Myths

Unit 4: Our Planet: Cycles in Nature

Unit 5: Butterflies, Bees, and Beetles: Insects

Unit 6: A House Divided: The American Civil War

Unit 7: Sounds and Stanzas: Poetry

Unit 8 (Choice): Journeys to America: Immigration

Unit 8 (Choice): Making a Difference: Creating Change

Unit 9 (Choice): Building Blocks: All About Nutrition

Unit 9 (Choice): Early Asian Civilizations: India and China

Unit 10: Taking Flight: The Age of Aviation

Skills Strand

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Unit 6

Ancillary Components

   

Grade 3

Explore all available resources for Grade 3, organized by unit.

Core Units

Unit 1: Timeless Tales: Classic Stories

Unit 2: Fur, Fins, and Feathers: Animal Classification

Unit 3: Rhythm and Rhyme: Poetry

Unit 4: Rise and Fall: Ancient Rome

Unit 5: Our Solar System and Beyond: Astronomy

Unit 6: Regions and Cultures: Native Americans

Unit 7 (Choice): Novel Study: Charlotte’s Web

Unit 7 (Choice): Novel Study: Stella Díaz Has Something to Say

Unit 8 (Choice): Systems and Senses: The Human Body

Unit 8 (Choice): From Glow to Echo: Light and Sound

Unit 9: From Blues to Bebop: All That Jazz

 

Supplemental Skills

Grade 3 Skills resources are included in core classroom kits, although the instruction isn’t required for Grade 3 standards coverage.

Unit 1

Unit 2

Unit 3

Unit 4

   

Grade 4

Explore all available resources for Grade 4, organized by unit.

Unit 1: My Story, My Voice: Personal Narratives

Unit 2: Knights and Castles: Europe’s Middle Ages

Unit 3: Meaning and Metaphor: Poetry

Unit 4: Eureka! Student Inventor

Unit 5: Our Planet: Geology

Unit 6: Road to Independence: The American Revolution

Unit 7 (Choice): Novel Study: From the Mixed-Up Files of Mrs. Basil E. Frankweiler

Unit 7 (Choice): Novel Study: The Season of Styx Malone

Unit 8 (Choice): Crafting Stories: A World of Tales

Unit 8 (Choice): Adventure on the High Seas: Treasure Island

Unit 9: Inspiration and Ingenuity: American Innovation

Grade 5

Explore all available resources for Grade 5, organized by unit.

Unit 1: In My Own Words: Personal Narratives

Unit 2: Early Americas: Maya, Aztec, and Inca

Unit 3: Visions in Verse: Poetry

Unit 4: A Knight’s Tale: Don Quixote

Unit 5: The Deep Blue World: Oceans

Unit 6: Cultures and Histories: Native Americans

Unit 7 (Choice): Novel Study: The Phantom Tollbooth

Unit 7 (Choice): Novel Study: The Science of Breakable Things

Unit 8 (Choice): Arts and Culture: The Renaissance

Unit 8 (Choice): Through the Forest: A Midsummer Night’s Dream

Unit 9: Building Up the World: Global Architecture

 

Digital platform

Amplify CKLA’s all-in-one platform offers essential tools that streamline instruction for teachers and engage students with meaningful content. Teachers can plan and deliver lessons efficiently, while students can access assignments, assessments, and fun practice games.

A digital interface showing an assessment report on a monitor and a multiple-choice question on a tablet screen. Both screens display educational content from Amplify's assessment tools, providing personalized learning for multilingual learners.

Presentation Screens
Deliver interactive lessons with ready-made, customizable slides for every lesson.

Auto-scored digital assessments
Assess vocabulary, comprehension, and knowledge development at the end of each K–2 Knowledge and 3–5 Integrated Unit.

Standards-based reports
Identify strengths and growth areas for individuals, small groups, or your entire class. Interactive dashboards offer detailed results from assessments and activities.

Skill-building practice games
Engage students with interactive games that reinforce concepts and make learning fun. Powered by Boost Reading™, these games align with lessons and provide real-time feedback.

eReader
Students access texts, take notes, and use audio-enabled eReaders to enhance their reading experience.

Sound Library
Students watch articulation videos and listen to songs for each sound to support phonological awareness.

Vocab App
Helps students in Grades 3–5 practice Amplify CKLA Tier 2 vocabulary words with fun, interactive games.

Intervention Toolkit
Offers user-friendly resources designed to aid educators in identifying and addressing deficiencies in students’ foundation skills.

Oregon Enhanced ELA State Review for K–5

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Core STEM programs: Strengthen sessions

Professional development sets teachers and leaders up for success, whether they are new to or experienced with a program. Each Strengthen session promotes a deeper understanding of the program through targeted instructional practices.

Explore STEM Strengthen sessions by program below.

Professional Learning Partner Guide Certified Provider

Amplify professional development has been vetted by Rivet Education’s team through a rigorous three-step process and is listed in the Professional Learning Partner Guide.

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About Strengthen sessions

Support Amplify implementation with sessions that target specific instructional practices for teachers and leaders in year one and beyond. When you’re ready to schedule your Strengthen session, contact us. An Amplify expert will support you in selecting the session that best fits your needs and that will help you push student results forward.

Each package includes one Strengthen session. Additional sessions can be added as enhancements.

Amplify Math

Amplify Math is a core math curriculum that serves 100% of students in accessing grade-level math every day. The program delivers engaging grade-level math lessons; flexible, social problem-solving experiences both online and off ; and insights, data, and reporting that drive performance.

Explore the Amplify Math Strengthen sessions (for grade bands 6–Algebra 1) for Begin packages and beyond. Click the session title or scroll down to learn more about each session.

Begin packages

  On-site package
(15 hr.)
Hybrid
on-site package

(15 hr.)
Hybrid 10 package
(10 hr.)
Hybrid
virtual package

(15 hr.)
Virtual package
(7 hr.)
One session per package On-site
3 hr. sessions
On-site
3 hr. sessions
Virtual
1 hr. sessions
Virtual
3 hr. sessions
Virtual
1 hr. sessions
Enhancing planning A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
Enhancing practice
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Enhancing observations for leaders A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
Unit-level planning
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Lesson-level planning
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Increasing engagement with instructional routines     A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.

Begin: Enhancing planning for teachers

On-site or virtual, 3 hours

Prepare to teach Amplify Math lessons effectively, by engaging in collaborative backward planning with experts. Work alongside our facilitators to understand how to target key concepts and make successful instructional decisions across a unit, and leave with a completed unit plan for your class.

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Enhancing practice for teachers

On-site or virtual, 3 hours

See the Launch, Monitor, Connect problem-based learning model in action, and practice integrating these practices into your facilitation of lesson activities. Leave with guidelines for using the Launch, Monitor, Connect model that you can implement during your next lesson.

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Enhancing observations for leaders

On-site or virtual, 3 hours

Learn to use our non-evaluative classroom look-for tool for Amplify Math to promote the use of instructional resources, focus on instructional delivery, and monitor instruction. Leave with an action plan for collecting and analyzing observation data to support teachers in their implementation of Amplify Math.

Audience: Leaders (maximum 30 participants)

Begin: Strengthen Focus: Unit-level planning

Virtual, 1 hour

Dive into unit planning as you learn the story of how your upcoming unit is tied to other units and grade levels, and discover the big ideas you will explore alongside your students in Amplify Math.

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Strengthen Focus: Lesson-level planning

Virtual, 1 hour

Dive into lesson-level planning as you learn how to create a road map that guides student learning, makes connections across lessons, and measures student understanding of the learning goals in Amplify Math.

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Strengthen Focus: Increasing engagement with instructional routines

Virtual, 1 hour

Explore how to use Instructional Routines such as Notice and Wonder to support and engage students as they make sense of new contexts and mathematical problems in Amplify Math.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice packages

  On-site package
(15 hr.)
Hybrid 15,
on-site package

(15 hr.)
Hybrid 13 package
(13 hr.)
Virtual package
(9 hr.)
One session per package On-site
3 hr. sessions
On-site
3 hr. sessions
Virtual
1 hr. sessions
Virtual
1 hr. sessions
Enhancing planning for teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Enhancing practice for teachers
A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Enhancing observations for leaders A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Using differentiation supports for teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.    A large, light peach-colored checkmark on a transparent background. 
Using data to drive instruction for teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Addressing prerequisite skills for teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Orchestrating math discussions for teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Building language with math routines for teachers     A large, light peach-colored checkmark on a transparent background.  
Unit-level planning for teachers     A large, light peach-colored checkmark on a transparent background.  
Lesson-level planning for teachers     A large, light peach-colored checkmark on a transparent background.  
Increasing engagement with Instructional Routines for teachers     A large, light peach-colored checkmark on a transparent background.  

Practice: Enhancing planning for teachers

On-site or virtual, 3 hours

Prepare to effectively teach Amplify Math lessons by engaging in collaborative backward planning with experts. Work alongside our facilitators to understand how to target key concepts and make effective instructional decisions across a unit, and leave with a completed unit plan for your class.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Enhancing practice for teachers

On-site or virtual, 3 hours

See the Launch, Monitor, Connect problem-based learning model in action, and practice integrating these practices into your facilitation of lesson activities. Leave with guidelines for using the Launch, Monitor, Connect model that you can implement during your next lesson.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Enhancing observations for leaders

On-site or virtual, 3 hours

Learn to use our non-evaluative classroom look-for tool for Amplify Math to promote the use of instructional resources, focus on instructional delivery, and monitor instruction. Leave with an action plan for collecting and analyzing observation data to support teachers in their implementation of Amplify Math.

Audience: Leaders (maximum 30 participants)

Practice: Using differentiation supports for teachers

On-site or virtual, 3 hours

Learn how to leverage embedded differentiated supports in Amplify Math to ensure that all students can be successful. Walk away with a plan for supporting students in your classroom including English Language Learners (ELLs), students with disabilities, students who may need extra support, and advanced students.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Using data to drive instruction for teachers

On-site or virtual, 3 hours

Grow your proficiency in data analysis.Turn student data gathered within Amplify Math into differentiated instruction targeting specific skills. Walk away ready to use the data provided in the curriculum to align embedded support to your students’ unique needs.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Addressing prerequisite skills for teachers

On-site or virtual, 3 hours

Explore Amplify Math’s just-in-time approach to addressing prerequisite skills. Leave with a deeper understanding of how to use embedded curriculum resources to identify and support prerequisite skills essential for your next unit.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Orchestrating math discussions for teachers

On-site or virtual, 3 hours

Learn strategies for leading discussions that promote more math talk among all students in your classroom. Walk away with strategies and Amplify Math curriculum tools you can bring back to your classroom to enhance discussion in your next lesson.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Strengthen Focus: Building language with math routines for teachers

Virtual, 1 hour

Explore how Math Language Routines support students as they make sense of new contexts and mathematical problems in Amplify Math. Leave with strategies for using these routines to support students in learning mathematical practices, content, and language in your upcoming lessons.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Strengthen Focus: Unit-level planning for teachers

Virtual, 1 hour

Dive into unit planning as you learn the story of how your upcoming unit is tied to other
units and grade levels, and discover the big ideas you’ll explore alongside your students in Amplify Math.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Strengthen Focus: Lesson-level planning for teachers

Virtual, 1 hour

Dive into lesson-level planning as you learn how to create a roadmap for a lesson that guides student learning, makes connections across lessons, and measures student understanding of the learning goals in Amplify Math.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Strengthen Focus: Increasing engagement with Instructional Routines for teachers

Virtual, 1 hour

Explore how to leverage Instructional Routines such as Notice and Wonder to support students as they make sense of new contexts and mathematical problems in Amplify Math.

Audience: Teachers, instructional staff (maximum 30 participants)

Amplify Desmos Math

Amplify Desmos Math is a new core K–12 program from Amplify and Desmos Classroom —available in English and Spanish—that applies a problem-based approach to develop deep conceptual understanding, procedural fluency, and application. Using technology inspired by students’ natural curiosity, Amplify Desmos Math connects the classroom and fosters real collaboration, discourse, and perseverance in problem-solving. Captivating activities, powerful teaching tools, and lots of support enable students to develop math proficiency that lasts a lifetime.

Explore the Amplify Desmos Math Strengthen sessions (for grades PreK–Algebra 2) for Begin packages and beyond. Click the session title or scroll down to learn more about each session.

Begin packages

Strengthen sessions

  On-site package
(15 hr.)
Hybrid 15,
on-site package

(15 hr.)
Hybrid 10 package
(10 hr.)
Hybrid 15, virtual package
(15 hr.)
Virtual package
(7 hr.)
One session per package On-site,
3 hr.
On-site,
3 hr.
Virtual,
1 hr.
Virtual,
3 hr.
Virtual,
1 hr.
Enhancing planning for K–5 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
Enhancing planning for 6–A1 teachers
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Enhancing practice for K–5 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
Enhancing practice for 6–A1 teachers
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Desmos Math to Amplify Desmos Math 6–A1 transition training for teachers     A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.

Begin: Enhancing planning for K–5 teachers

On-site or virtual, 3 hours

Dive into planning for Amplify Desmos Math, both big picture and day-to-day. Practice using lesson and unit planning protocols that will help you build a deep understanding of the math content you’ll be teaching and the planning resources available to you in the curriculum. Walk away with practical strategies for planning, even when you may not have much time.

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Enhancing planning for 6–A1 teachers

On-site or virtual, 3 hours

Dive into both big-picture and day-to-day planning for Amplify Desmos Math. Practice using lesson and unit planning protocols that will help you build a deep understanding of the math content you’ll be teaching and the planning resources available to you in the curriculum. Walk away with practical strategies for planning, even when you may not have much time.

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Enhancing practice for K–5 teachers

On-site or virtual, 3 hours

Dig into Amplify Desmos Math’s Launch, Monitor, Connect framework to level-up the student discourse in your math class. Explore in-the-moment differentiation support to help you orchestrate discussion and make the most out of key opportunities for conversation and collaboration.

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Enhancing practice for 6–A1 teachers

On-site or virtual, 3 hours

Dig into Amplify Desmos Math’s Launch, Monitor, Connect framework to level up the student discourse in your math classroom. Learn strategies for leveraging the tools in the Teacher Dashboard to orchestrate discussion, and practice planning moves to make the most out of key discussion moments.

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Strengthen Focus: Desmos Math to Amplify Desmos Math 6–A1 transition training for teachers

Virtual, 1 hour

Participants will get an overview of the similarities and differences between Desmos Math and Amplify Desmos Math, including becoming familiar with changes in materials, the digital platform, and key lesson, assessment, and reporting components.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice packages

Strengthen sessions

  On-site package
(15 hr.)
Hybrid 15,
on-site package

(15 hr.)
Hybrid 13 package
(13 hr.)
Virtual package
(9 hr.)
One session per package On-site,
3 hr.
Virtual,
3 hr.
Virtual,
1 hr.
Virtual,
3 hr.
Enhancing planning for
K–5 teachers
A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Enhancing planning for
6–A1 teachers

A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Enhancing practice for
K–5 teachers
A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Enhancing practice for
6–A1 teachers

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Strengthen Focus: Teaching a digital lesson for K–5 teachers     A large, light peach-colored checkmark on a transparent background.  
Strengthen Focus: Snapshots in the Teacher Dashboard for 6–A1 teachers     A large, light peach-colored checkmark on a transparent background.  

Practice: Enhancing planning for K–5 teachers

On-site or virtual, 3 hours

Dive into both big-picture and day-to-day planning for Amplify Desmos Math. Practice using lesson and unit planning protocols that will help you build a deep understanding of the math content you’ll be teaching and the planning resources available to you in the curriculum. Walk away with practical strategies for planning, even when you may not have much time.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Enhancing planning for 6–A1 teachers

On-site or virtual, 3 hours

Dive into both big-picture and day-to-day planning for Amplify Desmos Math. Practice using lesson and unit planning protocols that will help you build a deep understanding of the math content you’ll be teaching and the planning resources available to you in the curriculum. Walk away with practical strategies for planning, even when you may not have much time.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Enhancing practice for K–5 teachers

On-site or virtual, 3 hours

Dig into Amplify Desmos Math’s Launch, Monitor, Connect framework to level-up the student discourse in your math class. Explore in-the-moment differentiation support to help you orchestrate discussion and make the most out of key opportunities for conversation and collaboration.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Enhancing practice for 6–A1 teachers

On-site or virtual, 3 hours

Dig into Amplify Desmos Math’s Launch, Monitor, Connect framework to level up the student discourse in your math classroom. Learn strategies for leveraging the tools in the Teacher Dashboard to orchestrate discussion, and practice planning moves to make the most out of key discussion moments.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Strengthen Focus: Teaching a digital lesson for K–5 teachers

Virtual, 1 hour

Get ready to facilitate digital lessons with your students. Explore what’s possible with the Teacher Dashboard and plan to make the most of these exciting instructional moments.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Strengthen Focus: Snapshots in the Teacher Dashboard for 6–A1 teachers

Virtual, 1 hour

Explore how to use the Snapshots tool in the Teacher Dashboard to create a collaborative classroom that invites and celebrates student thinking. Leave with planning tips and tricks that will get you ready to use Snapshots during your busy math classes.

Audience: Teachers, instructional staff (maximum 30 participants)

Amplify Science

Amplify Science is a K–8 science curriculum that blends hands-on investigations, literacy-rich activities, and interactive digital tools to empower students to think, read, write, and argue like real scientists and engineers. 

Explore the Amplify Science sessions (for grade bands K–5 and 6–8) for year one packages and beyond. Select the session title or scroll to learn more about each session.

Begin packages

Strengthen sessions

  On-site package
(15 hr.)
Hybrid 15,
on-site package

(15 hr.)
Hybrid 10 package
(10 hr.)
Hybrid 15, virtual package
(15 hr.)
Virtual package
(7 hr.)
One session per package On-site,
3 hr.
Virtual,
3 hr.
Virtual,
1 hr.
Virtual,
3 hr.
Virtual,
1 hr.
Enhancing planning
(K–5 or 6–8)
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Enhancing practice
(K–5 or 6–8)

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Enhancing observations for leaders
(K–8)
A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
Planning an Amplify Science lesson
(K–8) 

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Supporting diverse learners: Exploring the resources
(K–8)

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Supporting diverse learners with embedded supports: Teacher modeling and student discourse
(K–8) 

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Begin: Enhancing planning for teachers
(grades K–5 or 6–8)

On-site or virtual, 3 hours

Learn how to use a planning protocol to internalize an upcoming Amplify Science unit. Leave with a plan to support students engaging in three-dimensional learning while also meeting the diverse needs of students in your classroom.

Audience: Teachers, instructional staff grades K–5 or 6–8 (maximum 30 participants)

Begin: Enhancing practice for teachers
(grades K–5 or 6–8)

On-site or virtual, 3 hours

Learn how Amplify Science supports phenomenon-based learning. Experience a sequence of model instruction from the curriculum, and walk away with a plan for how you can enhance the curriculum through your teaching practice to build a powerful culture of “figuring out” in your science classroom.

Audience: Teachers, instructional staff grades K–5 or 6–8 (maximum 30 participants)

Begin: Enhancing observations for leaders (grades K–8)

On-site or virtual, 3 hours

Learn to use the non-evaluative classroom walkthrough tool for Amplify Science to promote the use of instructional resources, focus on instructional delivery, and monitor instruction. Leave with an action plan for collecting and analyzing observation data to support teachers in their implementation of Amplify Science.

Audience: Leaders grades K–8 (maximum 30 participants)

Begin: Strengthen Focus: Planning an Amplify Science lesson

Virtual, 1 hour

Develop structure and routines for planning Amplify Science lessons and leave prepared for an upcoming lesson.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Begin: Strengthen Focus: Supporting diverse learners: Exploring the resources (grades K–8)

Virtual, 1 hour

Learn how to use lesson-specific differentiation briefs, embedded assessments, and activity-specific teacher support notes to maximize instruction for diverse learners with Amplify Science.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Begin: Strengthen Focus: Supporting diverse learners with embedded supports: Teacher modeling and student discourse (grades K–8)

Virtual, 1 hour

Explore ways to leverage and build upon two key instructional elements in Amplify Science, and plan how you’ll use these supports to engage diverse learners in your next lesson.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Practice packages

Strengthen sessions

  On-site package
(15 hr.)
Hybrid 15,
on-site package

(15 hr.)
Hybrid 13 package
(13 hr.)
Virtual package
(9 hr.)
One session per package On-site,
3 hr.
Virtual,
3 hr.
Virtual,
1 hr.
Virtual,
3 hr.
Enhancing planning
(K–5 or 6–8)
A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Enhancing practice
(K–5 or 6–8)

A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Enhancing observations for leaders
(K–8)
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Supporting all learners with complex texts
(K–5 or 6–8)

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Supporting English learners (K–5 or 6–8)
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Writing in science (K–5 or 6–8) A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Assessment system (K–5 or 6–8)
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Engineering Internships (6–8)
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Science Seminar (6–8)
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Planning an Amplify Science lesson (K–8)
    A large, light peach-colored checkmark on a transparent background.  
Supporting diverse learners: Exploring the resources (K–8)
    A large, light peach-colored checkmark on a transparent background.  
Supporting diverse learners: Teacher modeling and student discourse (K–8)
    A large, light peach-colored checkmark on a transparent background.  
Analyzing student work (K–8)
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Supporting diverse learners: Multimodal learning and multiple at-bats (K–8)
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Grading with Amplify Science (K–8)
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Enhancing the digital experience (K–5)
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Planning with the Coherence Flowchart (K–8)
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Practice: Enhancing planning for teachers
(grades K–5 or 6–8)

On-site or virtual, 3 hours

Learn how to use a planning protocol to internalize an upcoming Amplify Science unit. Walk away with a plan to support students engaging in three-dimensional learning while also meeting the diverse needs of students in your classroom.

Audience: Teachers, instructional staff grades K–5 or 6–8 (maximum 30 participants)

Practice: Enhancing practice for teachers
(grades K–5 or 6–8)

On-site or virtual, 3 hours

Learn how Amplify Science supports phenomenon-based learning. Experience a sequence of model instruction from the curriculum, and walk away with a plan for how you can enhance the curriculum through your teaching practice to build a powerful culture of “figuring out” in your science classroom.

Audience: Teachers, instructional staff grades K–5 or 6–8 (maximum 30 participants)

Practice: Enhancing observations for leaders
(grades K–5 or 6–8)

On-site or virtual, 3 hours

Learn to use the non-evaluative classroom walkthrough tool for Amplify Science to promote the use of instructional resources, focus on instructional delivery, and monitor instruction. Leave with an action plan for collecting and analyzing observation data to support teachers in their implementation of Amplify Science.

Audience: Leaders grades K–5 or 6–8 (maximum 30 participants)

Practice: Supporting all learners with complex texts (grades K–5 or 6–8)

On-site or virtual, 3 hours

Collaborate to solve common reading challenges alongside other educatorsLearn strategies to support students in grades K–5 or 6–8 in accessing complex texts in Amplify Science units by engaging in a model reading sequence. Leave with a plan for incorporating effective strategies into your upcoming Amplify Science reading lesson.

Audience: Teachers, instructional staff grades K–5 or 6–8 (maximum 30 participants)

Practice: Supporting English learners (grades K–5 or 6–8)

On-site or virtual, 3 hours

Explore strategies and engage in model activities to support multilingual/English learners in grades K–5 or 6–8 in developing their abilities to do, talk, read, write, visualize, and construct arguments in Amplify Science. Leave with strategies to support a deeper understanding of the critical role that language and literacy play in developing scientific understanding.

Audience: Teachers, instructional staff grades K–5 or 6–8 (maximum 30 participants)

Practice: Writing in science (grades K–5 or 6–8)

On-site or virtual, 3 hours

Develop an understanding of how the Amplify Science writing approach supports students in grades K–5 or 6–8 in engaging in science practices, making sense of science ideas, and growing as writers. Leave with a plan for supporting student writing in your next unit.

Audience: Teachers, instructional staff grades K–5 or 6–8 (maximum 30 participants)

Practice: Assessment system (grades K–5 or 6–8)

On-site or virtual, 3 hours

Available: Fall 2024

Analyze a sample formative assessment, deepen your understanding of Amplify Science unit learning progressions, and participate in discussions to understand the relationships between different types of assessments and your unit’s learning goals. Walk away with strategies for collecting, analyzing, and responding to student assessment data.

Audience: Teachers, instructional staff grades of K–5 or 6–8 (maximum 30 participants)

Practice: Engineering Internships (grades 6–8)

On-site or virtual, 3 hours

Plan for the first Amplify Science Engineering Internship course of your grade level (6–8) by exploring the Futura workspace and digital tools students will use during the Internship experience. Leave with an understanding of how students will apply science concept knowledge to construct design solutions. This session will feature one of the following Engineering Internships based on your need: Metabolism, Plate Motion, or Force and Motion unit.

Audience: Teachers, instructional staff grades 6–8 (maximum 30 participants)

Practice: Science Seminar (grades 6–8)

On-site or virtual, 3 hours

Experience a Science Seminar sequence of a sample Amplify Science grade 6–8 unit from the student perspective to gain an understanding of how students apply science concepts to engage in argumentation about a phenomenon. Leave with a plan for teaching a Science Seminar unit in your own classroom.

Audience: Teachers, instructional staff grades 6–8 (maximum 30 participants)

Practice: Strengthen Focus: Planning an Amplify Science lesson (grades K–8)

Virtual, 1 hour

Develop a structure for planning Amplify Science lessons and leave prepared for an upcoming lesson.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Practice: Strengthen Focus: Supporting diverse learners: Exploring the resources (grades K–8)

Virtual, 1 hour

Learn how to use lesson-specific differentiation briefs, embedded assessments, and activity-specific teacher support notes to supplement instruction for diverse learners with Amplify Science.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Practice: Strengthen Focus: Supporting diverse learners: Teacher modeling and student discourse (grades K–8)

Virtual, 1 hour

Explore ways to leverage and build upon two key instructional elements in Amplify Science and plan for ways to use these supports to engage diverse learners in your next lesson.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Practice: Strengthen Focus: Analyzing student work (grades K–8)

Virtual, 1 hour

Engage with a protocol to analyze real student work and plan for instructional next steps in Amplify Science. (You are required to bring student formative assessment samples to this session.)

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Practice: Strengthen Focus: Supporting diverse learners: Multimodal learning and multiple at-bats (grades K–8)

Virtual, 3 hours

Learn strategies to develop an understanding of how Amplify Science’s multimodal approach supports diverse learners.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Practice: Strengthen Focus: Grading with Amplify Science (grades K–8)

Virtual, 1 hour

Develop an understanding of how to use assessment resources in Amplify Science to grade students three dimensionally and use practices that align with district/school guidelines.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Practice: Strengthen Focus: Enhancing the digital experience (grades K–5)

Virtual, 1 hour

Learn how to go further with Amplify Science digital experience tools to enhance teaching and learning.

Audience: Teachers, instructional staff grades K–5 (maximum 30 participants)

Practice: Strengthen Focus: Planning with the Coherence Flowchart (grades K–8)

Virtual, 1 hour

Practice using the Coherence Flowchart resource to plan an upcoming Amplify Science unit.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Get in touch with a PD expert

We’re here to provide answers and guidance as you explore your PD journey. Fill out the form to connect with us and discover how Amplify PD can enhance your educational journey.

Welcome, Indiana Department of Education!

Amplify CKLA 3rd Edition builds on the principles and instruction of previous editions to provide better-than-ever support for teaching and learning. The focus continues on delivering evidence-based instruction across a system of multi-tiered supports aligned with the Science of Reading and Writing.

We’re excited to share this site, where you’ll find a range of materials and literacy tools including Reviewer Resources and Teaching Materials (Teacher Guides, Activity Books, and Student Readers) organized by grade and unit.

We welcome your thoughts and questions!

An astronaut floats in space near the Moon, with a speech bubble displaying

Reviewer resources

Overview and program resources:

Alignment and scope and sequence:

Curriculum maps by grade:

Kindergarten

Explore all available resources for Kindergarten, organized by strand and unit.

Knowledge Strand

Unit 1: Star Light, Star Bright: Nursery Rhymes and Fables

Unit 2: See, Hear, Smell, Taste, Touch: The Five Senses

Unit 3: Underdogs and Heroes: Stories

Unit 4: See How They Grow: Plants

Unit 5: Moo, Cluck, Oink: Farms

Unit 6: Deep Roots: Introduction to Native American Cultures

Unit 7: All Around the World: Geography

Unit 8 (Choice): Royal Tales: Monarchs

Unit 8 (Choice): National Icons: Presidents and American Symbols

Unit 9 (Choice): Our Planet: Taking Care of the Earth

Unit 9 (Choice): Rain and Rainbows: Seasons and Weather

Unit 10: Shaped by Nature: Art and the World Around Us

Skills Strand

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Unit 6

Unit 7

Unit 8

Unit 9

Unit 10

Ancillary Components

Grade 1

Explore all available resources for Grade 1, organized by strand and unit.

Knowledge Strand

Unit 1: The Moral of the Story: Fables and Tales

Unit 2: From Nose to Toes: How Your Body Works

Unit 3: Common Threads: Different Lands, Similar Stories

Unit 4: Reach for the Stars: Astronomy

Unit 5: Charting the World: Geography

Unit 6: A World of Homes: Animals and Habitats

Unit 7: A New Nation: American Independence

Unit 8 (Choice): Once Upon a Time: Fairy Tales

Unit 8 (Choice): Our Planet: The History of the Earth

Unit 9 (Choice): From Babylon to the Nile: Early World Civilizations

Unit 9 (Choice): Early Americas: Maya, Aztec, and Inca

Unit 10: Adventure Stories: Tales from the Edge

Skills Strand

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Unit 6

Unit 7

Ancillary Components

Grade 2

Explore all available resources for Grade 2, organized by strand and unit.

Knowledge Strand

Unit 1: Fortunes and Feats: Fairy Tales and Tall Tales

Unit 2: The Birthplace of Democracy: Ancient Greece

Unit 3: Legends and Heroes: Greek Myths

Unit 4: Our Planet: Cycles in Nature

Unit 5: Butterflies, Bees, and Beetles: Insects

Unit 6: A House Divided: The American Civil War

Unit 7: Sounds and Stanzas: Poetry

Unit 8 (Choice): Journeys to America: Immigration

Unit 8 (Choice): Making a Difference: Creating Change

Unit 9 (Choice): Building Blocks: All About Nutrition

Unit 9 (Choice): Early Asian Civilizations: India and China

Unit 10: Taking Flight: The Age of Aviation

Skills Strand

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Unit 6

Ancillary Components

   

Grade 3

Explore all available resources for Grade 3, organized by unit.

Core Units

Explore all available resources for Grade 3, organized by unit.

Unit 1: Timeless Tales: Classic Stories

Unit 2: Fur, Fins, and Feathers: Animal Classification

Unit 3: Rhythm and Rhyme: Poetry

Unit 4: Rise and Fall: Ancient Rome

Unit 5: Our Solar System and Beyond: Astronomy

Unit 6: Regions and Cultures: Native Americans

Unit 7 (Choice): Novel Study: Charlotte’s Web

Unit 7 (Choice): Novel Study: Stella Díaz Has Something to Say

Unit 8 (Choice): Systems and Senses: The Human Body

Unit 8 (Choice): From Glow to Echo: Light and Sound

Unit 9: From Blues to Bebop: All That Jazz

Ancillary Components

Supplemental Skills Units

Grade 3 Skills resources are included in core classroom kits, although the instruction isn’t required for Grade 3 standards coverage.

Unit 1

Unit 2

Unit 3

Unit 4

   

Grade 4

Explore all available resources for Grade 4, organized by unit.

Unit 1: My Story, My Voice: Personal Narratives

Unit 2: Knights and Castles: Europe’s Middle Ages

Unit 3: Meaning and Metaphor: Poetry

Unit 4: Eureka! Student Inventor

Unit 5: Our Planet: Geology

Unit 6: Road to Independence: The American Revolution

Unit 7 (Choice): Novel Study: From the Mixed-Up Files of Mrs. Basil E. Frankweiler

Unit 7 (Choice): Novel Study: The Season of Styx Malone

Unit 8 (Choice): Crafting Stories: A World of Tales

Unit 8 (Choice): Adventure on the High Seas: Treasure Island

Unit 9: Inspiration and Ingenuity: American Innovation

Ancillary Components

Grade 5

Explore all available resources for Grade 5, organized by unit.

Unit 1: In My Own Words: Personal Narratives

Unit 2: Early Americas: Maya, Aztec, and Inca

Unit 3: Visions in Verse: Poetry

Unit 4: A Knight’s Tale: Don Quixote

Unit 5: The Deep Blue World: Oceans

Unit 6: Cultures and Histories: Native Americans

Unit 7 (Choice): Novel Study: The Phantom Tollbooth

Unit 7 (Choice): Novel Study: The Science of Breakable Things

Unit 8 (Choice): Arts and Culture: The Renaissance

Unit 8 (Choice): Through the Forest: A Midsummer Night’s Dream

Unit 9: Building Up the World: Global Architecture

Ancillary Components

Digital platform

In the 2025-26 school year, Amplify CKLA’s all-in-one platform will offer essential tools that streamline instruction for teachers and engage students with meaningful content. Teachers can plan and deliver lessons efficiently, while students can access assignments, assessments, and fun practice games.

A digital interface showing an assessment report on a monitor and a multiple-choice question on a tablet screen. Both screens display educational content from Amplify's assessment tools, providing personalized learning for multilingual learners.

Presentation Screens
Deliver interactive lessons with ready-made, customizable slides for every lesson.

Auto-scored digital assessments
Assess vocabulary, comprehension, and knowledge development at the end of each K–2 Knowledge and 3–5 Integrated Unit.

Standards-based reports
Identify strengths and growth areas for individuals, small groups, or your entire class. Interactive dashboards offer detailed results from assessments and activities.

Skill-building practice games
Engage students with interactive games that reinforce concepts and make learning fun. Powered by Boost Reading™, these games align with lessons and provide real-time feedback.

eReader
Students access texts, take notes, and use audio-enabled eReaders to enhance their reading experience.

Sound Library
Students watch articulation videos and listen to songs for each sound to support phonological awareness.

Vocab App
Helps students in Grades 3-5 practice Amplify CKLA Tier 2 vocabulary words with fun, interactive games.

Intervention Toolkit
Offers user-friendly resources designed to aid educators in identifying and addressing deficiencies in students’ foundation skills.

Program support resources

Additional program resource documents:

Welcome to the Amplify CKLA 3rd Edition program review site!

To view this protected page, enter the password below:



Welcome to Grade K

BACK TO MAIN TK–5 PAGE

Amplify Science California is so effective you can cover 100% of the NGSS in half the time of other programs.

You can breathe a sigh of relief knowing all you need is:

  • 66 days per year
  • 2 lessons per week
  • 45 minutes per lesson
Four images of children engaged in science experiments: growing plants, using liquids, a girl in safety goggles mixing substances, and playing with a physics kit.

What students learn

When you’re ready:

  • Find a summary of each unit below including each unit’s student role and anchor phenomenon.
  • Click on the orange “See how the unit works” link to download a helpful Unit Guide. These guides make great companions to busy reviewers looking for a big-picture understanding of how each unit works.
An illustration from Needs of Plants and Animals unit

Unit 1

Needs of Plants and Animals

Student role: Scientists

Phenomenon: There are no monarch caterpillars in the Mariposa Grove community garden ever since vegetables were planted.

See how this unit works

An illustration from the Pushes and Pulls unit

Unit 2

Pushes and Pulls

Student role: Pinball engineers

Phenomenon: Pinball machines allow people to control the direction and strength of forces on a ball.

See how this unit works

An illustration from the Sunlight and Weather unit

Unit 3

Sunlight and Weather

Student role: Weather scientists

Phenomenon: Students at one school are too cold during morning recess, while students at another are too hot during afternoon recess.

See how this unit works

How teachers teach

When you’re ready:

  • Scroll down and take a closer look at your classroom resources.
  • Click on the orange links below each component to see grade-specific samples.
Most adopted curriculum for the NGSS California

Classroom Slides

These customizable PowerPoints are available for every lesson of the program and make delivering instruction a snap with visual prompts, colorful activity instructions, investigation set-up videos and animations, and suggested teacher talk in the notes section of each slide.

Video introduction to Classroom Slides

Sample Classroom Slides

Sample Classroom Slides (Spanish)

Teacher’s guide and digital screen displaying the needs of plants and animals: milkweed monarchs educational material with illustrations of insects.

Teacher’s Reference Guide

Available digitally and in print, our unit-specific reference guides are chock full of helpful resources, including scientific background knowledge, planning information and resources, color-coded 3-D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.

Login to platform below to access

Amplify Science California supports 3-D learning with more materials than any other program.

Materials Kits

Our kits include enough non-consumable materials to support a class of 36 students and enough consumable items to support 72 students. In other words, each kit can last two years! Plus, our unit-specific kits mean you just grab the tub you need and then put it all back with ease.

List of investigations by unit

List of materials by unit

Illustrations of two children’s book covers displayed on a tablet, titled Un día ocupado en Villa Empuja and A Busy Day in Pushville, showing a street scene.

Big Books and Student Books

Students are never asked to read alone. Rather, books are read to, with, and by students with ample scaffolding and support provided by the teacher. Big Books are read aloud or together with the class to introduce ideas. Student Books allow for small-group reading and reading in pairs.

Sample Student Book (Spanish)

List of Student Books by unit

Sample Student Book

Two amplify science textbooks, one in spanish and one in english, displaying pinball machine diagrams on their covers.

Consumable Notebooks

Available for every unit, our Student Investigation Notebooks contain instructions for activities and space for students to record data and observations, reflect on ideas from texts and investigations, and construct explanations and arguments.

Sample Student Investigation Notebook

Sample Student Investigation Notebook (Spanish)

Amplify Science California and Mystery Science work together to help you transition to the California NGSS.

Mystery Science

Our exclusive partnership with Mystery Science means you get our NGSS core curriculum plus two years of free access to Mystery Doug and his extensive library of captivating videos that deepen students’ understanding of each unit’s phenomenon.

Mystery Science lesson alignment

Line drawing of a person using a laptop, with headphones and a line illustration of a rocket launching above their head, symbolizing creativity or inspiration in Boost Reading.

Coming Soon

Unlike other publishers, we don’t make you wait until your next adoption to get the latest and greatest from Amplify. We’re always launching new and exciting features. What’s more, we’ll push them out to you even after you adopt us!

See what’s coming for 2020-2021

Welcome to Grade 4

BACK TO MAIN TK–5 PAGE

Amplify Science California is so effective you can cover 100% of the NGSS in half the time of other programs.

You can breathe a sigh of relief knowing all you need is:

  • 88 days per year
  • 2-3 lessons per week
  • 45 minutes per lesson
Students engage in various science experiments, including testing conductivity with a lamp, playing with slime, examining objects, and using sand trays.

What students learn

When you’re ready:

  • Find a summary of each unit below including each unit’s student role and anchor phenomenon.
  • Click on the orange “See how the unit works” link to download a helpful Unit Guide. These guides make great companions to busy reviewers looking for a big-picture understanding of how each unit works.
Illustration of a nighttime cityscape with illuminated windows and streetlights, a visible moon, and stars in the sky. A solitary figure stands out in one of the windows.

Unit 1

Energy Conversions


Student role: System engineers


Phenomenon: The fictional town of Ergstown experiences frequent blackouts. Their electrical system seems to be failing.

See how this unit works

A gecko prepares to catch a cricket under a streetlight at night. The yellow arrows illustrate the lamplight hitting the cricket and reflecting in the gecko's eyes.

Unit 2

Vision and Light


Student role: Conservation biologists

Phenomenon: The population of Tokay geckos in a rain forest in the Philippines has decreased since the installation of new highway lights.

See how this unit works

Illustration of a rocky coastline with angular cliffs in reddish tones on the left and a body of blue water below.

Unit 3

Earth’s Features


Student role: Geologists


Phenomenon: A mysterious fossil is discovered in a canyon within the fictional Desert Rocks National Park.

See how this unit works

Two dolphins swim underwater in a blue-tinged environment, facing each other, and one appears to open its mouth slightly.

Unit 4

Waves, Energy, and Information

Student role: Marine scientists


Phenomenon: Mother dolphins in the fictional Blue Bay National Park communicate with their calves despite the distance between them.

See how this unit works

How teachers teach

When you’re ready:

  • Scroll down and take a closer look at your classroom resources.
  • Click on the orange links below each component to see grade-specific samples.
A laptop displays a PowerPoint presentation in presenter view, with slides about observing objects in plastic containers and related sensory instructions.

Classroom Slides

These customizable PowerPoints are available for every lesson of the program and make delivering instruction a snap with visual prompts, colorful activity instructions, investigation set-up videos and animations, and suggested teacher talk in the notes section of each slide.

Video introduction to Classroom Slides

Sample Classroom Slides

Sample Classroom Slides (Spanish)

A computer screen displays an educational website titled "Earth's Features" with chapters and illustrations of canyons; a printed teacher’s guide is shown beside it.

Teacher’s Reference Guide

Available digitally and in print, our unit-specific reference guides are chock full of helpful resources, including scientific background knowledge, planning information and resources, color-coded 3-D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.

Login to platform below to access

A variety of craft materials arranged on a white surface, including cardboard sheets, plastic cups, yarn, binder clips, pink balls, yellow pom-poms, and other assorted supplies.

Materials Kits

Our kits include enough non-consumable materials to support a class of 36 students and enough consumable items to support 72 students. In other words, each kit can last two years! Plus, our unit-specific kits mean you just grab the tub you need and then put it all back with ease.

List of investigations by unit

List of materials by unit

Two book covers titled "¡Apagón!" and "BLACKOUT!" show a dark city street with headlights from a car illuminating the scene at night.

Student Books

Our award-winning Student Books include content-rich nonfiction and informational texts designed to introduce concepts and also deepen understanding. Books are read to, with, and by students with ample scaffolding and support provided by the teacher in whole-class, small-groups, and student pairs.

List of Student Books by unit

Systems

Energy Past and Present

Sunlight and Showers

Blackout!

It’s All Energy

A laptop displays a diagram showing the upper river, floodplain, and river delta with labeled cross-sections above a landscape map of a river flowing to the sea.

Simulations and Practice Tools

Our digital Simulations and Practice Tools are powerful resources for exploration and data collection, and allow students the ability to explore scientific concepts that might otherwise be invisible or impossible to see with the naked eye.

Video overview of digital tools

Device calendars by unit

List of digital tools by unit

Two science workbooks, one in Spanish and one in English, titled "Energy Conversions: Blackout in Ergstown" with white covers and orange labels at the bottom.

Consumable Notebooks

Available for every unit, our Student Investigation Notebooks contain instructions for activities and space for students to record data and observations, reflect on ideas from texts and investigations, and construct explanations and arguments.

Sample Student Investigation Notebook

Sample Student Investigation Notebook (Spanish)

A man wearing glasses and a maroon shirt smiles at the camera on a laptop screen with the words "MYSTERY doug" and a speech bubble saying "Doug.

Mystery Science

Our exclusive partnership with Mystery Science means you get our NGSS core curriculum plus two years of free access to Mystery Doug and his extensive library of captivating videos that deepen students’ understanding of each unit’s phenomenon.

Mystery Science lesson alignment

A person with headphones works on a laptop; a line from their head transforms into a rocket, symbolizing imagination, innovation, and the foundational skills essential for multilingual learners.


Coming Soon

Unlike other publishers, we don’t make you wait until your next adoption to get the latest and greatest from Amplify. We’re always launching new and exciting features. What’s more, we’ll push them out to you even after you adopt us!

See what’s coming for 2020-2021

Welcome to Grade 1

BACK TO MAIN TK–5 PAGE

Amplify Science California is so effective you can cover 100% of the NGSS in half the time of other programs.

You can breathe a sigh of relief knowing all you need is:

  • 66 days per year
  • 2 lessons per week
  • 45 minutes per lesson
A collage shows children demonstrating Earth's rotation with a globe, an Earth-sun diagram, a hand holding a spiked ball, and a light experiment with a lamp, paper, and a screen.

What students learn

When you’re ready:

  • Find a summary of each unit below including each unit’s student role and anchor phenomenon.
  • Click on the orange “See how the unit works” link to download a helpful Unit Guide. These guides make great companions to busy reviewers looking for a big-picture understanding of how each unit works.
Illustration of sea turtles swimming among seaweed in the ocean, with a large shark in the background.

Unit 1

Animal and Plant Defenses

Student role: Marine scientists

Phenomenon: Spruce the Sea Turtle will soon be released back into the ocean, where she will survive despite predators.

See how this unit works

Two hands holding a paper with a drawing of a pyramid and a tree, illuminated by a flashlight, projecting another shadow of the image on the wall.

Unit 2

Light and Sound

Student role: Light and sound engineers

Phenomenon: A puppet show company uses light and sound to depict realistic scenes in puppet shows.

See how this unit works

Illustration showing an urban landscape divided into night on the left with a moon and stars, and day on the right with a sun, clouds, and an airplane.

Unit 3

Spinning Earth

Student role: Sky scientists

Phenomenon: The sky looks different to Sai and his grandma when they talk on the phone at night.

See how this unit works

How teachers teach

When you’re ready:

  • Scroll down and take a closer look at your classroom resources.
  • Click on the orange links below each component to see grade-specific samples.
A laptop displays a PowerPoint presentation in presenter view, with slides about observing objects in plastic containers and related sensory instructions.
Classroom Slides

These customizable PowerPoints are available for every lesson of the program and make delivering instruction a snap with visual prompts, colorful activity instructions, investigation set-up videos and animations, and suggested teacher talk in the notes section of each slide.

A spiral-bound teacher’s guide and a laptop displaying an online curriculum titled “Matter and Energy in Ecosystems: Biodome Collapse” from Amplify Science.
Teacher’s Reference Guide

Available digitally and in print, our unit-specific reference guides are chock full of helpful resources, including scientific background knowledge, planning information and resources, color-coded 3-D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.

Login to platform below to access

Assorted party supplies including tissue paper, plastic cups, poker chips, metal rings, black brushes, toothpicks, pink candy, and a black napkin holder arranged on a white surface.
Materials Kits

Our kits include enough non-consumable materials to support a class of 36 students and enough consumable items to support 72 students. In other words, each kit can last two years! Plus, our unit-specific kits mean you just grab the tub you need and then put it all back with ease.

Two children stand in a jungle with plants, rocks, and frogs on the covers of two science books titled "Modelos de ranas" and "Frog Models.
Big Books and Student Books

Students are never asked to read alone. Rather, books are read to, with, and by students with ample scaffolding and support provided by the teacher. Big Books are read aloud or together with the class to introduce ideas. Student Books allow for small-group reading and reading in pairs.

Two science workbooks, one in Spanish and one in English, titled "Animal and Plant Defenses," featuring illustrated animals with spikes and shells on the covers.
Consumable Notebooks

Available for every unit, our Student Investigation Notebooks contain instructions for activities and space for students to record data and observations, reflect on ideas from texts and investigations, and construct explanations and arguments.

A man wearing glasses and a maroon shirt smiles at the camera on a laptop screen with the words "MYSTERY doug" and a speech bubble saying "Doug.
Mystery Science

Our exclusive partnership with Mystery Science means you get our NGSS core curriculum plus two years of free access to Mystery Doug and his extensive library of captivating videos that deepen students’ understanding of each unit’s phenomenon.

Mystery Science lesson alignment

A person with headphones works on a laptop; a line from their head transforms into a rocket, symbolizing imagination, innovation, and the foundational skills essential for multilingual learners.
Coming Soon

Unlike other publishers, we don’t make you wait until your next adoption to get the latest and greatest from Amplify. We’re always launching new and exciting features. What’s more, we’ll push them out to you even after you adopt us!

See what’s coming for 2020-2021

Grade 6

Unit 1: Area and Surface Area

Illustrative MathematicsDesmos Math 6–A1
Topic A: Reasoning to Find Area 
Lesson 1: Tiling the PlaneUnit 1
Lesson 1: Shapes on a Plane [Free lesson]
Lesson 2: Finding Area by Decomposing and Rearranging
Lesson 3: Reasoning to Find Area
Unit 1
Lesson 2: Letters
Topic 2: Parallelograms
Lesson 4: Parallelograms
Lesson 5: Bases and Heights of Parallelograms
Lesson 6: Area of Parallelograms
Unit 1
Lesson 3: Exploring Parallelograms (Print available) [Free lesson]
Lesson 4: Off the Grid
Topic 3: Triangles
Lesson 7: From Parallelograms to TrianglesUnit 1
Lesson 3: Exploring Parallelograms (Print available) [Free lesson]
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Lesson 8: Area of TrianglesUnit 1
Lesson 5: Exploring Triangles (Print available)
Lesson 9: Formula for the Area of a Triangle
Lesson 10: Bases and Heights of Triangles
Unit 1
Lesson 4: Off the Grid
Lesson 6: Triangles and Parallelograms
Topic 4: Polygons
Lesson 11: PolygonsUnit 1
Lesson 2: Letters
Lesson 8: Pile of Polygons
Practice Day 1 (Print available)
Unit 7
Lesson 11: Polygon Maker
Topic 5: Surface Area
Lesson 12: What is Surface Area?Unit 1
Lesson 9: Renata´s Stickers [Free lesson]
Lesson 13: PolyhedraUnit 1Lesson 10: Plenty of Polyhedra
Lesson 14: Nets and Surface AreaUnit 1
Lesson 10: Plenty of Polyhedra
Lesson 11: Nothing But Nets (Print available)
Lesson 13: Take It To Go
Lesson 15: More Nets, More Surface AreaUnit 1
Lesson 10: Plenty of Polyhedra
Lesson 11: Nothing But Nets (Print available)
Lesson 12: Face Value
Lesson 13: Take It To Go (Print available)
Practice Day 2 (Print available)
Lesson 16: Distinguishing Between Surface Area and Volume
Topic 6: Squares and Cubes 
Lesson 17: Squares and CubesUnit 6
Lesson 12: Squares and Cubes
Lesson 18: Surface Area of a Cube 
Topic 7: Let’s Put It to Work 
Lesson 19: Designing a TentUnit 1
Lesson 13: Take It To Go (Print available)

Unit 2: Introducing Ratios

Topic 1: Introducing Ratios
Lesson 1: Introducing Ratios and Ratio LanguageUnit 2Lesson 1: Pizza Maker [Free lesson]Lesson 2: Ratio Rounds (Print available)
Lesson 2: Representing Ratios with DiagramsUnit 2Lesson 1: Pizza Maker [Free lesson]Lesson 2: Ratio Rounds (Print available)Lesson 3: Rice Ratios (Print available)
Topic 2: Equivalent Ratios
Lesson 3: RecipesUnit 2Lesson 1: Pizza Maker [Free lesson]Lesson 3: Rice Ratios (Print available)
Lesson 4: Color MixturesUnit 2Lesson 7: Mixing Paint, Part 1Lesson 12: Mixing paint, Part 2
Lesson 5: Defining Equivalent RatiosUnit 2Lesson 3: Rice Ratios (Print available)Lesson 4: Fruit Lab [Free lesson]Lesson 11: Community LifePractice Day 1 (Print available)
Topic 3: Representing Equivalent ratios
Lesson 6: Introducing Double Number Line DiagramsUnit 2Lesson 5: Balancing Act
Lesson 7: Creating Double Line DiagramsUnit 2Lesson 5: Balancing ActLesson 6: Product prices (Print available)
Lesson 8: How Much for One?Unit 2Lesson 6: Product prices (Print available)
Lesson 9: Constant SpeedUnit 2Lesson 8: World Records (Print available)
Lesson 10: Comparing Situations by Examining RatiosUnit 2Lesson 7: Mixing Paint, Part 1 
Topic 4: Solving Ratio and Rate Problems
Lesson 11: Representing Ratios with TablesUnit 2Lesson 9: Disaster Preparation [Free lesson]
Lesson 12: Navigating a Table of Equivalent Ratios
Lesson 13: Tables and Double Line Diagrams
Unit 2Lesson 6: Product prices (Print available)Lesson 7: Mixing Paint, Part 1
Lesson 14: Solving Equivalent Ratio ProblemsUnit 2Lesson 6: Product prices (Print available)Lesson 7: Mixing Paint, Part 1Lesson 10: BalloonsLesson 11: Community Life (Print available)
Topic 5: Part-Part-Whole Ratios
Lesson 15: Part-Part-Whole RatiosUnit 2Lesson 12: Mixing paint, Part 2Lesson 13: City Planning
Lesson 16: Solving More Ratio ProblemsUnit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available)
Topic 6: Let’s Put It to Work 
Lesson 17: A Fermi ProblemUnit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available)Practice Day 2 (Print available)

Unit 3: Rates and Percentages

Topic 1: Units of Measurement 
Lesson 1: The Burj KhalifaUnit 3
Lesson 4: Model Trains
Topic 2: Unit Conversion
Lesson 2: Anchoring Units of MeasurementUnit 3
Lesson 1: Many Measurements (Print available) [Free lesson]
Lesson 3: Measuring with Different-Sized Units
Lesson 4: Converting Units
Unit 3
Lesson 2: Counting Classrooms
Lesson 3: Pen Pals
Topic 3: Rates
Lesson 5: Comparing Speeds and PricesUnit 2
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 6: Welcome to the Robot Factory
Lesson 6: Interpreting Rates
Lesson 7: Equivalent Ratios Have the Same Unit Rates
Unit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]
Lesson 8: More About Constant SpeedUnit 2
Lesson 8: World Records (Print available) 

Unit 3
Lesson 4: Model Trains
Lesson 9: Solving Rate ProblemsUnit 3
Lesson 7: More Soft Serve
Topic 4: Percentages
Lesson 10: What Are percentagesUnit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 9: Bicycle Goals
Lesson 11: Percentages and Double Number LinesUnit 3
Lesson 9: Bicycle Goals
Lesson 10: What’s Missing? (Print available)
Lesson 12: Percentages and Tape DiagramsUnit 3
Lesson 10: What’s Missing? (Print available)
Lesson 13: Benchmark percentagesUnit 3
Lesson 8: Lucky Duckies [Free lesson]
Lesson 14: Solving Percentage Problems
Lesson 15: Finding This Percent of That
Lesson 16: Finding the Percentage
Unit 3
Lesson 10: What’s Missing? (Print available)
Lesson 11: Cost Breakdown
Lesson 12: More Bicycle Goals
Lesson 13: A Country as a Village
Topic 5: Let’s Put It to Work 
Lesson 17: Painting a RoomUnit 3
Lesson 13: A Country as a Village
Lesson 7: Equivalent Ratios Have the Same Unit RatesUnit 3
Lesson 4: Model Trains
Lesson 5: Soft Serve [Free lesson]

Unit 4: Dividing Fractions

Topic 1: Making Sense of Division 
Lesson 1: Size of Divisor and Size of Quotient
Lesson 2: Meanings of Division
Unit 4Lesson 1: Cookie Cutter
Lesson 3: Interpreting Division SituationsUnit 4Lesson 2: Making Connections (Print available)
Topic 2: Meanings of Fraction Division
Lesson 4: How Many Groups (Part 1)Unit 4Lesson 3: Flour Planner [Free lesson]Lesson 4: Flower Planters 
Lesson 5: How Many Groups (Part 2)Unit 4Lesson 5: Garden Bricks (Print available)
Lesson 6: Using Diagrams to Find the Number of GroupsUnit 4Lesson 5: Garden Bricks (Print available)Lesson 6: Fill the Gap [Free lesson]
Lesson 7: What Fraction of a Group?
Lesson 8: How Much in Each Group? (Part 1)
Lesson 9: How Much in Each Group? (Part 2)
Unit 4Lesson 8: Potting Soil
Topic 3: Algorithm for Fraction Division
Lesson 10: Dividing by Unit and Non-Unit FractionsUnit 4Lesson 7: Break It DownLesson 8: Potting SoilLesson 9: Division Challenges 
Lesson 11: Using an Algorithm to Divide FractionsUnit 4Lesson 9: Division ChallengesPractice Day
Topic 4: Fractions in Lengths, Areas, and Volumes
Lesson 12: Fractional LengthsUnit 4Lesson 11: Classroom Comparisons
Lesson 13: Rectangles with Fractional Side LengthsUnit 4Lesson 12: Puzzling Areas (Print available) [Free lesson]
Lesson 14: Fractional Lengths in Triangles and Prisms
Lesson 15: Volume of PrismsUnit 4Lesson 13: Volume Challenges
Topic 5: Let’s Put It to Work
Lesson 16: Solving Problems with FractionsUnit 4Lesson 10: Swap Meet (Print available)
Lesson 17: Fitting Boxes into BoxesUnit 4Lesson 14: Planter Planner (Print available)

Unit 5: Arithmetic in Base Ten

Topic 1: Warming Up to Decimals 
Lesson 1: Using Decimals in a Shopping ContextUnit 5Lesson 1: Dishing Out Decimals (Print available) [Free lesson]
Topic 2: Adding and Subtracting Decimals
Lesson 2: Using Decimals to Represent Addition and SubtractionUnit 5Lesson 3: Fruit by the PoundLesson 4: Missing Digits
Lesson 3: Adding and Subtracting Decimals with Few Non-Zero DigitsUnit 5Lesson 4: Missing Digits
Lesson 4: Adding and Subtracting Decimals with Many Non-Zero Digits 
Topic 3: Multiplying Decimals
Lesson 5: Decimal Points in ProductsUnit 5Lesson 5: Decimal Multiplication
Lesson 6: Methods for Multiplying DecimalsUnit 5Lesson 5: Decimal MultiplicationLesson 6: Multiplying with AreasLesson 7: Multiplication methods (Print available)
Lesson 7: Using Diagrams to Represent MultiplicationUnit 5Lesson 5: Decimal MultiplicationLesson 6: Multiplying with Areas
Lesson 8: Calculating Products of DecimalsUnit 5Lesson 6: Multiplying with Areas
Topic 4: Dividing Decimals
Lesson 9: Using the Partial Quotients MethodUnit 5Lesson 8: Division Diagrams
Lesson 10: Using Long DivisionUnit 5Lesson 8: Division DiagramsLesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available)
Lesson 11: Dividing Numbers That Result in Decimals
Lesson 12: Dividing Decimals by Whole Numbers
Lesson 13: Dividing Decimals by Decimals
Unit 5Lesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available)
Topic 5: Let’s Put It to Work
Lesson 14: Using Operations on Decimals to Solve ProblemsUnit 5Lesson 11: Movie Time [Free lesson]
Lesson 15: Making and Measuring Boxes
Lesson 12: Dividing Decimals by Whole Numbers 
Lesson 13: Dividing Decimals by DecimalsUnit 5Lesson 9: Long Division Launch (Print available)Lesson 10: Return of the Long Division (Print available)

Unit 6: Expressions and Equations

Lesson 1: Tape Diagrams and Equations
Lesson 2: Truth and Equations
Unit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations (Print available)
Lesson 3: Staying in BalanceUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations (Print available)Lesson 3: Hanging Around
Lesson 4: Practice Solving Equations and Representing Situations with EquationsUnit 6Lesson 3: Hanging AroundLesson 4: Hanging It UpLesson 5: Swap and Solve (Print available)
Lesson 5: A New Way to Interpret a and bUnit 6Lesson 4: Hanging It UpLesson 5: Swap and Solve (Print available)
Topic 2: Equal and Equivalent
Lesson 6: Write Expressions Where Letters Stand for NumbersUnit 6Lesson 6: Vari-applesLesson 7: Border Tiles
Lesson 7: Revisit PercentagesUnit 3Lesson 10: What’s Missing?Lesson 11: Cost BreakdownLesson 12: More Bicycle Goals
Lesson 8: Equal and EquivalentUnit 6Lesson 1: Weight for It [Free lesson]Lesson 2: Five Equations (Print available)Lesson 3: Hanging AroundLesson 6: Vari-apples
Topic 9: The Distributive Property, Part 1Unit 6Lesson 8: Products and Sums [Free lesson]
Lesson 10: The Distributive Property, Part 2
Lesson 11: The Distributive Property, Part 3
Unit 6Lesson 8: Products and Sums [Free lesson]Lesson 9: Products, Sums, and Differences (Print available)
Topic 3: Expressions with Exponents
Lesson 12: Meaning of ExponentsUnit 6Lesson 10: PowersLesson 11: Exponent Expressions (Print available)
Lesson 13: Expressions with Exponents
Lesson 14: Evaluating Expressions with Exponents
Lesson 15: Equivalent Exponential Expressions
Unit 6Lesson 11: Exponent Expressions (Print available)Lesson 12: Squares and Cubes
Topic 4: Relationships Between Quantities 
Lesson 16: Two Related Quantities, Part 1
Lesson 17: Two Related Quantities, Part 2
Lesson 18: More Relationships
Unit 6Lesson 13: Turtles All the WayLesson 14: Representing RelationshipsLesson 15: Connecting Representations (Print available)
Topic 5: Let’s Put It to Work
Lesson 19: Tables, Equations, and Graphs, Oh My!Unit 6Lesson 16: Subway fares (Print available) [Free lesson]

Unit 7: Rational Numbers

Topic 1: Positive and Negative Numbers
Lesson 1: Positive and Negative NumbersUnit 7Lesson 1: Can You Dig In [Free lesson]Lesson 2: Digging Deeper
Lesson 2: Points on the Number LineUnit 7Lesson 2: Digging Deeper
Lesson 3: Comparing Positive and Negative Numbers
Lesson 4: Ordering Rational Numbers
Unit 7Lesson 3: Order in the Class (Print available) [Free lesson]
Lesson 5: Using Negative Numbers to make Sense of ContextsUnit 7 Lesson 4: Sub-Zero
Lesson 6: Absolute Value of Numbers
Lesson 7: Comparing Numbers and Distance from Zero
Unit 7Lesson 5: Distance on the Number Line
Topic 2: Inequalities
Lesson 8: Writing and Graphing InequalitiesUnit 7Lesson 13: Popcorn Possibilities
Lesson 9: Solutions of Inequalities
Lesson 10: Interpreting Inequalities
Unit 7Lesson 6: Tunnel Travel [Free lesson]Lesson 7: Comparing WeightsLesson 8: Shira´s Solutions
Topic 3: The Coordinate Plane
Lesson 11: Points on the Coordinate Plane
Lesson 12: Constructing the Coordinate Plane
Unit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate Plane
Lesson 13: Interpreting Points on a Coordinate PlaneUnit 7Lesson 9: Sand Dollar SearchLesson 10: The A-maze-ing Coordinate PlaneLesson 11: Polygon Maker
Lesson 14: Distances on a Coordinate PlaneUnit 7Lesson 11: Polygon MakerLesson 12: Graph Telephone (Print available)
Lesson 15: Shapes on the Coordinate PlaneUnit 1Lesson 1: Shapes on a Plane [Free lesson]Lesson 2: LettersLesson 5: Exploring Triangles (Print available)Lesson 6: Triangles and ParallelogramsUnit 7Lesson 3: Exploring Parallelograms (Print available)Lesson 11: Polygon MakerLesson 12: Graph Telephone (Print available)
Topic 4: Common Factors and Common Multiples
Lesson 16: Common FactorsUnit 5Lesson 15: Common factors
Lesson 17: Common MultiplesUnit 5Lesson 14: Common Multiples
Lesson 18: Using Common Multiples and Common FactorsUnit 5Lesson 14: Common MultiplesLesson 15: Common factorsPractice Day 2 (Print available)
Topic 5: Let’s Put It to Work
Lesson 19: Drawing on the Coordinate PlaneUnit 7Lesson 11: Polygon MakerLesson 12: Graph Telephone (Print available)

Unit 8: Data Sets and Distributions

Topic 1: Data, Variability, and Statistical Questions
Lesson 1: Got Data?
Lesson 2: Statistical Questions
Unit 8Lesson 1: Screen TimeLesson 2: Dot Plots
Topic 2: Dot Plots and Distributions
Lesson 3: Representing Data Graphically
Lesson 4: Dot Plots
Lesson 5: Using Dot Plots to Answer Statistical Questions
Unit 8Lesson 2: Dot PlotsLesson 3: Minimum Wage (Print available) [Free lesson]Lesson 4: Lots More Dots
Lesson 6: Interpreting Histograms
Lesson 7: Using Histograms to Answer Statistical Questions
Lesson 8: Describing Distributions on Histograms
Unit 8Lesson 5: The Plot Thickens [Free lesson]Lesson 6: DIY Histograms (Print available)
Topic 3: Measures of Center and Variability
Lesson 9: Mean
Lesson 10: Finding and Interpreting the Mean as a Balance Point
Unit 8Lesson 7: Snack Time
Lesson 11: Variability and MADUnit 8Lesson 8: Pop It!
Lesson 12: Using Mean and MAD to Make ComparisonsUnit 8Lesson 9: Hoops
Topic 4: Median and IQR
Lesson 13: MedianUnit 8Lesson 11: Toy Cars [Free lesson]Lesson 12: In the News
Lesson 14: Comparing Mean and MedianUnit 8Lesson 12: In the News
Lesson 15: Quartiles and Interquartile RangeUnit 8Lesson 13: Pumpkin Patch
Lesson 16: Box PlotsUnit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)
Lesson 17: Using Box PlotsUnit 8Lesson 14: Car, Plane, Bus, or Train? (Print available)Lesson 15: Hollywood Part 2Lesson 16: Hollywood Part 3 (Print available)Practice Day 2 (Print available)
Topic 5: Let’s Put It to Work
Lesson 18: Using Data to Solve ProblemsUnit 8Lesson 16: Hollywood Part 3 (Print available)

Unit 9: Putting It All Together

Topic 1: Making Connections
Lesson 1: Fermi Problems
Lesson 2: In Our Class Were the World
Unit 3Lesson 13: A Country as a Village
Lesson 3: Rectangle MadnessUnit 5Lesson 14: Common MultiplesLesson 15: Common factors
Topic 2: Voting
Lesson 4: How Do We Choose?Unit 2Lesson 13: City PlanningLesson 14: Lunch Waste (Print available)
Lesson 5: More than Two ChoicesUnit 3Lesson 13: A Country as a Village
Lesson 6: Picking RepresentativesUnit 8Lesson 16: Hollywood Part 3 (Print available)

Grade 7

Unit 1: Scale Drawings

Illustrative MathematicsDesmos Math 6–A1
Topic 1: Scaled Copies 
Lesson 1: What are Scaled Copies?Unit 1Lesson 1: Scaling Machines [Free lesson]
Lesson 2: Corresponding Parts and Scale FactorsUnit 1Lesson 2: Scaling Robots Unit 3Lesson 1: Toothpicks
Lesson 3: Making Scaled Copies
Lesson 4: Scaled Relationship
Unit 1Lesson 3: Make It Scale Unit 4Lesson 3: Sticker Sizes
Lesson 5: The Size and the Scale FactorUnit 1Lesson 4: Scale Factor Challenges
Lesson 6: Scaling and AreaUnit 1Lesson 5: TilesPractice Day 1 (Print available)
Topic 2: Scale Drawings 
Lesson 7: Scale DrawingsUnit 1Lesson 6: Introducing ScaleLesson 7: Will It Fit? (Print available) [Free lesson]
Lesson 8: Scale Drawings and Maps 
Lesson 9: Creating Scale Drawings
Lesson 10: Changing Scales in Scale Drawings
Unit 1Lesson 8: Scaling StatesLesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available)
Lesson 11: Scales without Units 
Lesson 12: Units in Scale DrawingsUnit 1Lesson 8: Scaling StatesLesson 9: Scaling BuildingsLesson 10: Room Redesign (Print available)Practice Day 2 (Print available)
Topic 3: Let’s Put It to Work
Lesson 13: Draw It to ScaleUnit 1Lesson 10: Room Redesign (Print available)

Unit 2: Introducing Proportional Relationships

Topic 1: Representing Proportional Relationships with Tables
Lesson 1: One of These Things Is Not Like the OthersUnit 2Lesson 1: Paint [Free lesson] 
Lesson 2: Introducing Proportional Relationships with TablesUnit 2Lesson 2: Balloon FloatLesson 3: Sugary Drinks (Print available)Lesson 4: Robot Factory
Lesson 3: More About Constant of ProportionalityUnit 2Lesson 3: Sugary Drinks (Print available)Unit 4Lesson 3: Sticker Sizes
Topic 2: Representing Proportional Relationships with Equations 
Lesson 4: Proportional Relationships with EquationsUnit 2Lesson 4: Robot FactoryLesson 5: SnapshotsLesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of Equations
Lesson 5: Two Equations for Each Relationship
Lesson 6: Using Equations to Solve Problems
Unit 2Lesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of EquationsPractice Day
Topic 3: Comparing Proportional and Nonproportional Relationships 
Lesson 7: Comparing Relationships with TablesUnit 2Lesson 2: Balloon FloatLesson 3: Sugary Drinks (Print available)Lesson 4: Robot Factory
Lesson 8: Comparing Relationships with EquationsUnit 2Lesson 4: Robot FactoryLesson 5: SnapshotsLesson 6: Two and Two (Print available) [Free lesson]Lesson 7: All Kinds of EquationsLesson 11: Four RepresentationsLesson 12: Water Efficiency
Lesson 9: Solving Problems About Proportional RelationshipsUnit 2Lesson 12: Water Efficiency
Topic 4: Representing Proportional Relationships with Graphs
Lesson 10: Introducing Graphs of Proportional Relationships
Lesson 11: Interpreting Graphs of Proportional Relationships
Lesson 12: Using Graphs to Compare Relationships
Lesson 13: Two Graphs for Each Relationship
Unit 2Lesson 8: Dino Pops [Free lesson]Lesson 9: Gallon ChallengeLesson 10: Three TurtlesLesson 11: Four RepresentationsLesson 12: Water Efficiency
Topic 5: Let’s Put It to Work
Lesson 14: For RepresentationsUnit 2Lesson 11: Four Representations (Print available)
Lesson 15: Using Water EfficiencyUnit 2Lesson 12: Water Efficiency

Unit 3: Measuring Circles

Topic 1: Circumference of a Circle 
Lesson 1: How Well Can You Measure?Unit 3Lesson 1: Toothpicks
Lesson 2: Exploring Circles
Lesson 3: Exploring Circumference
Lesson 4: Applying Circumference
Unit 3Lesson 2: Is It a Circle?Lesson 3: Measuring Around [Free lesson]
Lesson 5: Circumference and Wheels 
Topic 2: Area of a Circle
Lesson 6: Estimating AreasUnit 3Lesson 5: Area Strategies
Lesson 7: Exploring the Area of a Circle
Lesson 8: Relating Area to Circumference
Unit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)Lesson 7: Why Pi?Lesson 8: Area Challenges [Free lesson]Lesson 9: Circle vs. SquarePractice Day 2 (Print available)
Lesson 9: Applying Area of CirclesUnit 3Lesson 6: Radius Squares (Print available)
Topic 3: Let’s Put It to Work
Lesson 10: Distinguishing Circumference and AreaUnit 3Lesson 7: Why Pi?
Lesson 11: Stained-Glass WindowsUnit 3Lesson 5: Area StrategiesLesson 6: Radius Squares (Print available)

Unit 4: Proportional Relationships and Percentages

Topic 1: Proportional Relationships with Fractions 
Lesson 1: Lots of Flags
Lesson 2: Ratios and Rates with Fractions
Lesson 3: Revisiting Proportional Relationships
Lesson 4: Half as Much Again
Unit 4Lesson 1: Mosaics [Free lesson]Lesson 2: Peach Cobbler (Print available)Lesson 3: Sticker Sizes
Lesson 5: Say It with Decimals 
Topic 2: Percent Increase and Decrease 
Lesson 6: Increasing and DecreasingUnit 4Lesson 4: More and LessLesson 5: All the EquationsLesson 6: 100% (Print available)Lesson 7: Percent machines [Free lesson]Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 7: One Hundred percentUnit 4Lesson 6: 100% (Print available)
Lesson 8: Percent Increase and Decrease with EquationsUnit 4Lesson 5: All the Equations
Lesson 9: More and Less than 1% 
Topic 3: Applying Percentages
Lesson 10: Tax and Tip
Lesson 11: Percentage Contexts
Unit 4Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]
Lesson 12: Finding the PercentagesUnit 4Lesson 4: More and Less
Lesson 13: Measurement Error
Lesson 14: Percent Error
Lesson 15: Error Intervals
Unit 4Lesson 11: Bookcase Builder
Topic 4: Let’s Put It to Work 
Lesson 16: Posing Percent ProblemsUnit 4Lesson 8: Tax and TipLesson 9: Minimum Wage (Print available)Lesson 10: Cost of College (Print available)Lesson 11: Bookcase BuilderLesson 12: Posing Percent Problems [Free lesson]Practice Day

Unit 5: Rational Number Arithmetic

Topic 1: Interpreting Negative Numbers 
Lesson 1: Interpreting Negative NumbersUnit 5Lesson 1: Floats and Anchors [Free lesson]
Topic 2: Adding and Subtracting Rational Numbers
Lesson 2: Changing Temperatures
Lesson 3: Changing Elevation
Unit 5Lesson 2: More Floats and AnchorsLesson 3: BumpersLesson 4: Draw Your Own (Print available) [Free lesson]
Lesson 4: Money and Debts 
Lesson 5: Representing SubtractionUnit 5Lesson 5: Number Puzzles
Lesson 6: Subtracting Rational Numbers
Lesson 7: Adding and Subtracting to Solve Problems
Unit 5Lesson 3: BumpersLesson 4: Draw Your Own (Print available) [Free lesson]Lesson 5: Number PuzzlesLesson 10: Integer Puzzles [Free lesson]Lesson 11: Changing TemperaturesLesson 13: Solar Panels and More (Print available)Practice Day 1 (Print available)
Topic 3: Multiplying and Dividing Rational Numbers
Lesson 8: Position, Speed, and Direction
Lesson 9: Multiplying Rational Numbers
Lesson 10: Multiply!
Unit 5Lesson 7: Back in Time
Lesson 11: Dividing Rational NumbersUnit 5Lesson 8: Speeding Turtles
Lesson 12: Negative Rates 
Topic 4: Four Operations with Rational Numbers 
Lesson 13: Expressions with Rational NumbersUnit 5Lesson 9: Expressions (Print available)
Lesson 14: Solving Problems with Rational NumbersLesson 11: Changing Temperatures
Lesson 12: Arctic Ice Sea (Print available)
Lesson 13: Solar Panels and More (Print available)
Topic 5: Solving Equations When There Are Negative Numbers 
Lesson 15: Making and Measuring Boxes 
Lesson 16: Representing Contexts with Equations 
Topic 6: Let’s Put It to Work 
Lesson 17: The Stock market

Unit 6: Expressions, Equations, and Inequalities

Topic 1: Representing Situations of the Form px + q and p(+ q) = r
Lesson 1: Relationships Between Quantities
Unit 2 Lesson 1: Paint [Free lesson] Lesson 2: Balloon Float
Unit 4 Lesson 1: Mosaics [Free lesson] Lesson 2: Peach Cobbler (Print available)
Unit 6 Lesson 1: Toothpicks and Tiles
Lesson 2: Reasoning about Contexts with Tape Diagrams
Lesson 3: Reasoning about Equations with Tape Diagrams
Lesson 4: Reasoning about Equations and Tape Diagrams (Part 1)
Lesson 5: Reasoning about Equations and Tape Diagrams (Part 2)
Unit 6Lesson 2: Smudged ReceiptsLesson 3: EquationsLesson 4: Seeing Structure (Print available)
Lesson 6: Distinguishing between Two Types of SituationsUnit 6Lesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)
Topic 2: Solving Equations of the Form px + q and p(+ q) = and Problems That lead to Those Equations 
Lesson 7: Reasoning about Solving Equations (Part 1)Unit 6Lesson 5: Balancing MovesLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available) 
Lesson 8: Reasoning about Solving Equations (Part 2)Unit 6Lesson 5: Balancing MovesLesson 6: Balancing EquationsLesson 7: Keeping It True (Print available)Lesson 9: Always-Equal Machines
Topic 9 Dealing with Negative Numbers 
Lesson 10: Different Options for Solving One EquationUnit 6Lesson 7: Keeping It True (Print available)Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)
Lesson 11: Using Equations to Solve ProblemsUnit 6Lesson 12: Community Day (Print available)
Lesson 12: Solving Problems about Percent Increase or DecreaseUnit 4Lesson 10: Cost of College (Print available)
Topic 3: Inequalities 
Lesson 13: Reintroducing InequalitiesUnit 6Lesson 13: I Saw the SignsLesson 15: BudgetingLesson 16: Shira the Sheep [Free lesson]
Lesson 14: Finding Solutions to Inequalities in Context
Lesson 15: Efficiency Solving Inequalities
Unit 6Lesson 14: Unbalanced HangersLesson 15 Budgeting (Print available)Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)
Lesson 16: Interpreting Inequalities
Lesson 17: Modeling with Inequalities
Unit 6Lesson 16: Shira the Sheep [Free lesson]Lesson 17: Write Them and Solve Them (Print available)Practice Day 2 (Print available)
Topic 4: Writing Equivalent Expressions 
Lesson 18: Subtraction in Equivalent ExpressionsUnit 6Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available) 
Lesson 19: Expanding and FactoringUnit 6Lesson 8: Factoring and Expanding (Print available)Lesson 11: Equation Roundtable (Print available)
Lesson 20: Combining Like Terms (Part 1)
Lesson 21: Combining Like Terms (Part 2)
Lesson 22: Combining Like Terms (Part 3)
Unit 6Lesson 2: Smudged ReceiptsLesson 6: Balancing EquationsLesson 8: Factoring and Expanding (Print available)Lesson 9: Always-Equal MachinesLesson 10: Collect the Squares [Free lesson]Lesson 11: Equation Roundtable (Print available)Practice Day 1 (Print available)
Topic 5: Let’s Put It to Work
Lesson 23: Applications of ExpressionsUnit 6Lesson 12: Community Day (Print available)

Unit 7: Angles, Triangles, and Prisms

Topic 1: Angle Relationships
Lesson 1:Relationships of Angles
Unit 7 Lesson 1: Pinwheels Lesson 2: Friendly Angles [Free lesson] Lesson 3: Angle Diagrams
Lesson 2: Adjacent Angles
Lesson 3: Nonadjacent Angles
Unit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle Diagrams
Lesson 4: Solving for Unknown AnglesUnit 7Lesson 2: Friendly Angles [Free lesson]Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available)
Lesson 5: Using Equations to Solve for Unknown AnglesUnit 7Lesson 3: Angle DiagramsLesson 4: Missing Measures (Print available) [Free lesson]
Topic 2: Drawing Polygons with Given Conditions 
Lesson 6: Building Polygons (Part 1)
Lesson 7: Building Polygons (Part 2)
Unit 7Lesson 6: Is It Enough?
Lesson 8: Triangles with 3 Common MeasuresUnit 7Lesson 13: Popcorn Possibilities
Lesson 9: Drawing Triangles (Part 1)
Lesson 10: Drawing Triangles (Part 2)
Unit 7Lesson 5: Can You Build It? [Free lesson]Lesson 6: Is It Enough?Lesson 7: More Than OneLesson 8: Can You Draw It? (Print available)Practice Day 1 (Print available)
Topic 3: Solid Geometry
Lesson 11: Slicing SolidsUnit 7Lesson 9: Slicing Solids
Lesson 12: Volume of Right PrismsUnit 7Lesson 10: Simple Prisms
Lesson 13: Decomposing Bases for AreasUnit 7Lesson 11: More Complicated Prisms
Lesson 14: Surface Area of Right PrismsUnit 7Lesson 10: Simple PrismsLesson 11: More Complicated PrismsLesson 12: Surface Area Strategies (Print available)
Lesson 15: Distinguishing Volume and Surface Area
Lesson 16: Applying Volume and Surface AreaUnit 7Lesson 13: Popcorn Possibilities
Topic 4: Let’s Put It to Work
Lesson 17: Building Prisms

Unit 8: Probability and Sampling

Topic 1: Probabilities of Single Step Events
Lesson 1: Mystery Bags
Lesson 2: Chance Experiments
Lesson 3: What Are Probabilities?
Unit 8 Lesson 1: How Likely? (Print available) [Free lesson] Lesson 2: Prob-bear-bilities [Free lesson] Lesson 3: Mystery Bag
Lesson 4: Estimating Probabilities Through Repeated ExperimentsUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair Games
Lesson 5: More Estimating ProbabilitiesUnit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 9: Car, Bike, or Train? (Print available)
Lesson 6: Estimating Probabilities Using SimulationUnit 8Lesson 6: Fair GamesLesson 7: Weather or NotLesson 8: Simulate ItLesson 9: Car, Bike, or Train? (Print available)
Topic 2: Probabilities of Multi-step Events
Lesson 7: Simulating Multi-step EventsUnit 8Lesson 7: Weather or NotLesson 8: Simulate ItLesson 9: Car, Bike, or Train? (Print available)
Lesson 8: Keeping Track of All Possible OutcomesUnit 8Lesson 4: Spin ClassLesson 5: Is It Fair?Lesson 6: Fair Games
Topic 9: Multi-step experiments
Lesson 10: Designing SimulationsUnit 8Lesson 7: Weather or NotLesson 8: Simulate ItLesson 9: Car, Bike, or Train? (Print available)
Topic 3: Sampling
Lesson 11: Comparing Groups
Lesson 12: Larger Populations
Lesson 13: What Makes a Good Sample?
Lesson 14: Sampling in a Fair Way
Unit 8Lesson 10: Crab Island [Free lesson]Lesson 11: Headlines
Topic 4: Using Samples
Lesson 15: Estimating Population Measures of Center
Lesson 16: Estimating Population Proportions
Unit 8 Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 11: HeadlinesLesson 12: Flower Power
Lesson 17: More about Sampling Variability
Lesson 18: Comparing Populations Using Samples
Lesson 19: Comparing Populations with Friends
Unit 8Lesson 9: Car, Bike, or Train? (Print available)Lesson 10: Crab Island [Free lesson]Lesson 13: Plots and SamplesLesson 14: School Newspaper (Print available)Lesson 15: Asthma Rates (Print available)
Topic 5: Let’s Put It to Work
Lesson 20: Memory TestUnit 8Lesson 14: School Newspaper (Print available)Lesson 15: Asthma Rates (Print available)

Grade 8

Unit 1: Rigid Transformations and Congruence

Illustrative MathematicsDesmos Math 6–A1
Topic 1: Rigid Transformations 
Lesson 1: Moving in the PlaneUnit 1Lesson 1: Transformers [Free lesson]
Lesson 2: Naming the MovesUnit 1Lesson 2: Spinning, Flipping, Sliding [Free lesson]
Lesson 3: Grid MovesUnit 1Lesson 3: Transformation GolfLesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting CoordinatedUnit 3Lesson 6: Translations
Lesson 4: Making the MovesUnit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Lesson 5: Coordinate MovesUnit 1Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Lesson 6: Describing TransformationsUnit 1Lesson 5: Getting CoordinatedLesson 6: Connecting the Dots [Free lesson]
Topic 2: Properties of Rigid Transformations 
Lesson 7: No Bending or StretchingUnit 1Lesson 7: No Bending, No Stretching
Lesson 8: Rotation PatternsUnit 1Lesson 1: Transformers [Free lesson]Lesson 2: Spinning, Flipping, Sliding [Free lesson]Lesson 4: Moving Day (Print available) [Free lesson]Lesson 5: Getting Coordinated
Lesson 9: Moves in Parallel
Lesson 10: Composing Figures
Unit 1 Lesson 10: Transforming Angles
Topic 3: Congruence 
Lesson 11: What is the Same?
Lesson 12: Congruent Polygons
Lesson 13: Congruence
Unit 1 Lesson 7: Are They the Same?Lesson 9: Are They Congruent?Practice Day (Print available)
Topic 4: Angles in a Triangle
Lesson 14: Alternate Interior Angles
Lesson 15: Adding the Angles in a Triangle
Unit 1 Lesson 11: Tearing It Up (Print available)
Lesson 16: Parallel Lines and the Angles in a TriangleUnit 1 Lesson 10: Transforming Angles
Topic 5: Let’s Put It to Work
Lesson 17: Rotate and TessellateLesson 13: Tessellate [Free lesson]

Unit 2: Dilations, Similarity, and Introducing Slope

Topic 1: Dilations
Lesson 1: Projecting and ScalingUnit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf (Print available) [Free lesson]
Lesson 2: Circular Grid
Lesson 3: Dilations with No Grid
Lesson 4: Dilations on a Square Grid
Lesson 5: More Dilations
Unit 2Lesson 1: Sketchy Dilations [Free lesson]Lesson 2: Dilation Mini Golf (Print available) [Free lesson]Lesson 3: Match My DilationLesson 4: Dilations on a Plane
Topic 2: Similarity 
Lesson 6: SimilarityUnit 2Lesson 5: Transformations Golf with DilationsLesson 6: Social Scavenger Hunt (Print available) [Free lesson]
Lesson 7: Similar Polygons 
Lesson 8: Similar Triangles
Lesson 9: Side Length Quotients in Similar Triangles
Unit 2Lesson 7: Are Angles Enough?Lesson 8: Shadows
Topic 3: Slope
Lesson 10: Meet SlopeUnit 2Lesson 9: Water SlideLesson 10: Points on a PlanePractice Day (Print available)Unit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations Unit 4Lesson 8: When Are They the Same?
Lesson 11: Writing Equations of LinesUnit 3Lesson 3: PostersLesson 6: TranslationsLesson 10: SolutionsLesson 11: Pennies and Quarters Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 12: Using Equations of LinesUnit 3Lesson 9: Coin Capture
Topic 4: Let’s Put It to Work
Lesson 13: The Shadow KnowsUnit 2Lesson 8: Shadows

Unit 3: Linear Relationships

Topic 1: Proportional Relationships 
Lesson 1: Understanding Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]
Lesson 2: Graphs of Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 2: Water Tank Unit 5Lesson 4: Window Frames
Lesson 3: Representing Proportional RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson] Unit 5Lesson 4: Window FramesLesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 4: Comparing Proportional RelationshipsUnit 3Lesson 3: Posters
Topic 2: Representing Linear Relationships
Lesson 5: Introduction to Linear RelationshipsUnit 3Lesson 1: Turtle Time Trials [Free lesson]Lesson 4: Stacking CupsUnit 5Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 6: More Linear RelationshipsUnit 5Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 7: Representations of Linear RelationshipsUnit 3Lesson 5: Flags [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 8: Translating mx + bUnit 3Lesson 3: PostersLesson 6: Translations
Topic 3: Finding Slopes 
Lesson 9: Slopes Don’t Have to be PositiveUnit 3Lesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 8: Landing Planes
Lesson 10: Calculating SlopeUnit 3Lesson 7: Water CoolerLesson 8: Landing Planes
Lesson 11: Equations of All Kinds of LinesUnit 3Lesson 3: PostersLesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Topic 4: Linear Equations 
Lesson 12: Solutions to Linear EquationsUnit 3Lesson 3: PostersLesson 6: TranslationsLesson 10: Solutions Unit 4Lesson 3: Balanced MovesLesson 4: More Balanced Moves (Print available)
Lesson 13: More Solutions to Linear EquationsUnit 3 Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: TranslationsLesson 7: Water CoolerLesson 10: Solutions
Topic 5: Let’s Put It to Work 
Lesson 14: Using Linear Relations to Solve ProblemsUnit 3 Lesson 11: Pennies and Quarters

Unit 4: Linear Equations and Linear Systems

Topic 1: Puzzle Problems 
Lesson 1: Number PuzzlesUnit 4Lesson 1: Number machines
Topic 2: Linear Equation in One Variable 
Lesson 2: Keeping the Equation BalancedUnit 4Lesson 2: Keep It Balanced
Lesson 3: Balanced MovesUnit 4Lesson 3: Balanced Moves
Lesson 4: More Balanced MovesUnit 4Lesson 4: More Balanced Moves (Print available)
Lesson 5: Solving Any Linear EquationUnit 4Lesson 4: More Balanced Moves (Print available)Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 6: Strategic SolvingUnit 4Lesson 5: Equation Roundtable (Print available) [Free lesson]Lesson 6: Strategic Solving (Print available)
Lesson 7: All, Some, or No Solutions
Lesson 8: How many Solutions?
Unit 4Lesson 7: All, Some, or None?
Lesson 9: When Are They the SameUnit 4Lesson 8: When Are They the Same?
Topic 3: Systems of Linear Equations
Lesson 10: On or Off the Line?Unit 4Lesson 7: All, Some, or None?Lesson 8: When Are They the Same?Lesson 13: All, Some, or None? Part 2
Lesson 11: On Both of the Lines
Lesson 12: Systems of Equations
Lesson 13: Solving Systems of Equations
Unit 4 Lesson 9: On or Off the Line?Lesson 10: On Both LinesLesson 11: Make Them Balance [Free lesson]Lesson 12: Line Zapper [Free lesson]Lesson 13: All, Some, or None? Part 2Practice Day 2 (Print available)
Lesson 14: Solving More Systems 
Lesson 15: Writing Systems of EquationsUnit 4 Lesson 14: Strategic Solving, Part 2 (Print available)
Topic 4: Let’s Put It to Work 
Lesson 16: Posing Problems with Systems of EquationsUnit 4 Lesson 14: Strategic Solving, Part 2 (Print available)

Unit 5: Functions and Volume

Topic 1: Inputs and Outputs 
Lesson 1: Inputs and OutputsUnit 5Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson]
Lesson 2: Introduction to FunctionsUnit 5Lesson 1: Turtle Crossing [Free lesson]Lesson 2: Guess My Rule [Free lesson]Lesson 3: Function or Not?
Topic 2: Representing and Interpreting Functions 
Lesson 3: Equations of FunctionsUnit 3Lesson 1: Turtle Time Trials [Free lesson] Unit 5Lesson 3: Function or Not?Lesson 4: Window Frames
Lesson 4: Tables, Equations, and Graphs of Functions
Lesson 5: More Graphs of Functions
Unit 5Lesson 4: Window FramesLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: Charge! (Print available)
Lesson 6: Even More Graphs of Functions 
Lesson 7: Connecting Representations of FunctionsUnit 5Lesson 7: Feel the Burn (Print available) [Free lesson]Lesson 8: (Print available)Charge!
Topic 3: Linear Functions and Rates of Change
Lesson 8: Linear FunctionsUnit 2Lesson 9: Water SlideLesson 10: Points on a PlaneUnit 3Lesson 4: Stacking CupsLesson 5: Flags [Free lesson]Lesson 6: Translations
Lesson 9: Linear ModelsUnit 5Lesson 3: PostersLesson 5: The Tortoise and the Hare [Free lesson]Lesson 6: Graphing StoriesLesson 7: Feel the Burn (Print available) [Free lesson]
Lesson 10: Piecewise Linear FunctionsUnit 5Lesson 9: Piecing It Together
Topic 4: Cylinder and Cones 
Lesson 11: Filling Containers 
Lesson 12: How Much Will Fit? 
Lesson 13: The Volume of a CylinderUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling Cylinders
Lesson 14: Finding Cylinder DimensionsUnit 5Lesson 10: Volume LabLesson 11: Cylinders [Free lesson]Lesson 12: Scaling CylindersLesson 14: Missing Dimensions (Print available)
Lesson 15: The Volume of a ConeUnit 5Lesson 10: Volume LabLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Lesson 16: Finding Cone DimensionsUnit 5Lesson 12: Scaling CylindersLesson 13: Cones [Free lesson]Lesson 14: Missing Dimensions (Print available)
Topic 5: Dimensions and Spheres 
Lesson 17: Scaling One DimensionUnit 5Lesson 12: Scaling Cylinders
Lesson 18: Scaling Two Dimensions 
Lesson 19: Estimating a Hemisphere 
Lesson 20: The Volume of a Sphere
Lesson 21: Cylinders, Cones, and Spheres
Unit 5Lesson 15: SpheresPractice Day 2 (Print available)
Topic 6: Let’s Put It to Work 
Lesson 22: Volume As a Function of …Unit 5Lesson 15: Spheres

Unit 6: Associations in Data

Topic 1: Does This Predict That? 
Lesson 1: Organizing DataUnit 6 Lesson 1: Click Battle
Lesson 2: Plotting DataUnit 6 Lesson 2: Wing Span
Topic 2: Associations in Numerical Data 
Lesson 3: What a Point in a Scatter Plot MeansUnit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Lesson 7: Scatter Plot City
Lesson 4: Fitting a LineUnit 6 Lesson 4: Dapper Cats [Free lesson]Lesson 5: Fit Fights [Free lesson]Lesson 6: Interpreting SlopesLesson 8: Animal BrainsPractice Day 1 (Print available) [Free lesson]Practice Day 2 (Print available)
Lesson 5: Describing Trends in Scatter PlotsUnit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Lesson 7: Scatter Plot City(Print available)Practice Day 1 [Free lesson]
Lesson 6: The Slope of a Fitted LineUnit 6 Lesson 6: Interpreting SlopesLesson 7: Scatter Plot CityPractice Day 1 (Print available) [Free lesson]Practice Day 2 (Print available)
Lesson 7: Observing More patterns in Scatter PlotsUnit 6 Lesson 1: Click BattleLesson 2: Wing SpanLesson 3: Robots [Free lesson]Lesson 7: Scatter Plot City
Lesson 8: Analyzing Bivariate DataUnit 6Lesson 9: Tasty Fruit
Topic 3: Associations in Categorical data 
Lesson 9: Looking for AssociationsUnit 6Lesson 10: Finding Associations [Free lesson]Lesson 11: Federal BudgetsPractice Day 3 (Print available)
Lesson 10: Using Data Displays to Find associationsUnit 6Lesson 10: Finding Associations [Free lesson]Lesson 9: Tasty Fruit
Topic 4: Let’s Put It to Work
Lesson 11: Gone in 30 SecondsUnit 6Lesson 11: Federal Budgets

Unit 7: Exponents and Scientific Notation

Topic 1: Exponent Review 
Lesson 1: Exponent ReviewUnit 7 Lesson 1: Circles [Free lesson]Lesson 2: Combining Exponents
Topic 2: Exponent Rules 
Lesson 2: Multiplying Powers of 10
Lesson 3: Powers of Powers of 10
Lesson 4: Dividing Powers of 10
Unit 7 Lesson 3: Power Pairs (Print available) [Free lesson]Lesson 4: Rewriting Powers  
Lesson 5: Negative Exponents with Powers of 10Unit 7 Lesson 5: Zero and Negative ExponentsLesson 6: Write a Rule (Print available)Practice Day 1 (Print available)
Lesson 6: What about Other Bases? 
Lesson 7: Practice with Rational Bases
Lesson 8: Combining Bases 
Topic 3: Scientific Notation 
Lesson 9: Describing Large and Small Numbers using Powers of 10Unit 7 Lesson 7: Scales and Weights
Lesson 10: Representing Large Numbers on the Number Line
Lesson 11: Representing Small Numbers on the Number Line
Unit 7 Lesson 8: Point Zapper
Lesson 12: Applications of Arithmetic with Powers of 10Unit 7  Lesson 8: Point ZapperLesson 9: Use Your Powers
Lesson 13: Defining Scientific Notation
Lesson 14: Multiplying, Dividing, and Estimating with Scientific Notation
Unit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 13: Star Power
Lesson 15: Adding and Subtracting with Scientific NotationUnit 7 Lesson 10: Solar System [Free lesson]Lesson 11: Balance the Scales [Free lesson]Lesson 12: City LightsLesson 13: Star Power
Topic 4: Let’s Put It to Work
Lesson 16: Is a Smartphone Smart Enough to Go to the Moon?Lesson 13: Star Power Practice Day 2 (Print available)

Unit 8: Pythagorean Theorem and Irrational Numbers

Topic 1: Side Lengths and Areas of Squares
Lesson 1: The Areas of Squares and Their Side LengthsUnit 8Lesson 1: Tilted Squares
Lesson 2: Side Lengths and AreasUnit 8Lesson 2: From Squares to RootsLesson 3: Between Squares
Lesson 3: Rational and Irrational Numbers
Lesson 4: Square Roots on the Number Line
Lesson 5: Reasoning about Square RootsUnit 8Lesson 2: From Squares to RootsLesson 3: Between SquaresLesson 4: Root Down [Free lesson]Practice Day 1 (Print available)
Topic 2: The Pythagorean Theorem
Lesson 6: Finding Side Lengths of TrianglesUnit 8Lesson 6: The Pythagorean TheoremLesson 7: Pictures to Prove ItLesson 8: Triangle-Tracing Turtle [Free lesson]
Lesson 7: A Proof of the Pythagorean TheoremUnit 8Lesson 7: Pictures to Prove It
Lesson 8: Finding Unknown Side LengthsUnit 8Lesson 11: Pond Hopper
Lesson 9: The ConverseUnit 8Lesson 9: Make It Right
Lesson 10: Applications of the Pythagorean TheoremUnit 8Lesson 10: Taco Truck [Free lesson]
Lesson 11: Finding Distances in the Coordinate PlaneUnit 8Lesson 11: Pond Hopper
Topic 3: Side Lengths and Volumes of Cubes
Lesson 12: Edge Lengths and Volumes
Lesson 13: Cube Roots
Unit 8Lesson 5: Filling Cubes
Topic 4: Decimal Representation of Rational and Irrational Numbers
Lesson 14: Decimal Representation of Rational and Numbers
Lesson 15: Infinite Decimal expansions
Unit 8Lesson 12: Fractions to DecimalsLesson 13: Decimals to Fractions
Topic 5: Let’s Put It to Work
Lesson 16: When Is the Same Size Not the Same Size?Unit 8Lesson 10: Taco Truck [Free lesson]

Unit 9: Putting It All Together

Topic 1: Tessellations
Lesson 1: Tessellations of the Plane
Lesson 2: Regular Tessellations
Lesson 3: Tessellating Polygons
Topic 2: The Weather
Lesson 4: What Influences Temperature?
Lesson 5: Plotting the Weather
Lesson 6: Using and Interpreting a Mathematical Model

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S5-02. Uncovering the causes of math anxiety

A blue graphic with text reading "Math Teacher Lounge" in multicolored letters and "Amplify." at the bottom, with abstract geometric shapes and lines as decoration.

We’re continuing our season theme of math anxiety, going beyond the basics, diving deeper into what causes it, and how we can help students move forward. In this episode, we talk to Dr. Erin Maloney from the University of Ottawa to better understand what’s actually happening in the brain when a person experiences math anxiety, and how we can take steps to shift student mindsets in a positive direction.
 
Listen now and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!
 
Enjoy this episode and explore more from Math Teacher Lounge by visiting our main page. 

Download Transcript

Dr. Erin Maloney (00:00):

It’s the anxiety itself in many ways that can cause people to underperform.

Bethany Lockhart Johnson (00:06):

Welcome back to Math Teacher Lounge. I’m Bethany Lockhart Johnson.

Dan Meyer (00:10):

And I’m Dan Meyer.

Bethany Lockhart Johnson (00:11):

This is episode two of our new season, all about math anxiety. Who has it? What is it? What do we do about it?

Dan Meyer (00:20):

I’m learning so much, learning a ton.

Bethany Lockhart Johnson (00:22):

I loved our first conversation with Dr. Gerardo Ramirez, episode one, our first episode of the season. Really, our goal with that conversation was just to—we need to talk about the basics of it, for reals. Like, what is math anxiety?

Dan Meyer (00:36):

What is it? How do you measure it? How’s it defined? Super-helpful stuff.

Bethany Lockhart Johnson (00:40):

There’s not only one way that it’s measured. But it’s like, in active research right now, how are folks making sense of it? And I think Dr. Ramirez did such a fantastic job of sharing that with our listeners. And I learned a lot. You learned a lot, Dan?

Dan Meyer (00:56):

I did. And I’m also super-excited to take that knowledge that we have developed together and go and build on top of it and keep on climbing up up the mountain here, and learn more about math anxiety. Which is why we’re super-excited to have a guest on, Dr. Maloney, who is going to help us learn more—especially about what happens to the brain when it’s experiencing math anxiety. There’s some really complex stuff that happens there, including the role of parents and educators in creating and resolving math anxiety. And I think we’ll also learn that the whole situation is a bit of a hot mess. And we’ll try to make it a little bit less messy together.

Bethany Lockhart Johnson (01:34):

Little bit less messy. Dan, if we do nothing else, can we make it a little less messy?

Dan Meyer (01:41):

I sometimes prefer more mess, but in this case I prefer less. So.

Bethany Lockhart Johnson (01:45):

I have a two-year-old, so everything is a mess.

Dan Meyer (01:47):

Your life is mess. Yes. <laugh> Right. Well, I’m excited for you folks to hear this. It was a delightful conversation, so yeah, tune in. We are joined by Dr. Erin Maloney.

Bethany Lockhart Johnson (01:56):

Let’s go. We are joined by Dr. Erin Maloney, associate professor in the School of Psychology at the University of Ottawa, where she directs the Cognition and Emotion Laboratory, as well as serving as the Canada Research Chair in Academic Achievement and Well-being. Welcome to the show, Dr. Maloney. We’re so excited to have you in the Lounge.

Dr. Erin Maloney (02:20):

Yeah, thank you so much for having me. This is fantastic.

Bethany Lockhart Johnson (02:24):

So our last season was all about math and joy. And even when I read your title, I felt more joyful. Like, somebody is thinking about academic achievement, but with well-being in mind. I love it.

Dr. Erin Maloney (02:39):

Aw, thank you.

Dan Meyer (02:40):

Cognition and emotion!

Bethany Lockhart Johnson (02:42):

E-mo-tion!

Dr. Erin Maloney (02:43):

I don’t think they can be separate. I think that you have to think about them together, ’cause they’re so intricately connected.

Dan Meyer (02:49):

Love that. People try, but we love that. Yeah. That’s our vibe here, too.

Bethany Lockhart Johnson (02:52):

People try. That was a big problem with my math anxiety. They just wanted…there was no room for my emotion. They’re like, stop weeping at your desk—

Dan Meyer (03:00):

It’s rearranging neurons….

Bethany Lockhart Johnson (03:01):

—you’re distracting the other children. So would you mind telling us the story of how you even got interested in this topic? You know, when you tell people that you study math anxiety—or, actually, I don’t know how you describe it to them; I’m hopeful you bring in that well-being part—but how did you get here? What do you, what do you, what do you…yeah, tell us! We love it!

Dr. Erin Maloney (03:23):

<laugh> I feel like what you’re actually asking is, “How did you make life choices that got you to here?” <Laugh>

Bethany Lockhart Johnson (03:29):

Justify your life choices! Ready? Go!

Dr. Erin Maloney (03:32):

<laugh> Whoo. OK. So, all right. So we often, in psychology, we joke that instead of doing research, we do “me-search.” And that’s, that’s admittedly true in my case. I was a student who absolutely loved math up until about eighth grade, and then something changed, and all of a sudden I was terrified of math and I had absolutely no sense of self-efficacy in it. Despite trying really hard, I was extremely anxious about it. And so I initially, I set out…my parents were completely convinced that I was absolutely capable of doing mathematics and that I was getting in my own way. And when I went to university, I decided to prove them wrong. So I set out to prove that some people just can’t do math, and that’s the end of it. And, you know, 20 plus years later, my parents were right. And it turns out that many people—well, I would argue virtually everyone—can do math. And that if you are really anxious about it, it can get in the way. And interestingly, you know, in, in the years that we’ve been doing this research, there’s really good strategies that can be used—that hopefully we get a chance to chat about—that can really help reduce the amount of anxiety that students are experiencing. But I really did set out, like the bold teenager that I was, to prove my parents wrong. And that backfired <laugh>. So I know it’s kind of a strange answer, but it’s the truth. So I was really interested in understanding why it was some people just could not do math.

Dan Meyer (05:10):

That makes two for two so far, on guests for this season who did a version of me-search. And I feel like this is pretty common for a lot of researchers. Like, I wanna figure out…my experience as a teacher, the part where you, I think, diverge from a lot of people I knew in grad school, myself included, is that you actually let counter evidence change your perspective on things. Whereas I feel like a lot of us go in: “I know this is true and I’m gonna gather data!” and lo and behold, I’m true! But only now, with the research TM, you know, trademarked research, attached to it. So that’s, really exciting. Thanks for sharing that.

Dr. Erin Maloney (05:43):

No, you’re welcome.

Bethany Lockhart Johnson (05:44):

But don’t people say that the more personal you get, the more universal it is? Right? So if you go and get your doctorate about something that you think is just your experience or in your brain, then people are gonna be gonna be like, “Wait a second; you think that too?” “Wait, that math anxiety isn’t just you?” I don’t know, it sounds like a pretty great path to me. When you tell folks that you study math anxiety or when you’re speaking to folks about your research, do you find that there is a lot of folks who relate to what you’re studying? Or how does that conversation typically go?

Dr. Erin Maloney (06:20):

Yeah, so it is I think an extremely relatable topic. Not in the sense that everyone experiences anxiety about math, but everyone seems to know somebody who’s really anxious about math. Or everyone’s at least aware of the stereotype that like some people are math people and some people aren’t, and that’s just the way it is. So it feels like everyone has feelings about math and everyone seems very happy to share those feelings. So one thing I’ve always found really interesting, and actually, so I, I know you mentioned that you had Gerardo on recently. Gerardo and I have had really interesting conversations about how people are really quick to tell you that they hate math and they can’t do math, and they’re anxious about math. And I’ve yet to have anyone ever tell me they hate reading, they can’t read, they’re really anxious about reading as an adult. So for some reason math seems really different. And in that sense people always seem to be pretty excited to talk about their feelings towards math.

Dan Meyer (07:23):

Yeah, definitely. Been on an airplane or two myself and had those conversations. You know, people asking to be reseated because they found out that I do math for a living or whatever. Or just unburdening themselves, for sure. I’m super-curious: I think that the fact that you are doing the me-search is reason enough to want to dedicate your life to this study. But I am curious: If you were gonna justify to someone else, why is math anxiety important to study? What are its consequences, even outside of math education? What would you say to that?

Dr. Erin Maloney (07:57):

So I think it’s probably not hard to convince people that success in math is important, right? So we know that children who start elementary school behind in mathematics tend to stay behind in mathematics, unless they have any kind of very targeted intervention. We know that children who do worse in mathematics throughout K to 12 education in general get lower-paying jobs when they’re older. We also know that when they do worse than mathematics relative to their peers, there’s fewer jobs that are open to them, relative to if they excelled in math. Right? And so I think in many ways there are really clear consequences for students who are not comfortable with math and who avoid it. But I think one of the really, really interesting things about math anxiety, and maybe part of why I’ve fallen in love with it as a research topic is that it’s the anxiety itself in many ways that can cause people to underperform. So it’s not just the case that people who are bad at math are anxious about it. It’s actually that the anxiety itself can cause you to do worse in math. And that for me is really exciting, ’cause it means that if we can change your mindset, then we can really set you on a path with several more options available to you career-wise. And I think that is really empowering.

Dan Meyer (09:18):

Hmm. Yeah, definitely. And I’d love for you to explore — your laboratory is the cognition and emotion laboratory, which I love, how you’re creating those linkages between how you feel about a thing and what your opportunities or your aptitude for learning it. I’m really curious, can you say more about the, the relationship there? How does feeling anxiety impair your ability to do mathematics?

Dr. Erin Maloney (09:41):

Yeah, so feeling anxiety, typically what you tend to experience is these negative thoughts and ruminations. So you can imagine, you’re somebody who doesn’t really love math, you’re pretty anxious about it; you know, Bethany, maybe you’ve had this kind of experience before. I’m gonna call you out on it. I’ve had it many times, where you sit down to do a math test and all of a sudden you’re not focusing on the actual math test in front of you. You’re focusing on things like the consequences of not doing well on this. Right? Or “my parents are gonna be really disappointed if I don’t pass this test,” or “my teacher is gonna think negatively negative of me,” or sometimes we see things like, “I’m a girl, girls don’t do math.” These types of stereotypes. And what happens is that those thoughts actually tie up really important cognitive resources, like, really important memory resources, that you need to do the math test. And so if you are trying to essentially do two things at once, right? You’re trying to deal with all these negative thoughts that are distracting you and you’re trying to do the math test, then you’re not going to do as well as someone who’s sitting down and doesn’t have all of these distracting thoughts to deal with. And we actually know that from research that we have in our lab right now, where we just ask people like, “Hey, when you did this math test, what kind of stuff are you thinking about?” what we find is that the people who are really anxious about math report a whole bunch of thoughts that are unrelated really to the math test, per se. It’s more about the consequences of doing poorly. And as a result of those thoughts, they actually end up doing worse.

Dan Meyer (11:14):

This has been really helpful to figure out, how the emotional state of doing math affects the ability to do math. And it’s really interesting how you’re saying that the direction of the causality can go from the emotions to the cognition. And I’m just curious then, what is the source of the bad emotions about math? Where does that come from? Is it nature? Is it nurture? Some combination? How do you see it?

Dr. Erin Maloney (11:39):

Yeah, so one, that’s a fantastic question. And there’s been a whole bunch of people all around the world that have been spending a lot of time really trying to pinpoint that down. And I think the answer is that it’s, you know, it’s complex. So most of what it’s looking like right now is that it is a combination of both. So essentially what we find is that kids who start elementary school who are a little bit behind in math—and for the question of why they’re behind, that’s also complex; it could be genetics, it could be just environmental input, before the child ever entered formal schooling kind of thing—but in essence, what we find is that kids that start school behind in mathematics, those are the children who are most likely to develop anxiety about math by the time they’re finished first grade. OK? But we also know that once they’ve developed the anxiety about math, then that’s when they get these thoughts and ruminations that kind of tie up those memory resources, that then is gonna make it harder for them to succeed in math tests. So you get into this sort of vicious cycle, right? Where maybe you start behind a little bit and then you develop the anxiety, the anxiety causes you to underperform relative to what you should be able to, so now you’re even further behind, you get more anxious because you’re not doing as well as you’d like to…but again, kind of coming back to the “Why are the children starting behind in the first place?” Some of that seems to be the role that parents are playing in the household. So some kids come from a household where parents are playing a lot more math games with them, talking about mathematical concepts on a regular basis. Maybe they have older siblings who are, you know, practicing arithmetic and, and mathematical processing in front of them. And so those kids are exposed to more math before they ever even start formal schooling. Those kids seem to do better. And then we also know that the parents’ attitudes matter a lot too. So what we find is that when parents are high in math anxiety themselves, especially when they help their children a lot with their math homework in really early ages, we find that those kids end up being more anxious about math by the end of the school year, and they also end up doing worse in mathematics. So it really does seem to be, you know, kind of a complex set of factors that have something to do with both maybe genetic predisposition to success in math and genetic predisposition to anxiety, but then also the social attitudes and stereotypes about math to which you’re exposed at home that really seem to be coming together to create this anxiety in young children.

Bethany Lockhart Johnson (14:24):

I feel like everything you’re saying is <laugh>…it makes so much sense and yet it’s so often not talked about, right? Because it’s just more like, it gets boiled down to, “Oh, they’re just not a math person,” instead of all these other factors that are at play. And I completely remember the anxiety I felt, whether it was a test or not, walking into my math classroom when I was in ninth grade. And there’s no way I was set up and ready to learn. Right? <Laugh>. And something with—we mentioned Dr. Ramirez, he was talking about validating that anxiety. If teachers validate that like, “Oh, you know what, sometimes you might feel stumped, or this might feel overwhelming.” Even the power in creating space for that in the classroom, right? And acknowledging that it doesn’t—math doesn’t have to “come easy” to you in order for you to have access or make sense, is such a powerful concept. And I love the way that you are looking at all these different factors and saying, “Hey, it’s both simple and also a lot more complicated than we’re we’re making it.” Right?

Dr. Erin Maloney (15:36):

No, and I agree with that sentiment so much. Like, I think, though—one thing I will sort of caution is that I think when teachers are validating the anxiety, or when parents are validating the anxiety, I think there’s a very fine line that needs to be walked where we need to be able to say, you know, “It’s OK to struggle with something. That’s, that is completely OK.” And as we’re, you know, as we’re working towards something that’s really valuable, right? We can, we can work hard at something and by working hard at it, we’re going to get better. And I think that type of validating is really, really important and valuable. I think what we wanna be careful of is not to say things like, “Oh, it’s OK. I also never loved math.” And, you know, “Oh, I was never a math person either.” And so even though we might be bringing comfort to the the child, I think that that’s sending the wrong message. And so sometimes it’s really well intentioned and really not great—

Bethany Lockhart Johnson (16:37):

A hundred percent.

Dr. Erin Maloney (16:38):

—in terms of the messaging. So that’s the only…so just for people listening, the only sort of caution that I would give there is that I think there’s nuances to the validating of the feelings that are important.

Bethany Lockhart Johnson (16:50):

I am so glad you said that because as a kindergarten teacher, I vividly remember—and this is as early as, you know, the kids are five years old, right?—and I remember in a parent-teacher conference, a parent saying, “Oh, I wasn’t a math person either,” or, “Oh, no, ugh.” And they were so quick, like you said, they wouldn’t say that about reading, but they were so quick to talk about their lack of natural math aptitude, right? And, and it was really interesting because you know that even if they’re not saying that specific thing at home, those attitudes are absolutely carrying over at home. And they’re absolutely carrying over to, to how they interact with their kiddo around math and around what’s happening in the conversations about math. And I felt like a lot of times my work as a teacher was also to help support parents through their own math anxiety, and help give them some new language for how they can talk about math. And that math is more than just getting to an answer quickly. Like, let’s talk about, let’s go on math walks, let’s go on number walks, what numbers are around the home? Or oh, is that bigger than this? Do you have more of this? And even those little things, I, my hope was that it was starting to shift the conversation around what math was possible in the home, particularly when you saw that it was the parents who had palpable math anxiety. Right? And how much you know that that’s gonna impact what’s happening when you sit down to do homework together.

Dr. Erin Maloney (18:22):

Yeah. And I love that you have worked to encourage parents to do that. So we do similarly. Like even from a research perspective, where I will often give talks to parents and teachers and we talk about the idea of trying to mathematize everything, right? So just the idea that math is absolutely everywhere, and you know, whether it’s a matter of playing games in the car with your kids where you’re thinking of a number and it’s “My number is higher than 42, but lower than 80, and what number do you think I might be thinking of?” And, and gradually trying to get the child to that number. Or, you know, asking questions like, “What’s your favorite even number and why?” And just little things like that that, that I think can make math fun for kids, that help—I don’t even know how to explain it, but just that idea of bringing joy into it, so it’s not always this heavy subject that kids have to come to. So we definitely try to talk to parents about the idea of, like I said, mathematizing everything. And usually it’s well-received, ’cause often parents find it empowering, right? They’re like, “Oh, well, I could do that! But like, that’s not math!” And you’re like, “No, but it is.”

Dan Meyer (19:33):

Yep.

Dr. Erin Maloney (19:34):

Like, it is! And sometimes parents will say like, “Well, I don’t know how to do fractions.” And you’re like, “OK, but how do you bake?” “Well, I don’t know! I just, like, I know how to do those fractions!” And you’re like, “OK, but that’s the starting point. Let’s work with that.” Like, let’s, you know. And I think a lot of times, it’s reminding the parents that they’re actually far more capable than what they think they are, despite the fact that maybe they struggled with math when they were younger.

Dan Meyer (19:58):

Yeah. This is so interesting. And I feel like part of the challenge around conversations about anxiety and math and how to, how to resolve it and where it comes from, is that it, like, it presupposes a single definition of math. And so, you know, we’re talking about like how to be more mindful about math. But you know, like if kids were walking every day through a treacherous street, you know, the solution might not be become more mindful about that street. It’s just like, we gotta fix the treacherous nature of the street, really. You know, I love that we’re talking also about redefining what math is, making it more playful. That feels like a super-important component here. I’d love to know more about what you know about the role of gender in all of this. Are there differences in the way boys and girls experience math anxiety and how it relates to achievement in math?

Dr. Erin Maloney (20:48):

Yeah, so, there’s really, really interesting research on gender in math anxiety. So in general, we find that girls tend to experience more anxiety about math than boys do. So one hypothesis is that it has to do with just social stereotypes that, you know, girls are, are good at reading; boys are good at math, kind of thing. So there’s some evidence to suggest that that might be playing a role. There’s other evidence to suggest as well that maybe boys actually do experience as much anxiety, they just don’t really own up to it.

Dan Meyer (21:20):

Ooh, yikes.

Dr. Erin Maloney (21:21):

So thoughts are, you know, there’s a bit of an apprehension for males to admit experiencing the anxiety. But I think one of the things that is extremely interesting about it—at least to me—is that we don’t tend to see gender differences in young children. So in early elementary school, even though we’ll see that kids as young as six years old will experience anxiety about math, and that that anxiety is related to how well they do in math and how much they enjoy math, it doesn’t seem to vary as a function of gender at that young age. It doesn’t seem to be related to gender until kids are at about sixth, seventh grade that we really start to see this gender difference coming online. And so that, to me, suggests that it’s probably something more social than biological at play. It probably has something more to do with these stereotypes and stuff. But another really interesting—or at least, I’m biased, but to me—another really interesting line of research that comes into play—and some of this is stuff out of my own lab—so we know that boys in general tend to do better at spatial processing than girls. And we know that spatial processing is really important for math, right? So math and space are pretty connected. And by spatial processing, I mean things like being able to picture something rotating in your mind or, you know, envisioning how these puzzle pieces might fit together. And so we know that boys tend to do better at that type of processing. And the gender difference there seems to be related to gender differences in math anxiety. So there’s some speculation, too, that it might be that as the math starts to become more reliant on spatial processing, that that’s when we see this separation between boys and girls with respect to how much anxiety they feel about math. So a lot of this is to say, I think the answer to the gender question right now is what I think what we would officially call a bit of a hot mess, <laugh> where I think there’s probably more questions than answers. But I think that there’s definitely something going on. And it really seems to be coming on later in elementary school.

Dan Meyer (23:32):

That’s a refreshingly honest admission from a social scientist, that it’s a hot mess and not perfectly clear, <laugh> so I appreciate that. It’s interesting what you said about the spatial reasoning. In our work creating curriculum at Amplify, I find we lean a lot on trying to tie abstract math towards spatial topics. Like, can you estimate a quantity before you calculate it? Can you identify a pattern and where it breaks before you prove it abstractly? And, I dunno, it’s just interesting to me. I’m just thinking out loud about how I feel like math becomes more abstract rather than more spatial. The farther you venture into secondary math…I’m wondering if I misunderstand what you’re meaning by spatial, and the progression of math from K–12.

Dr. Erin Maloney (24:20):

Yeah, so I think you can still have—you can have math be abstract, but still really relying on spatial processing. Right? And I think part of that is maybe a bit of us having different definitions of when we say “spatial.” So in cognitive science, when we talk about spatial representations or spatial reasoning, it’s really like anything you’re picturing in your mind, any time you’re really picturing these things in your mind and manipulating those images at all. So if you imagine, even like at a simple level, but it’s gonna hold when you’re going more complex as well. So doing like equivalence problems, for example, where you have to balance the equations.

Dan Meyer (24:58):

Yeah.

Dr. Erin Maloney (24:59):

Even just being able to envision things kind of moving around that equal sign and bringing one piece of the equation from this side to the other is actually an extremely spatial kind of reasoning. Right? Or when you’re expanding, that’s actually extremely extremely spatial, despite the fact that it might not feel like it initially. Obviously anything in geometry is going to be very spatial. So I think, in that sense, we would argue that the spatial processing is still playing a pretty important role. But it’s maybe a different type of spatial processing than what we’re seeing at a very early level in elementary school. That said, you can completely disagree with me too. ‘Cause I could also just be wrong, and that’s fair. My kids tell me I’m wrong all the time. So I’m used to <laugh> being told that I’m wrong.

Dan Meyer (25:47):

Well, we’re a bit more deferential on this here show, with our guests. So I would not do that. But it makes sense, what you’re saying about how these are things that you manipulate in your mind, whether they are Xs and Ys or numbers and fractions. These are all things that we manipulate. That ties into differences in this spacial reasoning category, it sounds like, which then contributes to math anxiety. And it does start to feel like there’s a lot going on here, is what it feels like.

Bethany Lockhart Johnson (26:14):

You mean hot mess?

Dan Meyer (26:16):

I meant hot mess.

Dr. Erin Maloney (26:17):

Yeah. <laugh>, I think that’s the technical term, right? I’m pretty sure that’s the technical term for it.

Dan Meyer (26:21):

I didn’t know the citation for it. So I didn’t say it. But I knew who in literature named that. But yeah.

Dr. Erin Maloney (26:28):

I’ll write something at some point.

Dan Meyer (26:30):

We’ll cite Maloney, 2022. Yeah. Yes.

Bethany Lockhart Johnson (26:34):

So I will say that one of my dreams in thinking about this season and last season, but particularly this season, since we’re really getting to talk to some researchers who get to think about this, and have really interesting conversations about it all the time…one of my dreams is that we’re bringing—’cause we do have some folks who are researchers that are listening, right? But then we also have teachers and folks who are in the classroom every day, and parents and caregivers listening. And so I think one of the beautiful things about the way that I hear you talking about it is you’re thinking about the research, but it’s so applicable. Right? And I wonder if there’s anything else you can say around it. I wanna reduce that divide, that gap, between the research that’s happening and then what’s happening with the kiddos and in the classroom and at home. And I don’t know if it’s like a magic wand thing where like <laugh> if there were changes you’d wanna see at a societal level, to try to combat math anxiety, but you see where I’m going. You know, it’s like <laugh>….

Dr. Erin Maloney (27:39):

  1. So I’m gonna answer maybe in two ways. So I think the first thing that I’m hearing from you is that idea of diminishing this divide, right? And so one thing I try to keep in mind, as someone who’s a researcher and working in the lab, I will often be called in to talk to teachers and give professional development sessions. And they often want the sage-on-the-stage academic, that stands up there and tells you the answers to things. And one of the first things that I’m gonna admit when I get up there is, “I am not on the front lines.” So what I do in the lab, for me to tell you that that’s gonna work in a classroom of 30 kids who may or may not have eaten dinner that day, and may or may not have snow pants, and may or not…like it’s–

Bethany Lockhart Johnson (28:23):

Mmm, yes.

Dr. Erin Maloney (28:24):

You know, I think we also need to be a little bit reasonable. So I try really hard in my own program of research to make sure that I’m always talking to teachers and to principals and to curriculum designers to make sure that the ideas that I have make sense. In fact, one of the most recent book chapters that I wrote, I wrote in collaboration with a really good friend of mine who’s a principal, an elementary school principal, and a former math consultant. And we wrote it together, to really say like, “Hey, here’s how we can help each other inform how research can inform practice and how practice can also inform research.” ‘Cause he can come to me and say, “I’m doing this. I can’t find anything in the literature to support this, but I’m sure it works!” And we can design something in the lab to test whether or not it seems like it’s gonna work.

Bethany Lockhart Johnson (29:11):

That’s huge. Yeah.

Dr. Erin Maloney (29:12):

Empirically. And so I think that open communication is massive. One thing that we’re doing in my own lab to try to keep that open communication available. So to anyone listening who’s ever tried to get access to a journal article, they’re held behind paywalls, right? So one, the way it works, my understanding of this anyway, is that the journal owns the formatted version of the paper. So what we do is we put up audio recordings of all of the research papers that we ever publish. So I’m pretty sure I own the words as the author, and the journal owns the prettified version that you can buy. So we audio-record all of our papers, so that if teachers or parents ever want to hear the actual science that’s going into some of these decisions, they have access to at least the stuff that we do in our lab. And we also put up an infographic for every paper, just highlighting kind of the main questions and main findings. And we do that because I think that the only way for the information to actually be useful is if it gets into the hands of the stakeholders that actually need that information.

Bethany Lockhart Johnson (30:21):

And is accessible. That’s huge. That’s huge!

Dr. Erin Maloney (30:24):

Yeah. Yeah. So that’s one way that we try to do it. And like I said, the other thing, we try to always be working with principals and with teachers. I joke that the way that I remedied this in my own life…so my husband’s a teacher; it’s like, I just married one! It’s fine! <laugh> I can grill him on a regular basis, and be like, “I wanna try this experiment. Do you think it’s gonna work?” And he can say, like, “It’s not going to. Here’s why.”

Dan Meyer (30:47):

That’s awesome. Marrying a participant—you know, a research participant—is unethical, of course. Would not clear IRB. But turning your partner into a participant? Like, what are you gonna do? That’s great.

Dr. Erin Maloney (30:57):

Yeah, no, that’s fair game.

Dan Meyer (30:58):

Yep.

Dr. Erin Maloney (30:59):

Yeah. So that’s—I think we we compensate each other <laugh>. So, no…so I do joke a little bit about that. He was a teacher simply ’cause he wanted to be one. Not ’cause I needed him to be one. But, I think that communication part is, is really key. That’s one thing. Then the other part of the question or the other sort of piece of the question that I was hearing is that idea of, how do we fix math anxiety. Right? Like, what’s the great, “I’m glad that there’s a whole bunch of time and effort and energy going into trying to understand this, but what, where are we at?” And I think with that, it’s really, really promising. So there’s been a lot of research coming out looking at how best to help children or even adults manage their own anxiety about math. And there’s a few really interesting strategies that seem to be quite effective. So one, and I don’t know if—um, it feels weird calling him Dr. Ramirez, just ’cause I know him well!—but I don’t know if Dr. Ramirez would’ve talked about this when he chatted with you, but he has some really interesting work on expressive writing. Did he chat about that at all?

Bethany Lockhart Johnson (32:07):

He didn’t, but I’ve read some of his work about it and I think it’s so fascinating.

Dr. Erin Maloney (32:11):

Yeah! So, OK, well, I’ll tell you about his work on it.

Bethany Lockhart Johnson (32:13):

Yes, please. Please.

Dr. Erin Maloney (32:14):

Because it’s super-useful. So when we talked about that idea of how anxiety causes these thoughts and ruminations, and they tie up the memory resources that you need, what Gerardo has found is that when you get students to write about their anxiety for about 10 minutes before they do a test, what ends up happening is they end up doing better on the test, relative to if they would not have written about their anxiety at all. And this is particularly true for students who are really high in anxiety. OK? And the idea is that all of those thoughts that they were going to have about the test or the consequences of the test, et cetera, you just kind of get ’em…it’s like a mind dump where you get ’em all onto the page at first before you even go to do the test. And now when you go to do the test, you’re not having to do two things at once. You’re no longer dealing with these thoughts ’cause you got ’em all out on the paper beforehand. And so Gerardo has some really interesting work showing that that works for math anxiety. And then it also works for just testing anxiety in general. And so that’s a strategy that I love. I also—part of what I really love about it is it’s so low-cost, right? You need a paper and a pencil and it’s great. So those are always my favorite strategies, the ones that don’t really cost us anything. So that’s one way of dealing with like the cognitive part of the anxiety. The other thing you can do is try to deal with the anxiety part of the anxiety. So for that, what we find is that the typical strategies that you’re gonna see for anxiety tend to work for math anxiety. So things like focused breathing. Right? Making sure you’re doing deep inhales and exhales. That really diaphragmatic breathing seems to be quite helpful. We know that what we call progressive desensitization is really key. That’s the idea of doing things, you know, starting with the questions that you know how to handle. And then gradually working up to the more difficult questions. So you’re sort of gradually exposing yourself to the more complex stuff. And how that can play out on an actual test at school is, you sit down, and instead of just starting with question number one, you actually read the whole test, see which questions you feel like you know the best, start with those questions, and that helps build your confidence so that you’re better able to tackle the questions that are maybe a little bit outside of where you’re currently at. So that seems to be really helpful. The other part that I will say, too, that’s extremely helpful: So we know that anxiety really ties up those memory resources. And so the more you can make the math automatic, the more immune it’s going to be to anxiety in the moment. And so I know that this part can be a little bit controversial, because we don’t wanna necessarily demotivate children, and kill the enthusiasm for math that we’re trying to cultivate…but really, you know, really committing your arithmetic facts to memory can be extremely helpful. So really learning those times tables, really learning your addition and subtraction facts. ‘Cause what happens is, then when you’re in a situation where you need that information, even if you’re anxious and you’re working with fewer cognitive resources than what you would normally have, you actually don’t need that many cognitive resources to be able to pull something from memory that you’ve memorized. So it really helps to kind of protect you against some of the negative impacts of the anxiety while you’re doing that test.

Bethany Lockhart Johnson (35:37):

And you’re not using all your cognitive resources to figure out seven times eight, because you can really focus on what you’re trying to do with that. Oh, that’s fascinating. Yeah. Yeah.

Dr. Erin Maloney (35:47):

Yes. No, a hundred percent right. And so I know that’s one that, like I said, I know it can be somewhat controversial because it’s…you know, we’ve talked about—or we haven’t talked about in this conversation, but we often talk about—the idea of drilling and killing. Right? So you drill the facts, you kill the, the enthusiasm. But I think that there are ways that we can drill arithmetic facts, or help make them automatic, but still fun, right? It doesn’t have to always be in a high-pressure kind of way.

Bethany Lockhart Johnson (36:16):

Totally. And we’ve talked about fluency, and I’m sure we’ll talk about it more in the Lounge. And that is interesting, that link between anxiety when the fluency isn’t there, that—or, of course we hear about anxiety with timed tests, but the idea of that IS something you can do to reduce it, because you have those facts just at your ready. Right?

Dr. Erin Maloney (36:37):

Yeah. So I actually, again, I’m gonna be a little bit controversial. So I don’t hate timed tests in the way that a lot of people do. But I love time to practice. So I think once we’ve got to a point where children have a fairly decent understanding of skills, of a skill, once they’ve got a fairly decent grasp on it, then I love the idea of the timed practice. So it can be still in a low-pressure situation, where in many ways it doesn’t matter if you get the answer to the question correct. But we’re practicing doing it in a situation in which you might be feeling a little bit of pressure, but it’s not real pressure, if that makes sense. And I think that can be really, really useful for students. And again, it can be done in a fun way, right? It doesn’t have to be these super-intense ways. It can be fun. But I think that in life there are situations in which the time that it takes you to complete a problem matter. And I think that we have to make sure that we don’t get too far away from that.

Dan Meyer (37:40):

Yeah. It feels like we should do an entire other episode thinking about ways to develop that fluency and automaticity that don’t contribute to anxiety, or create further disparities between people who are high math anxiety and low math anxiety. Not a small question, I’m sure. And I appreciate you alluding to all of that. You know, this whole thing, as you said, is quite the hot mess. And I feel like you, Dr. Maloney, have helped us make this a little less messy, in our heads, and hopefully the listeners’ heads. I really appreciate that. I just love…you’ve mentioned lots of resources that you have. You’ve alluded to them: audiobook-style readings of your research, which I need ’cause I just finished, you know, Harry Potter, the seventh book, so I need a new thing to listen to like that. Also infographics. Can you tell our listeners where they can find this work of yours, and if there are any other kinds of resources that you wanna plug for our listeners here?

Dr. Erin Maloney (38:32):

Yeah, for sure. So all of our resources can be found on my lab website. So the address for that is www.ErinMaloney.ca. So there we have, like you said, the infographics and the audio articles and all that stuff. And then we also have a link to a new kids’ book out, actually, that a colleague of mine and I have published recently, that really walks through some of these strategies on combating math anxiety. The book is written as a children’s book, so it’s Peyton & Charlie Challenge Math. But it secretly is a book that would also work for adults. So if you are a parent that’s a little bit anxious about math, or a teacher that maybe is a little bit anxious, and you wanna see how some of these strategies can play out, in that book—we linked to it on the website, but it is available for purchase on Amazon. And the one thing I will say about the book, ’cause this is something that we were pretty proud of, so Sheri-Lynn Skwarchuk, who is a school psychologist, and I wrote the book. And it’s available for purchase at our cost price, so we don’t actually make any money on the book. It was literally just a way of getting some of the science out to people who might be able to benefit from it.

Bethany Lockhart Johnson (39:45):

Reducing that divide!

Dr. Erin Maloney (39:46):

Yeah, well that’s what we’re trying to do! Right? So I think in the U.S., I think it’s like $6 on Amazon. And then in terms of other resources, we’re in the process right now of creating some informational videos and and stuff like that that hopefully will be useful for parents and for teachers, just in terms of understanding a little bit more about the anxiety and understanding how to deal with the anxiety in the classroom more, at home or wherever it might be coming up.

Dan Meyer (40:15):

Well, thanks so much. I really appreciate—we appreciate!—you coming on, and hearing about how you’re trying to bridge so many different barriers from research to practice, and school to home. It’s just really inspiring. And we’d love to have you back on sometime. So thank you so much for joining us.

Bethany Lockhart Johnson (40:29):

I feel like we’ve just hung out! Don’t you, Dan?

Dan Meyer (40:31):

Are we rolling here? Oh my gosh, we’re rolling. I just thought we’re just hanging. Yeah,

Bethany Lockhart Johnson (40:34):

I thought we were just hanging!

Dr. Erin Maloney (40:36):

I know, I do, I really appreciate that it has a very kind of chill vibe to it.

Dan Meyer (40:41):

Chill vibe. Like a lounge.

Bethany Lockhart Johnson (40:42):

It’s the lounge!

Dan Meyer (40:43):

Thank you. You get us; you get us. <laugh>

Bethany Lockhart Johnson (40:45):

Dan Meyer. I was shopping for children’s books, and there was this book, and it was talking about being at home with Mom. And it’s going through all the things that the child did that day with Mom. It’s like, “We played outside, we ran through the sprinklers, we even did some homework.” And it shows them sitting at the table with the homework, that’s clearly math homework, in front of them. And the mom is like, “Harrumph!” Like a very perplexed, anxious face. And there’s all these question marks above her. And it’s just like,

Dan Meyer (41:24):

“There should not be numbers on that paper!”

Bethany Lockhart Johnson (41:25):

Exactly. And the child is like, “Ohhhh,” you know. And I mean, I have to give credit to the illustrator, because they really did capture the clear message of this interaction, which was sitting down to do math homework or think about math together is a source of angst. Right? According to this author and according to too many people. And so I think what’s really important is that we recognize those images when we see them out there and speak back to them, and say, “Hey, wait a second.” Yeah, it can feel like that, and it doesn’t have to. And what’s going on that that’s just the assumed way that it’s gonna feel, to sit down and math together. You know?

Dan Meyer (42:11):

Yeah. It feels like we all have a lot of work to do on the whole math-anxiety front. Dr. Maloney helped us see how parents play a part, educators play a part, society and how they create people plays its own part in how we all define math as a thing where we evaluate student thought or where students play it with their thoughts, has its own huge part as well. So yeah, it was a really fantastic conversation with Dr. Maloney. I hope you folks will check out the show notes, where you will find links to Dr. Maloney’s website. A lot of her work, which as you heard, is very geared towards practitioners and parents and even directly at kids, especially the new children’s book she co-authored, Peyton & Charlie Challenge Math.

Bethany Lockhart Johnson (42:55):

Next time we’re gonna dive even more into the nitty gritty of combating math anxiety. To do that, we’re actually gonna be joined—I am so excited about this—by Dr. Rosemarie Truglio from Sesame Workshop.

Rosemarie Truglio (43:09):

Our core audience are two- to four-year-olds, and they love math. And what’s not to love? Children don’t come with this math anxiety. Math anxiety is learned.

Dan Meyer (43:23):

So excited.

Dr. Erin Maloney (43:24):

Sesame Street was a huge part of my childhood and my toddler doesn’t know it yet, but Sesame Street is coming. It’s coming. Like, we’re we’re gonna introduce Sesame Street to him. We just haven’t yet.

Dan Meyer (43:37):

Sesame Street straight raised me.

Bethany Lockhart Johnson (43:38):

Right?

Dan Meyer (43:39):

Yeah. Don’t tell my parents. But that’s, yeah, that’s true. I’m excited, too. It’s gonna be a blast.

Bethany Lockhart Johnson (43:45):

I’m really excited. I think that the more we dive into this topic—which, again, we’re gonna look at math anxiety from a lot of different angles—and I’m excited to talk to Dr. Truglio about how we can take this research and these conversations that are happening about math and how it can actually impact what’s happening in homes. ‘Cause we wanna help create positive relationships with mathematics, with kids in math. I’m so excited. And I hope you folks keep listening. We love having you here in the Lounge. And if you haven’t already, please subscribe to Math Teacher Lounge, wherever you get podcasts. And if you like what you’re hearing, please leave us a rating and a review. It helps more listeners to find the show, and let other folks know about this show. Recommendations are great. Thanks so much for listening.

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What Dr. Erin Maloney says about math

“If we can change their mindset, then we can set students on a path to more opportunities and success.”

–Dr. Erin Maloney

Associate Professor in the School of Psychology, Director of the Cognition and Emotion Laboratory, and the Canada Research Chair (Tier II) in Academic Achievement and Well-Being, all at the University of Ottawa

Meet the guest

Erin Maloney is an Associate Professor and Canada Research Chair at the University of Ottawa. Her research sits at the intersection of Cognitive Psychology, Developmental Psychology, and Education and focuses on cognitive and emotional factors that relate to academic achievement. She is a world-renowned expert on the study of math anxiety, conducting research in the lab, in homes, and in classrooms with children, parents, and their teachers. She is passionate about both knowledge mobilization and equity, diversity, and inclusion within education and science.

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About Math Teacher Lounge

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

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Winter Wrap-Up 03: Ideas to build math fluency

Promotional graphic for "Math Teacher Lounge" episode featuring Valerie Henry, Ed.D., on ideas to build math fluency, with a photo of Valerie Henry in the bottom right corner.

Join us for the third episode in our Winter Wrap-Up! In this episode from season 3 of Math Teacher Lounge: The Podcast, we sit down with Dr. Valerie Henry to talk about math fluency and what that means for students. Listen as we dig into the research, hear Val’s three-part definition of fluency, and explore her five principles for developing it.

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Dan Meyer (00:03)

Hey folks. Welcome back. This is Math Teacher Lounge, and I am one of your hosts, Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I’m your other host, Bethany Lockhart Johnson. Hi, Dan.

Dan Meyer (00:11):

Hey, great to see you. We have a big one this week to chat about and some fantastic guests. We are chatting about fluency, which is the sort of word and concept that I feel like people have very, very non-neutral associations with it. A lot of them are very negative, for a lot of people.

Bethany Lockhart Johnson (00:26):

I saw you frown a little. What’s up with that, Dan? You kind of, like, shrank.

Dan Meyer (00:30):

I have strong feelings about it. You know, there’s lots of ways that people go about helping people become fluent in mathematics. And a lot of them are harmful for students, and ineffective. And it got me thinking about fluency as it exists outside of the world of mathematics, where we have a lot of very clear images of it. We’re getting fluent in things all the time. Like, as humans. Human development is the story of fluency. And I just was wondering….Bethany, would you describe yourself as fluent at something outside of the world of mathematics? What is that? How’d you get fluent at it? What was the process?

Bethany Lockhart Johnson (01:05):

Hmm, I think I’m a pretty fluent reader. I read all the time. I’m a happier person if I’ve read that day. I once saw this poster in a classroom; it said “10 Ways to Become a Better Reader: Read, Read, Read, Read, Read…you know, 10 times. Get it? Reading? You get better at reading by reading! So I would say reading. And it’s been kind of cool—I have a one-year-old who, it’s been really exciting slash overwhelmingly anxiety-producing to see him get very fluent with walking slash running, ’cause he’s getting faster every day. And it’s kind of fun. When I think of what’s something somebody’s trying to get fluent with…walking! He’s trying to be more fluid. He’s practicing transitions. He doesn’t wanna hold my hand while he traverses rocky terrain. He’s getting better at it. He’s practicing. What about you? What’s something…?

Dan Meyer (02:08):

I think about driving a lot. I’m a very fluent driver and I think a lot about when I was first a driver, you know? And how l have my hands on 10 and 2, vice grip, and do not talk to me; do not ask me anything; don’t ask me my NAME. I need to focus so hard. And then a year later, you know, I’m driving with one hand, smash the turn signal, take a sip off of whatever, change the CD. And then it’s no big deal.

Bethany Lockhart Johnson (02:38):

Wait, did you pass the first time? Your test?

Dan Meyer (02:40):

Yeah, I don’t like to brag about it. <laugh> But I do all the time. <laugh> But I got a hundred on my driving test. I don’t care who knows it. And I hope it’s everybody. But I guess all of this is just to say there are areas of life where fluency feels natural, with the case of walking. There’s areas of life where fluency feels motivating, with like driving—I wanna be able to switch the CD out or whatever. And there’s areas where fluency feels terrifying and hard to come by, like mathematics, sometimes. So we have a set of guests here. Our first guest will help us figure out what do we mean by fluency? And what’s the research say about what fluency is and how students develop it in mathematics? And then our other guests will help us think about what it looks like in practice in the classroom. What are some novel, new ways to work on fluency? So first up we have Val Henry, Dr. Val Henry.

Bethany Lockhart Johnson (03:32):

So we knew we needed help with the fluency definition, because when we think about it, it’s kind of big, right? And we wanted to look at what research about fluency really says. So we called on Valerie Henry. Val is a nationally board-certified teacher, taught middle school for 17 years, and since 2002 has worked with undergraduates graduates, credential candidates as a lecturer at the University of California, Irvine, one of my alma maters. So after doing her dissertation on addition and subtraction fluency in first grade, Val created a project to study ways to build addition and subtraction and multiplication and division fluency while also developing number sense in algebraic thinking. And the pilot grew and grew over the last 18 years into a powerful daily mini-lesson approach to facts fluency called FactsWise. And when we thought of fluency, the first person I thought of was Val. Welcome, Val Henry, to the Lounge! I’m so excited to have you here. Welcome.

Valerie Henry (04:36):

Thanks, Bethany. And thanks to you, Dan. It’s great to be here today.

Dan Meyer (04:41):

Great to have you; help yourself to whatever you find in the fridge. The names that people write down on those things in the bags are just recommendations. It’s potluck-style here. I’m curious, Val, if you’re, like, on an airplane, someone asks you what you do, and you say you study fluency…what is the layperson’s definition of what does it mean to be fluent in mathematics? And if you can give a brief tour through what the research says about what works and what doesn’t that would really help us orient our conversation here.

Valerie Henry (05:12):

The first thing I have to do when I talk to somebody on a plane is define the idea of fluency. And I often use an example of tying your shoelaces. Because that works with first graders as well as adults. This idea that when we first start trying to put our shoes on and get those shoelaces tied, somebody tries to, first of all, just do it for us. But then of course maybe tries to teach us the bunny-ears approach. And we struggle and struggle as little kids and eventually either the bunny-ears approach or something else starts to work for us. But we still have to pay attention to it. We have to think hard and it’s not easy. And then over time we get to the point where we basically don’t even think about it. When I tie my shoes in the morning. I’m not thinking about right-over-left and left-over-right and all of those things. I just do it. And so that’s a good, easy example of becoming fluent with something. I think what we’re talking about today though, is the basics, the adding and subtracting that we hope kids are going to have mastered maybe by second grade, and the multiplication and division facts that we wanna maybe have mastered by third, maybe fourth grade. So now what does that mean to become fluent with those basics? I have a three-part definition that seems to match up really nicely with the common core approach to fluency. Which is, first of all, we want the answers to be correct. And then second, we want the answers to be easy to know. And so what does that mean? Well, to me, it means without needing to count,

Bethany Lockhart Johnson (07:12):

You mean without having to kind of muscle through it? Or say more about you mean.

Valerie Henry (07:16):

Well, I guess what I mean is that when you watch a young child try and solve something even as simple as two plus three, they might put up two fingers and then go 3, 4, 5 with three more fingers winding up on their hand, one or the other of their hands. While they’re doing that, they don’t really have a sense of whether even their answer is right or not, quite often. Especially when you get to the larger adding and subtracting problems, you can see a lot of errors happening as they’re trying to count. And it’s taking up cognitive energy to do that counting process, especially as you get to the larger quantities. So my definition of fluency now is “getting it right without needing to do that hard work like counting.” Now, some people might say, well, we just want them to have ’em memorized. But in my research, I’ve learned that a lot of very fluid adults don’t always have every fact memorized. In fact, if you ask a room full of adults, what’s seven plus nine, you might learn that they can all get it correct quickly, quickly…but they don’t all have it memorized. And so when you ask them, “How did you get that?” Many of them will say, “Well, I just gave one from the 7 to the 9 and I know that 10 plus 6 is 16.”

Bethany Lockhart Johnson (08:53):

That’s such an important distinction. My brain literally just did that actually!

Valerie Henry (08:58):

<laugh> Right? <laugh> But you’re fluid with it, because it doesn’t take you much cognitive energy at all.

Bethany Lockhart Johnson (09:05):

Right.

Valerie Henry (09:07):

So now we have “correct without needing to put that cognitive energy,” which usually means that you’re counting. And then the third thing is “relatively quickly,” so that you’re not spending 15 seconds trying to figure it out. Even that part-whole strategy approach can be done really quickly, almost instantaneously. Or it can take a long time. So if a student can get the answer correct within, you know, three or four seconds— is I’m pretty generous—I figure that they’re pretty darn fluent with that fact. So that’s my three-part definition of these basics, fluency.

Dan Meyer (09:55):

I love the distinction between getting it correct and getting it quick. It’s possible to be quick with wrong answers. It’s possible to be like, “Those are separate components there.” And I echo Bethany’s appreciation for this third option in between knowing it instantaneously through memorization and muscling through it. But there’s like a continuum there of how much energy it took you to come up with it that all feels extremely helpful.

Valerie Henry (10:21):

And you know, one of the things that I’ve noticed is that when kids are pressured to come up with those instantaneous answers, they often default to guessing and get it wrong.

Bethany Lockhart Johnson (10:30):

Mm, yeah.

Valerie Henry (10:30):

So that’s one of the things that I’ve learned is that as we’re trying to help students develop fluency, it’s important to start with building their conceptual understanding of what it means to do, you know, 3 times 9 and what the correct answer is, maybe using manipulatives or representations of some sort. Not skip-counting! I really have found that skip-counting just perpetuates itself in many students’ minds and that they never stop skip-counting, which means they’re putting in not very much mental energy if it’s 2 times 3 but a ton of mental energy if it’s 7 times 8. Because frankly, it’s really hard to skip count by sevens. And by eights.

Bethany Lockhart Johnson (11:18):

I can get to 14 and then I’m like, wait, wait, what was next? Right? No, no, no…21! What do you feel are some misconceptions that maybe teachers, maybe parents have about fluency in math?

Valerie Henry (11:30):

I think maybe one of the first ones is that if students count or skip-count, their answers repetitively over and over and over and over, that they’re bound to memorize them. And the study that I did back in 2004, I actually had a school that had decided that they were going to do time tests with their students every day, all year. And that undoubtedly by the end of the year, those students would be fluent.

Bethany Lockhart Johnson (12:06):

And to clarify by time test, you mean like, sit down, pencil, paper, ready, go, worksheet kind of thing.

Valerie Henry (12:15):

Yes.

Bethany Lockhart Johnson (12:16):

Some of us might remember quite vividly.

Valerie Henry (12:18):

<laugh> Very vividly. And you know, you have to get it done within a certain amount of time. So they made it fun for the students. Apparently the students enjoyed it. I was a little leery about that, but in the end, when I went and checked on the students and I did one-on-one assessments with half of the students in every class that were randomly selected so that I could get a sense of where they were with their fluency—and these were first graders—they basically had nothing memorized. They were simply counting as fast as they possibly could. And, you know, mostly getting the right answers. But they had not memorized. So that’s one of the myths, I think, is that repetitive practice of counting gets you to memorization.

Bethany Lockhart Johnson (13:10):

If I put it in front of you enough times, you’ll become fluent.

Valerie Henry (13:14):

Right, right. Now these students didn’t really get any instruction, any help learning these. They just simply tested over and over and over. So that’s another thing that I think is a misconception. It’s that if we test students, but don’t really teach them fluency, then they’re going to become fluent. If we just test them every Friday or that kind of thing. And that they’ll learn them at home. But really what that means is a few lucky kids who have parents who have the time and the energy and the background to know how to help will take that job on at home. Not that many students are really that fortunate.

Dan Meyer (14:01):

It’s almost like the traditional approach, or the approach you’re describing, confuses process and product. It says, “Well, the product is that eventually fluent students will be able to do something like this, see these problems and answer them, answer them quickly,” and says, “Well, that must be the process then as well; let’s give them that products a whole lot.” But as I hear you describe fluency with bunny ears on shoelaces, there’s these images and approaches and techniques that require a very active teacher presence to support the development of it. That’s just kind of interesting to me.

Valerie Henry (14:35):

My initial project, the pilot project that I tried, was to simply ask teachers to follow five key principles. And the first one was to do something in the classroom every day for—I told them, even if you’ve only got five or 10 minutes, work on fluency for five or 10 minutes a day, and let’s see what happens. So that was one key element was just to teach it and to give students opportunities to get what the research calls for when you’re trying to memorize, which is actually immediate feedback. When I talk about immediate feedback with my student teachers, I say, “I’m talking about within one or two seconds of trying a problem, and then sort of immediately knowing, getting feedback of whether you got the answer right or not so that your brain can kind of gain that confidence. ‘Oh, not only did I come up with an answer, but somebody’s telling me it’s the correct answer.’”

Dan Meyer (15:38):

There’s a lot of apps now in the digital world that offer students questions about arithmetic or other kinds of mathematical concepts and give immediate feedback of a sort: the feedback of “You’re right; you’re wrong” sort. Is that effective fluency development, in your view?

Valerie Henry (15:57):

I haven’t heard and I haven’t seen them being super-effective. The ways I think about this are “Immediate feedback isn’t the only thing we need.” Probably one of the biggest things that we need is for students to develop strategies. And this is one of the other things I’ve learned from international research, from countries that do have students who become very fluent very early, is that they don’t shoot straight for memorization, but they go through this process of taking students from doing some counting and then quickly moving them to trying to use logic. So, “Hey, you really are confident that 2 + 2 is 4; so now let’s use that to think about 2 + 3.” Actually, as an algebra teacher, I would much rather have students that have a combination of memorization and these strategies, than students who’ve only memorized. Isn’t that interesting that my most successful algebra students were good strategy thinkers. Not just good memorizers.

Bethany Lockhart Johnson (17:09):

So you mentioned there were five that kind of helped root this idea in like, “What can teachers do? What is the best thing that teachers can do to support with fact fluency?” So, everyday was key.

Valerie Henry (17:22):

Then the next principle that I really focus on is switching immediately to the connected subtractions so that students—

Bethany Lockhart Johnson (17:33):

Not waiting until you’ve gotten all the way through addition. But making “Ooh!”

Valerie Henry (17:38):

Totally. And I didn’t do that the first year. And when we looked at the results of the assessments at the end of the year, we realized that our students were so much weaker in subtraction than addition. So the following pilot year, we tried this other approach of doing subtraction right after the students had developed some fluency with that small chunk of addition. And we got such better subtraction results.

Bethany Lockhart Johnson (18:11):

What are the other principles?

Valerie Henry (18:13):

The biggest one is to use these strategies. So the strategies makes the third. And then the fourth I would say is to go from concrete to representational to abstract.

Bethany Lockhart Johnson (18:27):

Don’t put away those manipulatives. Don’t put away those tools.

Valerie Henry (18:31):

Oh, so important to come back to them for multiplication and division. And my fifth principle is to wait on assessment. To use it as true assessment, but not race to start testing before students have had a chance to go through this three-phase process. Which is conceptual understanding with manipulatives; building strategies, usually with representations; and then working on building some speed until it’s just that natural fluency.

Bethany Lockhart Johnson (19:07):

I wanna say thank you so much for offering your really learned perspective, because you have not only done the research, but seen it in action and seen how shifting our notions of fluency and what fluency can be and what a powerful foundation it can be for all mathematicians. Really, that shift is so powerful. And I appreciate you sharing it with our listeners and with us. So we’re so excited that we got to talk with you today, Val—

Dan Meyer (19:35):

Thank you, Dr. Henry.

Valerie Henry (19:37):

You’re welcome!

Dan Meyer (19:41):

With us now we have Graham Fletcher and Tracy Zager, a couple of people who understand fluency at a very deep and classroom level. I wanna introduce them and get their perspective on what we’re trying to solve here with fluency. So Graham Fletcher has served in education in a lot of different roles: as a classroom teacher, math coach, math specialist, and he’s continually seeking new and innovative ways to support students and teachers in their development of conceptual understanding in elementary math. He’s the author, along with Tracy, of Building Fact Fluency, a fluency kit we’ll talk about, and openly shares so much of his wisdom and resources at gfletchy.com. Tracy Johnson Zager is a district math coach who loves to get teachers hooked on listening to kids’ mathematical ideas. She is a co-author of this toolkit, Building Fact Fluency, and the author of Becoming the Math Teacher You Wish You’d Had: Ideas and Strategies from Vibrant Classrooms. Tracy also edits professional books for teachers at Stenhouse Publishers, including, yours truly. Thank you for all that insight, Tracy, and support on the book.

Bethany Lockhart Johnson (20:49):

Dan and I were talking at the beginning of the episode about things we feel like, “Hey, I’m fluent in that. I’m fluent in that.”

Dan Meyer (20:55):

Just very curious: What’s something you would like to get fluent in outside of the world of mathematics, let’s say?

Tracy Zager (21:00):

I’ll say understanding the teenage brain, as the parent of a 13-year-old and 15-year-old. That’s the main thing I’m working on becoming fluent in!

Bethany Lockhart Johnson (21:10):

Ooh!

Dan Meyer (21:13):

A language fluency, perhaps. All right, Graham. How about you?

Graham Fletcher (21:16):

For me typing, it’s always been an Achilles heel of mine. So voice-to-text has been my friend. But it’s also been my nemesis in much of my texting here and working virtually over the last couple years. So yeah, typing.

Dan Meyer (21:33):

Do you folks have some way of helping us understand the difference in how fluency is handled by instructors and by learners?

Tracy Zager (21:40):

I would say that the lay meaning of fluency is definitely a little different than what we mean in the math education realm. When we’re talking about math fact fluency, which is just one type of fluency. So you gotta think about procedural fluency and computational fluency; there are lots of types of fluency in math. And Graham and I had the luxury of really focusing in specifically on math fact fluency. We’re looking at kind of a subset of the procedural fluency. So the words you hear in all the citations are accurate, efficient, and flexible. There’s this combination of kids get the right answer in a reasonable amount of time and with a reasonable amount of work and they can match their strategy or their approach to the situation. That’s where that flexibility comes in. And there’s like lots more I wanna say about that about sort of…I think one issue that comes up around fluency is that people are in a little bit of a rush. So they tend to think of the fluency as this automaticity or recall of known facts without having to think about it. And that is part of the end goal, but that’s not the journey to fluency. So this is one of the things that Graham and I thought about a lot was the path to fluency. The goal here it’s that student in middle school who’s learning something new doesn’t have to expend any effort to gather that fact. And they might do it because they’ve done it so many different ways that they’ve got it, and now they just know it, or they might be like my friend who’s a mathematician who still, if you say, “Six times 8,” she thinks in her head, “Twelve, 24, 48…” and she does this double-double-double associative property strategy. And it’s so efficient, you would never know. And that’s totally great. That’s fine. That’s not slowing her down. That’s not providing a drag in the middle of a more complex problem or new learning. So we’re really focused on having elementary school students be able to enter the middle and high school standards without having that pull out of the new thinking.

Graham Fletcher (23:53):

And as I think about that, I think about how so many students will memorize their facts, but then they haven’t memorized them with understanding. So that when they move into middle school and they move into high school, it’s almost like new knowledge and new understanding that’s applied from a stand-alone skill.

Bethany Lockhart Johnson (24:10):

So something that felt really unique to me, Graham, as I was diving into the toolkit, is your use of images, Tracy, Graham, is the way that you use images to help students notice and wonder to start making sense of these quantities and the decomposition of numbers using images. Can you talk a little bit about how images played a part in the way that you think about this building a fact fluency?

Graham Fletcher (24:41):

What I realized is so many times when we approach math with just naked numbers with so many of our elementary students, the numbers aren’t visible. The quantities. They can’t see them; they can’t move them. They’re just those squiggly figures that we were talking about earlier on. So how is it that we make the quantities visible, to where students feel as if they can grab an apple and move it around? Because a lot of times we start with the naked numbers and then if kids don’t get the naked numbers, then we kind of backfill it. But what would happen if we start with the images? And then from there, these rich, flourishing mathematical conversations develop from the images. And I think that was the premise and the goal of the toolkit.

Tracy Zager (25:22):

When you look at how fact fluency has traditionally been taught, it’s all naked numbers. And sometimes we wrote ’em sideways. Like, that’s it. That was our variety of task type. Right? Sometimes it’s vertical; sometimes it’s horizontal. And that was it. And I’ve just known way too many kids who couldn’t find a hook to hang their hat on with that. It didn’t connect to anything. And so part of why I knew Graham was the perfect person for this project was his strength in multimedia photography, art, video. And so we started from this idea of contexts that for each lesson string in the toolkit, there’s some kind of context. An everyday object, arranged in some kind of a way that reveals mathematical structure and invites students to notice the properties. So we start with images of everyday objects: tennis balls, paint pots…um, help me out; here are a million of them. Crayons—

Bethany Lockhart Johnson (26:18):

Crayons, markers.

Tracy Zager (26:18):

Shoes, right? Sushi, origami paper, all kinds of things in the different toolkits. So there’s a series of images or a three-act task or both around those everyday objects, and then story problems grounded in that context. And then there are images with mathematical tools that bring out different ideas, but relate in some way to the image talks. And we do all of that before we get to the naked number talk. Which we do, and by the time you get to the number talk, it’s pretty quick, ’cause they’ve been reasoning about cups of lemonade. And now when you give them the actual numerals, they’re all over it.

Bethany Lockhart Johnson (27:03):

I have to say too, as somebody who—particularly in middle school—navigated math anxiety, we recently talked with Allison Hintz and Anthony Smith about their amazing book Mathematizing Children’s Literature.

Tracy Zager (27:14):

Yay!

Bethany Lockhart Johnson (27:14):

And I was explaining, like, if I sat down at the beginning of a math class and my teacher opened a picture book and said, “We’re gonna start here,” I felt my whole body relax. And if we start with this image, if we start with just looking at an image and making sense of an image, I feel like that could be such a powerful touchstone for all the work you do from there.

Tracy Zager (27:41):

That’s core. That’s a core design principle, is that invitational access. There are no barriers to entry. There’s nothing to decode. There’s nothing formal. We’ve been learning from Dan for years about this, right? Of starting with the informal and then eventually layering in the formal. I was in a class in Maine where they were doing an image talk and it’s these boxes of pencils. It’s a stack of boxes of pencils and they’re open and you can see there are 10 pencils in each box. And so there are five boxes of pencils each with 10 pencils in it. And then the next image is 10 boxes of pencils and each box is half full. So now it’s 10 boxes each with five. And the kids are talking and talking and then the third image, I think there are seven boxes each with 10 pencils in it. And she said, “What do you think the next picture’s gonna be?” And this girl said, “You just never know with these people!” <laugh> I dunno!”

Bethany Lockhart Johnson (28:37):

That’s kinda true. Knowing you both, it’s kinda true.

Tracy Zager (28:42):

Like if it’s seven boxes with 10 in it, one kid said, I think it’s gonna be 14 boxes of five. And other kids are like, I think it’s gonna be 10 boxes with seven. And they start talking about which of those there are and the relationships between—

Bethany Lockhart Johnson (28:58):

But they’re making sense of numbers!

Tracy Zager (28:59):

Totally. So all the kids felt invited. They can offer something up. They’re noticing and wondering about that image. They’re talking about it in whatever informal language or home language that they speak. And that was core to us. That was a huge priority, because honestly, one of the motivations to talk about fluency is that it’s always been this gatekeeper. It has served to keep kids out of meaningful math. Particularly kids from marginalized or historically excluded communities. So they’re back at the round table, doing Mad Minutes, while the more advantaged kids are getting to do rich problem solving. And so, we thought, what if we could teach fact fluency through rich problem solving that everybody could access? That was like square one for us.

Bethany Lockhart Johnson (29:45):

That’s huge.

Dan Meyer (29:46):

That’s great to hear. What’s been helpful for me is to understand that students who are automatic, that’s just kind of what’s on the surface of things. And that below that might be some really robust kind of foundation or scaffolding that bleeds to a larger building being built, or it might be just really rickety and not offer a sturdy place to build farther up. It’s been really exciting to hear that. I wonder if you’d comment for a moment about, in the digital age and—I’m at Desmos and our sponsors are Amplify and we all work in the digital world quite a bit. There are a lot of what report to be solutions to the fluency issue, to developing fluency in the digital world. Just lots and lots of them. Some that are quite well used, others that are just like X, Y, or Z app on the market. You can find something. Do you have perspectives on these kinds of digital fluency building apps? Like, what about them works or doesn’t work? Let us know. Graham, how about you? And then Tracy, I’d love to hear your thoughts too.

Graham Fletcher (30:47):

Yeah, I think that’s a great question, ’cause there’s a lot of shiny bells and whistles out there right now that can really excite a lot of teachers. But I always come back to what works for me as a classroom teacher is probably gonna work in a digital world as well. So what are the things that I love and honor most about being in front of students, and how can I capture that in that virtual world? I think one of the things that really helps students make connections is coherence. I think coherence, especially when you leave students for—you don’t get to talk with them after the lesson is done—so I think about how we can purposefully sequence things through a day-to-day basis. I think coherence is something that gets really lost when we talk about fluency, especially with whether it be digital or whether it be print, because what ends up happening is we say, “OK, we have all these strategies we need to teach,” and it becomes a checklist. So how is it that we can just provide students the opportunity to play around in a space, whether it be digital or in person, but in a meaningful way that allows them the time and the space and that area to breathe and think, but be coherent. And connecting those lessons along the way. And I think coherence is one thing that a lot of the times it’s harder to—when we’re in the weeds, it’s so hard and difficult to zoom back out and say, “Do all these lessons connect? How do they intentionally connect? And how do they purposefully connect?” And without coherence, everything’s kind of broken down into that granular level. So when looking at—I think about Desmos and I think about the Toolkit and I think about how Tracy and I talked a lot about, “Well, this, does it connect with the context problem, does it connect with the image talk, or the lessons? Like, how does it all connect and how are we providing students an opportunity to make connections between the day-to-day instruction and lessons that we tackle?”

Tracy Zager (32:44):

I’m reminded of a conversation that Dan, you and I had a long time ago, in Portland, Maine, in a bar. I’ll just be honest. <laugh> And we were talking about how, in the earlier days of Desmos, you were stressed out by what you saw, which was kids one-on-one, on a device, in a silent room. And you were like, no, this is not it. This is not what technology is here to serve. We can do so many things better using technology appropriately, but we can’t lose talk and we can’t lose relationships and we can’t lose formative assessment and teachers listening to kids and kids listening to each other and helping each other understand their thinking. Right? So when I think about the tech that’s out there for fact fluency, most of it is gonna violate all rules I have around time testing. So that a whole bunch of it, I would just toss on that premise. They’re really no different than flashcards. It’s just flashcards set in junkyard heaps. Or, you know, underground caverns. Or with a volcano or whatever. It’s the same thing. There are some lovely visuals—I’m thinking of Berkeley Everett’s Math Flips. Those are really pretty. Mathigon has some really nice stuff that’s digital. And I think that those resources invite you to kind of ponder and notice things and talk about them. All the tools that we design in the toolkit are designed to get people talking to each other, and give teachers opportunities to pull alongside kids and listen in and understand where they are. For example, our games, we didn’t design the games to be played digitally, even though you could, and people did during COVID, because we want kids on the rug, next to each other, on their knees; I’ve seen kids like across tables. I was in a school recently where a kid was like, “I hope you believe in God, ’cause you’re going…!” You know what I mean? <laugh>. Like they’re all pumped up.

Bethany Lockhart Johnson (34:41):

They’re invested!

Tracy Zager (34:45):

They’re psyching each other up and down and they’re interacting and it’s social and the teacher’s walking around and she’s listening to the games. And they don’t actually need any bells and whistles. They need dice and they need counters and they need this game that is actually a game. In all of our conversations, games have to actually be games. Games cannot be “roll and record.” Games have to involve strategy. They have to be fun. So in designing those games, we didn’t feel like it brought any advantage to make that a digital platform. But things that did bring advantages digitally, like the ability to project these beautiful images or to use short video in the classroom, that really was a value-add that enabled us to do something different in math class than we had done before, and to get kids talking in a different way than they ever had before. When I think about fluency, historically, if you say like, “OK, it’s time to practice our math facts,” you hear a lot of groans. And when I see a Building Fact Fluency classroom and I say, “OK, it’s BFF time!” There’s like a “YEAAAAHHH!” You know? And so that’s what we’re after.

Graham Fletcher (35:47):

It’s all about kids, really, for us. And I think at the heart of it, we made all the decisions with teachers and kids at the forefront of it.

Tracy Zager (35:55):

I know of high schoolers who are newcomers, who have experienced very little formal education, and speak in other languages, are using it as high schoolers, because it involves language and math and all the deep work in the properties and it’s accessible, but it’s also not at all condescending or patronizing. Like we designed it to be appropriate for older kids. So that’s just something that I think we’re both really proud of. One thing we thought a lot about, especially in the multiplication-division kit is how a classroom teacher could use it and a coordinating educator in EL, Title, special education, intervention could also use it because there’s so much in it, that students could get to be experts, if they got extra time in it, using something that’s related and would give them additional practice. So they could play a game a little bit earlier than the rest of the classes. And they could come in already knowing about that game, or they could do a related task. We have all these optional tasks that no classroom teacher would ever have time to teach it all. So the special educator could use it and have kids doing a Same and Different or a True/False, or some of the optional games. And then the work in both special education and general education could connect.

Dan Meyer (37:20):

I just wanna say that this is an area that for so many students, as you’ve said, Tracy, it presents a barrier. It’s a very emotionally fraught area of mathematics. And we really appreciate the wisdom you brought here. And just the care you’ve brought to the product itself. Your knowledge of teaching, knowledge of math, and yeah, especially a love for students feels like it’s really infused throughout Building Fact Fluency. If our listeners want to know more outside of this podcast, outside of the product itself, where can they find your words, your voice? Where you folks at these days? Tell ’em, Graham would you?

Graham Fletcher (37:57):

You can find us at Stenhouse, Building Fact Fluency. And then Tracy and I, currently playing around, sharing ideas a lot on Twitter, under the hashtag #BuildingFactFluency. That’s kind of where we can all come together and share ideas. And then also on the Facebook community, where there’s lots of teachers sharing ideas.

Bethany Lockhart Johnson (38:19):

If you were to ask our listeners like, “Hey, if you wanna keep thinking about this, here’s something you could try or here’s something you could go do,” what could be a challenge that we could share that could help us continue this conversation?

Graham Fletcher (38:35):

Online you can actually download a full lesson string. And a lesson string is a series of activities and resources that are purposefully connected. You can pick one or two of those from the Stenhouse web site, Building Fact Fluency. You can try the game. You can try one of those strategy-based games. You can try an image talk and just see how it goes. And just share and reflect back, whether on Twitter or on Facebook. But it’s kind of there, if you wanna give it a whirl. And as Tracy was sharing, even if you’re a middle-school teacher or a high-school teacher, we really tried to think about those middle-school and high-school students keeping it grade level-agnostic. Just so every student has those opportunities for those mathematical conversations. So download a lesson string and give it a whirl, and we’d love to hear how it goes.

Dan Meyer (39:25):

Bethany and I will be working the same challenge with people in our life.

Bethany Lockhart Johnson (39:29):

Yes.

Dan Meyer (39:29):

Enjoying some fact fluency with people in our homes, perhaps. We’ll see. And we’ll be sharing the results in the Math Teacher Lounge Facebook group. Graham and Tracy, thanks so much for being here. It was such a treat to chat with you both.

Bethany Lockhart Johnson (39:42):

I love learning with you and just helping to shift this idea of fluency into something that can be accessible and powerful and positive.

Stay connected!

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We’ll also share new and exciting free resources for your classroom every month.

What Valerie Henry says about math

“A lot of very fluent adults don’t always have every fact memorized. ”

– Val Henry

Meet the guest

Valerie Henry has been a math educator since 1986. She taught middle school math for 17 years and has worked as a lecturer at University of California Irvine since 2002. After doing her 2004 dissertation research on addition/subtraction fluency in first grade, Valerie created FactsWise, a daily mini-lesson approach that simultaneously develops  fluency,  number sense, and algebraic thinking. Additionally, she has provided curriculum and math professional development for K-12 teachers throughout her career, working with individual schools, districts, county offices of education, Illustrative Mathematics, the SBAC Digital Library, and the UCI Math Project.

An older person with short gray hair and glasses, wearing a blue sweater, is outdoors with greenery and a fence in the background.
Podcast cover for "Math Teacher Lounge" with Bethany Lockhart Johnson and Dan Meyer; bold text on orange and teal semicircle background.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

mCLASS® with DIBELS® 8th Edition is Washington approved!

mCLASS DIBELS 8th Edition and mCLASS Rapid Automatic Naming (RAN) helps teachers identify COVID-related learning loss and literacy needs firsthand through a quick five-minute assessment that can be done virtually or in person. What’s more, it helps teachers take immediate instructional action that’s right for each and every student.

Now that mCLASS has been approved by the Washington Department of Education and the Dyslexia Advisory Council, every district can confidently address student needs and meet the state’s dyslexia legislation.

A teacher helps a young student with a tablet; below, a girl listens attentively. Icons of a book and a puzzle piece appear on colored backgrounds.

What is mCLASS?

mCLASS® DIBELS® 8th Edition and mCLASS RAN is an integrated, gold standard literacy system for grades K–6.

The mCLASS comprehensive system includes efficient one-minute measures, a built-in Enhanced Early Learning Measures screener, teacher-led and student-driven instruction, intervention, and robust reports for teachers and administrators.

With mCLASS, you can say goodbye to cobbling together tools and second guessing the results of other screeners.

A girl sits at a desk reading and writing, with educational words in the background; text highlights mCLASS as a gold standard in early literacy.

University of Oregon

Together with the University of Oregon (U of O), we have made the DIBELS® (Dynamic Indicators of Basic Early Literacy Skills) assessment that you know and love more powerful and user-friendly than ever before.

As the only licensed provider of the digital DIBELS 8th Edition assessment, we make it faster and easier to understand where every student is in their early literacy journey. As an all-in-one universal and dyslexia screener, DIBELS 8th edition gives teachers actionable data with targeted instructional recommendations to ensure all students’ reading needs are met. To learn more about DIBELS 8th edition as a screener for reading difficulties, download the University of Oregon’s “Dyslexia Screening and DIBELS 8th Edition” whitepaper.

Why mCLASS?

It’s a single solution that meets all of the state’s requirements for Early Screening of Dyslexia.

  • It’s a universal early literacy and dyslexia screener with Enhanced Early Learning Measures and a diagnostic tool in one.
  • It allows for real-time assessment and instant scoring as well as offline assessment capabilities.
  • It includes explicit literacy instruction and intervention strategies based on student performance.
  • It’s flexible and can be implemented in a variety of scenarios, including in-person, remote, and hybrid learning environments.
  • It includes a variety of parent notification resources and at-home reading strategies.
  • It’s continually enhanced with new features and regular updates that are made available to our entire user community.
Tablet displaying a student performance table. Columns for assessment times; rows for performance levels. Percentages and student counts are provided in each assessment area and level.

Instant data and action

Quick and actionable reports provide detailed insight into students’ reading development across foundational literacy skills for classroom teachers and literacy specialists, principals and district leaders, and parents and guardians at home.

What’s more, mCLASS® DIBELS® 8th Edition and mCLASS RAN gives you instant results and clear next instructional steps for each and every student.

Enhanced Early Learning Measures

Early intervention is critical. That’s why we help you meet state dyslexia legislation with one single powerful tool—no additional assessment system required.

Our additional measures in vocabulary, spelling, and rapid automatic naming (RAN) address the full range of skills associated with dyslexia risk and help identify students at varying levels of risk for reading difficulties, including dyslexia.

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Assess anywhere

mCLASS has created a collection of resources to help you plan for a variety of assessment scenarios.

Whether your school is engaged in in-person, hybrid, or remote instruction, we know how important it is for teachers and administrators to have a full (and firsthand!) picture of every student’s literacy development.

Personalized practice

Boost Reading (formerly Amplify Reading) is the practice and remediation companion to mCLASS. At its heart, there are three main areas that make Boost Reading a unique and essential supplemental learning program.

  • The program meets all students where they are with powerful individualized instruction and practice.
  • Age-appropriate narratives create a learning experience that leaps off the screen.
  • Research shows Boost Reading improves student performance–particularly among English Learners–reducing the overall percentage of students at risk of reading difficulty.
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Funding

Schools may utilize LAP Funds, Early Literacy Grants, or federal CARES Act funds to purchase assessments to meet Washington’s screening legislation.

Get in touch

Ready to discuss how mCLASS can support your specific needs? Please contact your Amplify Account Executive:

Alicia O’Neil

Senior Account Executive

(425) 890-6103

aoneil@amplify.com

Erin Elfving-Strayhan

Senior Account Executive

(971) 291-9854

estrayan@amplify.com

Kristen Rockstroh

Account Executive

(480) 639-8367

krockstroh@amplify.com

mCLASS® with DIBELS® 8th Edition is Oregon approved!

mCLASS with DIBELS 8th Edition and mCLASS Rapid Automatic Naming (RAN) helps teachers identify COVID-related learning loss and literacy needs firsthand through a quick, five-minute assessment that can be done virtually or in person. What’s more, it helps teachers take immediate instructional action that’s right for each and every student.

A teacher helps a young student with a tablet; below, a girl listens attentively. Icons of a book and a puzzle piece appear on colored backgrounds.

What is mCLASS?

mCLASS® with DIBELS® 8th Edition and mCLASS RAN is an integrated, gold standard literacy system for grades K–6.

The mCLASS comprehensive system includes efficient one-minute measures, a built-in Enhanced Early Learning Measures screener, teacher-led and student-driven instruction, intervention, and robust reports for teachers and administrators.

With mCLASS, you can say goodbye to cobbling together tools and second guessing the results of other screeners.

A girl sits at a desk reading and writing, with educational words in the background; text highlights mCLASS as a gold standard in early literacy.

University of Oregon

Together with the University of Oregon, we have made the DIBELS® (Dynamic Indicators of Basic Early Literacy Skills) assessment that you know and love more powerful and user-friendly than ever before.

As the only licensed provider of the digital DIBELS 8th Edition assessment, we make it faster and easier to understand where every student is in their early literacy journey.

Why mCLASS?

It’s a single solution that meets all of the state’s requirements for Early Screening of Dyslexia.

  • It’s a universal early literacy screener, dyslexia screener, and a diagnostic tool in one.
  • It allows for real-time assessment and instant scoring as well as offline assessment capabilities.
  • It includes explicit literacy instruction and intervention strategies based on student performance.
  • It’s flexible and can be implemented in a variety of scenarios, including in-person, remote, and hybrid learning environments.
  • It includes a variety of parent notification resources and at-home reading strategies.
  • It’s continually enhanced with new features and regular updates that are made available to our entire user community.

Amplify Reading is the proven, adaptive skills practice and remediation companion for mCLASS. Try it for free for the remainder of the school year with a no-cost trial.

Request a free trial today!
Tablet displaying a student performance table. Columns for assessment times; rows for performance levels. Percentages and student counts are provided in each assessment area and level.

Instant data and action

Quick and actionable reports provide detailed insight into students’ reading development across foundational literacy skills for classroom teachers and literacy specialists, principals and district leaders, and parents and guardians at home.

What’s more, mCLASS® with DIBELS® 8th Edition and mCLASS RAN gives you instant results and clear next instructional steps for each and every student.

Dyslexia screener

Early intervention is critical. That’s why we help you meet state dyslexia legislation with one single powerful tool—no additional assessment system required.

Our additional measures in vocabulary, spelling, and rapid automatic naming (RAN) address the full range of skills associated with dyslexia risk and help identify students at varying levels of risk for reading difficulties, including dyslexia.

A child sits at a desk using a laptop. Next to the desk is a bookshelf with books, a fishbowl, and a soccer ball.

Assess anywhere

mCLASS has created a collection of resources to help you plan for a variety of assessment scenarios.

Whether your school is engaged in in-person, hybrid, or remote instruction, we know how important it is for teachers and administrators to have a full (and firsthand!) picture of every student’s literacy development.

Personalized practice

Amplify Reading is the practice and remediation companion to mCLASS. At its heart, there are three main areas that make Amplify Reading a unique and essential supplemental learning program.

  • The program meets all students where they are with powerful individualized instruction and practice.
  • Age-appropriate narratives create a learning experience that leaps off the screen.
  • Research shows Amplify Reading improves student performance–particularly among English Learners–reducing the overall percentage of students at risk of reading difficulty.

A young girl with curly hair sits indoors, looking at a tablet device with a focused expression.

Funding

Schools may utilize Early Literacy Grants or federal CARES Act funds to purchase assessments to meet Oregon’s screening legislation.

Get in touch

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S3-02: How science strengthens literacy and language development

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In our second episode of the season, we continue finding ways that science is overlooked and how it can be better utilized in schools—and as an ally to other subjects!

We sat down with Susan Gomez Zwiep, former middle school science teacher and senior science educator and staff advocate at BSCS Science Learning. She shared past experiences and research that shows the benefits of integrating science and literacy, as well as strategies for applying these ideas in the classroom.

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

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Dr. Susan Gomez Zwiep (00:00):
We started to see this trend of students communicating more in English because they were excited about the science that they had been learning.

Eric Cross (00:10):
Welcome to Science Connections. I’m your host Eric Cross. In this third season, we’re exploring the theme of science as the underdog. And last time around, we delved into the data showing that compared to other subjects, science is often put on the back burner. Now it’s time to explore why it’s so important to change that and how to do it effectively. So over the course of these coming episodes, we’re gonna make the case for science and equip you with data and strategies for advancing science in your own home, school, or community. To kick things off, we’re going to spend a few episodes going in depth on the integration of science and English instruction. We know we need to dramatically improve literacy rates in this country, and as we’ll show in the coming episodes, science can be a key ally in that goal. We’ll also show how language development and literacy instruction can support science. Yes, it can be a win-win, folks. To start out, I’m joined by someone who has been studying science and language development for more than a decade. Dr. Susan Gomez Zwiep is a senior science educator and staff advocate for BSCS Science Learning. On this episode, she talks about her own experience as a middle school science teacher and share some key insights and strategies from the research on integrating science and English language development. Please enjoy this conversation with Dr. Susan Gomez Zwiep.

Eric Cross (01:36):
Welcome to the podcast. Thank you for being here and having this really important conversation. So I’m so glad you can make it, Susan.

Dr. Susan Gomez Zwiep (01:43):
Yeah, I’m excited to be here.

Eric Cross (01:44):
We’re gonna talk all about language development and science. But first I was hoping that you can just kind of set the stage and tell the listeners about yourself and how you came about to studying this specific subject.

Dr. Susan Gomez Zwiep (01:57):
Sure. So I am a California native. I grew up in the San Gabriel Valley and that’s where I started teaching. I have an undergraduate degree in integrated biology from UC Berkeley. And I thought I was gonna go be a field scientist. And while I was waiting for grad school applications to run their course, I took a substitute job in Montebello to kind of bide my time. And because I had a science degree, they asked if I would take a permanent placement, well, a temporary permanent placement. And I said sure. And found myself teaching seventh and eighth grade general science to a population that at the time was about 68% English language learners, in a school that you would consider urban, under-resourced with a community that was large percentage immigrants from Mexico, Central and South America. And I never looked back. I kept that job.

Dr. Susan Gomez Zwiep (03:04):
I loved it. I love the middle school classroom. I love teaching science to my middle school students and truly, truly just found a really good home for my love of science, but also my love for talking about science and helping other people understand science. So at some point I was entertained with the idea of going to graduate school. So while I was still teaching, I actually did a Ph.D. At the University of Southern California in the science education field. And once there, realized that I actually had a unique experience in higher ed, that experience of teaching with populations that are learning English or have home languages other than English, was actually not common in higher ed circles. And being from that community was also not common. And so I pretty quickly leveraged that experience to combat what I think is universally agreed as an equity issue that in my school where I taught, the district had advocated for ELs to get an extra hour of language development in order to promote their English language proficiency.

Dr. Susan Gomez Zwiep (04:28):
And, our principal wisely said, there are not enough English-only students in this school to do that without losing all of our science teachers because there’s not enough kids left to actually fill a day, a teacher’s day. And she said, these kids learn more language in their science courses than they do anywhere else, so I don’t wanna remove that. But the reality is, is that at that time–this was in the late nineties, early two thousands–if you were not proficient in English, you went to more time with language development. And that makes a lot of sense in some ways. But when you look at the big picture, you realize, well, that means those kids aren’t going to science and they’re not having opportunities to have consistent quality science learning opportunities simply because they spoke a language other than English at home. And so that’s really how I fell into this work.

Eric Cross (05:28):
And that has a downstream effect. I mean, once you start pulling students from a course, that automatically sets the trajectory for later outcomes, which we ultimately see in STEM fields where we, we don’t see the population of our students represented in the STEM fields. Now, I know this goes back a few years, but you were doing research for your Ph.D. What did you start to follow?

Dr. Susan Gomez Zwiep (05:50):
Yeah, so I eventually took a position at Cal State Long Beach, which was not by chance, it’s a Hispanic-serving institution, and that’s where I wanted to do my academic work. And once I was there, sought funding with a district to support elementary science learning. So it had a teacher professional learning component that was both summer and in-class, sort of like PD in the classroom component. And the district came back and said, the only way you are gonna get time to even talk about science in elementary school is if it’s attached to language development. And so that’s what we did. It was a three-year grant, there was a sister grant that followed–so all told, it was about a five-year program where we basically said, what if instead of following the traditional ELD, English Language Development curriculum, we modified and put science as the context for language development in the K2 bands.

Dr. Susan Gomez Zwiep (07:01):
Teachers at the district traditionally had not been excited about their language development curriculum until we said, we’re gonna take that and we’re gonna do some science instead. And then they were like, no, no, no! We love our ELD curriculum. But they hung in there with us. The project was successful enough that it actually became a K4 and then a K5 project. The district ended up having to put in a ton of money into this because the grant only paid for so much. But their schools actually wanted “in” ’cause what they heard is when we put science as a context for language development, kids were talking more. Kids were speaking in English more. Kids were writing more. Kids were engaged. And the ultimate, kids were developing English quickly and in a community where you could actually operate within the community without speaking English. These are Spanish-speaking communities and the schools operated in Spanish outside the classroom. So if you walked into the school’s office, the principal secretary, the person who manned the door, spoke Spanish. The field supervisors that the lunch supervisors spoke Spanish.

Eric Cross (08:17):
The non-teaching staff that are supporting the rest of the students outside of the classroom.

Dr. Susan Gomez Zwiep (08:23):
Yeah. Everybody spoke Spanish and they spoke Spanish at school. And even the principals came back and said, from being in this project, that the kids were coming into the office and had transitioned to communicating in English, especially when they wanted to talk about science, and they really wanted to talk about science ’cause they were super excited about the stuff that they were learning. So we started to see this trend of students communicating more in English because they were excited about the science that they had been learning. And yeah, that sold itself and we had schools jumping in.

Eric Cross (09:01):
So you started off in a situation where you were told that you had to, if you wanna get science and you had to merge it into English, basically. And is it fair to say that that’s because of testing requirements that schools have on them? Like this is what gets analyzed or what was the purpose behind that?

Dr. Susan Gomez Zwiep (09:15):
It was district policy and it was site policy and those policies were put into place for very good intentions. Students don’t get reclassified into English only, and reclassification is how you traditionally got access to all this other programming, electives, AP college prep, all those other things. And the best way to get them reclassified was to learn English, and to learn it sooner rather than later. So it was in an attempt to get kids reclassified from English learner to English proficient.

Eric Cross (09:55):
And then during that process it was able to be expanded to K4. And then with these open-minded teachers, you gave them the content, they used science as the context for learning. And then your students who were mostly emerging bilinguals and multilingual students, you found that they started speaking English more frequently. What did you make of that result? Like what did you come to after seeing all that happen?

Dr. Susan Gomez Zwiep (10:20):
So I do wanna say that there’s a couple of reasons why we think this works so well. But I have to really acknowledge that there were linguistics, second language acquisition experts that were part of this team. And we wouldn’t have been able to make any of this work if it was purely science educators leading this cause. There’s a lot we didn’t understand about language development, and they really helped us. But one of the things that we think is unique about science, there’s a few really important aspects–one is that we all have experiences in the natural world, since we can process outside information, right? We all have observations, things we’ve observed with our eyes, we’ve heard, we’ve felt, and all of those experiences build some pretty good science ideas before we enter formal schooling. You know, kids already have ideas about this.

Dr. Susan Gomez Zwiep (11:20):
We don’t have to give them language for it. They already have these concepts and experiences. The other thing is that we are inherently interested in the natural world we occupy. And so we’re curious, science is often considered cool, there are science channels and science fiction movies and science fiction books and magazines–and this is just … it’s just cool. And that tended to be the trigger, you know, when we gave kids something interesting to observe. A Ziploc bag with water that we added an Alka-Seltzer to, and strange things starts happening in the baggie. That curiosity, that excitement allowed kids to leap over any concerns they had about the language they were supposed to use in the classroom. One of the most difficult things about learning a language is using a language that is imperfect. So saying things and communicating in a language that you are not a hundred percent confident about, that you’re not sure you’re using the right words or the right tenses. But when kids were excited about this thing in a Ziploc bag, they didn’t care. They communicated however they could, sometimes in their primary language or their home language, sometimes in imperfect English, but by and large they just communicated. They did it in oral language, like listening and speaking, but they also did it in writing. And that was easy. Like we didn’t have to do anything other than provide interesting science experiences. And that’s, that’s pretty common.

Eric Cross (13:06):
Yeah. I feel like, to co-sign on the science is cool, it is objectively, if a matter of fact, even just looking at the Oscars, like we have multiverse, you know, we have sci-fi you know, the costume designer of Wakanda Forever. We have all of these different movies that are all founded in some kind of these scientific principles. And so the idea that science is cool and organic, naturally engaging is something I think we, we all can connect to and it resonates with all of us. So I feel like is sort of your origin story too.

Dr. Susan Gomez Zwiep (13:33):
That’s the origin story.

Eric Cross (13:34):
That’s the origin story right there, to continue with this like movie theme. Now if we fast forward to today, based on all the research that you’ve seen since then, and your experience, why would you advocate merging English language development and science?

Dr. Susan Gomez Zwiep (13:49):
Well, for one, the research that we conducted actually provided some really nice evidence that showed, even though we had essentially stole minutes from language development time and inserted science. And on state mandated tests and on their students’ language proficiency measures, the kids in the program with the blended, did significantly better than students who were getting ELD instruction alone. Traditional ELD instruction. And that kind of blew our mind. We would’ve been happy if they had done just fine. Like we could put science into a student’s day and do no harm. They could get their language development; they could get science. But in fact, what we found was that they did better. That they actually gained English more quickly and it showed up in multiple measures, including the state English language arts assessment, which again, kind of blew our mind.

Eric Cross (14:55):
So just to be clear about the study that you did, you looked at two groups and one was the blended science and English language development, and then the other one was a control group. And the blended group ended up showing more improvement.

Dr. Susan Gomez Zwiep (15:09):
Yes. So there’s quite a bit of research now, this research was done in the early two thousands, and the research has built around it to really suggest that this does seem to be a more efficient way to promote language development while still maintaining students’ access to a core content area. But in recent years, the standards have shifted and that has been just a remarkable, wonderful change. And both standards have shifted. So when we did our research, we did it under the old California Science standards that were fairly heavy in technical terms. They were heavy in science concepts rather than kids doing things. And they were a much narrower focus.

Eric Cross (16:04):
And these are the standards that most of us grew up on, right? Those of us who are pretty much teachers in the classroom today pretty much grew up on what you’re talking about. Is that fair to say?

Dr. Susan Gomez Zwiep (16:12):
That’s fair to say, yes. So the new standards that we have now, the California NGSS Standards emphasize not just ideas, but they also emphasize students doing things in science. And we didn’t have to build-in language portions to the standards. They now exist. The NGSS is a very, very rich linguistic opportunity for students. And at the same time, the way we’ve thought about language development has also shifted. We used to talk about language and science… we used to think about science as a lot of words, and you had to know the words, you had to have this technical language. And we’ve sort of shifted that to really thinking about, language is no longer a prerequisite for science learning. Language is now developed through the science learning or the content learning experiences.

Eric Cross (17:11):
So now there’s more chances to integrate English into science. Have you seen success stories or have you seen examples of this? Maybe just anecdotes of teachers kind of doing this since you’ve been doing this research and kind of watching. If so, would you mind sharing one or two?

Dr. Susan Gomez Zwiep (17:30):
Yeah. And I will just give a nod to Dr. Dr. Okie Lee who’s now at NYU who has really led sort of this reconception of language and science. And one of the ways she talks about it is this notion that I enter this learning experience, I enter this observation of this phenomena with fairly naive, simple scientific ideas. And my language about it is equally simple. But as I develop more and more ideas, as my understanding of the phenomenon, what I figured out becomes more sophisticated, I need more sophisticated language. And so what we’re starting to see are these spaces where teachers are building science ideas and science and understanding along with the language. And in order to do that, you really need to know what’s the storyline arc of my science lesson? What do they figure out in lesson one? What do they figure out in lesson two?

Dr. Susan Gomez Zwiep (18:35):
What do they figure out in lesson three? How are the science ideas building over time? So that I can then look at the language that they’re using and what language supports do I need in order to allow students to not only engage and figure things out, but communicate their ideas about it. And so we’re seeing teachers blow up what we call language, what we call text. It’s not just words. It’s not just sentences written on a paper, but it’s models, it’s pictorial representations, it’s gestures, it’s this wide range. We pretty much said, let’s blow language up. Let’s like use all of the linguistic registers that we have in order to make meaning of what we’re seeing it in together in this classroom. So that’s one thing that we’re starting to see. The other thing is that teachers are really allowing students opportunities to use what we call social language, non-standard dialects.

Dr. Susan Gomez Zwiep (19:40):
The language I use at home and with my friends. Because earlier I had said, we have all these experiences and those experiences in the world are tied up in my social register. They’re tied up in my home language ’cause that’s where I experience them. And to let students have access to using that language in the classroom, especially initially in a unit, means we’re giving ’em access to those experiences that they have that are related to the phenomena under study. So I totally understand the benefit of promoting academic language and promoting language frames and forms that we use in more academic settings. But it’s a sticky wicket. You have to be careful how you tell students about the way you want them to communicate. Because when we tell them that language that you use at home with your friends and family is not welcome here, we can send a message that they’re not welcome here. And that those experiences that they have outside of classroom about how things fall, the way sunlight heats up different surfaces, where you’ll find plants and what plants you will find based on conditions. All of those experiences, we’re sending a message that those are not welcome in the classroom. And so this expansion of language, including non-standard dialects and even home language, is really important for letting students bring their whole selves into the classroom.

Eric Cross (21:23):
I love what you just said. It legitimizes the funds of knowledge, the language, the cultures that our students are bringing to the table. I remember when I first learned the word code-switching in college and you know, I’m biracial, I grew up in my home community and my school community were two different communities and I ethnically, culturally belonged to both. And I had to code-switch in order to kind of survive and be accepted into different communities. And not until I was in college did I actually understand what I was doing. Now there were all kinds of teasing and jokes that went on to how I would talk if I code-switched improperly. And in my classroom, I would see students who would explain concepts in a way that was maybe like a casual register. They just were explaining it the best way they could.

Eric Cross (22:10):
And the way they were speaking was kind of denigrated or it was seen as negative even though they were communicating their concept. And when I became a middle school teacher, one of my, I don’t know, it’s like sometimes when you teach, you get to, you change how you were taught or what you experience and legitimizing my students’ language, and they would tell these beautiful stories and in their most common like, casual language, but they’re explaining the concept brilliantly. And it was phenomenal to see this barrier be removed of saying, you have to talk like this in order to be a scientist or you have to say these right words. And, and that’s what I feel like I’m hearing that in how you’re describing kind of how science has been done and what language can do to certain groups of students.

Dr. Susan Gomez Zwiep (22:58):
Yeah, very much so. And you know, back to the origin story, you know, I grew up in a multi-generational household. My mom, my aunt, my grandmother, Spanish was their first language, but they lost it because my mom was raised in Riverside and she, you know, went to school in the, the fifties and sixties and back then you weren’t allowed to speak Spanish at school. And so they lost the language.

Eric Cross (23:27):
They weren’t allowed to speak it at all.

Dr. Susan Gomez Zwiep (23:29):
At all. I didn’t directly observe it, but that is the story that my family tells, that there was no English spoken anywhere on school grounds. And that was a different issue. Right? That was very much for people unfamiliar with some of the history in Southern California. Their segregated schools, severe racism, linguistic racism, racial racism against Mexicans was a real thing. But yet I grew up in this household where the sort of way of speaking, like I think many Mexican households, the context is everything. So you can’t get to the facts until you’ve told the whole context of everything happening around it. So we used to joke that we couldn’t send my grandmother to the doctor by herself ’cause he had 15 minutes, and she was gonna take 20 just to tell him how she got there before she got to why she was there. But this telling of the context, the telling of the story around the idea is part of the linguistic, this sort of linguistic way of my household. When I got to school, I had to learn to drop it because teachers found me off topic. You know, I still have to be careful how I express things and sometimes I’m not a fast storyteller <laugh>, and I monitor that for myself. So I can only imagine what it’s like to be a kid in a classroom.

Eric Cross (24:59):
Right. And there are so many constraints in the school day, you know, especially if you’re multi-subject and you’re elementary and you’re teaching multiple subjects and someone’s trying to tell a story and you’re just like, land the plane! And they’ve, you know, gotta tell ’em the story, but realizing that when you look at it through a lens of like, culturally, this is how we communicate, then it reframes what the student is trying to do. They’re communicating to you based on how they’ve learned to communicate and they’re including essential parts of the story. And so how do you both honor that while also, you know, certain things like brevity and being concise and things like that that they’ll have to learn. But also honoring that and making sure that there’s space for that in your classroom. Even me, I’m thinking about this where I had students record this video and it was one minute to two-and-a-half minutes explaining three concepts. And I had students coming up to me afterwards saying, Mr. Cross, I need to record two videos because two-and-a-half minutes is not long enough. And I was like, how? I even extended it. But I’m realizing and listening to you and going, they’re probably not just getting to the point. They’re probably including more context into this because that’s how they story tell and that was actually part of the lesson.

Eric Cross (26:12):
So now I need to go back and extend their time that I’ve given them for <laugh> that project. I wanna come back to kind of, since we’re on this topic about why this is also an equity issue. Mm-hmm. <affirmative>. So we were talking about language, you touched on this a bit, and we were talking about integrating into science, but can we go a little bit further into how this integrated approach maybe can benefit English language learners in particular? And maybe anything else that’s related to equity that comes to mind.

Dr. Susan Gomez Zwiep (26:40):
So there’s a couple of layers of the equity issue. The most tangible and clear is student access. If we wait until students develop English proficiency to allow them access to quality science learning, we lose a tremendous number of students that could not only could they benefit from science, we could benefit from their entering this science conversation. And I was at a university and I was in a college of natural sciences and we were dedicated to increasing the diversity of the faculty. And it was a struggle ’cause the number of Ph.D. science ed or biology or chemistry academics that come from marginalized populations is very, very small. And it’s not by accident. You know, the number of students that make it into the next level, that make it into college prep courses, that make it into STEM majors, that complete STEM majors and go on to either careers or advanced degrees narrows at every possible step.

Dr. Susan Gomez Zwiep (28:01):
And so the equity issue is really one of access. And as basic as that is, it’s the easiest to solve. So that’s the first layer of equity. But the second issue around equity is how we engage these students once they’re in this space. Do we make it possible for them to see themselves as a scientist or an engineer? Are we creating learning experiences that not only allow them to use all the sense-making resources that they have, but do we make them feel like they’re valuable and useful in that space? Because there’s a lot of people that will say, I could be successful as a scientist, but I’m not willing to give up who I am in order to do that. And that’s a real thing. There’s a lot of research about like, why are they leaving? Like why, you know, is it because they’re not able?

Dr. Susan Gomez Zwiep (29:05):
Is it because they don’t see themselves as being capable? And now I think we’re looking at this as a different issue. It’s not that students don’t see themselves as capable and not that they’re not achieving. They see the cost that it will take to enter these fields and essentially not be able to be their full selves. So that’s the second equity issue. And in both cases we lose. As a society, we lose. We lose access to the full range of human resources that we have, and we lose access to their unique perspectives that they would bring to real problems facing us. It’s like all hands-on deck. We need to stop making it too difficult to participate in the conversation and we need to be more inclusive about how we invite these other perspectives and how we respect and utilize their ways of sense-making. That may not be Western science ways that we have in our books now, but hopefully those science materials are gonna change and we’re gonna start to see other ways of sense-making and other people involved in the stories that we tell around science concepts.

Eric Cross (30:29):
And just to be clear, this practice in integration, while it lifts up equity for marginalized or underrepresented groups or students who are emerging bilinguals or students who typically we don’t see representation of, this approach also benefits native speakers as well. Correct?

Dr. Susan Gomez Zwiep (30:47):
Yeah. And there’s actually a group of native speakers that come from text poor homes. It’s typical in underserved communities. Poor people living in poverty that may be native English speakers. They may not be marginalized populations. But they don’t have access to like text. And so that’s another group altogether that needs linguistic support. And then once you have all voices in the room contributing, everybody benefits because now the conversation, the building understanding conversation we’re having or the sense-making conversation that we’re having has everybody involved. And we all benefit from that.

Eric Cross (31:33):
And we see, I think one of the benefits about a country like the U.S., is we have such a heterogeneous group of people. And when we’re moving in the same direction, we’re all coming to the same problem, but from different perspectives and we’re able to come up with more innovative and novel solutions to them. And that’s kind of what I’m hearing is like as we generate scientists that are all coming from different backgrounds, we’re gonna be able to solve future problems, current problems a lot more effectively because nobody has a monopoly on perspective. Nobody has a monopoly on knowledge or the fastest way to do something or the best way to do something.

Dr. Susan Gomez Zwiep (32:11):
Right. Right. And traditionally we really have privileged particular experiences, particular ways of sense-making particular linguistic registers. And if we could just kind of put that privileged ways aside and open up space for everybody to feel like they have a voice, I think the next generation could change the world. I think they could solve some real problems. I’m truly hopeful that they would see themselves not just as capable, but as necessary in these pursuits.

Eric Cross (32:50):
So what does it actually look like today to do this work in instruction well? So to integrate the science, to integrate literacy, to take the benefits of the things that we’ve been talking about. What are some practical things that educators could do to get started, whether it’s in early, you know, K5 or middle school or even high school.

Dr. Susan Gomez Zwiep (33:13):
So I will say, I’m gonna kind of separate ’cause in the elementary space, students are primarily developing literacy in multiple languages. The language of the classroom, typically English, home language, languages, they may be multilingual. In the secondary setting where students tend to have developed social language in some language, it’s a little different. So I’m gonna kind of separate those two. So for elementary spaces where teachers tend to teach multiple things, I recommend that you get a partner. Don’t do this work alone. You cannot do this work alone. I mean you can, but it’s very frustrating and not nearly as much fun. So you really wanna take a look at what is the science that kids are going to be engaged in. Because when we look at science first and build language development around it, the experience tends to be more authentic and organic.

Dr. Susan Gomez Zwiep (34:18):
And what we used to do is we used to, like when we were talking about the science, we’d monitor the language we were using and then use that to say these are the registers. This is the language that we use when we were thinking about this. So if students are gonna use this, these are the scaffolds they’re gonna need. ‘Cause to do it, well, to do it efficiently, the scaffolds need to be specific to the science learning. So if we’re doing cause and effect, those are specific linguistic scaffolds that are different than if, say we’re doing model and systems and systems models, those are a whole other slew of scaffolds. And so you wanna be really tending to, what is the science being discussed and what is the language that kids are going to use and build scaffolds around it.

Dr. Susan Gomez Zwiep (35:10):
And then you also wanna think about what is the social language? What are the experience that kids will have either in words or pictures that I can leverage in this space. And then you wanna do that for the arc of the unit and slowly increase sophistication around those linguistic supports, as well as the science learning. But if kids have social language and they’re now in, there’s a group we call long-term English learners who have not been reclassified way beyond what the typical reclassification is. And that actually is important to think about because if you think about the kinder group, the group of kindergartners that enter a school when they’re five or six, those kids are going to go from grade to grade to grade. And as students develop proficiency, will get reclassified and they move out of this group that we’re still calling English learners.

Dr. Susan Gomez Zwiep (36:10):
So by the time you get to like seventh, eighth, ninth grade, if they’re still students in that category, they have very different needs on average than the group we started with. Often when we talk about secondary or these long-term English learners, we can leverage social language a lot more, but have to build the scaffolds more carefully around, for lack of a better word, the more academic content transferring that those social nonverbal language into more sophisticated forms. I think in any setting, you wanna utilize your resources. If I’m in a secondary space and I have a language development teacher and I’m not talking to her or him or they, that’s a problem. You need to go talk to the other people that have these same kids and talk to them about, how are you engaging in language, what are you doing?

Dr. Susan Gomez Zwiep (37:07):
Because you know, you could actually have a lesson, maybe this is a lesson about energy and you’re using a model and the kids are creating an initial model. And over in ELD land, they’re doing some linguistic supports. They’re working on some forms and functions of language. You could talk about the catapult, you could talk about the solar heater. You could use the context of the science conversation, which has a whole bunch of tangible experiences. You know, there’s the solar heater in front of you. I don’t need to keep it all in my head ’cause it’s in front of me and we can point to things and talk about things by manipulating the materials. And then I can take all of that and my ELD partner can use that as context when available. But it takes collaboration, but it’s collaboration well spent. And it’s more challenging in the initial phases of the collaboration. Once you kind of the get into the groove, it becomes a lot easier.

Eric Cross (38:16):
The meta of this, as we talk about integrating science and literacy is, and this is great advice, but it’s basically integrate your science teachers with your English teachers and co-plan and do this work together. It’s a force multiplier. One, you’re both, you’re getting two specialists together. It also, I’m just listening to just the parallels. It also resembles what you actually do in the STEM fields of collaboration working together to problem-solve, and you’re modeling for your students what you want to happen. And if I was an administrator listening to this, someone who had control, like master schedules and things like that, there also needs to be space created for these teachers to talk to each other and plan and do all these other things to kind of maybe come up with like interdisciplinary units or even just meet and begin the conversation. It just seems like such great advice.

Dr. Susan Gomez Zwiep (39:07):
Yeah. We’re professionals. We have academic degrees and credentials and experience in the classroom and yet more often than not, we leave it to the students in the seats to make the connections between my class and the class they go to next. And that’s not fair. We need to be talking to each other. So if we’re talking about argumentation, argumentation in science and argumentation in ELA and argumentation in math–we’re not even talking about the same thing. I mean, cognitively we’re talking about taking some evidence and creating a claim and supporting it, but what we mean by evidence is very different in the different disciplines. What counts as more convincing evidence changes. And yet we assume that because we say evidence in one class, the kids know what we’re talking about. And the kids are sitting there going, which one is this? Which evidence are you talking about? Because last period it was something else. And so I think we also need to really consider who’s in the best position to clarify the connections and the integration because we leave it to kids more often than not right now.

Eric Cross (40:19):
I agree. Just having those conversations and defining your terms and agreeing on them just to make it easier for students. ‘Cause you’re right, they are left to make those connections or bridge the gaps. And when you have an education system for many schools, I think most of us, it’s still pretty siloed. You’re still kind of like, especially when you’re in secondary, it’s we’re doing this or even elementary, different times of the day you do different subjects, versus the way that we experience life itself or even our professions. We’re actually integrating science and math and reading and writing throughout the day, and ebbs and flows going back and forth. And without making those explicit connections, we’re leaving a lot of things to chance, hoping that the learning’s there in such a valuable moment. Before we go, I’m wondering if you have a parting message for listeners about the topic of integrating science and literacy. You’ve already said so many amazing things, but you have the platform speaking to educators and folks out there. What would you wanna say to them?

Dr. Susan Gomez Zwiep (41:18):
This is not an easy endeavor. The system that we operate in does not make this effort easy, but it is worth it. It is worth it to the kids in our classrooms. It is worth it to the building of a scientific community and a scientifically literate populace. It’s important to solving problems in the future. It’s important to have kids feel like regardless of how they say things, that they belong in a classroom. If we can relax the sort of linguistic demands on kids and let them enter science learning in a way that allows them to use all their resources and they’re curious, they can really leverage both areas in a way that they don’t do individually. It’s really hard to think about what it is I’m trying to say if I’m worried about how I have to say it. And so we really need to think about, when are those times that we’re gonna let kids just tell us what it is that they’re excited about and when is it that we’re going to help them craft a more formalized language around those ideas. Right now we do a really good job at that second half. We need to do better at the first.

Eric Cross (42:46):
Susan, thank you so much for joining us today and for sharing your expertise and your wisdom and your passion for serving the students and for bringing everybody to the table through language and through science. We really appreciate it and the listeners will too.

Dr. Susan Gomez Zwiep (43:03):
Thank you so much. This is my favorite topic.

Eric Cross (43:06):
Thanks so much for listening to my conversation with Dr. Susan Gomez Zwiep, senior science educator and staff advocate at BSCS Science Learning. And please remember to subscribe to Science Connections so that you don’t miss any of the episodes in this exciting third season. And while you’re there, we’d really appreciate it if you can leave us a review. It’ll help more listeners find the show. Next time on the show, we’re going to continue exploring the how and why of integrating science and literacy instruction.

Speaker 3 (43:35):
When we interview scientists, they spend a lot of their time reading the work of other scientists and writing their findings, writing grant proposals, presenting at conferences. A huge part of the work of a scientist is not just at a bench conducting experiments, but even if you’re conducting experiments, you’re using your literacy processes to think about what you’re seeing in your experiment.

Eric Cross (43:57):
That’s next time on Science Connections. Thanks so much for listening.

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What Dr. Susan Gomez Zwiep says about science

“When we used science as a context for language development, kids were talking more, kids were writing more, kids were engaged.”

– Dr. Susan Gomez Zwiep

Senior Science Educator, BSCS Science Learning

Meet the guests

Susan Gomez Zwiep began her career in science education as a middle school science teacher in Los Angeles where she spent over 12 years working in urban schools. Prior to joining BSCS, Susan worked at California State University, Long Beach as a Professor of Science Education.

Susan has also worked as a Regional Director for the K-12 Alliance, providing high-quality professional development in science and mathematics for K12 educators, including the CA NGSS Early Implementer Initiative. Susan consistently works toward establishing equitable access for all students to rigorous, inquiry-based science instruction and supporting teachers in their journey to become advocates for students, science education, and their own professional development.

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About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

S2-03: Building meaningful student connections in the science classroom

Promotional image for a podcast episode titled "Sharita Ware: Building meaningful student connections," featuring Sharita Ware and "Science Connections" branding.

In this episode, Eric Cross sits down with Indiana State Teacher of the Year, Sharita Ware, to talk about how to successfully build meaningful student connections in the science classroom. Sharita shares her journey from a corporate career to becoming Indiana’s 2022 Teacher of the Year, and her passion for creating project-based lessons for her students. Together, Eric and Sharita discuss how educators can teach students to love science content by building strong relationships, adding in other content areas, and supporting students’ imagination. Explore more from Science Connections by visiting our main page.

Download Transcript

Sharita Ware (00:00):
I try to create that equal playing field where there’s nobody’s voice, that’s more important than anyone else’s and try to make them all feel that what they have to say is important.

Eric Cross (00:14):
Welcome to science connections. I’m your host Eric. My guest today is Sheta where Sheta is the 2022 Indiana state teacher of the year. And in her 10 year career, as an engineering and technology teacher, she has dedicated herself to helping students build knowledge and skills for high school and life. Beyond. In this episode, we discuss how she inspires her seventh and eighth grade students to build problem solving and critical thinking skills through hands on real world and collaborative projects. She is as humble as she is knowledgeable and through our conversation, it was easy for me to see why her students feel successful under her guidance. And now please enjoy my conversation with Sharita Ware.

Eric Cross (00:59):
Can I start off by saying congratulations on teacher of the year. Thank you for the state of Indiana. Um, that’s amazing. So I, I, I did watch, uh, your videos, uh, short interviews, and then you spoke, was it Purdue? Yes. You were there. And so, uh, to see if fellow seventh grade, eighth grade science teacher out there being celebrated, like I was so excited, so yeah, I wanted to congratulate you on that and, and just kind of talk to you about like your teaching journey and ask you, uh, maybe just kind of start off with your story about what brought you into, into the classroom, especially the middle school.

Sharita Ware (01:29):
Classroom. So what happened is when I was working in industry as an engineer and when my husband and I got married, we decided that I was gonna, um, stay home with the kids because, you know, we wanted, um, our influence to be greater on our kids than, you know, the people that would be watching them, you know, because they would ultimately spend more time with them than they would with us. And, and so, um, I stayed home and when my youngest was going to be going to kindergarten the next year, I was like, okay, what am I going to do? Cuz I really don’t necessarily feel like I need to stay at home. Mm-hmm <affirmative> but um, I knew going back to industry would be a challenge just because in my field, I, I was traveling a lot before I got married and had kids.

Sharita Ware (02:14):
And so I knew that that wouldn’t really be conducive to again, raising children. So I, I get this email, my inbox for Woodrow Wilson, teaching fellowship at Purdue. And they were just looking for people in stem fields to go into teaching. And I was like, okay. And it was a national search, you know, I filled out the application, we had to go in and do some sample teaching mm-hmm <affirmative>. And I was picked as, as one of the, the teachers to go through the program. And I started off thinking I wanted high school. And the really cool thing about this, uh, program is that we had long observation periods at high school and at middle schools. And so we would go to a school and we’d stay there two or three weeks. And so it, it kind of gave you right. A little bit more insight to what happened on a daily basis. And after those observations, I was like, I like middle school better than I, uh, like high school. And so I just kind of went that direction and you know, the rest is history. So

Eric Cross (03:19):
I feel like our stories are similar because I went into teaching thinking I wanted to do high school because I like the maturity and you a little bit more sophistication, advanced things, but yes, middle school, I felt like I can, I could get them more upstream before and kind of help shape mm-hmm <affirmative> that experience for them? Because I feel like at middle school is really where they kind of decide like what they can do based on their experiences.

Sharita Ware (03:39):
I found in the middle school that the kids, I mean, they just, they clamor around you and they’re like, what are we doing today? You know? And they get so excited and, um, they’re, they’re just, I don’t know, I guess in some ways, just more hungry in the sense of like they’re willingness to, um, now sometimes they’re a little reluctant, but you know, their willingness just to try new things. And I think, um, my students really what I have found over the years that they have found a safe space and I hear the kids, you know, say to me so many times that, you know, it it’s safe. I feel, I feel safe in here. And, and it’s not something that in my mind I’m thinking about, oh, I need to make this a safe place. It’s just, I guess part of just who I am as a person has created this environment of, of safety and, and the kids recognize that, you know, I don’t play favorites. You know, everybody starts out mm-hmm, <affirmative> on equal footing. I, I don’t care what your backstory is. I don’t care how many times I see you in the hallway when I’m walking during my prep. You know, when you hit my room, I’m, I’m gonna treat you the same way on day one, that I treat everybody else.

Eric Cross (04:54):
You really understand how to build culture with, in, with your classroom, with your students. And, and you said they feel safe, but is there anything that you do that someone could like apply? And like you found that you’ve gotten a lot of just relational capital through doing these things, or is it just your personality? Like how, how do you build those connections?

Sharita Ware (05:12):
You know, growing up being a, a very quiet person. I, I think a lot of times my voice was ignored because I was the quiet kid in the back of the room. And oftentimes I became seen or heard because of my work, you know, in the beginning it was kind of like, oh, she’s just this quiet girl in the back of the room. And then, you know, the first essay was due or the first project was due. And then it was like, oh, you know, then you’re the person to be on, you know, people’s teams. And, and that, I don’t know, that always kind of bothered me because, you know, I’m thinking just because you’re not the loudest person in the room doesn’t mean that you don’t have something to say, mm-hmm <affirmative>, you just might not be talking all the time. You know? And, and so for my students, I just, I try to create that equal playing field where there’s, nobody’s voice, that’s more important than anyone else’s and try to make them all feel like that what they have to say, or what they have to contribute is, is enough, is good.

Sharita Ware (06:14):
Enough is important as…

Eric Cross (06:16):
It is, as it is. And there’s probably a lot of things that you do. But in addition to building these relationships, what do you do? Like how do you make your learning fun for students?

Sharita Ware (06:25):
I think, um, I’m also a little bit on the silly side. Um, we do a, a Barbie prosthetic leg project, and this was after trial and error of having the kids make full size prosthetic legs. And I try to make it as real world as possible, but with none of the children being amputee or, you know, having access to someone, it was really hard for them to really visualize what needed to happen. Mm-hmm <affirmative>. And so, um, I found this Barbie that had a prosthetic leg and I was like, well, LA, so I just started collecting Barbies and chopping their legs off <laugh>. And so I have this jar of Barbie legs. And so, and I said, you’re gonna make prosthetic legs. And I lay this jar of legs on the counter and the kids are like, like they gasp and then they crack up and then they’re like, okay, this lady’s crazy. So…

Eric Cross (07:22):
That’s when you take off your scarf and there’s this necklace of just Barbie legs that are just around and you’re like, I’m a middle school teacher and they go, oh, okay. I understand. Yeah. Yeah. It’s totally fine. Is this a lesson that someone that you made up or is it something that you’ve re remixed? Is it something that someone could do if they looked it up anywhere?

Sharita Ware (07:38):
Um, so I think teach engineering has the, the full size leg that the kids make. And that’s where I initially got it from.

Eric Cross (07:47):
Is that the website teach engineering?

Sharita Ware (07:49):
Yes. And, um, I, in fact, I get lots of ideals from there. Um, and I, I always usually tweak them, but it’s, it’s one of those things that kind of gets your brain going. And so it was kind of a mixture of, uh, project lead the way gateway to technology and the teach engineering. And I think the project lead the way had us making like braces, uh, for, um, kids with, um, like cerebral palsy or, or something like that. And the kids did okay with that project. Uh, but I wanted to go just a little bit, uh, deeper with it because part of what I was wanting them to do is that context and that connection, that human connection, because for me, it’s not just enough for them to make a project. Uh, before we start this prosthetic leg, I read them a story out of a Scholastic magazine, and it’s a, a teenage girl that lost her leg in a boating accident.

Sharita Ware (08:42):
And she was super active, um, playing sports and running. And, and so I was, you know, trying to get the kids to, you know, make that connection, someone close to their age. Um, and then how it’s not, it’s, it’s more than about her physical healing. It’s also about her mental healing and how she had to, you know, talk to herself to say that she could, you know, recover and, and come back from this and still go on to do all of the things that she was doing before. Um, and in some ways it’s kind of cool because, um, you know, she has a running prosthetic, she has a, a swimming prosthetic, and she has her every day with the pain and toils prosthetic. So just trying to, you know, help them to see that it’s more than just the, you know, the biomedical mechanical engineering aspect of the project.

Sharita Ware (09:30):
And so they have to design for comfort. They have to design for, um, swelling. And then, um, they also can, if they, if they want to, they don’t have to, if they want to, they can create their own backstory. So when they get there, um, we have a day where they are introduced to their client, so they get to meet their Barbie and, and then they get to decide if they want a backstory and, and then do their research based off of that. So if it’s someone that was a runner, then they can design a prosthetic running blade. So just, they have lots of, uh, flexibility.

Eric Cross (10:04):
The, that aspect of adding the narrative. It does so much for like listening to it on the outside. It one, it adds this humanity to, you know, what can sometimes just feel like it may be cold, logical stem. We’re just, we’re just doing things. We’re fixing things. We’re, you know, we’re discovering things, but really the stem has value when we’re actually applying it to, to, to serve humanity or our ecosystem or whatever it is. There was a, a coding, uh, class I was doing with my students and I showed them this app called be my eyes. And it’s for people who are visually impaired and it pairs them with a volunteer. And when they call, and there’s a whole huge pool of volunteers and I’m one of them. And when my, when it happens in class, I answer and it uses the FaceTime. So the person who’s visually impaired is holding up their phone and you see what they see and you tell them and real time what’s happening.

Sharita Ware (10:54):
Oh, wow. That’s so cool.

Eric Cross (10:56):
These are, these were the things I think for students that the story, the, the human part of it, mm-hmm, <affirmative>, it must bring in so many more students into engagement.

Sharita Ware (11:05):
Yeah. I, I feel like it does because I, I think, um, and, you know, along the journey, they kind of lose, um, they lose sight a little bit because, you know, they get out in the lab and they have access to all of these different materials. And I think, you know, truly making it, you know, project based for me is I try not to control the materials too much. Um, I try not to make it so wide that they just get lost, but I try to throw a few curve balls in there, you know, of, of materials that really don’t make sense to use, but they kind of think they make sense to use. Um, because the, the, the meat of it is that the prosthetic leg is a similar size of the original leg and that the, the knee functions. And so I don’t limit, and I grade them off of efficient use of materials.

Sharita Ware (11:59):
So, and that just throws them off because I think, well, how many Popsicle sticks can I use? And I’m like, you can use as many as you like, but remember, this is a prosthetic leg that, um, your Barbie, which is one six scale, um, is going to be wearing all day. So you could think that a Popsicle stick, if you chose to use a Popsicle stick is kind of like dragging around a two by four <laugh>, you know? So do, is that what you really want to use as your material? And some of the kids really think about it and saying, okay, I’m, I’ve got this aluminum rod, okay. This is probably what I would use for my bone structure, because it’s lightweight, but yet it is supportive. And then sometimes they come up with their own ideas in terms of materials, like one student brought in his, um, 3d doodle pin mm-hmm <affirmative> and he made joints and everything with this pin.

Sharita Ware (12:54):
And I’m, and I had delayed buying one, cause I’m like, I, how do you have control over that thing? Mm-hmm <affirmative> he brought that in and he did probably two or three iterations of it and, and got it to work where even the knee where it bit back 90 degrees, but it stopped. He made like, so that it didn’t bend forward. It blows my mind. I’m like so many UN unexpected things have, have happened just from my, um, teaching style. Now I did have, my first few years, I had a, a teaching coach, um, come in and, um, I asked her to come into my room because I just wanted to make sure because I was not a traditional teacher. She said, this classroom is amazing. And, and I think the one thing that she helped me with was, was purpose and consistency and the sense of making sure that with the standards that all of these cool things and ways of being, um, that I was doing in my classroom, that, that I kept it purposeful and intentional. So many times as educators, I know in having student teachers again, ask yourself the question, what is the big picture I want the kids to take away. And once you ask that question, then everything that you have them do will lead to that big picture. Well, it should lead to that big picture.

Eric Cross (14:22):
So it sounds like they’re, you’re starting with this end goal in mind and then kind of backwards planning to get there. Yeah. Do you think you would’ve been the same type of teacher if you would’ve gone straight from college into the classroom? No. And if, if, no, as you’re shaking your head, what do you think it is about? Cause I’ve been asking myself these questions, like just over the years, what is it about coming from industry and going into the classroom? Do you feel like, is how has that impacted you in how you teach?

Sharita Ware (14:45):
Well, I think it’s twofold cuz I was older. I already had three children. I think the combination for me, I think is I was already a mom and I had worked in industry. So the behavior aspect of kids and, and then having that real world experience. And I, I just feel like whether it’s in the classroom, um, marriage, kids, to me, it’s 90% relationship, you know, and the rest will work itself out. That’s, that’s just my, my take on it. But I, I feel like having kids, so some of the behavioral things I kind of was aware of, you know, and just learned many times just not to react to some of the things that they did.

Eric Cross (15:31):
Which is huge. Right. Especially in middle school is controlling your reactions.

Sharita Ware (15:35):
Yes. Cuz that’s what they want. You know? And, and I had this student last year as well. She’s brilliant. And so if she cannot wrap her mind around the purpose of what you’re doing and, and you’re pushing her to do something that she doesn’t think is necessary, mm-hmm <affirmative>, she kind of has these meltdowns. And, and so we just had this, you know, I don’t know, we just came to this understanding and it, and it works to control the meltdowns. I tried to make sure. And, and I used her as a gauge because I knew she wasn’t, she wasn’t getting upset because she didn’t understand. She didn’t understand the why mm-hmm <affirmative>. And so I felt like if she got the why then so would everyone else. So when she, if she was okay with it, then I was like, okay, then I must have explained it well enough.

Sharita Ware (16:25):
And so in my mind that I really need to make sure they understand the, again, going back to that purpose <laugh> and intention, making sure that that is clear. And then I think that’s what gets lost. Sometimes mm-hmm <affirmative> uh, with us as teachers, we, we know where we want the kids to go and we want us to trust the process, you know, just do it because I said so, but sometimes, you know, empowering your children to under to understand the why, because that again is what allows them to be able to do bigger and greater things on their own. So on that next project comes along. They’re starting to tell you, well, first we need to make sure we understand what, um, we’re being asked to do to do. So we have to define the question. We have to make our driving question that will help us stay focused. And, and you’re just standing up there going, okay, now you don’t need me. I’ll go here and sit down. <laugh> so it’s, uh, it is really cool.

Eric Cross (17:28):
Now I’m thinking about my own kids. Like, do my students know the why behind the lesson we did today? It’s one area of growth that I wanna make sure I do this year with my students. And so I really appreciate that. So the, and you just hit on something that is, has been in the forefront of my mind lately and math and English as you know, tend to be prioritized in schools everywhere because it’s what state tested. And it’s what, you know, this is a whole other conversation, but I’ve been talking to math teachers frequently about one of the challenges that they experience or they’ve been telling me is that math is kind of taught. Like it’s just computational, you’re solving these problems, but it’s really separated from any real life application. A lot of times, you know, it’s pizza or gumballs or, or just fictional scenarios and students don’t perform well many times. And some of the reasons why is cuz just no connection. I don’t want to solve puzzles. Like it’s not my jam. Do you have any just inside or, or perspective on how math is, is taught in maybe a way that you think it would students would benefit more?

Sharita Ware (18:32):
You know how kids learn in elementary school, you’ve got this, the same teacher teaching all of the subjects. And so wouldn’t that be an awesome opportunity for you to have like these, these projects where I feel like you could, a class could legit work on the same project for a whole entire year. And so couldn’t the English be writing your persuasive letter to the mayor, asking him to do this or do that. And the process of doing that they’re, they’re, they’re writing with a purpose with a true purpose. Um, and then when they’re doing math, you know, they want, they want a new neighborhood park. So, you know, well how much is this gonna cost? Well, math, what size is it gonna be math? Let’s see what it looks like, art, you know, you just, you have all of this things. And then of course then science.

Sharita Ware (19:32):
So if it’s on a heel, how can we, you know, deal with erosion? And you know, you can just pull so many different things into that. And so not only are they learning, but they’re narrowed in and focused on a project, they’re, they’re able to dive deep into, you know, learning more of learning, how to express themselves and communicate with real people. So it’s more of taking these compartmentalized learning that we do in middle school and high school. Mm-hmm, <affirmative> where you’re almost learning apprenticeship style. Mm-hmm <affirmative>, you know, you have these master educators and it’s not about them being the best at math or being the best at this or that. Cuz there’s so many tools now that could help you through that. But you’re, you’re giving, you’re teaching them so many life skills and so many ways to think and problem solve that, that we’re just that the kids just don’t have.

Eric Cross (20:27):

I think that that is amazing. And I think that in that situation, what I’m hearing is we’re going deeper, not wider because there are a lot of different concepts that kids are expected to learn. Or I should say there are several concepts that teachers are expected to teach doesn’t necessarily mean that our kids are learning, but we’re teaching them. And this way you’re embedded it into an authentic context. Students are able to go through this cycle just like real life. And then they’re also able to build these kind of really transdisciplinary skills. Not only am I learning the math, the English, the the, but I’m also learning the interpersonal skills of being able to sell myself and present myself in a way that’s winsome. And it’s especially powerful coming from someone from industry. Last question, even just listening to you, I know you, you are this for a lot of people, but I wanted to ask you who inspires you?

Sharita Ware (21:14):
I think there have been lots of people over the years. Like I’m thinking of my shop teacher who has since, uh, the last few years passed away. Um, he was one of those people, I think similar personality to me, super quiet person, but he was always in the background on my journey and his name was Joe Mo and we called her Madam Carol was my 10th grade English lit teacher. And she was the one that started reading my work out in front of the class. And you know, and that just gave me courage, not so much to be seen. Uh, but that the work I was doing was, was good. And, and I think I needed that kind of encouragement. Lastly, my students inspire me because when I look at their faces and see the excitement, I think of those students for the first time and, and, and think about this seventh and eighth graders for the first time feeling like they really have something to say, they really have something to contribute of value. And, and I do it for them. You know, the reason why I am here in this moment is because of them. Um, without them, you wouldn’t be talking to me <laugh>

Eric Cross (22:37):
This is, this is true. This is, this is true. You would probably never say this about yourself, but you just exude a humility and a service in how you talk about your students and yourself. And I just wanna thank you for using your gifts, but I don’t wanna just call them gifts because it makes it sound like you didn’t earn ’em and your skills that you’ve earned and worked very hard to acquire over the years to go back into the classroom and leave industry, cuz you, you could have gone back to industry too, but you decided not to. And you could have worked in the industry and your hours were a little different pay is a little different, but you came back to serve the kids of Indiana and because of you and because of that choice, those students have a brighter future and believe in themselves and they’re finding their voice. And I want to thank you for that and for representing all of us stem teachers who are in middle school and being that leader. So thank you for that and thank you for being on the podcast.

Sharita Ware (23:24):
You’re welcome. Thank you for having me.

Eric Cross (23:28):
Thank so much for listening. Now we wanna hear more about you in the amazing work you’re doing for students. Do you have any educators who inspire you? You can nominate them as a future guest on science connections by emailing stem, amplifycom.wpengine.com. That’s ST E M amplifycom.wpengine.com. Make sure to click, subscribe wherever you listen to podcasts and join our Facebook group science connections, the community until next time.

Stay connected!

Join our community and get new episodes every other Wednesday!

We’ll also share new and exciting free resources for your classroom every month!

What Sharita Ware says about science

“Sometimes, empowering your students to understand the why is what allows them to be able to do bigger and greater things on their own.”

– Sharita Ware

Engineer and Technology Teacher, 2020 Indiana Teacher of the Year

Meet the guest

Sharita Ware, a Purdue University graduate, is in her 10th year of teaching engineering and technology education to middle school students in the Tippecanoe School Corporation. Ware challenges her students with real-world, problem-based design scenarios that will help them contribute to global technology and integrated STEM. Follow her on Twitter and Instagram.

A woman with curly black hair, glasses, and a white turtleneck smiles at the camera.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. Listen here!

Welcome to Transitional Kindergarten

BACK TO MAIN TK–5 PAGE

Amplify Science California jump-starts a lifelong love of science with developmentally and pedagogically appropriate instruction featuring:

  • Real-world problems and scientific phenomena.
  • An experiential approach with lots of hands-on.
  • Explicit support for building oral language and early literacy skills.
A collage of four images: children doing a science experiment, a tree in a park, stacked building blocks and toys, and a child splashing water near a storm drain.

What students learn

Our program is comprised of three units: one life science, one physical science, one Earth science.

As students take on the role of a scientist or engineer to figure out real-world phenomenon, each unit:

  • Sparks curiosity and engagement.
  • Encourages students to wonder, think, and talk.
  • Builds a solid foundation for future success with science.

Look below for a summary of each unit.

A person helps a child with a ponytail. Another child examines a yellow flower using a magnifying glass. Caption reads Story of the Noisy Tree and describes children's curiosity and exploration.
Unit 1
Illustration of a vibrant park with a winding path, lush trees, and animals like squirrels and birds in a large tree.

Unit: Wondering About Noises in Trees

Student role: Life scientists

Phenomenon: Strange noises appear to be coming from the trees outside.

Unit 2
Colorful 3d illustration of various imaginative structures built with blocks, rings, and other toy components on a grassy area with a blue sky and clouds background.

Unit: Wondering About Buildings

Student role: Building engineers

Phenomenon: One class made a play city. Some of the buildings stayed up, while others fell down.

Unit 3
A child in yellow shirt and orange boots skipping over a puddle on a sidewalk next to a grassy area and a stream.

Unit: Wondering About Puddles

Student role: Weather scientists

Phenomenon: Puddles exist in some places but not in other places along a girl’s walk to school

Program structure

To meet the unique needs of little learners, our program follows a unique structure.

Each unit:

  • Begins with an Introductory Activity that
    introduces the phenomenon.
  • Includes a series of three Explorations that are comprised of a Kickoff Discussion, four activities, and a Shared Drawing and Discussion.
  • Ends with a Culminating Activity that consolidates students’ understanding.

Each activity is designed to span 15 minutes. Depending on how the program is implemented, an entire unit generally takes 4–6 weeks.

Diagram of tk curriculum structure, including life science, physical science, and earth science units, with detailed breakdowns of unit and exploration structures.

How teachers teach

When you’re ready, scroll down to take a closer look at sample resources.

Cover of a transitional kindergarten teacher guide for a life science module titled "wondering about noises in trees," featuring an illustrated scene with trees and animals.

Printed Teacher’s Guide

Our unit-specific Teacher’s Guides are chock full of helpful resources, including scientific background knowledge, planning information and resources, detailed lesson plans, tips for delivering instruction, differentiation strategies, additional classroom resources, and copymasters.

Teacher’s Guide

Girl listening to a tree trunk, book cover titled the noisy tree by ashley chose, with an orange background.

Big Books

Big Books contain vivid photographs and are used to introduce topics, facilitate group discussions, and support students’ firsthand investigations. Each Big Book is an integral part of instruction and is used multiple times for multiple purposes across a unit.

Big Book

Stack of white papers with a primary visible one labeled science question 1: why are so many noises coming from the tree? in black text.

Science Questions

Each unit includes three printed Science Question cards, one for each Exploration of the unit. The cards can be posted on classroom walls and support the class as they are introduced to and revisit the focus of their investigations over the course of an Exploration and, ultimately, the unit.

Two magazine cover mockups with the word scientist on the left and a tree photo on the right, both against a white background.

Vocabulary and Picture Cards

Each unit includes six or seven printed Vocabulary Cards and a set of colorful Picture Cards that can be posted on classroom word walls and concept walls. Cards are used for a variety of purposes, including gathering evidence, building background knowledge, and introducing the focal phenomenon.

S1-04: Connecting with students and caregivers in the science classroom: Ryan Rudkin

Promotional graphic for "science connections", season 1, episode 4, featuring a smiling woman named Ryan Rudkin, themed with science illustrations like atoms and a globe, highlighting how to engage students

In this special episode, our host Eric Cross sits down with veteran middle school teacher Ryan Rudkin. Ryan shares her expertise after almost two decades in the classroom, discussing ways to incorporate aspects of problem-based learning into the K–8 science classroom. Eric and Ryan talk about how to increase parent engagement, involve community members, and add excitement to lessons.

Explore more from Science Connections by visiting our main page.

Download Transcript

Ryan Renee Rudkin (00:00):

I know there’s other goals in mind, you know, standards and test scores. But at the end of the day, I wanna come back and I want them to come back.

Eric Cross (00:35):

My name’s Eric Cross, host of our science podcast, and I am with Ryan Rudkin, middle-school teacher out here in California just to the north up near Sacramento? El Dorado Hills?

Ryan Renee Rudkin (00:46):

Yeah. 20 miles east of Sacramento.

Eric Cross (00:49):

Nice. And I am down here in San Diego. And so Ryan, to start off, what I wanna do is ask you about your origin story, like a superhero. So how did you become a middle-school science teacher to become part of this elite profession of science folks that get to do awesome things with kids?

Ryan Renee Rudkin (01:08):

I would agree with you that it is definitely an elite profession. I got my credential and I thought I was gonna teach third or fourth grade elementary school. And the second day I got called for a sub job for middle school. And I just thought, “We’ll take it,” you know? And by second period, I knew: This is where I belong. The kids, middle school, students are just a species of their own. And you have to appreciate them. And if you do appreciate them, then you’re in the right spot. And I quickly looked at my coursework and I was able to get authorizations in science, history, and English, and I love science. So I chose science. And the rest is history. It’s been a wild ride and I wouldn’t have changed or asked for anything different. I love it.

Eric Cross (02:02):

I definitely agree with you. So, your history—you’ve been in various middle-school classrooms. Can you tell us a little bit about that? What classrooms have you been in? What disciplines of science have you taught or are currently teaching?

Ryan Renee Rudkin (02:14):

I was hired for seventh grade life science, and then I did that for a few years and then I got moved into eighth physical science, and I was there for 12 years. Love eighth grade science. I love eighth graders. Chemistry and physics are my favorite. There’s just so much opportunity for just awesome labs, great conversations, student discourse, all of that. And then the past three years I’ve been in sixth grade and now we’re integrated. So,a sixth grade integrated science and I also teach social studies and a technology design class.

Eric Cross (02:52):

Oh, nice. What do you do in your technology design class? That sounds cool.

Ryan Renee Rudkin (02:56):

Right now it’s mostly internet media and we use WeVideo, it’s an editing-video program, and we produce and put on our school weekly news bulletin. And then we weave in other projects. We do some interdisciplinary projects. Right now my students are working on a mythology God, Goddess, and Monster project that relates to our social studies curriculum. And we’re learning about Greece. So yeah, we just try to give them added projects and they’re using the WeVideo platform. By sixth grade, they’re coming to us now with wonderful skills with all the tech. I mean, if I need help, I ask them like, “How do you do something on Google Docs?” Or, “How do you do something on Drive?” The kids are definitely tech-savvy.

Eric Cross (03:49):

They must love being the teacher in the classroom. They get to—it kind of switches power roles, where they get to teach the teacher something.

Ryan Renee Rudkin (03:56):

Yes. And especially WeVideo, sometimes we’ve had some hiccups, and the kids show everybody, and that’s part of the design class. They’re trying to solve—we’re teaching them how to solve their own problems. So if there’s any kind of issue with anything with the technology, honestly, I usually tell them, “Go ask a friend,” or we kind of shout out, “Hey, who knows how to troubleshoot this?” And the kids are eager to help each other, which is nice.

Eric Cross (04:21):

And they have this authentic experience where they’re actually doing real problem-solving, as opposed to something that we manufactured. Like, those are real things that we have to deal with in life. And that’s exactly like how we solve it, right? We just go ask people! We look it up, and the ahas are genuine too. Throughout!

Ryan Renee Rudkin (04:36):

Yes, especially thinking on the fly. Especially yesterday, I was in the middle of teaching and my laptop froze, and it’s like, “OK, everybodytake a couple minutes, you know, work on this, this, or that while I switch out laptops!” And so I’m modeling, too, how to solve my own problems. And I think it teaches the kids how to do that too.

Eric Cross (04:59):

I’ve always thought it was interesting that when teachers get to teach in real time, how do we handle stress and frustration when it’s really happening? And I think the tech—at times, failure is the real one where you feel this chill or this sweat that kind of comes over you and you’re trying to present or cast or the video won’t play and things like that. I think I’ve done enough times in my years of teaching where now my students know what to do, or they want to come up and help, and we’re good with it. But I remember in the beginning when those things would kind of glitch or go wrong or the wifi goes down, and you’re like, OK, what do we need now?

Ryan Renee Rudkin (05:33):

I think it’s honestly, after the fact, when I think in the moment, I’m not thinking of feeling stressed, but just afterwards, then I’m like, “Oh my gosh, this has just been a wild day.” But yeah, you just have to kind of go with it. And that’s just the beast of middle school. I just added to the list of why we love it.

Eric Cross (05:53):

You said something about interdisciplinary work, and I wanna kind of ask about that. Because it sounds like you’ve had your hand in several different areas of science and grade levels. Working, doing design courses, working with tech. Are there certain lessons that are your favorites to teach? The ones that you really enjoy, or that no matter what, you’re like, “We need to do this; this is such a rich experience for students”?

Ryan Renee Rudkin (06:17):

Yeah. I definitely try to do lessons or activities along the way. I like to do projects at the end of my units. When I taught physics, we did a project and it was mainly an assessment tool called the Wheeling and Dealing. The kids, they would all get a different car. And then they to sell their car. And so they had to pretend to be a car salesman, and they did that with their knowledge of the physics unit. So everything we did on forces and speed and motion. So I like doing culminating projects like that. And you’re kind of tricking them into assessing them.

Eric Cross (06:57):

When I think about your car salesman project, I’m thinking of a bunch of students, but they’re like on Shark Tank, but they’re just littler versions. And they’re doing these sales pitches, but they’re speaking in scientific terms as they’re trying to do it. Do you record these or do they just exist in the classroom?

Ryan Renee Rudkin (07:12):

No…And that was a long time ago, when I taught eighth grade. I wish I had; I wish I had recorded. That was definitely—it was fun, ’cause the kids, they would get their little piece of paper and they—some of ’em didn’t know what car it was. And so they’re like “A Boo… A Boo-gatti? What’s a Boo-gatti?” And then someone from across the room would be like, “Ooh, I want it! Here, I’ll trade you my Ford Focus!” And <laugh> so they would kind of wheel-and-deal which car they would…and then once they got their choice, then they would do the project.

Eric Cross (07:44):

So they’re really embodying this persona of a car salesman. The wheeling and doing back-and-forth and trying to trade a Bugatti for a Ford Focus. <Laugh>

Ryan Renee Rudkin (07:53):

I know. <Laugh> I like to make my class, my learning environment, enjoyable. You know, I gotta be there; they gotta be there. So I know there’s other goals in mind—you know, standards and test scores—but at the end of the day, I wanna come back, and I want them to come back. And I just have that as a priority.

Eric Cross (08:18):

Well, based on the projects that you’re doing and the way that you approach education with students, I can see why middle-school students would want to come back, even if they had the option not to. Just because of the cool things that you’re doing. Now we’re on this—hopefully, fingers crossed—tail end of COVID in the classroom and schools, and I know it’s impacted all of us differently. Has student engagement changed since COVID and if so, how, and what have you done in these last two years to maybe adjust your approach, to continue that engagement and that richness that you provide for your kids?

Ryan Renee Rudkin (08:57):

I definitely—I think for me, I recognize that when the students are in my classroom, I want them to, I dunno, for lack of a better word, just escape the noise at home. And I know we’ve always had students that are going through divorce situations or their dog died, other things, but I think with COVID, it’s definitely been compounded. And just creating a safe place for the kids to want to be and…it’s hard. We’ve had a lot of students that have been out, absent, for various reasons and on quarantine. And they’re struggling with doing work from home, ’cause their parents are stressed and their parents are dealing with their work issues. And so I think just having grace for the kids and just keeping…I don’t know, I guess like I said, I’ve always had student engagement as top of my list.

Eric Cross (10:06):

It sounds like—the things I hear you say really have to do with who these students are as people.

Ryan Renee Rudkin (10:12):

Yeah.

Eric Cross (10:13):

And then as a second, who they are as students. How do relationships fit into your engagement? ‘Cause I’m hearing this connection that you seem to be making with kids as you’re talking about things that are beyond academics: their home life, how they’re impacted.

Ryan Renee Rudkin (10:28):

Yes.

Eric Cross (10:28):

Is there anything that you do to build these relationships, or to connect with your students, to make them feel wanted or feel connected to the classroom or to you?

Ryan Renee Rudkin (10:37):

Yeah, I do. I do a few things to build those connections. And again, this timeframe in their life is so out of their control, their peer relationships, relationships with their parents. And when they’re in my classroom, I want them to feel loved and appreciated. Something I do it’s called Phone Fridays. And in one of the social media groups, someone posted about it, and I’ve been doing it for over a year now, actually. So on Fridays I call parents and give good news. And so I’ll pick maybe one or two students. And it could be academic reasons. It could be behavior, I’ve seen a slight improvement of behavior. Maybe a role model in the classroom. And my goal is to get everybody every trimester. So everybody gets a phone call by the end of the trimester. And it’s funny ’cause sometimes the parents are a little like “Uh-oh”! When they pick up, they see the caller ID, and their school’s calling. ‘Cause Some kids don’t get good calls. So it’s a really—I would say every single parent that I’ve called, I usually get a follow-up email, either to me or my admin, just saying it’s such a cool idea I do this; thank you so much. And yeah, I just call and give good news and just put ’em on the spot. And usually the kids are a little embarrassed, but you can tell, even though they’re kind of—I think they’re faking it, that they’re embarrassed! ‘Cause You know that they got the Phone Friday, and everybody’s like, “Who’s gonna get the phone Friday?!” And so it’s a very big deal in my class.

Eric Cross (12:07):

What a great way to—I mean, it seems like that hits on so many levels. You’re making these positive calls home. You’re praising publicly, which a lot of times can happen where students can get criticized or redirected publicly and then praised privately, which is a lot of times the reverse what we should be doing. But here you are praising them publicly. And then you’re not only building a relationship with yourself, but you’re also connecting them with their parent or whoever is caring for them, because now when they go home, there’s this, “Hey, your teacher called; you’re doing awesome!” So it’s this kind of triangle that’s forming there. I think that’s super-cool and a great thing for teachers to do.

Ryan Renee Rudkin (12:45):

It takes, you know, the last five minutes of my class. I do it every class. And then I have a system. Like I said, I keep track of all the kids. That way, by the end of the trimester I’ve gotten everybody. Sometimes I let the students, whoever I call first, then I let them pick a peer and I tell them, “OK, we have to have a solid reason. Why are we calling?” And a couple times they’ll have a student, like one of my energized ones, they’ll raise their hand. “How About me? How about me?” And I and the kids kind of laugh a little and I said, “Well, how about this? Let’s make a goal. How about next week we’re gonna make a goal and we’re gonna have a reason to call home.” So just working on the kids that need a little push in the right direction. That’s other reasoning to it. But yeah, it’s fun. I love it.

Eric Cross (13:33):

And you have the community. You have this goal setting. We were talking a little earlier about this transition—so you’re becoming this…your school’s going through the IB process, is that right?

Ryan Renee Rudkin (13:44):

Yes.

Eric Cross (13:44):

And we were talking about the ATL skills and one of them is goal-setting management. You already kind of organically do this in your classroom, which is really neat. I know being an IB teacher, a lot of times I find the things that I’ve already been doing and find, “Oh, this is actually an approach to learning!” or “This is something that has a title!” I just thought it was just being helpful! Ah…So the kids are connected. You have this process where you’re calling parents; it’s working; students are involved, so it’s building this community. Now you’re engaging students. Do you have any favorite student engagement tools that you use in your classroom or when you’re teaching that you feel like you get a lot of bang for your buck? There’s so many things out there these days. And so many approaches, tools, web apps. Do you have any favorites that you use?

Ryan Renee Rudkin (14:40):

No. Nothing comes up top of my mind right now. Mostly just projects, like I said. And being excited. I think having my students see me excited about something…and I’m honest when we’re doing something that’s not quite my favorite, then I’m honest about that too. But just having my—like, we just started thermal energy this week and I told my students, I said, “OK guys, I’m gonna weave in some chemistry in there. I’m gonna weave in some particle motion,” and they’re like, “Oh! That’s when you taught eighth grade, huh!” Cause I talk a lot about when I taught eighth grade before. I don’t know, just showing my own enthusiasm, I think, is a good payoff to me. That’s a bang for your buck. Other things…I try to give ’em cool videos and Mark Grober, he’s definitely a favorite of mine I like to show my students. I like to bring in guest speakers from our community. When I taught eighth grade for physics, I always brought in a local CHP officer and they would bring in the radar and lidar guns and the kids would mark off the parking lot and they would calculate their speed. And then they would verify it with the radar gun. Two years ago when I taught math, I brought in a local landscaper company, a father-and-son outfit, and they showed the kids how they would do bids on jobs. And so, relate it to our chapter on volume and area. So just making that connection with real life. Plus it’s just a nice opportunity, too, for the community to come in. With our design class, put on our newscast. And then one of our units in our sixth grade curriculum is weather. And so I brought in a local weatheruh, chief meteorologist. And he actually talked to the students about his job as a meteorologist and then also being on the news and putting on a newscast. So we got him on our green screen and did a little like Mark Finan, you know, little cameo on our newscast for the week for school. So that was kind of cool.

Eric Cross (16:45):

They must have been excited.

Ryan Renee Rudkin (16:47):

Yeah. They’re pretty starstruck by him. So that was pretty fun.

Eric Cross (16:51):

This person was on their local news? So they would know him?

Ryan Renee Rudkin (16:56):

Yeah, he’s on Channel 3 out of Sacramento. Yeah. KCRA Channel 3, Mark Finan.

Eric Cross (17:00):

So all these guest speakers that you have…how do you reach out to these people? And you sound like you get a lot of success. Do you ever get nos? Like if I’m sitting here listening and that inspires me, but you’re getting celebrities and you see a few people…like, how do you reach out to them? And does everybody say yes? How does it go?

Ryan Renee Rudkin (17:21):

Well, usually at my back-to-school night, I always ask the parents if they have a career or hobby that could lend itself to the curriculum. And so sometimes I’ll hear about—students will talk about, like, “My mom’s a doctor.” And so I’ll reach out to parents and just say, “Hey, you know, your kiddo said, you’re a doctor. May I ask what type?” And most of the time the nos that I’ve received are just because of schedule conflicts. You just have to get creative! Look in your community and see what you have. People want to come and talk to kids. I’ve had some presentations that the person is so intelligent and amazing, but they just, weren’t very kid-friendly. I mean, that happens. Butsomeone knows someone. And just ask! I mean, it doesn’t hurt to ask to have ’em come out, come hang out for the day, with my students. Andone time I had a nurse practitioner she was in the cardiac unit. And so she brought in hearts and led a heart dissection with my students. And we did a station set-up. I’ve had elaborate ones like that, or just a mom come in to tell my students about her job as a nutritionist and relate it to our unit on metabolism. And so just did like a little 15-minute Q&A with the kids on nutrition. And I would just say, look at your community and/or post on social media. I always do that. Post in your school’s PTA groups. So the parents know someone, that’s for sure. Or someone’s retired. One time I had—I think he was a grandfather of one of the kids—he was into rocks. And he had a bunch of meteorites <laugh> and brought in his meteorites.

Eric Cross (19:15):

Bring in your rocks!

Ryan Renee Rudkin (19:15):

I know! Right? And he <laugh> just brought in his meteorite collection! I was like, sure, come on in!

Eric Cross (19:23):

That’s one of the things I love about being a middle-school teacher is that my students have such varied interests and I’ll get the Rock Kid every once in a while and he’ll come in and he’ll have all these rocks and crystals. And a lot of times there’s a grandfather that’s responsible for this inherited geologic treasure that they have.

Ryan Renee Rudkin (19:45):

Yeah, something like that—I mean rocks are not my favorites, but I don’t really tell the kids that. I was like, “Sure, yeah, come on in! We can have a whole-day lesson on rocks!”

Eric Cross (19:55):

<Weakly> “This is great!”

Ryan Renee Rudkin (19:58):

Just utilizing your resources. That’s all it’s about.

Eric Cross (20:02):

Well, I think the back-to-school night was really helpful. That’s something that’s super doable. You have a bunch of parents and you just simply ask, “Who do you know? What do you do?” And then just collecting that and then just asking people to come in. I’ve I’ve been reluctant to do it more often than I’ve wanted to, because I haven’t figured out—and maybe you can help me with this—I have three class periods a day plus other class periods that are not necessarily science. And I don’t want to dominate a person’s schedule. Do they tend to be willing to stay all day? Or do you do, one class gets it, and you record it? Like, how do you balance out the speakers with your school schedule?

Ryan Renee Rudkin (20:39):

Mostly they’ll they’ll just come for the whole day. When I taught eighth grade, I had five classes, so that was easy. That was an all-day thing. And then usually I’ll offer to call lunch, have lunch delivered, or snacks during the day. I mean—

Eric Cross (20:53):

Feeding them is key.

Ryan Renee Rudkin (20:54):

Yeah. Just something kind of nice. Donuts in the morning. I mean, you’d be very surprised. Most people that are in the field or retired, like I said, they’re more than willing to come. And even if they have to wait an hour, while you teach another class that doesn’t pertain to it, then they’ll either leave or come back or just hang out in the back and pretend to be a student during that history class that you have.

Eric Cross (21:20):

It’s my own limiting belief where I feel guilty. I don’t think about it. I need to think about it through the perspective that you do, that these people WANT to talk. I just assume everybody’s so busy. But I do know, the times I’ve had speakers come out, at the end of the day, they’re so energized or they’re so happy or they’re so grateful. ‘Cause They’re like, “This is what it’s like to teach every day?” I’m like, “Yeah, this is what it’s like.”

Ryan Renee Rudkin (21:42):

I think too, a lot of parents…usually being being in the stops at elementary. A Lot of parents don’t get the opportunity to come help out in the classroom, because the middle school kids, you know, it’s not very cool or it’s just not needed like in the elementary classes. So a lot of times, like I said, you’d be surprised. A lot of the parents they’re more than happy to come and hang out. And again, some students, they don’t want their mom or dad to be there, but then I talk it up. I’m like, “Everyone’s gonna be so like impressed that your dad’s a doctor,” or “your mom’s a doctor” or —so then I kind of like downplay it. Like, “Oh, whatever, you’re you’re faking it. It’ll be fine. Don’t be embarrassed.” Leading up to their parent coming into the classroom.

Eric Cross (22:36):

Right. Kind of redirect that energy toward something positive. With guest speakers, projects, pacing, all these awesome things that you have going on, how do you find balance as a teacher, as a person? And what encouragement would you give to new or aspiring teachers? We work in a profession that will take as much as you give it. And you fall asleep at night worrying about other people’s kids and we love it. And teachers by personality can just give and give and give and give. But in order for us to last—I’m thinking about those new teachers who are going into it, who are gonna go in and be there before the sun gets up and stay after the sun gets down. How do you maintain balance, taking care of yourself? You’ve been in education for—how long have you been teaching for?

Ryan Renee Rudkin (23:29):

Sixteen. This is my 16th year.

Eric Cross (23:31):

Enough to be that veteran. So how do you find balance? And then, what encouragement would you give to new or aspiring teachers?

Ryan Renee Rudkin (23:39):

I would say each year, pick one or two things to add on. You can’t add on 10 things, even though you’re gonna find 10 things that are awesome. But just make a little list, put ’em in a file, and every year, just get good at what you do and then just add on one or two things. And reflect on what’s not going well that you can get rid of to make room to add something else. Try to be patient with yourself. And don’t reinvent the wheel. There’s so many things out there that you can borrow and make it your own. Again, I think that’s a time-saver, just leaning on your colleagues. And take lots of notes, because then when you do it again next year, you can refresh yourself and, “Oh yeah, this lesson, wasn’t the best…” What can you add in to make it a little bit better? And yeah, I would say just take on one or two things each year. And then by the time you get to, you know, being a veteran, you can do all these awesome things and it’ll feel natural ’cause you’ve been practicing and just adding in one thing at a time. I coached Science Olympiad a bunch of years ago, and Science Olympiad is so rewarding. It’s just so amazing.

Eric Cross (24:59):

What is Science Olympiad, for the people who’ve never heard of it?

Ryan Renee Rudkin (25:03):

Oh, Science Olympiad is so awesome. Google it. I think it’s just ScienceOlympiad.org. It’s 23 different events across all disciplines of science, different topics. And then you have a team of 15 students. And so your 15 students have to cover the 23 events. So for example, if the student’s on the anatomy team, usually there’s a team of two kids they’re gonna study and learn. They provide all the rules and the guidelines. So the students learn and study whatever the parameters are for that year. And then they take a test. And then they compete against other schools. And there’s build events, the engineering events, they can build things like trebuchets matchbox cars or mousetrap cars. Oh gosh, there’s all kinds of things. There’s like a Rube Goldberg device. It changes every year. And it’s so rewarding to see the kids; they pick their area of science that they love. And sometimes you have to put them on an event that they don’t know, and then they end up loving it. It’s so rewarding as a teacher to see these kids that are just on fire and you know that one day they’re gonna go off and do amazing things. They just commit. They commit to their event. And then they blow it outta the water and they win medals and just the recognition…it’s super, it’s just an amazing program.

Eric Cross (26:42):

One of the competitions that’s really low-tech that I’ve taken into my classroom is Write It, Do It. Have you done that one before?

Ryan Renee Rudkin (26:50):

Oh, yes. Yeah. That’s one. Yep.

Eric Cross (26:52):

It’s such a low-tech, simple one to do, but it teaches such great skills. And for those people who haven’t heard of the Write It, Do It project, you create kinda some abstract art out of random crafts. That’s very difficult to describe. You have pipe cleaners and foam and balls and you know, all these different things. And you make it. And then one person on the team is the writer, and they look at it and they write the procedures, and then their teammate, who’s in a different room and doesn’t get to see it, gets all the materials to build it and the procedures, and they have to rebuild it as closely as possible to the actual original. Even though they don’t get to see the original. So they have to rely on their partner’s ability to write procedures step-by-step. And it was fun to watch my students become teammates in that. And they learned how to communicate in a really fun competition. So I expanded it to do it with all of my students as an activity, just to teach them how write descriptively, to write procedurally, to be technical writers. And it’s, it’s fun! It’s fun to see what they build based on what the students say. <Laugh> And it’s also fun to watch them interact with each other, which for seventh graders, usually it’s conflict. <Laugh> But, like, playful conflict. <Laugh> It’s pretty funny to see what they build.

Ryan Renee Rudkin (28:11):

They’re like, “Man, what are you talking about? That doesn’t mean this; it means this!”

Eric Cross (28:16):

<Laugh> I know part of me feels guilty, but not enough to stop the project. ‘Cause I know for some of ’em, it’s gonna be a really trial by fire being able to practice their skills with writing procedures.

Ryan Renee Rudkin (28:27):

But they’re learning among themselves how to provide more details and to be more thorough with their writing and and their thoughts, put their thoughts onto paper. So yeah, that’s a funny event. Definitely.

Eric Cross (28:41):

Earlier you had mentioned something about connecting your kids with kids and students outside of your classroom. What is it that you do with that? Because I thought that was a really cool project. Can you speak to that a little bit?

Ryan Renee Rudkin (28:57):

Yes, I’ve done—they haven’t had it in a few years, but there’s something called the Pringles Challenge. And if you Google that, I’m sure it’s on the Internet still. So you sign your class up, or your classes, and you get partnered with another school somewhere in the U.S., someplace else. And you decide individually teams, whatever they build. And they make a package to ship a single Pringle chip through the mail. And then you actually mail a Pringle chip through the mail. And then your partner team or partner school, they send their chips to you and then you open everything and then you can take pictures and video. And then there was a whole scoring process where you would score when you receive the chips. And then you input all the data on the website so you can see like how your—and most schools would trade pictures, so that the kids found out how their chip survived. March Mammal Madness is so much fun. Again, Google that.

Eric Cross (30:01):

Did you say March Mammal Madness?

Ryan Renee Rudkin (30:02):

Yes.

Eric Cross (30:03):

Like March Madness, with mammals?

Ryan Renee Rudkin (30:05):

Yes.

Eric Cross (30:05):

  1. What is this?

Ryan Renee Rudkin (30:06):

It starts up in March. And you can sign your students up. And that one—it’s not too interactive with other schools, but this is opportunity to get the kids interacting within your site or within your district. Or if you have teacher friends at other schools. There’s like 60…I think it’s 64 animals? And they have this massive bracket that they post. And then you can have the students, I did it—it would be very time-consuming to have the kids individually research each animal. So I just gave one animal per student and so as a class we researched all the animals and then, I think it’s every three days or so, they have these bouts. And it’s all posted on YouTube. Google it. It’s kind of fun.

Eric Cross (30:56):

I’ve already got the website up, ready to go! Folks, everybody who needs to Google this: <articulates carefully> March Mammal Madness. And is it Arizona State University? Is that the main site, ASU?

Ryan Renee Rudkin (31:04):

Yes.

Eric Cross (31:04):

So people, listen to this. Check it out. March Mammal Madness. Look, I’m doing this! I’m already,—you’ve already sold me on this.

Ryan Renee Rudkin (31:14):

It is so much fun, oh my gosh. And then, then the kids—each round, they pick their pick, just like basketball. They do their picks and then you wait for the video. And they do it live on—I think it’s live on Instagram, or the next day on YouTube. And then the kids get all excited. And then usually the kids, whatever animal they got as their research animal, they’re rooting for that one to win, the whole thing.

Eric Cross (31:42):

But we still have time; we still have time to—

Ryan Renee Rudkin (31:45):

You can jump in anytime. Even if it’s already started, you can jump into it. It usually lasts—I believe it’s a two-week from beginning to end. When they do the first round, the wild card, and then all the way to the winner, I believe it’s a two-week process. Oh, maybe three, actually.

Eric Cross (31:59):

I’m already seeing this lead-up to the video being watched in class to see…I’m already thinking about like, “How do I prevent my students from finding the video?” Or like, “When does it go live so that I could be the one to show them so they didn’t go find it early?”

Ryan Renee Rudkin (32:13):

It takes time out of the class, but I believe it’s one of those things where you have to just…it takes 10 minutes out of the class, but it’s important. So when they each round and then the next day, they release the YouTube video. Last year, when it got down to the final round, we were on spring break. And so I told my students, “You guys, let’s do some optional Zooms. And so I had a bunch of kids log on and we all watched the videos together. So that was kind of fun. And then this year, the other thing, the first time I’ve ever done this and it’s going really well is—on social media, I was talking with one of the teachers from Ohio who teaches science and she and I decided we’re gonna do penpals for our students this year. Paper-And-Pen penpals. So that’s been a lot of fun. We just partnered up all the students, her students and my students, and once a month we send and receive the letters to each other. So that’s been a really cool experience.

Eric Cross (33:14):

If you keep doing that, and you need more teachers to be involved, can my students be penpals with your students?

Ryan Renee Rudkin (33:20):

Yeah!

Eric Cross (33:20):

If you open it up to more people? I think that, to get a letter, old-school? Letter in the mail? It would be so exciting.

Ryan Renee Rudkin (33:28):

It is. We mail them, the teacher and I, we just put them all together in one package. But yeah, it’s an actual handwritten letter.

Eric Cross (33:37):

The only letters I feel like I get in the mail now are bills.

Ryan Renee Rudkin (33:42):

Right? Exactly.

Eric Cross (33:42):

But I feel like the digital version of that is if someone calls me, it’s probably bad news. I don’t know if I’m the only one that’s like that, but I’m like, “Who’s calling me? Why aren’t you texting me? What’s going on? Text me first, then call! I need to know who’s going on, and if you’re unknown, you’re going to voicemail.

Ryan Renee Rudkin (34:00):

Exactly. The penpals has been a lot of fun.

Eric Cross (34:03):

You’ve been in education for a while. You’re on the other side of what it’s like to be a student in the classroom. Which can be surreal in itself, when we think about our own experiences as being a student. Is there a teacher or a learning experience that’s had an impact on you while you were a student in school that really stands out to you? And you can interpret the question however you want. But is there someone that’s memorable or an experience that’s memorable that you still carry with you today?

Ryan Renee Rudkin (34:32):

Definitely. My favorite teacher, and we actually still keep in contact on social media is Mrs. Sheldon. She was my fifth and sixth grade teacher. I had the pleasure when I was in elementary school, I was in an all-day contained GATE class—Gifted and Talented Education class. I vividly remember doing so many amazing projects. We built this big, giant—she brought in a big ol’, like, TV box. It was big, big, big. And you could stick like three kids inside there, standing up shoulder-to-shoulder. And we built this big dragon. The head, and we had the whole rest of the class in a big sheet behind us, and we would do a little parade around the school. And she had that thing for years after. They had to repair it every year, and they would do the little parade around school. She did a lot of traveling and when we would go on vacation and then come back, that was always the big deal: “Where did Mrs Sheldon go?” And she had sand from Egypt and pictures from the rainforest. And later when I became a teacher and then I looked her up and we reconnected I did ask her, “Did you go to those places? Or did you, like, lie about it? <Laugh> To get us engaged?

Eric Cross (35:52):

You went for the real questions!

Ryan Renee Rudkin (35:54):

I did. And she laughed and thought that was funny. And she did travel for real. But yeah, she’s an amazing woman. We still keep in contact. And I remember, you know, little things…like we would be out there doing our PE time and she’d have her long skirt, you know, dress on, with her tennies, and she’s out there playing kickball with us. Just a very kindhearted, smart, amazing woman. I’m very fortunate and I’m grateful that we are able to keep in contact. Love social media for that reason. So.

Eric Cross (36:33):

Yeah. And that’s Miss Sheldon?

Ryan Renee Rudkin (36:35):

Mrs. Sheldon. Marlene Sheldon. Yeah.

Eric Cross (36:37):

Shout-Out to Marlene Sheldon influencing the next generation of teachers, with engagement with your world travels and all those different things.

Eric Cross (37:04):

Ryan, thank you so much for one, serving our students. And in the classroom, our middle-school students who need us. I think that middle school especially, elementary school, those years are when students are really starting to decide, “What am I good at?” And the experiences that we create for our students really shape what they believe they can do. These really cool, engaging experiences, these projects that you’re giving them, whether they’re doing these car sales, Shark Tanks, or they’re doing penpals, or you have guest speakers, or they’re designing planets. These are things that students don’t forget. And then when they move on to higher grades, they remember more than anything, I think, how they felt about something. And it sounds like you’re crafting these awesome experiences. And so I just wanna thank you for your time. I know as a teacher it’s very short. And I thank you for being on the podcast with us.

Ryan Renee Rudkin (38:04):

Thank you. This has been a great experience. I just—I really enjoy my students. And I feel very, very grateful and very blessed for finding where I belong.

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What Ryan Rudkin says about science

“I like to make my class and my learning environment enjoyable. I know there’s other goals in mind… but at the end of the day, I want to come back and I want [students] to come back. It’s so rewarding as a teacher to see these kids that are just on fire… and you know that one day they’re going to go off and do amazing things. ”

– Ryan Renee Rudkin

Middle school science teacher

Meet the guest

Ryan Rudkin is a middle school science educator near Sacremento, California. Although she originally thought she would teach elementary students, Ryan connected with middle school and never looked back. Now in her 16th year in the classroom, Ryan also supports teachers in her district with professional development. Ryan’s favorite part of teaching science is seeing students grapple with concepts and explore phenomena.

A woman with shoulder-length blonde hair smiles at the camera, wearing earrings and a dark top. The background is blurred green and gray.

About Science Connections: The podcast

Welcome to Science Connections: The Podcast! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher.

S1-08: The importance of risk-taking in the science classroom, a conversation with Valeria Rodriguez

AS_Podcast-S1E08-Valeria-Rodriguez_Cover

In this episode, our host Eric Cross sits down with Miami-based educator Valeria Rodriguez. Valeria shares her journey of serving in the Peace Corps, working a corporate job, and eventually finding her passion as a middle-school science teacher. Listen in as Valeria explains how sketchnoting, a form of note-taking that utilizes illustrations, encourages student choice and creativity in her classroom. Eric and Valeria also discuss the importance of risk-taking within the science classroom, and how their own mistakes can be crucial in modeling resilience for students. Lastly, Valeria shares experiences she had with several teachers who inspired her throughout her career. Explore more from Science Connections by visiting our main page.

Download Transcript

Valeria Rodriguez (00:00):

There’s so many things that drawing to me makes an essential connection to. It tells me no matter what, I can continue placing lines on my paper and creating the image I want. Some people will say they messed up the drawing. You know what? They gave it character.

Eric Cross (00:19):

Welcome to Science Connections. I’m your host, Eric Cross. My guest today is Valeria Rodriguez. Valeria is a science educator, instructional technologist, and illustrator, who is currently part of a steam team where she teaches third through fifth graders in Miami, Florida. Valeria has presented and led workshops at education conferences like NSTA, ISTI, and SXSWEdu. In this episode, we discuss how she uses real-world projects to make lessons more meaningful, and why teaching students how to sketchnote increases their conceptual understanding in science. I hope you enjoy this pun-filled conversation with Valeria Rodriguez.

New Speaker (00:58):

Now you’re in Miami and you have a biology background. We’re like kindred spirits. Like we do the same thing. I teach biology here in San Diego at a middle school called Albert Einstein Academy. So I’m in a seventh grade classroom teaching life science.

Valeria Rodriguez (01:11):

That’s so cool. That’s how I started.

Eric Cross (01:13):

Is it?

Valeria Rodriguez (01:13):

Mm-Hmm <affirmative> I started teaching middle school science for seven years, doing life science in my biology background.

Eric Cross (01:20):

How’d you get started? Like where did you kind of begin?

Valeria Rodriguez (01:22):

Well, I went to UF for undergrad as a runner, and I thought I was gonna go to the Olympics, but you know, running in college is hard. And you quickly like realize a path as a full-time athlete is really hard. And one of the days that I was having one of those, like “come Jesus moments” of what am I gonna do with my life, I walked by a sign that said life is calling. And I’m like, okay, <laugh>

Eric Cross (01:52):

You literally had a sign.

Valeria Rodriguez (01:53):

There was a sign. So I was like, I’m reading the sign. I’m following the arrows. And it was for the Peace Corps. And so I went to this meeting and everything that I’ve ever done student government, athletics school education, my backgroundmy family’s from Columbia–everything in that meeting came together and they’re like, we need all these skills. And I’m like, I have those. Those are my skills. And they’re like every Peace Corps volunteer teaches. And so I went in as an agriculture volunteer to Panama because of my major and my background in biology. And while I was in the Peace Corps doing the work, I was teaching at the local school. And I realized that the most sustainable way to create any change is through education. When I came back, I was like, well, what do you do if your first job in the world is in the Peace Corps? Like my background was, you know, managing a machete in a field and teaching second through eighth grade in one classroom, on a chalkboard, you know, in English and in Spanish, while teaching the teacher and the students. So I found that going into teaching allowed me to put some of those skills, that wide array of skills that I had collected until that moment, into practice. And it allowed me to do the arts, do the running, do the science, do the connecting with the community in one place here in the states.

Eric Cross (03:34):

I don’t know if I’m just romanticizing, but you were in Panama and you were doing this amazing teaching. I don’t know. Do you compare it to teaching now in the classroom? Is there anything that ever like makes you wish that you were kind of in that environment again? Or are you kind of, do you like the more kind of technology side of things?

Valeria Rodriguez (03:48):

I tell my students all the time that I miss it, because when I was in Panama, I was in Licencia. They looked at me like this, all knowing being. If they couldn’t come to class because the kids literally had to work, they would bring me their assignment, like run it to me and then run back to their parents. Like, “I had to turn it in, but I have to go to work.” And I’m like, oh my gosh. And like here, sometimes I feel like, you know, I have to negotiate and convince my students to want to give me their work. And maybe it’s because we take a lot of things for granted. I mean, I didn’t have running water in my community. Here, you know, we have everything. I miss how we appreciated — like, my parents would send suitcases of materials for me to hand out to my students, like color and stuff, notebooks, things like that — and the kids would like, hold that notebook, like pristine and here sometimes my students aren’t as careful with materials. And I’m like, why are you breaking the crayon box? <Laugh>

Eric Cross (04:54):

I’m thinking about that. Just even just bringing pens and crayons and how that’s valued. And then a culture that’s built around esteeming teachers, and you’re this essential member of the community — and you feel that. It’s palpable.

Valeria Rodriguez (05:08):

Yeah. And here, sometimes I ask students like, what do you wanna be when you grow up? And you get all sorts of answers, but in my community, it’s gonna sound funny, but they were like, we wanna be a teacher. Like, that means that we would know a lot of stuff and they would put their hair up in a bun, ‘cause I always have it in a bun, and they would write stuff when they were playing and they would act me out <laugh> and I’m like, do I, do I do that? <Laugh> I genuinely got a very rich experience in the time that I was there. And what I learned the most was how to try to not do as much, it’s like a lesson that I’m still trying to learn because like I’m here with the U.S. Mentality of go, go, go.

Valeria Rodriguez (05:58):

And they’re like, but we already did, you know, two things like now we stop. And I’m like, but, but why? And they’re like, you can do that tomorrow. And I’m like, but no, like we’re gonna run out of time. For me. It was a lot of struggle of like slow down. And as a teacher, I feel like I’m always like on the treadmill at a thousand speed. And sometimes I have to tell myself like slow down, be in this moment, like a parent texted me today that her daughter was walking with her dad and said, daddy, let’s talk about the layers of the soil. And I was like, I need to stop right now and acknowledge that this happened. She’s in third grade and she’s asking her dad, you know, she could ask him about anything, and she’s asking him about soil. That’s essential for everything. And we don’t even think about soil here. Like my community had tons of erosion and every year there were less and less crops being able to be produced. We’re not talking about that here. And yet, my student asked her dad here in Miami, <laugh> about soil. And that conversation happened because of our class.

Eric Cross (07:03):

And you allowed yourself to be present and experience and feel that that communication came to you.

Valeria Rodriguez (07:09):

Yeah. We put so much stuff out there and we don’t know where it lands. If it lands on dirt or soil, <laugh>

Eric Cross (07:16):

There you go. I like it. Yeah. Bringing it back. But you’re, I think you’re what you’re saying. Resonates with a lot of educators that’ll be listening to this is that there’s so much that you do. And there’s even times when we do get the feedback, there might be a letter or a card or something, but like, to your point, like we look to the next thing instead of stopping, being present and allowing yourself to absorb it. I think I need to put that up on my, like on my wall, like this, just be present. Now you came back and then you went into the classroom here and you started off teaching science.

Valeria Rodriguez (07:46):

I didn’t go straight into the classroom. I knew that I wanted to continue teaching. But I wasn’t back here in Miami. When I moved back, I moved to Austin. And I ended up getting married and there, I started teaching Spanish as a second language like corporate classes. And I was kind of like tiptoeing around, like, do you dive into education? ‘Cause The idea of a teacher here is very different than the teacher idea that I had while in the peace Corps. So he, a lot of people were like, you can do so many things. Why would you teach? And I was like insulted <laugh>. I was like, wait, what do you mean? Like even to this day, I’ve started a blog post, maybe 20 times with that statement because people all the time are like, you’re so talented. Why do you teach? And it drives me crazy because it makes me feel like they’re looking down on my choice <laugh> but I came to terms with it that it’s just like a societal thing. Cause of that quote, like those who can’t do teach. And I was like, let me let this go.

Eric Cross (09:01):

I find though that educators who come in as a second career, come in with a, a, a variety of skill sets that I, I think you can only get when you’re outside of academia. I mean, you can, you can develop them, you know, going kind of K12 education college and then into the classroom. But those soft skills, the business skills, a lot of those things you really develop. And it’s funny ‘cause your, your story almost sounds like some of the people that I know that work in big tech firms, they have this eclectic story and then now they’re, you know, working for Google or Facebook or something, but that actually was a as set to them because they are able to see the world through multiple perspectives. And I’m hearing kind of a distinguish between art of teaching and the science of teaching. Like you had the, maybe the art connecting ideas, these things, and then the science, like the quote unquote like formal teaching. Okay. That had to get built on later. Like am I hearing that right?

Valeria Rodriguez (09:55):

Yeah. The that’s what rocks I’m teaching the rock cycle right now. So I’m, I’m under a lot of heat and pressure <laugh>

Eric Cross (10:02):

We got the funds, we got the funds rolling. All right. All right. So bringing in the, so the, the art side or the science side we have, and then we just have this amazing illustrator. Now you mentioned your website and we’re gonna post it somewhere, but just so we have it here to, and you say, what is your website where all your majors and sketch notes can be found,

Valeria Rodriguez (10:21):

Www dot Valia, sketches.com.

Eric Cross (10:23):

Okay. So folks that are listening, if you wanna check out the art, there’s some awesome stuff on there, as well as Twitter and Instagram. And we’ll make sure we have it handles in the, the bio of the podcast and the notes. Your art’s amazing. I looked, I checked it. I saw inauguration. I saw astronauts. I saw all kinds of different things. How do you use that in the classroom

Valeria Rodriguez (10:45):

To draw connections? The ones? So what I do is I airplay my iPad onto the board. And sometimes as I’m talking, I’ll draw things, draw things I’m saying, or assignments I’ll sketch out different ideas, or maybe like the schedule I’ll have an icon of some sort that represents things. I use it for everything and anything, because just the way that I tell my students that science is everywhere. I, we don’t realize how programmed we are to use images to for, for information they’re in the street. Bathroom signs, we see the zoom little link, like the image, the icon of zoom. And we know that it’s a call the apps. You know, our phone doesn’t have the words for everything that we’re opening. We just have a list of images that represent information. So we’re programs for this. And all I’m doing is showing my students how we’re programmed for it because we’re so used to seeing images, to represent things that we’re taking it for granted again.

Valeria Rodriguez (12:03):

And sometimes my students will like, I’ll write something and I ask them, make your own visual vocabulary. So I give them the word of the definition for every unit, the younger ones, I give them the definition they have to plug in the word and an image, the older ones, I give them the word they have to plug in the definition and an image. But I don’t tell them what to draw because they need to create an image that will help them to remember the definition. Not me. I tell them, I wrote the list. I know the words, you’re the one that needs to think of something that’s going to help you to remember this. You need to draw a connection to this information. Like I use it and I mess up all the time. And I, I scratch things out because I feel that my students or the student that I’ve had in general are risk averse.

Valeria Rodriguez (12:57):

They don’t want to make mistakes. And drawing is one of those things that it taught me that it’s okay to make mistakes. Like people won’t buy commit to buying houses or they won’t commit to things because they’re gonna make a, I’m like, you can sell the house. You can move again. I mean, I’ve lived in a lot of cities. I’ve been married, divorce, gone out with people. It’s worked out it hasn’t you know, there’s, there’s so many things that drawing to me makes an essential connection to <affirmative> that it tells me no matter what I can continue placing lines on my paper and creating the image I want. And if a line doesn’t necessarily go in the direction, I want it to, I can continue shaping it so that the overall image is in the direction I want. And I can look past those line here and there that some people will say they messed up the drawing. You know what? They gave it character. I, I cycle and I have scars everywhere. They give me character and I keep writing. The overall image in my head is I’m a cyclist, not I’m banged up. <Laugh>

Eric Cross (14:14):

I feel like there’s so much to mind in what you just said. This was like a mini-Ted talk. And I couldn’t write fast enough because there were so many gems of the things that you said, but let me say something worse. And this is I’m gonna be surface with this because, and it’s your fault because you got me thinking in puns and you said, take it for granted. And I said, take it for granted because you’re talking about the rock cycle. So that’s what I heard way back. Anyways, you have your students creating what, but it’s low tech, which is really cool because a lot of times we think of creating content and it’s kind of high tech, but they’re creating something. And this is for us, like as biology folks, like you’re using kind of like this neuroscience that exists about students, creating an art to help them learn.

Eric Cross (14:55):

And this is something that I, I feel gets missed a lot in. When we talk about the quote unquote, the formal teacher training is the element of how creating an art can actually lead to improved learning in the classroom. It’s something you have to go to like a conference to kind of go and see or something, but it’s not as, it’s not as pervasive everywhere. And that thing about risk averse. I feel like I, you spoke to my own life. What I see ‘cause with my own seventh graders, I see the same fear or anxiety when I ask them to draw. As I do, when I ask them to give me a hypothesis about a phenomenon that I’m gonna teach and I say, it’s okay to be wrong, but I see them drift to the Chromebook and want to Google it. You know what you just said about just try it and you can always change and giving character, I feel like is just a great message for everybody to hear

Valeria Rodriguez (15:48):

Today. Students made fossil, right? ‘Cause They’re learning about rocks and we made using plaster, but then I put the green screen up and not only did they make it and they excavated them, but then we put it on the green screen. And they’re like all of a sudden at a dig site,

Eric Cross (16:04):

What I’m seeing right now for those of you who are listening is, is students who are on, is this on IMO?

Valeria Rodriguez (16:10):

This is on we video

Eric Cross (16:12):

Video and they’re holding up fossils that they made. But in the background, because there was a green screen, there’s an overlay of like a, a rock dig site. So the students legitimately look like they’re paleontologists or something somewhere.

Valeria Rodriguez (16:24):

Exactly. And so it’s, it’s not just creating lines, right? The sketching transfers to so much be because even the want, not wanting to make a mistake with their fossil. One of the kids today, when he took off the, the Plato, ‘cause we put the Plato at the base. Then we put in either a shell or some sort of artifact that they were going to fossilize. And then we put in the plaster when he took off the Plato, a piece broke off and everybody’s like, I can’t believe you broke your fossil. And I’m like, not the first. Okay. Do you know how many of these guys and girls have been out there? And all of a sudden they find a dinosaur bone and they’re walking and they fall. And this fossil that took billions of years is all of a sudden broken. I’m like this selfie, the original selfies, these animals died in commitment to their selfies.

Valeria Rodriguez (17:19):

And here you are dropping the bone. So they were all laughing, but it was to go away from the fact that, oh my God, you broke it. You made a mistake. You drew the wrong line. You asked the wrong question. Like no big deal. Keep digging, shout out to the teachers that try doing the projects that they have. They don’t feel completely comfortable with or you know, that they take risks doing. Because even though in theory, it’s like suggested and schools want that or communities want that when it comes down to it, people also expect us to do things at work. But part of our job is also taking risks. Like we did a tethered weather balloon launch the other day because we couldn’t get approval to release the weather balloon in the atmosphere since we’re near an airport. And it was too short of a time.

Valeria Rodriguez (18:14):

And I remember a parent said, oh, you’re not releasing the balloon. And I was like, well, this is a lot of work too. <Laugh> we, you know, we’re, we’re doing the tethered launch. This is a hard project. So the other day when I heard that comment, like I went back to my class and I was like, you know what? I took a risk to do this project. I could have played it safe with a handout of a weather balloon <laugh> or you know, a YouTube video. It’s it’s the, the fact that we’re continuing to push. And so I wanna like really thank the teachers that keep trying to do the hard things that aren’t like tried and tested because it’s scary. Yeah.

Eric Cross (18:57):

Yeah. There aren’t a lot of opportunities for them to have adults that they see in positions of authority or that they respect or admire model failure. And I don’t mean failure in the, like the negative pejorative sense, but like things just not working out and then seeing how you respond to it, ‘cause you’re modeling, taking a risk. But like with real stakes, it’s authentic. I had students swab the campus and we put it in auger dishes and Petri sealed it up and then let it grow room temperature, but we kept it you know, cool enough at 75 degrees. So it wouldn’t be able to survive any, anything pathogenic. And then students, you know, I took pictures of them and then showed them the results. So the students never interacted with it and some things grew and some things didn’t, it was mostly, you know, fungi and some bacteria, but I showed them like, how come mine didn’t grow? And I was like, well, you know, it could have been how we swabbed. It could have been some things don’t grow the temperature, we kept it at, but some of the experiments didn’t yield the cool results. And that was okay. But I front loaded the expectation so that if everything did go great, sweet, but managing expectation, I found really helps to mitigate the pressure.

Valeria Rodriguez (20:01):

Yeah. Well another project that we’ve participated in is growing beyond earth where we’re planting seeds that contribute to like a huge set of data for cultivars that are being considered for growth on the international space station. And my students are like, well, you know, we just have six little pots, like what is this? And I’m like, yeah, we have two little seeds in each of these pots. And we are one data set in like hundreds of data sets that they’re collecting. But we are contributing two research on the international space station. You don’t have to be the next bill gates or the next, you know, Steve jobs. Like everyone thinks they’re gonna be the next big thing. Like you can also be a seed. That’s part of a really big project and that is okay. Like everyone can’t be the next big thing

Eric Cross (20:48):

And the other. And the other thing, I think what Gladwell talks about this in outliers and there’s another book called bounce, but a lot of the people that we see is successful or famous, we don’t realize that their background and their exposure to things was one of the things that led them there, both jobs and gates had access, you know, gates had access at, at the university of Washington to like one of the first computers and then jobs at, at Hewlett Packard. The story go goes on and on, but we don’t see the lineage of some of these people and where they come from. We just see the end result. You just see LeBron James winning a championship or something. We just want the, the end result the, the glory, but not the sweat that it takes to get there. They don’t, we don’t really see that as much, which leads me to like the next thing I wanted to ask you is how do you, and I kind of saw it just now, but how do you engage your kids in the classroom?

Valeria Rodriguez (21:36):

Well, I think I’m funny. Some of them don’t do

Eric Cross (21:38):

They like the puns

Valeria Rodriguez (21:39):

<Laugh> some of them do. And some of them don’t get them. They get them later. And I see when they get it, I like to engage them by bringing in real people, real examples of things, real research when possible. Right. I can’t put them in a real dig site. So the green screen helps me do that. But one of my students yesterday, other day before was like, you have such cool friends because I’ll say, oh, one of my friends does blah, blah, blah. Or, or, oh, when we go to Kennedy space center, we’re gonna, you know, talk to one of my friends. Who’s doing research on, you know, chilies in space and they’re like, wow, your friends are so cool. And I took that moment to tell them, be mindful of the people that you collect as friends in your life, like make good choices, surround yourself with awesome people, people so that you can share ideas. Like you connect with friends who you inspire you to do more. I try to engage them by giving them examples of things that people around me are doing that connect to what we’re doing. Do

Eric Cross (22:43):

You, do you explicitly or intentionally teach soft skills or is it just something that you just kind of organically do natural or are you mindful about making sure that you’re doing that

Valeria Rodriguez (22:52):

A hundred percent? You have to be explicit about it with amplify? Actually, we, we did a poster for incorporating social, emotional skills and other soft skills into the classroom because sometimes we just like other things like writing and, and reading, you know, we silo all these things in education and the school counselor, can’t be the one to deal with everything. You know, you have to deal with things as they surface. And sometimes my kids ha are frustrated because I ask them to think I don’t have yes or no answers. I have, you know, we are gonna launch a high altitude weather balloon. We don’t know how high it’s gonna go. We don’t know what’s gonna happen. We don’t, we don’t know if we’re gonna find it when the <laugh>, when the balloon bursts and it lands in the ocean, are we gonna find it? Is the GPS tracker gonna work?

Valeria Rodriguez (23:47):

Are we gonna lose all that money? I don’t know, but we have to do all the steps and find out. But with kids, they don’t have the skills yet. And I can’t wait for the counselor to come in and talk about handle the frustration that they’re feeling over. Not knowing the correct question to ask, because by the time they go meet with her, the moments pass, I have to stop and say, Hey, like check in with, with what you’re doing. It’s okay to be frustrated. You can’t take it out on a classmate. You can’t take it out on me.

Eric Cross (24:14):

So you were, you, you were intentional about teaching these skills to your students and you had the relationship. So it makes sense that you were the one to bring it across ‘cause you see them more than anybody does. You know, we’ve, we’ve, we’ve imagined. Teaching is for a long time. It’s been okay, you’re the science content expert. You’re the English expert, but so much as teaching evolves, there are these skills or like EQ emotional intelligence that you kind of have to have kind of coming in. Because like those moments, like no having the presence of mind to stop and why a young person through identifying how they feel, why, where it came from. Those aren’t always covered in those aren’t really covered in your methods classes when you’re in college, getting your, your degree or something. Now when you’re you’re sketch noting and for teachers who are, or one, could you just maybe give like a brief explanation of sketch, noting for somebody who may not be familiar with it, like how I was sketch any different than just drawing a picture randomly or something.

Valeria Rodriguez (25:10):

Okay. So you’re creating visual summaries. You’re using text and images combined in different ways to take notes. And before you know how we had like these shorthand things that the squiggly meant an indent and something else meant something else. And we had these lists of things when they would edit our papers, that represented things. It’s kind of like that for your brain. So you’re making a list of maybe icons or small sketches that represent things for you. So as you’re taking notes, you hear things. And when people talk now and they, they say, you know, I’m on the fence about this. Like I literally see a fence. And when they’re talking, I write the note, it’s almost like a T toe with pointy tops and I put a stick figure on top of it. And so later when I look at it, I think, oh, that’s right. My friend is on the fence about that decision

Eric Cross (26:08):

For a new teacher or even a, a, a experienced teacher. That’s interested in sketch noting, where, where would you recommend? They start like the structurize? Like, do you give creative freedom? Are they doing this paper and pencil vocabulary words? Are they up? Like, what are some just kind of maybe three basic things to kind of get started for someone who was just curious about it.

Valeria Rodriguez (26:29):

So it has to be simple because if it requires a lot of energy to go in, then you’re gonna be more hesitant to do it. For example, I wouldn’t start summarizing a video because it’s moving really fast or a live presentation is really hard. So with students, I would start with here’s a paragraph, make a visual summary of it, or here’s a vocabulary list, make an image to represent each word. Then you would move into, well, you know, here’s a unit summarize the three main topics in unit. Then you can move onto like a little YouTube video. That’s like 10 minutes a Ted talk, make a visual summary of the Ted talk because they can pause it.

Eric Cross (27:11):

Mm. Okay.

Valeria Rodriguez (27:13):

The hardest thing is live presentations, ‘cause in conversations you can say, oh, can you say that again? Sketch, noting. You start seeing how people organize or don’t their thoughts when they speak. Because when you start writing things down and all the information is about one thing and then like two blue ORPS about something else. You’re like, wow, that was really unbalanced. So then when you start teaching, you tell them what you’re gonna tell them, you tell them and then you tell them what you told them. So they can check that they put the notes in the right places and you tell them what you’re gonna tell. So they can prep the pathway that they’re gonna set up their notes and I have to be explicit. And I have to say like, I’m gonna talk about the rock cycle. So if I were you, I would put, you know, these four boxes. Oh, but there’s three types of rocks. See? I’m like, yeah, but magma. So let’s put it in the cycle, you know? And, and then I’m like, if I were you, I would put an arrow from here to here because this is how, you know, after erosion and then, you know, heat and pressure. But then it connects like this. So the arrows are gonna help me to remember the directions

Eric Cross (28:13):

As we wind down. There’s there’s one question I wanna ask you there, you are bringing together this science, the, the art, the social, emotional learning, the relationships with your students outside content, like there’s so many different things that you bring in the classroom that is clearly gonna make you a memorable educator for your kids. It just, it’s just, I’m just listening to your learning environment. And it’s so rich who is one teacher that really expired you. So

Valeria Rodriguez (28:38):

There’s a few people that stand out overall. I had very encouraging teachers. I had that one teacher that didn’t like my drawing <laugh> she also stands out <laugh>

Eric Cross (28:49):

We have those too.

Valeria Rodriguez (28:49):

Yeah. So I have colleagues that stand out to me that inspire me every day to like keep trying. And then I had a teacher in high school who I actually work with her daughter now at the school that I work at. And I didn’t even know her mom would make us write almost the whole class. And it was world history. And I remember hearing her say when she was talking about the Roman empire that it fell because it reached more than it can grab. So it kept extending too far out. And I heard that, like I think about, yes, I can keep reaching for things in education and reaching for things in my classroom. But I have to come back to like, what can I hold? I don’t wanna reach further than what I can hold. And yes, I have to believe in myself. And I tell my students to believe in themselves,

Eric Cross (29:38):

I’m in this, I’m in this sketch noting mindset. Because when you said what Ms. Brown shared with you, I thought of a hand reaching out, but then things kind of slipping through it. And I another hand with like a fist right next to it. So even in our conversation here last hour, I I’m thinking in pictures now. And so I’m like, if I can do it, they can do it. Like if you know, ‘cause I am just not the person who spends a lot of time committing to draw. Because a lot of times when I was that student who tried to draw and we get frustrated and look around and now I feel like this is, I wanna try this again. I wanna share this with my students and encourage them. This is gonna be a lot of fun. I look forward to continuing to see the sketch notes that you do. And maybe I’ll, I’ll show you one of mine. Like eventually I don’t know if you can see that there that’s my stick figures. Those of you who are listening right now, I drew, I was drawing stick figures and taking notes while Blair was dropping all of this, these like gems and wisdom in here. So

Valeria Rodriguez (30:31):

Maybe we can do a challenge that once people hear this podcast, they can tag us somehow in the sketch note that they create I’m in. So we see what they a take from it. Because that’s the other thing about sketch noting, you think you’re emphasizing something and all of a sudden people are walking away with something else that resonated to them. And you’re like, wow. And here I was thinking that this was what we were talking about. And this is what really jumped out at them.

Eric Cross (30:57):

Your kids are lucky that you’re in front of them, not just because of how you teach, but how you access all of these different parts of their creativity and their thinking and apply, integrate all of these soft skills and social, emotional skills and just life skills and your experience connecting them to the outside world. They, and like you said, and how we started, you know, where you started in Panama, the students realized what you represent and what you meant to them. And I feel like your students, when they get older, they may not realize it in the time, but as they get older and reflect back, they’ll be telling stories about you. So yeah. Thanks for making time and thanks for being here.

Valeria Rodriguez (31:34):

Well thank you too, ‘cause I know you’re in the classroom and making time to do other things outside the classroom. Isn’t always easy, but it’s what keeps us going in different ways.

Eric Cross (31:49):

Thanks so much for joining me in Valer today. We wanna hear more about you. If you have any great lessons or ways to keep student engagement high, please email us@stemamplifycom.wpengine.com. That’s TM five.com. Make sure to click, subscribe wherever you listen to podcasts and join our brand new Facebook group science connections, the community for some extra content.

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What Valeria Rodriguez says about science

“I use [sketchnoting] and I mess up all the time…because I feel that my students don’t want to make mistakes, and drawing is one of those things that taught me that it’s okay to make mistakes.”

– Valeria Rodriguez

Educator, Instructional technologist, and Graphic facilitator

Meet the guest

Valeria is an educator, instructional technologist, graphic facilitator, and dreamer. She currently works as a Science teacher as part of a STEAM Team in Miami, Florida teaching third through fifth graders as a free-lance graphic facilitator. She loves to connect with passionate educators she meets around the country. Valeria has presented and led workshops at educational conferences like SXSWEdu, ISTE, NSTA, NSTA STEM Forum, SHIFTinEDU, FAST, FCIS, and SEEC. When she is not teaching or sketching, Valeria can be found adventuring with her family around the world, training for triathlons, and creating opportunities to empower kids in all kinds of communities. 

You can check Valeria’s work on her website and follow her on Twitter & Instagram.

Valeria-Rodriguez_Headshot-LP

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. Listen here!

S3 – 04. Ideas to build math fluency with Valerie Henry, Graham Fletcher, and Tracy Zager

Promotional image for "Math Teacher Lounge" Season 3, Episode 4 titled "Ideas to Build Math Fluency," featuring Valerie Henry, Tracy J. Zager, and Graham Fletcher.

Fluency in math can oftentimes be associated with negative experiences with its development— timed worksheets, for example. Bethany and Dan are joined by three guests to better understand fluency and how to make its approach fun. Dr. Val Henry shares her three-part definition of fluency and her five principles for developing it. Additionally, Tracy Zager and Graham Fletcher join Bethany and Dan to better understand fluency through a lens of equity and using multimedia as a tool.

Explore more from Math Teacher Lounge by visiting our main page

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Dan Meyer (00:03)

Hey folks. Welcome back. This is Math Teacher Lounge, and I am one of your hosts, Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I’m your other host, Bethany Lockhart Johnson. Hi, Dan.

Dan Meyer (00:11):

Hey, great to see you. We have a big one this week to chat about and some fantastic guests. We are chatting about fluency, which is the sort of word and concept that I feel like people have very, very non-neutral associations with it. A lot of them are very negative, for a lot of people.

Bethany Lockhart Johnson (00:26):

I saw you frown a little. What’s up with that, Dan? You kind of, like, shrank.

Dan Meyer (00:30):

I have strong feelings about it. You know, there’s lots of ways that people go about helping people become fluent in mathematics. And a lot of them are harmful for students, and ineffective. And it got me thinking about fluency as it exists outside of the world of mathematics, where we have a lot of very clear images of it. We’re getting fluent in things all the time. Like, as humans. Human development is the story of fluency. And I just was wondering….Bethany, would you describe yourself as fluent at something outside of the world of mathematics? What is that? How’d you get fluent at it? What was the process?

Bethany Lockhart Johnson (01:05):

Hmm, I think I’m a pretty fluent reader. I read all the time. I’m a happier person if I’ve read that day. I once saw this poster in a classroom; it said “10 Ways to Become a Better Reader: Read, Read, Read, Read, Read…you know, 10 times. Get it? Reading? You get better at reading by reading! So I would say reading. And it’s been kind of cool—I have a one-year-old who, it’s been really exciting slash overwhelmingly anxiety-producing to see him get very fluent with walking slash running, ’cause he’s getting faster every day. And it’s kind of fun. When I think of what’s something somebody’s trying to get fluent with…walking! He’s trying to be more fluid. He’s practicing transitions. He doesn’t wanna hold my hand while he traverses rocky terrain. He’s getting better at it. He’s practicing. What about you? What’s something…?

Dan Meyer (02:08):

I think about driving a lot. I’m a very fluent driver and I think a lot about when I was first a driver, you know? And how l have my hands on 10 and 2, vice grip, and do not talk to me; do not ask me anything; don’t ask me my NAME. I need to focus so hard. And then a year later, you know, I’m driving with one hand, smash the turn signal, take a sip off of whatever, change the CD. And then it’s no big deal.

Bethany Lockhart Johnson (02:38):

Wait, did you pass the first time? Your test?

Dan Meyer (02:40):

Yeah, I don’t like to brag about it. <laugh> But I do all the time. <laugh> But I got a hundred on my driving test. I don’t care who knows it. And I hope it’s everybody. But I guess all of this is just to say there are areas of life where fluency feels natural, with the case of walking. There’s areas of life where fluency feels motivating, with like driving—I wanna be able to switch the CD out or whatever. And there’s areas where fluency feels terrifying and hard to come by, like mathematics, sometimes. So we have a set of guests here. Our first guest will help us figure out what do we mean by fluency? And what’s the research say about what fluency is and how students develop it in mathematics? And then our other guests will help us think about what it looks like in practice in the classroom. What are some novel, new ways to work on fluency? So first up we have Val Henry, Dr. Val Henry.

Bethany Lockhart Johnson (03:32):

So we knew we needed help with the fluency definition, because when we think about it, it’s kind of big, right? And we wanted to look at what research about fluency really says. So we called on Valerie Henry. Val is a nationally board-certified teacher, taught middle school for 17 years, and since 2002 has worked with undergraduates graduates, credential candidates as a lecturer at the University of California, Irvine, one of my alma maters. So after doing her dissertation on addition and subtraction fluency in first grade, Val created a project to study ways to build addition and subtraction and multiplication and division fluency while also developing number sense in algebraic thinking. And the pilot grew and grew over the last 18 years into a powerful daily mini-lesson approach to facts fluency called FactsWise. And when we thought of fluency, the first person I thought of was Val. Welcome, Val Henry, to the Lounge! I’m so excited to have you here. Welcome.

Valerie Henry (04:36):

Thanks, Bethany. And thanks to you, Dan. It’s great to be here today.

Dan Meyer (04:41):

Great to have you; help yourself to whatever you find in the fridge. The names that people write down on those things in the bags are just recommendations. It’s potluck-style here. I’m curious, Val, if you’re, like, on an airplane, someone asks you what you do, and you say you study fluency…what is the layperson’s definition of what does it mean to be fluent in mathematics? And if you can give a brief tour through what the research says about what works and what doesn’t that would really help us orient our conversation here.

Valerie Henry (05:12):

The first thing I have to do when I talk to somebody on a plane is define the idea of fluency. And I often use an example of tying your shoelaces. Because that works with first graders as well as adults. This idea that when we first start trying to put our shoes on and get those shoelaces tied, somebody tries to, first of all, just do it for us. But then of course maybe tries to teach us the bunny-ears approach. And we struggle and struggle as little kids and eventually either the bunny-ears approach or something else starts to work for us. But we still have to pay attention to it. We have to think hard and it’s not easy. And then over time we get to the point where we basically don’t even think about it. When I tie my shoes in the morning. I’m not thinking about right-over-left and left-over-right and all of those things. I just do it. And so that’s a good, easy example of becoming fluent with something. I think what we’re talking about today though, is the basics, the adding and subtracting that we hope kids are going to have mastered maybe by second grade, and the multiplication and division facts that we wanna maybe have mastered by third, maybe fourth grade. So now what does that mean to become fluent with those basics? I have a three-part definition that seems to match up really nicely with the common core approach to fluency. Which is, first of all, we want the answers to be correct. And then second, we want the answers to be easy to know. And so what does that mean? Well, to me, it means without needing to count,

Bethany Lockhart Johnson (07:12):

You mean without having to kind of muscle through it? Or say more about you mean.

Valerie Henry (07:16):

Well, I guess what I mean is that when you watch a young child try and solve something even as simple as two plus three, they might put up two fingers and then go 3, 4, 5 with three more fingers winding up on their hand, one or the other of their hands. While they’re doing that, they don’t really have a sense of whether even their answer is right or not, quite often. Especially when you get to the larger adding and subtracting problems, you can see a lot of errors happening as they’re trying to count. And it’s taking up cognitive energy to do that counting process, especially as you get to the larger quantities. So my definition of fluency now is “getting it right without needing to do that hard work like counting.” Now, some people might say, well, we just want them to have ’em memorized. But in my research, I’ve learned that a lot of very fluid adults don’t always have every fact memorized. In fact, if you ask a room full of adults, what’s seven plus nine, you might learn that they can all get it correct quickly, quickly…but they don’t all have it memorized. And so when you ask them, “How did you get that?” Many of them will say, “Well, I just gave one from the 7 to the 9 and I know that 10 plus 6 is 16.”

Bethany Lockhart Johnson (08:53):

That’s such an important distinction. My brain literally just did that actually!

Valerie Henry (08:58):

<laugh> Right? <laugh> But you’re fluid with it, because it doesn’t take you much cognitive energy at all.

Bethany Lockhart Johnson (09:05):

Right.

Valerie Henry (09:07):

So now we have “correct without needing to put that cognitive energy,” which usually means that you’re counting. And then the third thing is “relatively quickly,” so that you’re not spending 15 seconds trying to figure it out. Even that part-whole strategy approach can be done really quickly, almost instantaneously. Or it can take a long time. So if a student can get the answer correct within, you know, three or four seconds— is I’m pretty generous—I figure that they’re pretty darn fluent with that fact. So that’s my three-part definition of these basics, fluency.

Dan Meyer (09:55):

I love the distinction between getting it correct and getting it quick. It’s possible to be quick with wrong answers. It’s possible to be like, “Those are separate components there.” And I echo Bethany’s appreciation for this third option in between knowing it instantaneously through memorization and muscling through it. But there’s like a continuum there of how much energy it took you to come up with it that all feels extremely helpful.

Valerie Henry (10:21):

And you know, one of the things that I’ve noticed is that when kids are pressured to come up with those instantaneous answers, they often default to guessing and get it wrong.

Bethany Lockhart Johnson (10:30):

Mm, yeah.

Valerie Henry (10:30):

So that’s one of the things that I’ve learned is that as we’re trying to help students develop fluency, it’s important to start with building their conceptual understanding of what it means to do, you know, 3 times 9 and what the correct answer is, maybe using manipulatives or representations of some sort. Not skip-counting! I really have found that skip-counting just perpetuates itself in many students’ minds and that they never stop skip-counting, which means they’re putting in not very much mental energy if it’s 2 times 3 but a ton of mental energy if it’s 7 times 8. Because frankly, it’s really hard to skip count by sevens. And by eights.

Bethany Lockhart Johnson (11:18):

I can get to 14 and then I’m like, wait, wait, what was next? Right? No, no, no…21! What do you feel are some misconceptions that maybe teachers, maybe parents have about fluency in math?

Valerie Henry (11:30):

I think maybe one of the first ones is that if students count or skip-count, their answers repetitively over and over and over and over, that they’re bound to memorize them. And the study that I did back in 2004, I actually had a school that had decided that they were going to do time tests with their students every day, all year. And that undoubtedly by the end of the year, those students would be fluent.

Bethany Lockhart Johnson (12:06):

And to clarify by time test, you mean like, sit down, pencil, paper, ready, go, worksheet kind of thing.

Valerie Henry (12:15):

Yes.

Bethany Lockhart Johnson (12:16):

Some of us might remember quite vividly.

Valerie Henry (12:18):

<laugh> Very vividly. And you know, you have to get it done within a certain amount of time. So they made it fun for the students. Apparently the students enjoyed it. I was a little leery about that, but in the end, when I went and checked on the students and I did one-on-one assessments with half of the students in every class that were randomly selected so that I could get a sense of where they were with their fluency—and these were first graders—they basically had nothing memorized. They were simply counting as fast as they possibly could. And, you know, mostly getting the right answers. But they had not memorized. So that’s one of the myths, I think, is that repetitive practice of counting gets you to memorization.

Bethany Lockhart Johnson (13:10):

If I put it in front of you enough times, you’ll become fluent.

Valerie Henry (13:14):

Right, right. Now these students didn’t really get any instruction, any help learning these. They just simply tested over and over and over. So that’s another thing that I think is a misconception. It’s that if we test students, but don’t really teach them fluency, then they’re going to become fluent. If we just test them every Friday or that kind of thing. And that they’ll learn them at home. But really what that means is a few lucky kids who have parents who have the time and the energy and the background to know how to help will take that job on at home. Not that many students are really that fortunate.

Dan Meyer (14:01):

It’s almost like the traditional approach, or the approach you’re describing, confuses process and product. It says, “Well, the product is that eventually fluent students will be able to do something like this, see these problems and answer them, answer them quickly,” and says, “Well, that must be the process then as well; let’s give them that products a whole lot.” But as I hear you describe fluency with bunny ears on shoelaces, there’s these images and approaches and techniques that require a very active teacher presence to support the development of it. That’s just kind of interesting to me.

Valerie Henry (14:35):

My initial project, the pilot project that I tried, was to simply ask teachers to follow five key principles. And the first one was to do something in the classroom every day for—I told them, even if you’ve only got five or 10 minutes, work on fluency for five or 10 minutes a day, and let’s see what happens. So that was one key element was just to teach it and to give students opportunities to get what the research calls for when you’re trying to memorize, which is actually immediate feedback. When I talk about immediate feedback with my student teachers, I say, “I’m talking about within one or two seconds of trying a problem, and then sort of immediately knowing, getting feedback of whether you got the answer right or not so that your brain can kind of gain that confidence. ‘Oh, not only did I come up with an answer, but somebody’s telling me it’s the correct answer.’”

Dan Meyer (15:38):

There’s a lot of apps now in the digital world that offer students questions about arithmetic or other kinds of mathematical concepts and give immediate feedback of a sort: the feedback of “You’re right; you’re wrong” sort. Is that effective fluency development, in your view?

Valerie Henry (15:57):

I haven’t heard and I haven’t seen them being super-effective. The ways I think about this are “Immediate feedback isn’t the only thing we need.” Probably one of the biggest things that we need is for students to develop strategies. And this is one of the other things I’ve learned from international research, from countries that do have students who become very fluent very early, is that they don’t shoot straight for memorization, but they go through this process of taking students from doing some counting and then quickly moving them to trying to use logic. So, “Hey, you really are confident that 2 + 2 is 4; so now let’s use that to think about 2 + 3.” Actually, as an algebra teacher, I would much rather have students that have a combination of memorization and these strategies, than students who’ve only memorized. Isn’t that interesting that my most successful algebra students were good strategy thinkers. Not just good memorizers.

Bethany Lockhart Johnson (17:09):

So you mentioned there were five that kind of helped root this idea in like, “What can teachers do? What is the best thing that teachers can do to support with fact fluency?” So, everyday was key.

Valerie Henry (17:22):

Then the next principle that I really focus on is switching immediately to the connected subtractions so that students—

Bethany Lockhart Johnson (17:33):

Not waiting until you’ve gotten all the way through addition. But making “Ooh!”

Valerie Henry (17:38):

Totally. And I didn’t do that the first year. And when we looked at the results of the assessments at the end of the year, we realized that our students were so much weaker in subtraction than addition. So the following pilot year, we tried this other approach of doing subtraction right after the students had developed some fluency with that small chunk of addition. And we got such better subtraction results.

Bethany Lockhart Johnson (18:11):

What are the other principles?

Valerie Henry (18:13):

The biggest one is to use these strategies. So the strategies makes the third. And then the fourth I would say is to go from concrete to representational to abstract.

Bethany Lockhart Johnson (18:27):

Don’t put away those manipulatives. Don’t put away those tools.

Valerie Henry (18:31):

Oh, so important to come back to them for multiplication and division. And my fifth principle is to wait on assessment. To use it as true assessment, but not race to start testing before students have had a chance to go through this three-phase process. Which is conceptual understanding with manipulatives; building strategies, usually with representations; and then working on building some speed until it’s just that natural fluency.

Bethany Lockhart Johnson (19:07):

I wanna say thank you so much for offering your really learned perspective, because you have not only done the research, but seen it in action and seen how shifting our notions of fluency and what fluency can be and what a powerful foundation it can be for all mathematicians. Really, that shift is so powerful. And I appreciate you sharing it with our listeners and with us. So we’re so excited that we got to talk with you today, Val—

Dan Meyer (19:35):

Thank you, Dr. Henry.

Valerie Henry (19:37):

You’re welcome!

Dan Meyer (19:41):

With us now we have Graham Fletcher and Tracy Zager, a couple of people who understand fluency at a very deep and classroom level. I wanna introduce them and get their perspective on what we’re trying to solve here with fluency. So Graham Fletcher has served in education in a lot of different roles: as a classroom teacher, math coach, math specialist, and he’s continually seeking new and innovative ways to support students and teachers in their development of conceptual understanding in elementary math. He’s the author, along with Tracy, of Building Fact Fluency, a fluency kit we’ll talk about, and openly shares so much of his wisdom and resources at gfletchy.com. Tracy Johnson Zager is a district math coach who loves to get teachers hooked on listening to kids’ mathematical ideas. She is a co-author of this toolkit, Building Fact Fluency, and the author of Becoming the Math Teacher You Wish You’d Had: Ideas and Strategies from Vibrant Classrooms. Tracy also edits professional books for teachers at Stenhouse Publishers, including, yours truly. Thank you for all that insight, Tracy, and support on the book.

Bethany Lockhart Johnson (20:49):

Dan and I were talking at the beginning of the episode about things we feel like, “Hey, I’m fluent in that. I’m fluent in that.”

Dan Meyer (20:55):

Just very curious: What’s something you would like to get fluent in outside of the world of mathematics, let’s say?

Tracy Zager (21:00):

I’ll say understanding the teenage brain, as the parent of a 13-year-old and 15-year-old. That’s the main thing I’m working on becoming fluent in!

Bethany Lockhart Johnson (21:10):

Ooh!

Dan Meyer (21:13):

A language fluency, perhaps. All right, Graham. How about you?

Graham Fletcher (21:16):

For me typing, it’s always been an Achilles heel of mine. So voice-to-text has been my friend. But it’s also been my nemesis in much of my texting here and working virtually over the last couple years. So yeah, typing.

Dan Meyer (21:33):

Do you folks have some way of helping us understand the difference in how fluency is handled by instructors and by learners?

Tracy Zager (21:40):

I would say that the lay meaning of fluency is definitely a little different than what we mean in the math education realm. When we’re talking about math fact fluency, which is just one type of fluency. So you gotta think about procedural fluency and computational fluency; there are lots of types of fluency in math. And Graham and I had the luxury of really focusing in specifically on math fact fluency. We’re looking at kind of a subset of the procedural fluency. So the words you hear in all the citations are accurate, efficient, and flexible. There’s this combination of kids get the right answer in a reasonable amount of time and with a reasonable amount of work and they can match their strategy or their approach to the situation. That’s where that flexibility comes in. And there’s like lots more I wanna say about that about sort of…I think one issue that comes up around fluency is that people are in a little bit of a rush. So they tend to think of the fluency as this automaticity or recall of known facts without having to think about it. And that is part of the end goal, but that’s not the journey to fluency. So this is one of the things that Graham and I thought about a lot was the path to fluency. The goal here it’s that student in middle school who’s learning something new doesn’t have to expend any effort to gather that fact. And they might do it because they’ve done it so many different ways that they’ve got it, and now they just know it, or they might be like my friend who’s a mathematician who still, if you say, “Six times 8,” she thinks in her head, “Twelve, 24, 48…” and she does this double-double-double associative property strategy. And it’s so efficient, you would never know. And that’s totally great. That’s fine. That’s not slowing her down. That’s not providing a drag in the middle of a more complex problem or new learning. So we’re really focused on having elementary school students be able to enter the middle and high school standards without having that pull out of the new thinking.

Graham Fletcher (23:53):

And as I think about that, I think about how so many students will memorize their facts, but then they haven’t memorized them with understanding. So that when they move into middle school and they move into high school, it’s almost like new knowledge and new understanding that’s applied from a stand-alone skill.

Bethany Lockhart Johnson (24:10):

So something that felt really unique to me, Graham, as I was diving into the toolkit, is your use of images, Tracy, Graham, is the way that you use images to help students notice and wonder to start making sense of these quantities and the decomposition of numbers using images. Can you talk a little bit about how images played a part in the way that you think about this building a fact fluency?

Graham Fletcher (24:41):

What I realized is so many times when we approach math with just naked numbers with so many of our elementary students, the numbers aren’t visible. The quantities. They can’t see them; they can’t move them. They’re just those squiggly figures that we were talking about earlier on. So how is it that we make the quantities visible, to where students feel as if they can grab an apple and move it around? Because a lot of times we start with the naked numbers and then if kids don’t get the naked numbers, then we kind of backfill it. But what would happen if we start with the images? And then from there, these rich, flourishing mathematical conversations develop from the images. And I think that was the premise and the goal of the toolkit.

Tracy Zager (25:22):

When you look at how fact fluency has traditionally been taught, it’s all naked numbers. And sometimes we wrote ’em sideways. Like, that’s it. That was our variety of task type. Right? Sometimes it’s vertical; sometimes it’s horizontal. And that was it. And I’ve just known way too many kids who couldn’t find a hook to hang their hat on with that. It didn’t connect to anything. And so part of why I knew Graham was the perfect person for this project was his strength in multimedia photography, art, video. And so we started from this idea of contexts that for each lesson string in the toolkit, there’s some kind of context. An everyday object, arranged in some kind of a way that reveals mathematical structure and invites students to notice the properties. So we start with images of everyday objects: tennis balls, paint pots…um, help me out; here are a million of them. Crayons—

Bethany Lockhart Johnson (26:18):

Crayons, markers.

Tracy Zager (26:18):

Shoes, right? Sushi, origami paper, all kinds of things in the different toolkits. So there’s a series of images or a three-act task or both around those everyday objects, and then story problems grounded in that context. And then there are images with mathematical tools that bring out different ideas, but relate in some way to the image talks. And we do all of that before we get to the naked number talk. Which we do, and by the time you get to the number talk, it’s pretty quick, ’cause they’ve been reasoning about cups of lemonade. And now when you give them the actual numerals, they’re all over it.

Bethany Lockhart Johnson (27:03):

I have to say too, as somebody who—particularly in middle school—navigated math anxiety, we recently talked with Allison Hintz and Anthony Smith about their amazing book Mathematizing Children’s Literature.

Tracy Zager (27:14):

Yay!

Bethany Lockhart Johnson (27:14):

And I was explaining, like, if I sat down at the beginning of a math class and my teacher opened a picture book and said, “We’re gonna start here,” I felt my whole body relax. And if we start with this image, if we start with just looking at an image and making sense of an image, I feel like that could be such a powerful touchstone for all the work you do from there.

Tracy Zager (27:41):

That’s core. That’s a core design principle, is that invitational access. There are no barriers to entry. There’s nothing to decode. There’s nothing formal. We’ve been learning from Dan for years about this, right? Of starting with the informal and then eventually layering in the formal. I was in a class in Maine where they were doing an image talk and it’s these boxes of pencils. It’s a stack of boxes of pencils and they’re open and you can see there are 10 pencils in each box. And so there are five boxes of pencils each with 10 pencils in it. And then the next image is 10 boxes of pencils and each box is half full. So now it’s 10 boxes each with five. And the kids are talking and talking and then the third image, I think there are seven boxes each with 10 pencils in it. And she said, “What do you think the next picture’s gonna be?” And this girl said, “You just never know with these people!” <laugh> I dunno!”

Bethany Lockhart Johnson (28:37):

That’s kinda true. Knowing you both, it’s kinda true.

Tracy Zager (28:42):

Like if it’s seven boxes with 10 in it, one kid said, I think it’s gonna be 14 boxes of five. And other kids are like, I think it’s gonna be 10 boxes with seven. And they start talking about which of those there are and the relationships between—

Bethany Lockhart Johnson (28:58):

But they’re making sense of numbers!

Tracy Zager (28:59):

Totally. So all the kids felt invited. They can offer something up. They’re noticing and wondering about that image. They’re talking about it in whatever informal language or home language that they speak. And that was core to us. That was a huge priority, because honestly, one of the motivations to talk about fluency is that it’s always been this gatekeeper. It has served to keep kids out of meaningful math. Particularly kids from marginalized or historically excluded communities. So they’re back at the round table, doing Mad Minutes, while the more advantaged kids are getting to do rich problem solving. And so, we thought, what if we could teach fact fluency through rich problem solving that everybody could access? That was like square one for us.

Bethany Lockhart Johnson (29:45):

That’s huge.

Dan Meyer (29:46):

That’s great to hear. What’s been helpful for me is to understand that students who are automatic, that’s just kind of what’s on the surface of things. And that below that might be some really robust kind of foundation or scaffolding that bleeds to a larger building being built, or it might be just really rickety and not offer a sturdy place to build farther up. It’s been really exciting to hear that. I wonder if you’d comment for a moment about, in the digital age and—I’m at Desmos and our sponsors are Amplify and we all work in the digital world quite a bit. There are a lot of what report to be solutions to the fluency issue, to developing fluency in the digital world. Just lots and lots of them. Some that are quite well used, others that are just like X, Y, or Z app on the market. You can find something. Do you have perspectives on these kinds of digital fluency building apps? Like, what about them works or doesn’t work? Let us know. Graham, how about you? And then Tracy, I’d love to hear your thoughts too.

Graham Fletcher (30:47):

Yeah, I think that’s a great question, ’cause there’s a lot of shiny bells and whistles out there right now that can really excite a lot of teachers. But I always come back to what works for me as a classroom teacher is probably gonna work in a digital world as well. So what are the things that I love and honor most about being in front of students, and how can I capture that in that virtual world? I think one of the things that really helps students make connections is coherence. I think coherence, especially when you leave students for—you don’t get to talk with them after the lesson is done—so I think about how we can purposefully sequence things through a day-to-day basis. I think coherence is something that gets really lost when we talk about fluency, especially with whether it be digital or whether it be print, because what ends up happening is we say, “OK, we have all these strategies we need to teach,” and it becomes a checklist. So how is it that we can just provide students the opportunity to play around in a space, whether it be digital or in person, but in a meaningful way that allows them the time and the space and that area to breathe and think, but be coherent. And connecting those lessons along the way. And I think coherence is one thing that a lot of the times it’s harder to—when we’re in the weeds, it’s so hard and difficult to zoom back out and say, “Do all these lessons connect? How do they intentionally connect? And how do they purposefully connect?” And without coherence, everything’s kind of broken down into that granular level. So when looking at—I think about Desmos and I think about the Toolkit and I think about how Tracy and I talked a lot about, “Well, this, does it connect with the context problem, does it connect with the image talk, or the lessons? Like, how does it all connect and how are we providing students an opportunity to make connections between the day-to-day instruction and lessons that we tackle?”

Tracy Zager (32:44):

I’m reminded of a conversation that Dan, you and I had a long time ago, in Portland, Maine, in a bar. I’ll just be honest. <laugh> And we were talking about how, in the earlier days of Desmos, you were stressed out by what you saw, which was kids one-on-one, on a device, in a silent room. And you were like, no, this is not it. This is not what technology is here to serve. We can do so many things better using technology appropriately, but we can’t lose talk and we can’t lose relationships and we can’t lose formative assessment and teachers listening to kids and kids listening to each other and helping each other understand their thinking. Right? So when I think about the tech that’s out there for fact fluency, most of it is gonna violate all rules I have around time testing. So that a whole bunch of it, I would just toss on that premise. They’re really no different than flashcards. It’s just flashcards set in junkyard heaps. Or, you know, underground caverns. Or with a volcano or whatever. It’s the same thing. There are some lovely visuals—I’m thinking of Berkeley Everett’s Math Flips. Those are really pretty. Mathigon has some really nice stuff that’s digital. And I think that those resources invite you to kind of ponder and notice things and talk about them. All the tools that we design in the toolkit are designed to get people talking to each other, and give teachers opportunities to pull alongside kids and listen in and understand where they are. For example, our games, we didn’t design the games to be played digitally, even though you could, and people did during COVID, because we want kids on the rug, next to each other, on their knees; I’ve seen kids like across tables. I was in a school recently where a kid was like, “I hope you believe in God, ’cause you’re going…!” You know what I mean? <laugh>. Like they’re all pumped up.

Bethany Lockhart Johnson (34:41):

They’re invested!

Tracy Zager (34:45):

They’re psyching each other up and down and they’re interacting and it’s social and the teacher’s walking around and she’s listening to the games. And they don’t actually need any bells and whistles. They need dice and they need counters and they need this game that is actually a game. In all of our conversations, games have to actually be games. Games cannot be “roll and record.” Games have to involve strategy. They have to be fun. So in designing those games, we didn’t feel like it brought any advantage to make that a digital platform. But things that did bring advantages digitally, like the ability to project these beautiful images or to use short video in the classroom, that really was a value-add that enabled us to do something different in math class than we had done before, and to get kids talking in a different way than they ever had before. When I think about fluency, historically, if you say like, “OK, it’s time to practice our math facts,” you hear a lot of groans. And when I see a Building Fact Fluency classroom and I say, “OK, it’s BFF time!” There’s like a “YEAAAAHHH!” You know? And so that’s what we’re after.

Graham Fletcher (35:47):

It’s all about kids, really, for us. And I think at the heart of it, we made all the decisions with teachers and kids at the forefront of it.

Tracy Zager (35:55):

I know of high schoolers who are newcomers, who have experienced very little formal education, and speak in other languages, are using it as high schoolers, because it involves language and math and all the deep work in the properties and it’s accessible, but it’s also not at all condescending or patronizing. Like we designed it to be appropriate for older kids. So that’s just something that I think we’re both really proud of. One thing we thought a lot about, especially in the multiplication-division kit is how a classroom teacher could use it and a coordinating educator in EL, Title, special education, intervention could also use it because there’s so much in it, that students could get to be experts, if they got extra time in it, using something that’s related and would give them additional practice. So they could play a game a little bit earlier than the rest of the classes. And they could come in already knowing about that game, or they could do a related task. We have all these optional tasks that no classroom teacher would ever have time to teach it all. So the special educator could use it and have kids doing a Same and Different or a True/False, or some of the optional games. And then the work in both special education and general education could connect.

Dan Meyer (37:20):

I just wanna say that this is an area that for so many students, as you’ve said, Tracy, it presents a barrier for their inclusion in mathematics. It’s a very emotionally fraught area of mathematics. And we really appreciate the wisdom you brought here. And just the care you’ve brought to the product itself. Your knowledge of teaching, knowledge of math, and yeah, especially a love for students feels like it’s really infused throughout Building Fact Fluency. If our listeners want to know more outside of this podcast, outside of the product itself, where can they find your words, your voice? Where you folks at these days? Tell ’em, Graham would you?

Graham Fletcher (37:57):

You can find us at Stenhouse, Building Fact Fluency. And then Tracy and I, currently playing around, sharing ideas a lot on Twitter, under the hashtag #BuildingFactFluency. That’s kind of where we can all come together and share ideas. And then also on the Facebook community, where there’s lots of teachers sharing ideas.

Bethany Lockhart Johnson (38:19):

If you were to ask our listeners like, “Hey, if you wanna keep thinking about this, here’s something you could try or here’s something you could go do,” what could be a challenge that we could share that could help us continue this conversation?

Graham Fletcher (38:35):

Online you can actually download a full lesson string. And a lesson string is a series of activities and resources that are purposefully connected. You can pick one or two of those from the Stenhouse web site, Building Fact Fluency. You can try the game. You can try one of those strategy-based games. You can try an image talk and just see how it goes. And just share and reflect back, whether on Twitter or on Facebook. But it’s kind of there, if you wanna give it a whirl. And as Tracy was sharing, even if you’re a middle-school teacher or a high-school teacher, we really tried to think about those middle-school and high-school students keeping it grade level-agnostic. Just so every student has those opportunities for those mathematical conversations. So download a lesson string and give it a whirl, and we’d love to hear how it goes.

Dan Meyer (39:25):

Bethany and I will be working the same challenge with people in our life.

Bethany Lockhart Johnson (39:29):

Yes.

Dan Meyer (39:29):

Enjoying some fact fluency with people in our homes, perhaps. We’ll see. And we’ll be sharing the results in the Math Teacher Lounge Facebook group. Graham and Tracy, thanks so much for being here. It was such a treat to chat with you both.

Bethany Lockhart Johnson (39:42):

I love learning with you and just helping to shift this idea of fluency into something that can be accessible and powerful and positive.

Stay connected!

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We’ll also share new and exciting free resources for your classroom every month.

What Valerie Henry says about math

“A lot of very fluent adults don’t always have every fact memorized. ”

– Val Henry

Meet the guests

Valerie Henry has been a math educator since 1986. She taught middle school math for 17 years and has worked as a lecturer at University of California Irvine since 2002. After doing her 2004 dissertation research on addition/subtraction fluency in first grade, Valerie created FactsWise, a daily mini-lesson approach that simultaneously develops  fluency,  number sense, and algebraic thinking. Additionally, she has provided curriculum and math professional development for K-12 teachers throughout her career, working with individual schools, districts, county offices of education, Illustrative Mathematics, the SBAC Digital Library, and the UCI Math Project.

Graham Fletcher has served in education as a classroom teacher, a math coach, and currently as a math specialist. He is continually seeking new and innovative ways to support students and teachers in their development of conceptual understanding in elementary mathematics. He is the author of Building Fact Fluency and openly shares many of his resources at gfletchy.com. Follow him on Twitter.

Tracy Johnston Zager is a district math coach who loves to get teachers hooked on listening to kids’ mathematical ideas. She is a co-author of the Building Fact Fluency toolkits and the author of Becoming the Math Teacher You Wish You’d Had: Ideas and Strategies from Vibrant Classrooms. Tracy also edits professional books by teachers, for teachers at Stenhouse Publishers. Follow her on Facebook.

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A graphic with the text "Math Teacher Lounge with Bethany Lockhart Johnson and Dan Meyer" on colored overlapping circles.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Puyallup 6–8 Science Review | Amplify

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Welcome, Idaho science reviewers!

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A closer look at grades 6–8 (domain)

Amplify Science is based on the latest research on teaching and learning and helps teachers deliver rigorous and riveting lessons through hands-on investigations, literacy-rich activities, and interactive digital tools that empower students to think, read, write, and argue like real scientists.

In the 6–8 classroom, this looks like students:

  • Collecting evidence from a variety of sources.
  • Making sense of evidence in a variety of ways.
  • Formulating convincing scientific arguments.

Is your school implementing the domain model? Click here.

Collage of four images showing children engaged in educational activities such as conducting experiments and crafting in a classroom setting.
A four-step process: Spark intrigue, Explore evidence, Explain and elaborate, and Evaluate claims, leading to ongoing engagement and building complexity.

Program structure

Our cyclical lesson design ensures students receive multiple exposures to concepts through a variety of modalities. As they progress through the lessons within a unit, students build and deepen their understanding, increasing their ability to develop and refine complex explanations of the unit’s phenomenon.

It’s this proven program structure and lesson design that enables Amplify Science to teach less, but achieve more. Rather than asking teachers to wade through unnecessary content, we designed our 6–8 program to address 100% of the NGSS in fewer lessons than other programs.

Scope and sequence

Every year our grades 6–8 sequence consists of 9 units, with each unit containing 10–19 lessons. Lessons are written to last a minimum of 45-minutes, though teachers can expand or contract the timing to meet their needs.

A grid of educational icons, each representing a different science topic, such as earth and space science, life science, and physical science, with titles and lesson counts.

Unit types

Each unit delivers three-dimensional learning experiences and engages students in gathering evidence from a rich collection of sources, while also serving a unique purpose.

In grades 6–8, there are three types of units:

  • One unit is a launch unit.
  • Three units are core units.
  • Two units are engineering internships.
Launch units

Launch units are the first units taught in each year of Amplify Science. The goal of the Launch unit is to introduce students to norms, routines, and practices that will be built on throughout the year, including argumentation, active reading, and using the program’s technology. For example, rather than taking the time to explain the process of active reading in every unit in a given year, it is explained thoroughly in the Launch unit, thereby preparing students to actively read in all subsequent units.

Core units

Core units establish the context of the unit by introducing students to a real-world problem. As students move through lessons in a Core unit, they figure out the unit’s anchoring phenomenon, gain an understanding of the unit’s disciplinary core ideas and science and engineering practices, and make linkages across topics through the crosscutting concepts. Each Core unit culminates with a Science Seminar and final writing activity.

Engineering Internship units

Engineering Internship units invite students to design solutions for real-world problems as interns for a fictional company called Futura. Students figure out how to help those in need, from tsunami victims in Sri Lanka to premature babies, through the application of engineering practices. In the process, they apply and deepen their learning from Core units.

Units at a glance

A rover sits on a rocky, reddish hill under a hazy sky, leaving visible tire tracks across the barren landscape.
Geology on Mars

Domain: Earth and Space Science

Unit type: Launch

Student role: Planetary geologists

Phenomenon: Analyzing data about landforms on Mars can provide evidence that Mars may have once been habitable.    

Two prehistoric marine reptiles with long snouts are near a rocky shoreline, one on land and one in the water, with an island and clouds in the background.
Plate Motion

Domain: Earth and Space Science

Unit type: Core

Student role: Geologists

Phenomenon: Mesosaurus fossils have been found on continents separated by thousands of kilometers of ocean, even though the Mesosaurus species once lived all together.    

A geometric badge with a mountain, telescope, and audio wave icons on a purple background with polygonal shapes.
Plate Motion Engineering Internship

Domain: Earth and Space Science

Unit type: Engineering internship

Student role: Mechanical engineering interns

Phenomenon: Patterns in earthquake data can be used to design an effective tsunami warning system.    

Illustration of a volcano by the sea with smoke, trees, mountains, and a cross-section showing a fault line beneath the ground.
Rock Transformations

Domain: Earth and Space Science

Unit type: Core

Student role: Geologists

Phenomenon: Rock samples from the Great Plains and from the Rocky Mountains — regions hundreds of miles apart — look very different, but have surprisingly similar mineral compositions.    

Illustration of a city skyline at night with buildings, a bridge, and a large full moon in a starry sky.
Earth, Sun, and Moon

Domain: Earth and Space Science

Unit type: Core

Student role: Astronomers

Phenomenon: An astrophotographer can only take pictures of specific features on the Moon at certain times.    

Abstract digital painting of a landscape with green hills, a red-orange horizon, and a large yellow sun surrounded by blue and orange swirling shapes on the right.
Ocean, Atmosphere, and Climate

Domain: Earth and Space Science

Unit type: Core

Student role: Climatologists

Phenomenon: During El Niño years, the air temperature in Christchurch, New Zealand is cooler than usual.    

Illustration of a town with houses and fields under a sky with large clouds and swirling wind patterns, set against a backdrop of hills and mountains.
Weather Patterns

Domain: Earth and Space Science

Unit type: Core

Student role: Forensic meteorologists

Phenomenon: In recent years, rainstorms in Galetown have been unusually severe.    

A polar bear stands on a small ice floe surrounded by water and floating ice under a red sun in an Arctic landscape.
Earth’s Changing Climate

Domain: Earth and Space Science

Unit type: Core

Student role: Climatologists

Phenomenon: The ice on Earth’s surface is melting.    

Hexagonal badge with icons including a wrench, building, sun, screwdriver, paint can, and molecules on a purple geometric background.
Earth’s Changing Climate Engineering Internship

Domain: Earth and Space Science

Unit type: Engineering internship

Student role: Civil engineers

Phenomenon: Designing rooftops with different modifications can reduce a city’s impact on climate change.    

Colorful abstract digital artwork featuring a yellow figure holding a device, with blue and red shapes and textured patterns in the background.
Microbiome

Domain: Life Science

Unit type: Launch

Student role: Microbiological researchers

Phenomenon: The presence of 100 trillion microorganisms living on and in the human body may keep the body healthy.    

An abstract illustration of a person having their mouth and throat examined with a tongue depressor, surrounded by colorful shapes, with an eye chart in the background.
Metabolism

Domain: Life Science

Unit type: Core

Student role: Medical researchers

Phenomenon: Elisa, a young patient, feels tired all the time.    

Geometric orange background with a hexagon icon displaying symbols for statistics, farming, healthcare, safety vest, chemistry, and agriculture.
Metabolism Engineering Internship

Domain: Life Science

Unit type: Engineering internship

Student role: Food engineers

Phenomenon: Designing health bars with different molecular compositions can effectively meet the metabolic needs of patients or rescue workers.    

Six spiders with different colors and stripe patterns are arranged in a grid pattern on a dark background, showing variations in leg and body color.
Traits and Reproduction

Domain: Life Science

Unit type: Core

Student role: Biomedical students

Phenomenon: Darwin’s bark spider offspring have different silk flexibility traits, even though they have the same parents.    

An underwater scene shows a whale surrounded by jellyfish, sea turtles, and fish, with sunlight filtering through the water.
Populations and Resources

Domain: Life Science

Unit type: Core

Student role: Biologists

Phenomenon: The size of the moon jelly population in Glacier Sea has increased.    

A low-poly landscape with trees, mushrooms, a rabbit sitting, and a fox bending down near another rabbit under a sunny sky with mountains in the background.
Matter and Energy in Ecosystems

Domain: Life Science

Unit type: Core

Student role: Ecologists

Phenomenon: What caused the mysterious crash of a biodome ecosystem?    

Three green dinosaurs and one yellow dinosaur stand in a row on grass, each with purple spikes and a red spot on their backs. The sky is blue with light clouds.
Natural Selection

Domain: Life Science

Unit type: Core

Student role: Biologists

Phenomenon: The newt population in Oregon State Park has become more poisonous over time.    

Red-toned graphic with hexagonal badge featuring a world map, a mosquito, a DNA strand, charts, cubes, and circular icons. Geometric background pattern.
Natural Selection Engineering Internship

Domain: Life Science

Unit type: Engineering internship

Student role: Clinical engineers

Phenomenon: Designing malaria treatment plans that use different combinations of drugs can reduce drug resistance development while helping malaria patients.  

Two giant tortoises are near a river; one is by the water and the other is standing on land and stretching its neck toward a leafy tree.

Evolutionary History

Domain: Life Science

Unit type: Core

Student role: Paleontologists

Phenomenon: A mystery fossil at the Natural History Museum has similarities with both wolves and whales.    

Two people climb over rocky terrain strewn with electronic waste, with illustrated insets showing a hiking boot, a solar-powered device, and a person adjusting a belt-like gadget.
Harnessing Human Energy

Domain: Physical Science

Unit type: Launch

Student role: Energy scientists

Phenomenon: Rescue workers can use their own human kinetic energy to power the electrical devices they use during rescue missions.    

A spacecraft approaches a modular space station with large solar panels, set against a backdrop of outer space.
Force and Motion

Domain: Physical Science

Unit type: Core

Student role: Physicists

Phenomenon: The asteroid sample-collecting pod failed to dock at the space station as planned.    

Green geometric background with a hexagonal badge showing a parachute, a box, a ruler, a bandage, and stacked layers.
Force and Motion Engineering Internship

Domain: Physical Science

Unit type: Engineering internship

Student role: Mechanical engineering interns

Phenomenon: Designing emergency supply delivery pods with different structures can maintain the integrity of the supply pods and their contents. 

Illustration of a roller coaster car full of people with raised arms, speeding down a loop against a blue sky with clouds.
Magnetic Fields

Domain: Physical Science

Unit type: Core

Student role: Physicists

Phenomenon: During a test launch, a spacecraft traveled much faster than expected.    

Illustration of a person in a red coat and hat with arms crossed, eyes closed, surrounded by large orange and brown circles, possibly representing snow or lights.
Thermal Energy

Domain: Physical Science

Unit type: Core

Student role: Thermal scientists

Phenomenon: One of two proposed heating systems for Riverdale School will best heat the school.    

An orange popsicle gradually melts, shown in four stages from solid to completely melted, with wooden sticks visible, against a purple background.
Phase Change

Domain: Physical Science

Unit type: Core

Student role: Chemists

Phenomenon: A methane lake on Titan no longer appears in images taken by a space probe two years apart.    

A green background with a picture of a person and a sandwich.
Phase Change Engineering Internship

Domain: Physical Science

Unit type: Engineering internship

Student role: Chemical engineering interns

Phenomenon: Designing portable baby incubators with different combinations of phase change materials can keep babies at a healthy temperature.    

Digital illustration showing red and blue molecules on a blue background transitioning to a lighter background, representing molecular diffusion across a boundary.
Chemical Reactions

Domain: Physical Science

Unit type: Core

Student role: Forensic chemists

Phenomenon: A mysterious brown substance has been detected in the tap water of Westfield.    

Illustration of Earth with yellow arrows and colored waves approaching from the left, representing incoming solar or cosmic radiation.
Light Waves

Domain: Physical Science

Unit type: Core

Student role: Spectroscopists

Phenomenon: The rate of skin cancer is higher in Australia than in other parts of the world.    

Texas ELAR Literacy Adoption

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The next chapter in the Science of Reading

Introducing Amplify CKLA 3rd Edition, a K–5 core literacy program within Amplify’s literacy suite. For more than a decade, Amplify CKLA has transformed classrooms nationwide with its intentional knowledge building and systematic skills instruction. Available for the 2025–2026 school year, the 3rd Edition builds on this successful foundation to better support all students in becoming confident readers, writers, and thinkers. Together, let’s write the next chapter in the Science of Reading.

An astronaut floats in space near the Moon, with a speech bubble displaying

Amplify CKLA serves

150,000+

Classrooms

4,000,000+

Students

50

U.S. States and D.C.

Our approach

Improve outcomes with a program built on a decade of research, and that meets the strongest ESSA Tier I criteria.

Diagram illustrating the Simple View of Reading model, depicting language comprehension and word recognition pathways converging into skilled reading, with processes becoming increasingly strategic and automatic—a foundational concept in literacy curriculum for elementary education.

Grounded in the Science of Reading

As the original Science of Reading program, Amplify CKLA puts research into action with explicit, systematic foundational skills instruction and a proven knowledge-building sequence. In collaboration with education experts and practitioners, we provide powerful resources that deliver real results.

Background knowledge drives results

Amplify CKLA follows the Core Knowledge Sequence, a content-specific, cumulative, and coherent approach to knowledge building. This approach improves reading scores and closes achievement gaps by establishing a robust knowledge base that strengthens comprehension.

In Amplify CKLA 3rd Edition, we’ve enriched our Knowledge Sequence with a wider range of perspectives and high-quality texts in new and enhanced units.

An infographic showing the steps to pronounce

Build foundational skills for long-term success.

Students progress from simple to complex skill development starting with phonological and phonemic awareness. Instruction in Grades K–2 explicitly teaches the 150 spellings for the 44 sounds of English, following an intentional progression to ensure student success.

In our 3rd Edition, we’ve added dedicated Grades 3–5 foundational skills instruction that can either support core lessons or function as an intervention, based on student needs.

Daily writing deepens learning.

Grounded in the Science of Writing—the research on how kids learn to write—instruction is explicit, daily, and woven into the curriculum’s rich content. It covers both transcription (handwriting and spelling) and composition (organizing ideas into narratives) with high-impact activities like sentence-level combining and expanding, and pre-writing exercises. Writing and reading instruction are integrated so students simultaneously strengthen their communication skills, comprehension, and confidence.

A child in a green shirt smiles while writing in a notebook at a classroom desk, engaged in their k–5 literacy curriculum, with another student visible in the background.
An open laptop displaying a children's story titled

High-quality, diverse texts

Amplify CKLA students are immersed in a variety of texts—complex read-alouds, decodable chapter books, trade books, and content-rich readers—that reflect varied experiences and connect to learning goals.

Readers are 100% decodable for Grades K–2, empowering students to directly apply what they’ve learned. Novel Study units for Grades 3–5 offer a mix of contemporary and classic literature, and Culminating Research Units in every grade include a set of authentic texts and trade books.

Reach all learners with differentiated support.

Scaffolds and challenges, developed in collaboration with education experts, make content available to every student—including multilingual and English learners. With strategies embedded right in the curriculum, teachers can deliver in-the-moment, individualized instruction to meet all student needs.

For a dedicated English language development program aligned to Amplify CKLA, explore Language Studio.

Children sit on the floor in a classroom, some raising their hands, smiling and engaged. The lively atmosphere reflects the effectiveness of the k–5 literacy curriculum being implemented.

What’s included

The comprehensive resources in Amplify CKLA 3rd Edition support effective literacy instruction in every classroom.

Image of a laptop displaying an assessment report, surrounded by books about astronomy, an illustration of the moon, and a
Various educational materials, including textbooks, workbooks, a picture book, documents, and a laptop displaying a slide titled

Easy-to-use teacher materials

Amplify CKLA teachers are empowered to deliver effective instruction with the following print and digital resources:

  • Teacher Guides (K–5)
  • Assessment Guides (K–5)
  • Authentic texts and trade books (K–5)
  • Knowledge Image Cards (K–2)
  • Knowledge Flip Books (K–2, digital)
  • Ready-made and customizable Presentation Screens (K–5, digital)
  • Remediation and intervention resources (K–5)
  • On-demand professional development (K–5, digital)

Immersive Amplify CKLA student resources

Amplify CKLA students stay engaged with the following print and digital resources:

  • Decodable readers (K–2)
  • Student Readers and novels (3–5)
  • Student Activity Books (K–5)
  • Poet’s Journal and Writer’s Journal (3–5)
  • eReaders (K–5, digital)
  • Sound Library featuring articulation videos and songs (K–2, digital)
  • Assignable Practice Games (K–5)
An open laptop displaying a poem and a person, alongside two educational booklets and a green butterfly, depicts the essence of a rich core knowledge language arts curriculum. The background includes simple graphic elements enhancing the scene.
A collection of six book covers including

Rich literary experiences

All of the high-quality, diverse texts in Amplify CKLA connect to the curriculum, fostering your students’ curiosity and helping them learn to read with confidence.

  • Trade Book Collections (K–5) inspire student research in each grade’s Culminating Research Unit.
  • Classic and contemporary literature (3–5) delight students in Novel Study Units.
  • Increasingly complex Student Readers (K–5) develop students’ literacy across grades.

Hands-on phonics materials

Multisensory phonics and foundational skills resources engage students with fun, varied approaches that promote mastery and build independence.

  • Chaining Folders and Small Letter Cards (K)
  • Read-Aloud Big Books (K–1)
  • Large Letter Cards (K–2)
  • Sound Cards (K–2)
  • Image Cards (K–3)
  • Blending Picture Cards (K)
  • Consonant and Vowel Code Posters and Spelling Cards (1–2)
  • Sound Library (K–2, digital)
Image includes various vowel sounds and combinations on flashcards and worksheets, along with a playful illustrated mammal, all part of a comprehensive literacy curriculum for elementary students.

All-in-one digital platform

Our comprehensive platform simplifies your day-to-day tasks and makes it easier to plan and deliver lessons.

  • Ready-made and customizable Presentation Screens
  • Auto-scored digital assessments
  • Standards-based reporting
  • Assignable Practice Games
  • Sound Library
  • eReaders

Professional Development

Move beyond traditional program training with Amplify’s digital PD Library, designed to fully support your shift to the Science of Reading and Amplify CKLA. Deepen your understanding with:

  • Program and planning resources
  • Model lesson videos from real classrooms
  • Guidance on using Amplify’s literacy suite to provide multi-tiered support
Two women are seated at a table with papers and a laptop. One woman is working on the literacy curriculum for elementary grades, while the other is smiling.

Ready to continue your learning journey?

We also offer live, tailored professional learning sessions by expert partners to expand your Science of Reading expertise, strengthen implementation, and improve student outcomes.

“Teachers love the ease of implementing the program, and students have fun while learning. Growth is evident in our data, and we have the support of Amplify experts who are available to answer questions and provide top-notch professional development.”

Bridget Vaughan, District K–8 Coordinator of ELA and Literacy

Quincy Public Schools, Massachusetts

A circular flow chart titled

A true Science of Reading early literacy suite for Grades K–5

Amplify has combined the critical elements of a Science of Reading system: assessment, core curriculum, personalized learning, and intervention. Based on 20 years of experience with the Science of Reading, this complete system saves you time and aligns your literacy practices.

  • Assess with mCLASS®: A universal and dyslexia screener, powered by DIBELS 8th Edition
  • Instruct with Amplify CKLA: Core curriculum to build foundational skills and knowledge
  • Practice with Boost Reading™: Personalized learning program to extend and reinforce core
  • Intervene with mCLASS Intervention: Staff-led Tier 2 and 3 intervention for intensive support
“There were other programs that claimed to be [based on the] Science of Reading, but no other vendor provided the suite of products together. We did not want to be picking from here, picking from there. [Amplify’s literacy suite] met our needs, because it aligned and provided us the best suite of products, hands down.”

Nicole Peterson, Principal, Midway Middle School

Sampson County Schools, North Carolina

Language Studio: Multilingual and English language learner support

Language Studio is Amplify CKLA’s dedicated K–5 program for multilingual and English language learners. Through daily 30-minute lessons, it strengthens reading, writing, speaking, and listening skills while reinforcing core instruction. This tailored support empowers students to confidently access grade-level content as they develop academic English.

A young girl immerses herself in the science of reading at a classroom desk, surrounded by peers and diverse educational materials.

Explore more programs in Amplify’s literacy and biliteracy suite.

All of the programs in our literacy suite and our biliteracy suite are designed to support and complement each other. Learn more about our related programs:

Welcome, Minnesota Educators!

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Welcome, Oak Park USD, to the next chapter in the Science of Reading, with Amplify CKLA 3rd Edition!

For more than a decade, Amplify CKLA has transformed classrooms nationwide with its intentional knowledge building and systematic skills instruction.

Scroll down to learn how CKLA is uniquely designed to help all your students make learning leaps in literacy.

An astronaut floats in space near the Moon, with a speech bubble displaying

Our approach

Improve outcomes with a program that’s built on a decade of research and meets the strongest ESSA Tier I criteria.

Diagram illustrating the Simple View of Reading model, depicting language comprehension and word recognition pathways converging into skilled reading, with processes becoming increasingly strategic and automatic—a foundational concept in literacy curriculum for elementary education.

Grounded in the Science of Reading

As the original Science of Reading program, Amplify CKLA puts research into action with explicit, systematic foundational skills instruction and a proven knowledge-building sequence. In collaboration with education experts and practitioners, we provide powerful resources that deliver real results.

Background knowledge drives results

Amplify CKLA follows the Core Knowledge Sequence, a content-specific, cumulative, and coherent approach to knowledge building. This approach improves reading scores and closes achievement gaps by establishing a robust knowledge base that strengthens comprehension.

In Amplify CKLA 3rd Edition, we’ve enriched our Knowledge Sequence with a wider range of perspectives and high-quality texts in new and enhanced units.

An illustrated person in a yellow shirt looks at a colorful map of Puerto Rico. Above them are two educational posters about world geography and animals, integrating elements from the k–5 literacy curriculum to enhance learning experiences.
An infographic showing the steps to pronounce

Build foundational skills for long-term success.

Students progress from simple to complex skill development starting with phonological and phonemic awareness. Instruction in Grades K–2 explicitly teaches the 150 spellings for the 44 sounds of English, following an intentional progression to ensure student success.

In our 3rd Edition, we’ve added dedicated Grade 3 foundational skills instruction that can either support core lessons or function as an intervention, based on student needs.

Daily writing deepens learning.

Grounded in the Science of Writing—the research on how kids learn to write—instruction is explicit, daily, and woven into the curriculum’s rich content. It covers both transcription (handwriting and spelling) and composition (organizing ideas into narratives) with high-impact activities like sentence-level combining and expanding, and pre-writing exercises. Writing and reading instruction are integrated so students simultaneously strengthen their communication skills, comprehension, and confidence.

A child in a green shirt smiles while writing in a notebook at a classroom desk, engaged in their k–5 literacy curriculum, with another student visible in the background.
An open laptop displaying a children's story titled

High-quality, diverse texts

Amplify CKLA students are immersed in a variety of texts—complex read-alouds, decodable chapter books, trade books, and content-rich readers—that reflect varied experiences and connect to learning goals.

Readers are 100% decodable for Grades K–2, empowering students to directly apply what they’ve learned. Novel Study units for Grades 3–5 offer a mix of contemporary and classic literature, and Culminating Research Units in every grade include a set of authentic texts and trade books.

Reach all learners with differentiated support.

Scaffolds and challenges, developed in collaboration with education experts, make content accessible to every student—including multilingual and English learners. With strategies embedded right in the curriculum, teachers can deliver in-the-moment, individualized instruction to meet diverse student needs.

For a dedicated English language development program aligned to Amplify CKLA, explore Language Studio.

Children sit on the floor in a classroom, some raising their hands, smiling and engaged. The lively atmosphere reflects the effectiveness of the k–5 literacy curriculum being implemented.
Image of a laptop displaying an assessment report, surrounded by books about astronomy, an illustration of the moon, and a

What’s included with Amplify CKLA

The comprehensive resources in Amplify CKLA 3rd Edition support effective literacy instruction in every classroom.

Easy-to-use teacher materials

Amplify CKLA teachers are empowered to deliver effective instruction with the following print and digital resources:

  • Teacher Guides (K–5)
  • Assessment Guides (K–5)
  • Authentic texts and trade books (K–5)
  • Knowledge Image Cards (K–2)
  • Knowledge Flip Books (K–2, digital)
  • Ready-made and customizable Presentation Screens (K–5, digital)
  • Remediation and intervention resources (K–5)
  • On-demand professional development (K–5, digital)
Various educational materials, including textbooks, workbooks, a picture book, documents, and a laptop displaying a slide titled
An open laptop displaying a poem and a person, alongside two educational booklets and a green butterfly, depicts the essence of a rich core knowledge language arts curriculum. The background includes simple graphic elements enhancing the scene.

Immersive Amplify CKLA student resources

Amplify CKLA students stay engaged with the following print and digital resources:

  • Decodable readers (K–2)
  • Student Readers and novels (3–5)
  • Student Activity Books (K–5)
  • Poet’s Journal (3–5)
  • eReaders (K–5, digital)
  • Sound Library featuring articulation videos and songs (K–2, digital)
  • Skill-building practice games (K–5)

Rich literary experiences

All the high-quality, diverse texts in Amplify CKLA connect to the curriculum, fostering your students’ curiosity and helping them learn to read with confidence.

  • Trade Book Collections (K–5) inspire student research in each grade’s Culminating Research Unit.
  • Classic and contemporary literature (3–5) delight students in Novel Study Units.
  • Increasingly complex Student Readers (K–5) develop students’ literacy across grades.
A collection of six book covers including
Image includes various vowel sounds and combinations on flashcards and worksheets, along with a playful illustrated mammal, all part of a comprehensive literacy curriculum for elementary students.

Hands-on phonics materials

Multisensory phonics and foundational skills resources engage students with fun, varied approaches that promote mastery and build independence.

  • Chaining Folders and Small Letter Cards (K)
  • Read-Aloud Big Books (K–1)
  • Large Letter Cards (K–2)
  • Sound Cards (K–2)
  • Image Cards (K–3)
  • Blending Picture Cards (K)
  • Consonant and Vowel Code Posters and Spelling Cards (1–2)
  • Sound Library (K–2, digital)

All-in-one digital platform

Our comprehensive platform simplifies your day-to-day tasks and makes it easier to plan and deliver lessons.

  • Ready-made and customizable Presentation Screens
  • Auto-scored digital assessments
  • Standards-based reporting
  • Assignable skill-building games
  • Sound Library
  • eReaders
A laptop displays a student screen showing a quiz question about word usage, part of a literacy curriculum for elementary students. Behind it, a computer monitor shows an assessment report interface. Abstract decorative elements are in the background.
Two women are seated at a table with papers and a laptop. One woman is working on the literacy curriculum for elementary grades, while the other is smiling.

Professional development

Move beyond traditional program training with Amplify’s digital PD Library, designed to fully support your shift to the Science of Reading and Amplify CKLA. Deepen your understanding with:

  • Program and planning resources
  • Model lesson videos from real classrooms
  • Guidance on using Amplify’s literacy suite to provide multi-tiered support
“Teachers love the ease of implementing the program, and students have fun while learning. Growth is evident in our data, and we have the support of Amplify experts who are available to answer questions and provide top-notch professional development.”

Bridget Vaughan, District K–8 Coordinator of ELA and Literacy

Quincy Public Schools, Massachusetts

Language Studio: Multilingual and English language learner support

Language Studio is Amplify CKLA’s dedicated K–5 program for multilingual and English language learners. Through daily 30-minute lessons, it strengthens reading, writing, speaking, and listening skills while reinforcing core instruction. This tailored support empowers students to confidently access grade-level content as they develop academic English.

A young girl immerses herself in the science of reading at a classroom desk, surrounded by peers and diverse educational materials.

Amplify CKLA serves

150,000+

Classrooms

4,000,000+

Students

50

U.S. States and D.C.

“There were other programs that claimed to be [based on the] Science of Reading, but no other vendor provided the suite of products together. We did not want to be picking from here, picking from there. [Amplify’s literacy suite] met our needs, because it aligned and provided us the best suite of products, hands down.”

Nicole Peterson, Principal, Midway Middle School

Sampson County Schools, North Carolina

The next chapter in the Science of Reading

Introducing Amplify CKLA 3rd Edition, a K–5 core literacy program within Amplify’s literacy suite. For more than a decade, Amplify CKLA has transformed classrooms nationwide with its intentional knowledge building and systematic skills instruction. Available for the 2025–2026 school year, the 3rd Edition builds on this successful foundation to better support all students in becoming confident readers, writers, and thinkers. Together, let’s write the next chapter in the Science of Reading.

An astronaut floats in space near the Moon, with a speech bubble displaying

Amplify CKLA serves

150,000+

Classrooms

4,000,000+

Students

50

U.S. States and D.C.

Our approach

Improve outcomes with a program built on a decade of research, and that meets the strongest ESSA Tier I criteria.

Diagram illustrating the Simple View of Reading model, depicting language comprehension and word recognition pathways converging into skilled reading, with processes becoming increasingly strategic and automatic—a foundational concept in literacy curriculum for elementary education.

Grounded in the Science of Reading

As the original Science of Reading program, Amplify CKLA puts research into action with explicit, systematic foundational skills instruction and a proven knowledge-building sequence. In collaboration with education experts and practitioners, we provide powerful resources that deliver real results.

Background knowledge drives results

Amplify CKLA follows the Core Knowledge Sequence, a content-specific, cumulative, and coherent approach to knowledge building. This approach improves reading scores and closes achievement gaps by establishing a robust knowledge base that strengthens comprehension.

In Amplify CKLA 3rd Edition, we’ve enriched our Knowledge Sequence with a wider range of perspectives and high-quality texts in new and enhanced units.

An infographic showing the steps to pronounce

Build foundational skills for long-term success.

Students progress from simple to complex skill development starting with phonological and phonemic awareness. Instruction in Grades K–2 explicitly teaches the 150 spellings for the 44 sounds of English, following an intentional progression to ensure student success.

In our 3rd Edition, we’ve added dedicated Grades 3–5 foundational skills instruction that can either support core lessons or function as an intervention, based on student needs.

Daily writing deepens learning.

Grounded in the Science of Writing—the research on how kids learn to write—instruction is explicit, daily, and woven into the curriculum’s rich content. It covers both transcription (handwriting and spelling) and composition (organizing ideas into narratives) with high-impact activities like sentence-level combining and expanding, and pre-writing exercises. Writing and reading instruction are integrated so students simultaneously strengthen their communication skills, comprehension, and confidence.

A child in a green shirt smiles while writing in a notebook at a classroom desk, engaged in their k–5 literacy curriculum, with another student visible in the background.
An open laptop displaying a children's story titled

High-quality, diverse texts

Amplify CKLA students are immersed in a variety of texts—complex read-alouds, decodable chapter books, trade books, and content-rich readers—that reflect varied experiences and connect to learning goals.

Readers are 100% decodable for Grades K–2, empowering students to directly apply what they’ve learned. Novel Study units for Grades 3–5 offer a mix of contemporary and classic literature, and Culminating Research Units in every grade include a set of authentic texts and trade books.

Reach all learners with differentiated support.

Scaffolds and challenges, developed in collaboration with education experts, make content available to every student—including multilingual and English learners. With strategies embedded right in the curriculum, teachers can deliver in-the-moment, individualized instruction to meet all student needs.

For a dedicated English language development program aligned to Amplify CKLA, explore Language Studio.

Children sit on the floor in a classroom, some raising their hands, smiling and engaged. The lively atmosphere reflects the effectiveness of the k–5 literacy curriculum being implemented.

What’s included

The comprehensive resources in Amplify CKLA 3rd Edition support effective literacy instruction in every classroom.

Image of a laptop displaying an assessment report, surrounded by books about astronomy, an illustration of the moon, and a
Various educational materials, including textbooks, workbooks, a picture book, documents, and a laptop displaying a slide titled

Easy-to-use teacher materials

Amplify CKLA teachers are empowered to deliver effective instruction with the following print and digital resources:

  • Teacher Guides (K–5)
  • Assessment Guides (K–5)
  • Authentic texts and trade books (K–5)
  • Knowledge Image Cards (K–2)
  • Knowledge Flip Books (K–2, digital)
  • Ready-made and customizable Presentation Screens (K–5, digital)
  • Remediation and intervention resources (K–5)
  • On-demand professional development (K–5, digital)

Immersive Amplify CKLA student resources

Amplify CKLA students stay engaged with the following print and digital resources:

  • Decodable readers (K–2)
  • Student Readers and novels (3–5)
  • Student Activity Books (K–5)
  • Poet’s Journal and Writer’s Journal (3–5)
  • eReaders (K–5, digital)
  • Sound Library featuring articulation videos and songs (K–2, digital)
  • Assignable Practice Games (K–5)
An open laptop displaying a poem and a person, alongside two educational booklets and a green butterfly, depicts the essence of a rich core knowledge language arts curriculum. The background includes simple graphic elements enhancing the scene.
A collection of six book covers including

Rich literary experiences

All of the high-quality, diverse texts in Amplify CKLA connect to the curriculum, fostering your students’ curiosity and helping them learn to read with confidence.

  • Trade Book Collections (K–5) inspire student research in each grade’s Culminating Research Unit.
  • Classic and contemporary literature (3–5) delight students in Novel Study Units.
  • Increasingly complex Student Readers (K–5) develop students’ literacy across grades.

Hands-on phonics materials

Multisensory phonics and foundational skills resources engage students with fun, varied approaches that promote mastery and build independence.

  • Chaining Folders and Small Letter Cards (K)
  • Read-Aloud Big Books (K–1)
  • Large Letter Cards (K–2)
  • Sound Cards (K–2)
  • Image Cards (K–3)
  • Blending Picture Cards (K)
  • Consonant and Vowel Code Posters and Spelling Cards (1–2)
  • Sound Library (K–2, digital)
Image includes various vowel sounds and combinations on flashcards and worksheets, along with a playful illustrated mammal, all part of a comprehensive literacy curriculum for elementary students.

All-in-one digital platform

Our comprehensive platform simplifies your day-to-day tasks and makes it easier to plan and deliver lessons.

  • Ready-made and customizable Presentation Screens
  • Auto-scored digital assessments
  • Standards-based reporting
  • Assignable Practice Games
  • Sound Library
  • eReaders

Professional Development

Move beyond traditional program training with Amplify’s digital PD Library, designed to fully support your shift to the Science of Reading and Amplify CKLA. Deepen your understanding with:

  • Program and planning resources
  • Model lesson videos from real classrooms
  • Guidance on using Amplify’s literacy suite to provide multi-tiered support
Two women are seated at a table with papers and a laptop. One woman is working on the literacy curriculum for elementary grades, while the other is smiling.
“Teachers love the ease of implementing the program, and students have fun while learning. Growth is evident in our data, and we have the support of Amplify experts who are available to answer questions and provide top-notch professional development.”

Bridget Vaughan, District K–8 Coordinator of ELA and Literacy

Quincy Public Schools, Massachusetts

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A true Science of Reading early literacy suite for Grades K–5

Amplify has combined the critical elements of a Science of Reading system: assessment, core curriculum, personalized learning, and intervention. Based on 20 years of experience with the Science of Reading, this complete system saves you time and aligns your literacy practices.

  • Assess with mCLASS®: A universal and dyslexia screener, powered by DIBELS 8th Edition
  • Instruct with Amplify CKLA: Core curriculum to build foundational skills and knowledge
  • Practice with Boost Reading™: Personalized learning program to extend and reinforce core
  • Intervene with mCLASS Intervention: Staff-led Tier 2 and 3 intervention for intensive support
“There were other programs that claimed to be [based on the] Science of Reading, but no other vendor provided the suite of products together. We did not want to be picking from here, picking from there. [Amplify’s literacy suite] met our needs, because it aligned and provided us the best suite of products, hands down.”

Nicole Peterson, Principal, Midway Middle School

Sampson County Schools, North Carolina

Language Studio: Multilingual and English language learner support

Language Studio is Amplify CKLA’s dedicated K–5 program for multilingual and English language learners. Through daily 30-minute lessons, it strengthens reading, writing, speaking, and listening skills while reinforcing core instruction. This tailored support empowers students to confidently access grade-level content as they develop academic English.

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Explore more programs in Amplify’s literacy and biliteracy suite.

All of the programs in our literacy suite and our biliteracy suite are designed to support and complement each other. Learn more about our related programs:

S4 – 02. Bethany and Dan share their math biographies

Promotional graphic for "math teacher lounge," season 4 episode 2, featuring photos and names of math teaching guests Bethany Lockhart and Dan Meyer.

In this episode, co-hosts Bethany Lockhart Johnson and Dan Meyer get personal and share their “math bios”—their early experiences with math and how those experiences turned them into the educators they are today.

Explore more from Math Teacher Lounge by visiting our main page

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Dan Meyer (00:00):

We’re recording. What’s up, everybody. This is Dan Meyer with Math Teacher Lounge.

Bethany Lockhart Johnson (00:08):

And I’m Bethany Lockhart Johnson. We are so excited to be back. Season Four, Episode Two. Hi, Dan.

Dan Meyer (00:16):

Hey, Bethany, how are you doing today?

Bethany Lockhart Johnson (00:18):

I’m so excited to be talking with you! You know, as we record this, our reunion at NCTM is getting closer and closer.

Dan Meyer (00:28):

The NCTM live show is gonna be bonkers. I don’t think people are ready for it. You think you know what we’re about on MTL from listening to us, but the live show is gonna be outta control. You cannot imagine how many clowns and elephants Bethany wants to have at the live show. We’re still—we’re trying to talk her down from like three to one, but we’ll see.

Bethany Lockhart Johnson (00:44):

All I want is the t-shirt cannon. Because I used to go to these baseball games and they would have a t-shirt cannon. And I thought, I wanna operate a t-shirt cannon! So like, if I could be standing on stage aiming t-shirts at people who are jumping up and down requesting a t-shirt? I don’t know. Doesn’t that sound fun?

Dan Meyer (01:01):

Sounds awesome. High point of my college education was catching a t-shirt. No, it was—it was a burrito. It was a burrito cannon. But I think it was just a t-shirt cannon, but it was a burrito cannon. And I caught a burrito at a game and it was probably the most memorable moment of all of college education for me.

Bethany Lockhart Johnson (01:16):

Was the burrito still warm?

Dan Meyer (01:18):

Oh yeah. I think it got—like, I think it might’ve been warm at one point and then it got warmed back up through the muzzle velocity of the cannon. So it was a pretty great system they had going on there. <Laugh> Yeah. <Laugh> Anyway, I’m off topic, but, we’re thrilled to—I’m thrilled to chat with you and we’re thrilled to be listened to by you folks out there in MTL land. In the lounge itself. We got a fun show today.

Bethany Lockhart Johnson (01:40):

So if you listen to Episode One—which if you haven’t, hope you go back and listen to it—if you listen to Season Four, Episode One, you’re gonna hear—we asked Huon, KT, who is this delight of a joyful teacher. We asked her to talk to us about what’s her math bio. And we want to ask all of our guests—like, I wanna go back and ask every single guest we’ve ever had to tell us their math bio.

Dan Meyer (02:06):

Yep.

Bethany Lockhart Johnson (02:06):

Because, while seemingly simple in nature, our students enter our math classroom already having had this relationship with math and these notions about their role in math or what they think about math. And it impacts our school year with them if we’re a teacher. And it impacts our relationship with math as we move through our education and beyond. Right? And I I’m so excited about this question, ’cause I think it also ties into this theme for Season Four, which is joyful math, and diving into “When has math felt joyful? When has it not? Does it feel like—how do we think about how our math bio, our relationship with math, has evolved into a joyful or less joyful place?”

Dan Meyer (02:54):

I get it. And what’s really key here, I think, is that teaching more than other professions is a generational profession. You know what I’m saying? Like, no one is like, “Well, you know, I sold insurance to you and now you’re selling insurance to, you know, my grandkids; that’s amazing!” But people are always posting photos when, like, you teach someone who then becomes a teacher later. Teaching is a generational sort of thing. So the kinds of joyful experiences that we offer or don’t offer students now affect the experiences that students who haven’t even been born yet will have, you know, some 20, 30 years later. That, to me, is a trip. And well-worth exploring, you know, how we got here, mathematically speaking.

Bethany Lockhart Johnson (03:39):

I remember a friend had sent me this image of an assignment that her son got that was asking for their Mathography. They wanted to know about their history of mathematics. And this was their first assignment. And this teacher, I would like to imagine, read them all and used it to inform conversations about students’ relationship with math. And, you know, some of the questions they asked were thinking about whether you consider yourself, quote, unquote, “good at math.” Like “what kind of experiences have you had? What do you like or dislike about math? What is, you know—what do you expect to learn in math this year?” Just asking students to actually pause and examine and reflect on their relationship and then also looking forward to, like, what kind of a classroom community do we wanna create? And I loved that assignment. And yeah, so today’s episode Dan, guess what?

Dan Meyer (04:32):

What’s going on? What’s happening?

Bethany Lockhart Johnson (04:33):

I figured we should ask each other about our math bio.

Dan Meyer (04:39):

I think the people out there would love to know this about us. ‘Cause you know, we’re both awesome. But also what’s really cool here is that like, I don’t know this about you. Like not, not a lot. You know, the folks at Amplify, they kind of assembled me and Bethany together in the same way that record labels assembled pop boy bands, girl bands, that kind of thing, back in the day. You know, grabbing some stars from screen or film and just like throwing ’em together and saying, “All right, now you’re here to perform together.” And so it’s just a really good moment for us to, like, settle back and just know who we’ve been working with for the last three seasons and change here. I love it.

Bethany Lockhart Johnson (05:15):

Well, I don’t know. I don’t actually agree with that, Dan. Because don’t you remember? We knew each other beforehand. And while I would like to think of us as…oh, I’ll say One Direction—well, no, One Direction is now defunct. Who’s another band that got formed by one of those shows and is still together and still—

Dan Meyer (05:33):

BTS! K-Pop, you know! Let’s go!

Bethany Lockhart Johnson (05:35):

K-pop. BTS.

Dan Meyer (05:38):

Let’s go, Bethany <laugh>.

Bethany Lockhart Johnson (05:39):

So can we incorporate some K-pop into the NCTM Math Teacher Lounge live episode? Don’t answer now. Don’t answer now. OK. So not only are we gonna share our math bios, but we want to encourage you listeners to share your math bio with somebody in your life. It could be a child in your life, maybe talking to your kiddo about what was it like. What was math like for you? It could be a student that you have. It could be a partner, a friend, a parent. I mean, the sky’s the limit. Share your math bio. And most of all, share with us. We wanna hear about your math bio and you can share it with us at Twitter, at MTLShow, or in our Facebook group, Math Teacher Lounge.

Dan Meyer (06:26):

Stop on by, please. All right. I’m gonna just share like, just a couple of quick, signposts. Not the full bio. Gotta leave them wondering about something here. But here’s a few quick highlights and lowlights of my math bio and how, maybe, it made me the teacher that I was and the educator I am. Is that cool?

Bethany Lockhart Johnson (06:44):

Wait, I didn’t even, I didn’t ask you yet.

Dan Meyer (06:46):

Ask me what?

Bethany Lockhart Johnson (06:47):

Hey, Dan!

Dan Meyer (06:49):

Is there like a magical word? Like, what’s your math bio? <Laugh> Oh, go for it. No, no, that’s right. They won’t know what I’m talking about. Why is he talking about his math bio? Bethany—

Bethany Lockhart Johnson (06:57):

That whole lead-in that we just gave? They might not know.

Dan Meyer (07:00):

Yeah. We just talked about math bios for the last 20 minutes. But yeah, they might not know what we’re—

Bethany Lockhart Johnson (07:04):

<laugh> So Dan, why don’t you go first? ‘Cause I know you were gonna ask me to go first, but why don’t you go first? Dan? What’s your math bio?

Dan Meyer (07:12):

Oh, wow. Well, thank you for the formal invitation to share my math bio, Bethany Lockhart Johnson. So, I’ll just share—I just wanna share a couple items here, not the full history. Gotta leave ’em—leave a little mystery in there, you know what I’m saying? But here’s a few highlights and lowlights, and I think what it means for me as an educator. So, I was homeschooled for eight years. That was big—did a lot of math learning on my own. Couple of lowlights from that, a lot of highlights, in terms of just like being able to, like, learn at my own rate and just jump on ahead and pursue different wacky things. But I tried to switch into public school in fourth grade and I lasted, um, four hours. I didn’t even go to class. I enrolled and then it was like, boom, I was out of there. Because we went to the school; we met the teacher, saw the room, very nice person and place. But I got the homework assignment and the homework assignment was gibberish. I had no idea what to do and such was this feeling of just, like, despair and hopelessness, I was like, I cannot be a part of this. I remember the assignment. It was about identifying scalene, isosceles, and equilateral triangles. I’ll tell you this: I am quite good at that now. But at the time, like, I didn’t know what those words meant. And you know, at that moment we had Encyclopedia Britannica, could not Google this or even Ask Jeeves or AltaVista this so well back then. It just—it was an entry moment of failure and realizing that so much of math is like a, kind of a social kind of construct. And if you’re not part of that social circle, what can you do? So that was a bummer. Another bummer was eighth-grade math, learned it all by way of videotape. You know, put in the tape and watch—not gonna say the person’s name and not this person’s fault—but it was just like watching someone work on a whiteboard. Kind of a precursor to Khan Academy, kind of a drag. Went to high school—

Bethany Lockhart Johnson (09:02):

Wait, wait, wait, wait. We were—I’m not ready to jump to high school. Wait. Can you pause for just a second?

Dan Meyer (09:06):

Yeah. Rock on.

Bethany Lockhart Johnson (09:07):

I just need you to go back to the triangle thing. So in that moment, what did that mean for you that you had had all these experiences with math and then you encounter math in a completely different sphere, a public school, and it did not have a connection or meaning to you because prior to that, it sounds like it was pretty positive. Right? Explore these things you’re curious about; there’s not, like, a level you need to stick with…

Dan Meyer (09:33):

Yep, yep. Yeah. I think that’s right. Maybe it was a little bit of a classic, like, “Oh, I didn’t have a growth mindset; my mindset was like, ‘Oh, I’m good at math because I am, you know, born that way,’” and all of a sudden, that identity was, you know, thrown into question. And, you know, my foundation was all of a sudden quite shaky. And yeah, that’s—you know, I think I taught a lesson recently where I was like, “Hey, this whole thing with a less-than or equal-to sign and a greater-than or equal-to sign, like what those signs are: it’s just, it’s language. And if it’s confusing to you, it’s not because you’re bad at math; it’s ’cause language is oftentimes confusing ’cause people have to agree on it.” So I dunno, that sort of thing is kind of filtered in, filtered back in periodically, some sympathy for like how a lot of math is like just socially agreed upon ways of working with, you know, numbers, shapes, patterns, that kind of thing.

Bethany Lockhart Johnson (10:20):

OK.

Dan Meyer (10:21):

Anyway.

Bethany Lockhart Johnson (10:21):

  1. And in this home school—I have a lot of questions about that, but I’ll stick to one—were you in a community of people that you talked about these math ideas with? Were you homeschooled solo? You have a sibling, so I think you were together, right?

Dan Meyer (10:39):

Yeah. Yeah. I’ve got a twin sister. So we were, you know, like, right on with each other the whole way through there. And yeah, so we had—but it wasn’t, it wasn’t like a—it was a lot of individual work, with my flavor of homeschooling.

Bethany Lockhart Johnson (10:54):

  1. Got it. And the tapes—wait, before you go to high school, the tapes, the VHS tapes, which I’m just loving this image—

Dan Meyer (11:02):

Yeah.

Bethany Lockhart Johnson (11:02):

Was that a positive experience? Was that because that was an area of math that whoever was homeschooling you wasn’t that comfortable with? Why was it that route for the tapes, and what was that? Was that joyful for you?

Dan Meyer (11:15):

Yeah, definitely not joyful. Yeah, it was like, if you had questions, you couldn’t really ask them of the VHS tape. It didn’t work out so well in that way. And it was a lot of operational-type math. It was, you know—there was no give and take; it was all kind of take. From the video teacher. And yeah, I was doing that because my homeschool teacher, my mom, who is very smart in lots of areas, did not have the math knowledge or confidence, especially to help with math at eighth grade. And that was a big reason why, flash-forward to the next year, went to high school.

Bethany Lockhart Johnson (11:48):

Nice segue. OK.

Dan Meyer (11:50):

<laugh> You caught up to high school…I encountered just like four years of just crazy-good, just bonkers-good math teachers who just really changed a lot for me. Especially, Mr. Bishop and Mr. Cavender, very cool folks who did a lot. And especially, I think Mr. Bishop and Cavender both modeled for me what curiosity from a knowledgeable adult looks like. Like someone who, you know, now I can say to myself, “Oh, they were kind of like putting on an act of being very curious about answers they were hearing for the 2000th time from a student,” let’s say, but what a powerful experience that was for me to feel like, “Oh, wow, my thoughts are interesting to someone besides myself.” I got like, maybe it’s two real highlights that I’ll just point to, from my math bio that made me the math teacher and person that I am. Let’s see here. Maybe three, if you you’ll indulge me. One is just like the idea that you could do math wherever you have your brain, a pencil and a paper. And so I remember like in high school, I was in church with my family and kind of a little bit bored of whatever’s going on. And I just had the Bolton and I like drew a pentagon, a regular one, then a hexagon, a regular one, and kept on drawing, like adding sides to the shape. And it was like, it was becoming a circle. And, you know, I was able to take the area of each of those shapes and say, you know, “What happens as you send the number of sides to infinity?” And watch as the formula for area of a circle, Pi R squared, popped out. And it was kind of a literal religious experience, in that moment, just like, “Wow, like my brain’s so cool and math is so cool and paper and pencil’s so cool.” And so there’s that. Just that kind of experience was pretty awesome. And then I would just say like, I’ve had some really fantastic experiences with math in the world itself. Stuff like—let’s see, this is gonna invite more questions from Bethany, probably, maybe I should avoid—I got, I have a Guinness—I have a Guinness world record that’s almost 20 years old. This Guinness world record is—it’s old enough to drive basically at this point. And almost old enough to drink. But like it was—it was a record for chaining the longest paper clip chain together in 24 hours. And the only way I was able to break that record was through mathematics. Where, like, I would be finishing a box of clips. And I would say to my buddy who was there, “I just finished a box of clips.” And that person would type in the number of clips that I had just done. And then a mathematical formula that I had created would tell me how many—how long the chain was at that point. It was being rolled around a spool. And like, it’s just like, wow. So math just made this possible. You know, math revealed that the record I was trying to beat was beatable, because I did the math on it. It was, like, thousands of feet long in 24 hours. And other folks might be like, “Oh, like, that’s that’s huge!” But me, I was like, “All right, let’s divide this out. You know, divide by 24 hours in a day, divide by 60 minutes an hour, 60 seconds in a minute. Oh, that’s like one clip every four seconds. That’s really slow.” You know, think about that <counts aloud>, “Clip, two, three, four. Clip two, three…” It was just slow. So math helped me, you know, wreck that record. Which to my knowledge still still stands. Don’t get any ideas, Math Teacher Lounge Folks! Is this news to you, Bethany? You haven’t blinked in the last, like, five minutes. I’m curious if this is new.

Bethany Lockhart Johnson (15:20):

It is news to me. And I have so many questions. Because OK, if four seconds was slow, so then what was your like—so then I’m assuming a hundred clips per box? Like, what was the rate, you know, per box? How long did it take you to complete a box? What did this friend like? Did this friend stick with you for the whole 24 hours? Did you really do it for 24 hours? Or once you beat the record, did you rest? How did you account for biological function? Like, needs? Like a restroom?

Dan Meyer (15:51):

<Interrupting> Like what?

Bethany Lockhart Johnson (15:51):

Eating.

Dan Meyer (15:51):

Like what, Bethany? OK.

Bethany Lockhart Johnson (15:52):

Um, Sleep.

Dan Meyer (15:55):

So yeah, maybe we dive into some of the specifics in a different time.

Bethany Lockhart Johnson (15:59):

Just tell me one of ’em. Tell me one.

Dan Meyer (15:59):

I’ll just say. So as to discourage other Math Teacher Lounge listeners from taking this on—back off of the record, folks!—this was back in college, so I was a little more limber back then. But I did one—I think it was 1.8 seconds per clip. For an entire 24 hours. Just like, so just like think about it, would you? If you’re gonna step to me on this one, just think about that, OK? And then, and then, you know, make an informed decision.

Bethany Lockhart Johnson (16:28):

Wait. Wait, wait, I just wanna tell you one thing. I’m picturing somebody with a straw, and like, giving you water as you keep clipping. I’m picturing, like, music, I…

Dan Meyer (16:37):

That’s not far. That’s not far. That’s not far from—yeah.

Bethany Lockhart Johnson (16:40):

So many questions! OK. Go on. Sorry, sorry, sorry. Go on. This is your bio.

Dan Meyer (16:44):

We gotta, I gotta wrap this up. I wanna hear your bio. But, like, I would just say like this move to this sense that math is actually a thing that’s useful for more than just a grade; it’s useful for more than just, you know, the societal, you know, adulation that comes from being a math nerd. That kind of thing. And so that, I think that affected a lot of math teaching for me. And, if I gotta, like, summarize math teaching itself in a journey, it went from like, “Hey kids, aren’t I awesome?” to, “Hey kids, isn’t math awesome?” to “Hey kids, aren’t you awesome?” And like that journey was facilitated by lots and lots of people, you know, a lot of personal growth, but at this point, at one point I was like, “Hey, math can help you get records and whatnot. It’s really useful.” And now I’m like, “Wow, your brain’s just doing just really interesting things. I can help you understand how interesting those things are, and maybe make them more interesting, or interesting in a different way, with some help here.” Let’s put a pin in that. That’s the math bio.

Bethany Lockhart Johnson (17:50):

  1. So I have no doubt that if you ask someone in your life, listeners, for their math bio, that you will discover things about them that you never knew. Literally the questions that I have…I have so many question. And Dan is very good at, you know, bringing me back. Bring me back, like, come on, come on. But I just wanna say, overall, your journey seems pretty joyful. It seems pretty joyful. It seems pretty full of confidence. I don’t wanna say “ego” in a negative way, but I wanna say you were buoyed by these experiences that allowed you to feel like math was a place for you to thrive.

Dan Meyer (18:36):

Right.

Bethany Lockhart Johnson (18:36):

Where you could try out things. You could try it out and just, “I could do that!” Right? Like…your relationship just felt very, like…you felt like you had autonomy, agency, perhaps much like you, you operate in this world. Dan, is that, is that right <laugh>?

Dan Meyer (18:54):

Yeah, I think it’s fair to say. And without telling too much of her story, my twin sister with whom I share most things, including genetics, you know—she had a very different experience in math early on. She’s brilliant. She’s a doctor. And not, you know, the book kind of doctor that I am, but like a real, you know, medical doctor. She’s brilliant. But we were—we encountered different messages about who math was made for, early on in, you know, in our entire math learning. And she—we both digested the messages that we were sent, and took, you know, different, different paths because of them, for sure.

Bethany Lockhart Johnson (19:31):

Funny how that works. I thank you, Dan. I do. For in all sincerity, I appreciate you sharing that. And I think that it’s exciting to hear how it influenced your teaching. It feels like you want to cultivate those experiences for your students. And I’ve been in the room when you’ve presented; I was in a room where you taught a class live. It felt like you were making space for the students to have these aha moments. And it feels like in your work at Desmos, and now Amplify, you’re trying to create these products that allow folks to recreate these amazing math moments. Right? And that it’s for everyone and that it’s accessible and it can be very positive. I feel like I have this new perspective on kind of the energy you bring to your teaching. So thank you for sharing that.

Dan Meyer (20:24):

Yeah. Been a pleasure. Thanks for your questions here, Bethany. And it’s been—it’s been fun to reflect on it. And I do—I do feel very lucky in lots of ways. Privileged. Lucky. I know, like—I think the world has been set up for my success in lots of ways, as who I am. But I do just…yeah, I feel—I want more people to experience what it’s like when you walk into a math classroom and it’s like, “Hey, this place is for you. You have interesting thoughts about this. Let’s get ’em out.” So that’s awesome. I would love to hear about you and how you…I mean, we have taught different kinds of kids. You know, I taught kids who I think were somewhat set in, they’re a little bit more solid at secondary in who they are as a math learner. Like “I know who math is and who I am with math.” And I’m really excited to hear what your math bio allowed you to do with students who were perhaps open to the idea that they are very mathematical or at least not yet closed off to those possibilities. So, yeah. What are some of the high, the, you know, the high and low water marks of the making of Bethany Lockhart Johnson, math teacher? <Laugh>

Bethany Lockhart Johnson (21:24):

Thanks for asking, Dan. <Laugh> I’ve shared aspects of my math bio because I think it really informs the way that I talk to people about math and think about math. And I like to share it because I want folks to consider their own journey with math, as we like engage with problem-solving and sense-making and thinking about the students in our classroom. My dad is a math and computer science major. So he had a computer very early on. I wish he had invested in Apple early on when he had like one of the first Apple computers ever. And, sorry, dad, but it’s true. I do wish you had done that.

Dan Meyer (22:10):

I’m sure he does too.

Bethany Lockhart Johnson (22:11):

Oh, he does. So math and computers and conversations about counting, you know, it felt like it was kind of just normal. Like it was around me. And I went to Montessori, which is a private school that—oh, they have some public Montessori—but it’s very self-directed. And so we would have these kind of charts, these goals for the day that you explored. And so we would explore math in very, I don’t know, very organic ways, with these natural materials. And I feel like I excelled at math, but it wasn’t something that I was conscious of. It was just like, “Oh, well, yeah. Math, it’s, you know, something we do.” And then when I went to—when I left Montessori in fourth grade, I remember that year being a lot of like repetition. I was like, well, we did this. We covered this. And except for the mission project that we hadn’t done, that was all new. And that’s it. For another time I’ll share about that. But <laugh> then, they actually, I was moved with a group of students to the fifth grade math class, ’cause we had already done the work that we were doing. And so, it wasn’t that it felt like it came easily, but it did make sense. What we were doing made sense. And then it all kind of changed. There was a lot of change in my family. There was, like, missed school time. And we moved and I went to a new middle school and I was in this environment with students who—it was like an accelerated program. And so I was in this environment with students who were pretty competitive with each other. And I remember going—and I was not from of a competitive environment; like Montessori is not competitive. It’s not about that.

Dan Meyer (24:02):

Right. Right.

Bethany Lockhart Johnson (24:02):

It’s—it was very strange to me that I would be competing against anyone, even competing against myself. And I, you know, knew how to set goals. But it was a different level of energy. And I felt like, because I wasn’t competitive in that nature, I felt like that kind—I felt on the outside of a lot of the energy. Besides the regular, like, middle-school feeling outside of things. And I remember the first friend that I made. Hi, Susan! She had said to me, this was like maybe our second week of school, she’s like, “Oh, at lunchtime, come with me to math club.” And I was like, “OK.” And I remember walking into that room and I had no idea what was going on. And so that was one of the first times where I was just like, “Whoa, I have absolutely no concept of what they’re talking about or what.” These are my peers. I felt very—it was very—it was strange. It was strange. I was like, “This doesn’t feel like a space for me at all.” When I think ordinarily I was kind of excited about the idea of going to math club at lunch, you know? And over middle school, I kind of just got progressively more and more behind. It started with missing some work and then missing more and then checking out. And, you know, the problem was that I really made it about myself. That, like, it wasn’t something that I was then good at or could do. When really it was that well, pre-algebra, I was having a really hard time in like the rest of my life. And so I wasn’t real present in that class. And so when I got to algebra, it didn’t make a whole lot of sense. And then if I missed Monday, Tuesday, and Wednesday, well, Thursday is gonna be hard, you know? And, it just got progressively harder and harder. So I had this great idea that between eighth grade and ninth grade, I was going to take this accelerated geometry class. ‘Cause that was the ninth grade class, it was geometry. And I would take it. It was like geometry in three weeks or something. So then when I entered high school, I would’ve gotten this like jumpstart. But I wish I had said, “Oh, I’ll take this, and then in ninth grade I’ll take geometry.” So like I’ve already kind of gotten a preview of the material. But instead I went to the 10th grade math, which was like intermediate algebra, trigonometry. I had absolutely no clue what was going on. And I had a very, very difficult time and I wasn’t ready for that class. But it was exacerbated by the fact that this teacher felt very free to let the freshmen in that class know that they shouldn’t be in that class. That this class was for 10th graders.

Dan Meyer (26:49):

Oh wow. Oh, wow.

Bethany Lockhart Johnson (26:51):

And we had a rather contentious relationship. And I will never forget that we were in the hallway, and he says to me, “You don’t belong here.” And I’ve talked to—I’ve talked to a girlfriend of mine about her experiences with this teacher and she has the fondest memories.

Dan Meyer (27:13):

Wow.

Bethany Lockhart Johnson (27:14):

She—in fact, almost everyone I’ve spoken with, you know, if we are talking about past teachers or, “Oh, what was that class like?” I mean, they just have these wonderful memories! And for me, my sense of like belonging was already so on a tight rope anyway, that to have this adult, this teacher, tell me, “You do not belong here,” just crushed me. And in hindsight, I think he was saying like, “This class is too hard for you.” I mean, maybe. <Laugh> But all I heard was “You don’t belong here.” And I extrapolated it to connect to math and to anything having to do with math in general. And it just got worse and worse through high school in the world of math. My next math class was even—I had to repeat that class, and still didn’t understand what was going on, and felt more out of place, and, you know, it’s one of those things that I just kind of had started to accept that, I guess, math isn’t for me. I guess I’m just not a math person. Or whatever these stories are that I started to create and build and find evidence for around me that was informing that this wasn’t for me. And I had always done well in school. I was in, you know, accelerated classes. I felt like I was capable of problem solving. And yet in math, I just felt like I had all of this evidence saying that I didn’t belong there. And so when I went to college, I took whatever two math classes were—you know, I was in performing arts and then I did ethnic studies as well. And I remember you had to take two math classes that were GEs. There were these classes that if you don’t wanna deal with math, you go take those classes. And I was like, “Oh yeah, I’ll take that. I’ll take that.” The gulf widened, you know? <Laugh> And I didn’t feel like anxiety when I had to do things like balance my checkbook or navigate math in everyday spaces. It was just, it would never occur to me that I would like seek out opportunities to engage with math or think about it or talk about it.

Dan Meyer (29:35):

That is—yeah, that’s just so wild, how, I don’t know, like it’s often, from the student’s perspective, it is them in a vacuum with math, and the two of them interact and decide if, you know, if they’re right for each other. But from the grown-up perspective, it’s just, you know, it’s a little bit clearer that your story with math was not just you in math, but you with, you know, various external things happening. With family, various teachers playing their different roles—sometimes, you know, really tragic and horrible roles—and then like the compounding mathematical debt that it feels like you were kind of building up, as challenges in one year didn’t get resolved and moved into the next year and so on. And all that makes me wonder—it makes me, like really, really scared, first of all, because I would bet that your teacher might not even remember that moment, that for you is part of just a pivotal moment in your math story, and how many kids have I played—have I been a part of their story in that way and wouldn’t even recall? You know what I’m saying? So that’s a scary part. And then also I’m just wondering, like, how can we, how can we help kids who are in those moments recognize that, “Oh, this kid is like absent a bunch,” and give them more resources to be successful rather than say, “Well, you just gotta try harder now.” Those are things I’m wondering, hearing your story. Thank you for sharing that. I’d love to know more about how you then became a teacher and what all that did for you as you helped students.

Bethany Lockhart Johnson (31:06):

Well, but to answer what you were saying, it wasn’t that I wasn’t—I was always absent physically, but at least like mentally at that point, because it had become so difficult. It didn’t make sense to me. So I was just really checked out in math class, you know? So in hindsight, you know, as a teacher, for sure I can look back, and especially hearing these stories and these experiences my friend had with this teacher and just like chalks up as one of like her most favorite teachers ever! And you know, he clearly did a great job for so many students. But for me, and I think for some people, they would’ve taken those challenges and, you know, it would have fortified them in a different way or something. But for me, I took it upon myself to mean certain things about myself and about my ability and what I was capable of. And so I think, I think in some ways, you know, yeah, it’s all, it’s all interconnected. You know, when your students walk in the door, they’re not this—the things that are impacting them in their life are coming into the room with them. And I don’t think we can take that for granted and think, “Well, if they just focus hard enough…”

Dan Meyer (32:21):

Yeah.

Bethany Lockhart Johnson (32:23):

So let’s go back to my love of Oprah. You know, Oprah talks about living your best life. And something I really appreciate about Oprah is that she encourages you to examine, like, sticking points, right? Like she doesn’t just say, “Well, this…just pretend nothing ever happened, and everything’s fine!” You know, she really talks about making time for reflection. And I kind of got mad that anytime I thought about math, or math schooling came up. Or, you know, whatever, any time that came up that I just felt UGH about it. And I felt like a failure. And I’m like, “You know what, what if I took a math class? And I’m an adult at this point. I’ve graduated. I have—I’ve left college. I have my degrees. But I said, “What if I took a math class?” So I went down to, the city college and I found out that you have to take this exam, like a placement exam. And I went and took the placement exam. And I remember it’s one of the responsive tests where if you get it right, the next question’s a little harder. And so I’m taking it, panicking, because it’s getting more like…I just, you know. And I remember it placed me in like, whatever, Algebra Something, this class that was far more advanced than I thought I should be in. And I was like, there’s been a mistake! You know, and I went to the counselor and said, you know, “I got these results, but I couldn’t answer a lot of the questions on the test.” She’s like, “No, no, no, that’s how it works.” So I go take this class and the class was hard. And I decided that I was just gonna keep showing up. And every day before class, I kid you not, they had a little math…it was like a math center where you could go in and they had a bunch of tables and you’d sit at the table and you could sit and do your work or whatever. If you had a question, you walked up and put your name on a clipboard and then somebody would come and help you. So I did that, every single—like before every single class I would go in. I’d sit there. I’d do the work. I’d go. And I’d get help. Like somebody would walk over and you know, some kid for whom they’re like this…you know, they’re math—it might be you, Dan! It could be you! It could have been you! You know, would walk over and be like—

Dan Meyer (34:38):

Yeah, I was in Help like that. Naw, it’s awesome. Love, love those people. Yeah.

Bethany Lockhart Johnson (34:42):

And you know, I did it. And I did so well in the class. I did exceedingly well in the class. And I said—

Dan Meyer (34:50):

Take that! Take that, everything! Every other math experience!

Bethany Lockhart Johnson (34:53):

I said, what?

Dan Meyer (34:55):

Yeah!

Bethany Lockhart Johnson (34:55):

Wait a second.

Dan Meyer (34:56):

Yeah.

Bethany Lockhart Johnson (34:57):

And it was that I was present. I was not afraid to look at what didn’t make sense. And if something didn’t make sense, it didn’t mean there was something wrong with me. Whaaaaat?

Dan Meyer (35:10):

Yeah. Yeah.

Bethany Lockhart Johnson (35:10):

So I was just in such a different space. And then I took another math class and that class was even harder. And I did the same thing where I went to the little lab and, you know, and it just buoyed me. And it made me realize that, like, this story, that my experience with it was very powerful and that was a real lived experience, but that it didn’t have to define my relationship with math. But then! I decided I wanted to go back to school to become a classroom teacher. And I totally—this was a couple years after that math class experience. So now, you know, I’m healing my relationship with math through basic positive experiences, da, da, da, you know, doing other work. But fast-forward, for a whole number of reasons, decided to become a classroom teacher. And I freaked out. All of my—like, I’m studying for the GRE and the CSET and all the things you have to the hoops you have to jump through to apply to the masters program and the credential program. And I freaked out. I was so close to quitting, Dan. Because I was convinced that the reason I couldn’t be a classroom teacher is because I wasn’t capable in math. Like I was—it was all that resurfaced. And even though I now had evidence to say something different, to the contrary, it was still so visceral. And I was so scared. But I passed that Math CSET.

Dan Meyer (36:47):

Get it.

Bethany Lockhart Johnson (36:47):

I did well enough on the GRE—

Bethany Lockhart Johnson (36:50):

Yes!

Bethany Lockhart Johnson (36:50):

You know, I finished my credential. I worked really, really hard. I had to work so hard in my student placement, when I was student teaching for a fifth-grade class, ’cause I felt like, “Oh my God!” I mean, now I could do the mathematics, but I couldn’t TEACH it to someone, you know? But I had amazing professors at UCI, and my math professors really like just—and my mentor teacher! shout out to Jennifer! shout out to Phil!—these amazing mentor teachers who just loved teaching and who loved—like you said, you have these teachers in your life who you got to see the way that they listened to students. They taught me about that love of listening to students. And then I fell in love with, you know, CGI, cognitively guided instruction, and started learning all about all of these educators who just wanna learn from students’ thinking. And it was just so powerful. And I realize as a kindergarten teacher that I have this really special role in helping to create space for a positive school experience. Like we get to talk about—I talk about my students as mathematicians; they’re writers; they’re thinkers; they’re problem-solvers. And I also want to make space for parents. Some of them, this is their first kid in kindergarten, and they brought all of their experiences, a lot of it negative, that they had had with mathematics. So I felt like it was such an exciting opportunity to help show parents how they could have conversations about math with their students. That also, I hope helped heal their own anxiety with mathematics.

Dan Meyer (38:41):

Right, right.

Bethany Lockhart Johnson (38:42):

Like, I’ve not even scratched the surface of math learning. But I just have such a changed perspective and relationship with math. And I just fell in love with the sense-making. And I fell in love with the journey of it. I still experience math anxiety about a wide variety of things, but I do love it. And I feel like there’s a space for me in relationship with math. And that really excites me.

Dan Meyer (39:09):

Yeah. Wow. Listen to that folks. We, we don’t deserve her! Bethany Lockhart Johnson! She got some math game and could have gone off there and, you know, become an accountant or something. And she chose to hang with kids and their parents. That’s so wild that you’re like rehabbing parents and their self-conception about mathematics at the same time. I think that is so cool.

Bethany Lockhart Johnson (39:32):

Well, thanks Dan Meyer. I gotta tell you, I don’t know when or if I’ve ever shared that much of my math story. So there is a certain amount of vulnerability there. But thanks for listening. And I’m glad that, you know—I think there’s space for us to talk about these things that we care deeply about, but that can be really complicated.

Dan Meyer (39:56):

Yes. Yes. And I love how you you’ve really sharpened the point on what I feel like I know in my brain, but not my body all the time: That individual teachers are huge. Like, individual teachers, and individual moments of teaching, are just not something to play with. You know, like that kid that’s in fifth grade having a tough time, like there could be a month or a day-long period where all of a sudden, like, you’re just like, “Oh yeah, I’m back in the mix; like, me and math are still buddies.” And there’s also like moments that you had, where like one casual word from a teacher can just really put a huge wedge between you and a discipline that needs and wants you and your intellect in it.That’s a really powerful testimonial. Not just for math, but for teaching, your teaching bio.

Bethany Lockhart Johnson (40:43):

I agree with you. And I also, I also…you know, I think we can’t put this—we are human. Teachers are human. And so I’m sure there’s things I’ve said to students. Twenty-second story: a student stapled his finger in my class. <Laugh> And I remember holding his hand and saying, “Why did you do that?” And I wasn’t yelling at him, but it was like, I am sure the panic in my face…like, that’s what he’s gonna remember about kindergarten. Right? <Laugh>.

Dan Meyer (41:19):

Yeah.

Bethany Lockhart Johnson (41:20):

That. He will remember that. He won’t remember the really cool city project we did. He’s gonna remember his teacher holding his hand, in his face: “Why did you do that?”

Dan Meyer (41:30):

Yeah. Yeah.

Bethany Lockhart Johnson (41:30):

You know, so we’re human. And yes, it was awful that that teacher said that to me. There were a thousand other ways that he could have said whatever it was he was thinking. And that did deeply wound me. But despite his influence—because teachers do have a lot of power and I think they need to examine that power, ongoing—it still doesn’t have to define us. So I don’t wanna put this pressure, like—

Bethany Lockhart Johnson (41:55):

Sure.

Bethany Lockhart Johnson (41:56):

“So never ever say anything negative!” You know, we’re human.

Dan Meyer (42:00):

I feel like that kid is currently on some office-supply podcast talking about “your office-supply bio” and saying, “Let me tell you how I first got really freaked out by staples. Here’s the deal: I only use paper clips. And here’s why.”

Bethany Lockhart Johnson (42:15):

“Here’s why.” But then—callback!—he’s going to stumble upon THIS podcast and think, “And because I’m so adept with paper clips, I can beat that record!”

Dan Meyer (42:30):

Though—aaay! whoa! Settle down!

Bethany Lockhart Johnson (42:31):

BOOM.

Dan Meyer (42:31):

Don’t get any ideas, kid. No way. Uh-uh. I don’t like that at all. That’s not what—that’s not what I want to have happen here. No, thank you.

Bethany Lockhart Johnson (42:41):

Well, I’m spent, Dan. I need a nap.

Dan Meyer (42:45):

Yeah. I need a box of Kleenex. I need a nap. I need a—yeah, for sure, a baba. Uh-huh. Definitely. Hey, so look, I’m not expecting you folks out there in the lounge to kind of give us the same depth or breadth. You know, we are here, of course, for your entertainment. Feast on our stories and dramas. But I would love to know at some point, like, what are a few, a few moments that really came to define you mathematically? Came to influence you as a teacher? I think we would do really well for each other to understand that about all of our processes. So yeah, I would just toss in a plug in for Twitter, @MTLShow, or Facebook, Math Teacher Lounge; it would be fantastic to hear from you.

Bethany Lockhart Johnson (43:24):

Thanks so much for listening.

Dan Meyer (43:25):

Thanks, folks. Bye now.

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What Dan Meyer says about math teaching

“Teaching, more than other professions, is a generational profession. The kinds of joyful experiences we offer, or don’t offer, now affect the experiences students that haven’t even been born yet will have years later.”

– Dan Meyer

Meet the guests

Dan Meyer

Dan Meyer taught high school math to students who didn’t like high school math. He has advocated for better math instruction on CNN, Good Morning America, Everyday With Rachel Ray, and TED.com. He earned his doctorate from Stanford University in math education and is currently the Dean of Research at Desmos, where he explores the future of math, technology, and learning. Dan has worked with teachers internationally and in all 50 United States and was named one of Tech & Learning’s 30 Leaders of the Future.

Bethany Lockhart Johnson

Bethany Lockhart Johnson is an elementary school educator and author. Prior to serving as a multiple-subject teacher, she taught theater and dance and now loves incorporating movement and creative play into her classroom. Bethany is committed to helping students find joy in discovering their identities as mathematicians. In addition to her role as a full-time classroom teacher, Bethany is a Student Achievement Partners California Core Advocate and is active in national and local mathematics organizations. Bethany is a member of the Illustrative Mathematics Elementary Curriculum Steering Committee and serves as a consultant, creating materials to support families during distance learning.

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About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Math Teacher Lounge

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode, co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with expert guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

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Join our community to connect with thousands of other math educators—and be the first to hear when new episodes drop!

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Current episode

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S5-05. Math technology & hacks for math anxiety: research-based tips for caregivers

We’ve been very lucky to have so many prolific and brilliant researchers on this season of Math Teacher Lounge, and our next guest is no exception.

Listen as we sit down with Dr. Marjorie Schaeffer to discuss what causes math anxiety, math hacks, and how the right math technology can make an incredible impact in children and caregivers coping with math anxiety.

Listen today and don’t forget to grab your MTL study guide to track your learning and make the most of this episode!

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Available episodes

Listen to our available episodes below!

Season 5

Listen to Season 5!

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Season 5, Episode 04.

Coaching tips for managing math anxiety in teachers

So far this season, we’ve investigated math anxiety in students and its causes with passionate researchers and curriculum experts, including one from Sesame Workshop! In this episode, we hear from Dr. Heidi Sabnani, consultant, coach, and co-host of Math 4 All, as she gives us research-based tips for teachers who are facing math anxiety themselves! Listen as we discuss Heidi’s own math anxiety and journey through math, the effects teacher math anxiety can have on instruction, and practices educators can implement right away for overcoming math anxiety.

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Season 5, Episode 03.

Cultivating a joy of learning with Sesame Workshop

In this episode, listen as we chat with Dr. Rosemarie Truglio, senior vice president of curriculum and content for Sesame Workshop! Continuing our theme of math anxiety this season, we sat down with Dr. Truglio to chat about Sesame Street and her thoughts on how to spread a growth mindset to young children and put them on course to academic achievement and long-term success.

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Season 5, Episode 02.

Uncovering the causes of math anxiety

We’re continuing our season theme of math anxiety, going beyond the basics, diving deeper into what causes it, and how we can help students move forward. In this episode, we talk to Dr. Erin Maloney from the University of Ottawa to better understand what’s actually happening in the brain when a person experiences math anxiety, and how we can take steps to shift student mindsets in a positive direction.

Investigating math anxiety in the classroom

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Season 5, Episode 01.

Investigating math anxiety in the classroom

This season, we’ll be talking all about math anxiety: what it is, what causes it, and what we can do to prevent or ease this anxiety in the math classroom. To launch this very important theme, in this episode, we sit down with Dr. Gerardo Ramirez, associate professor of educational psychology at Ball State University.
As someone who’s been studying math anxiety for more than a decade, he had some interesting research and advice to share on why math anxiety affects so many students (and adults), and tips for how to start reducing it.

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Winter Wrap-Up episodes

Listen to the Winter Wrap-Up!

Ideas to build math fluency

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Winter Wrap-Up, Episode 03.

Ideas to build math fluency

In this episode, we sit down with Dr. Valerie Henry to talk about math fluency and what that means for students. Listen as we dig into the research, hear Val’s three-part definition of fluency, and explore her five principles for developing it.

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Mathematizing Children’s Literature

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Winter Wrap-Up, Episode 02.

Mathematizing Children’s Literature

While we’re hard at work producing the exciting fifth season of Math Teacher Lounge: The Podcast, we’re continuing to share some of our favorite conversations from our first four seasons. This time around, we’re revisiting our popular episode that connected literacy and math!
In this episode, we sit down with Allison Hintz and Antony Smith, authors of Mathematizing Children’s Literature, to talk about what would happen if we were to approach children’s literature, and life, through a math lens–and how we can apply those same techniques to classroom teaching!

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Problem solving and facilitating classroom discussions

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Winter Wrap-Up, Episode 01.

Problem solving and facilitating classroom discussions

In this episode, In this episode, hosts Bethany Lockhart Johnson and Dan Meyer are looking back at the amazing speakers and conversations from past episodes and sharing some of their favorites!
First up: A season 2 double feature of The Power of Problem-Solving with Fawn Nguyen and Facilitating Classroom Discussions with authors Christy Hermann Thompson and Kassia Omohundro Wedekind.
Fawn is a specialist on Amplify’s advanced math team, and is a former math teacher and math coach—so she knows her stuff! You’ll hear about her five criteria for good problem-solving problems, and the power and importance of exposing all students to problem solving.
Then, we’ll move into Bethany and Dan’s conversation with Christy and Kassia to learn how hands-down conversations allow students to become better listeners and the steps you can take to implement hands-down conversations in your classroom.

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Season 4

Listen to Season 4!

Cultivating mathematical joy

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Season 4, Episode 05.

Cultivating mathematical joy

In this episode, Bethany and Dan explore mathematical joy while visiting a math teacher conference in Southern California. During this program, Dan describes his attempts to cultivate mathematical joy in his own school-aged kids.

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Dear Math

Season 4, Episode 04.

Dear Math

In this episode, Bethany and Dan chat with Sarah Strong and Gigi Butterfield, authors of Dear Math: Why Kids Hate Math and What Teachers Can Do About It. Listen in as they chat about their experiences with finding joy in math, and how their passion helped them tell the stories of other students’ journeys to find (or not find!) joy in math.

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LIVE from NCTM with Bethany and Dan

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Season 4, Episode 03.

LIVE from NCTM with Bethany and Dan

In this episode, co-hosts Bethany Lockhart Johnson and Dan Meyer are LIVE with more than one hundred Math Teacher Lounge listeners at the recent National Council of Teachers of Mathematics conference. Listen in as they answer the pressing question: Who is the best teacher in film or television?

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Bethany and Dan share their math biographies

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Season 4, Episode 02.

Bethany and Dan share their math biographies

In this episode, co-hosts Bethany Lockhart Johnson and Dan Meyer get personal and share their “math bios”—their early experiences with math and how those experiences turned them into the educators they are today.

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Joyful math teaching with Kanchan Kant

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Season 4, Episode 01.

Joyful math teaching with Kanchan Kant

In this episode, Kanchan Kant joins Bethany Lockhart Johnson and Dan Meyer to discuss the key, early investment she makes at the start of the school year to ensure her math teaching will be joyful for herself and for her students for the rest of the year.

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Season 3

Listen to Season 3!

Dan and Bethany Take on Twitter!

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Season 6, Episode 06.

Dan and Bethany Take on Twitter!

In this episode, Bethany and Dan take a look at several tweets that caught the most fire on Twitter during the 2021-2022 school year. The pair answer questions about viral teaching methods, the best teaching advice you can give in three words, and if students should use pencils or pens in class. Join them as they take on those questions and several others in a fast-paced episode.

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Developing an asset orientation with Lani Horn

Season 3, Episode 05.

Developing an asset orientation with Lani Horn

In this episode, math education professor Lani Horn shares with us what it means to have an asset orientation towards students, contrasting it with a deficit orientation, and helping Bethany and Dan understand the many ways students experience one or the other. Their conversation hit both high notes and low notes and included a challenge that Bethany and Dan both found extremely valuable for helping a teacher develop an asset orientation towards their students.

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Ideas to build math fluency with Valerie Henry, Graham Fletcher, and Tracy Zager

Season 3, Episode 04.

Ideas to build math fluency with Valerie Henry, Graham Fletcher, and Tracy Zager

In this episode, Bethany and Dan are joined by three guests to better understand fluency and how to make its approach fun. Dr. Val Henry shares her three-part definition of fluency and her five principles for developing it. Additionally, Tracy Zager and Graham Fletcher join Bethany and Dan to better understand fluency through a lens of equity and using multimedia as a tool.

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Math professional learning experiences with Elham Kazemi

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Season 4, Episode 03.

Math professional learning experiences with Elham Kazemi

In this episode, Bethany Lockhart Johnson and Dan Meyer chat with Elham Kazemi to explore how to look at teaching as a collaborative experiment. Moving more toward analyzing student thinking and how that contributes to teaching itself, leaves more space for one’s own understanding of math to grow throughout your career. When one revises their teaching based on the data we’re collecting from students and peers, this allows us to be both teachers and learners forever.

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Mathematizing Children’s Literature with Allison Hintz and Antony Smith

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Season 3, Episode 02.

Mathematizing Children’s Literature with Allison Hintz and Antony Smith

In this episodeMathematizing Children’s Literature authors Allison Hintz and Antony Smith join Bethany Lockhart Johnson and Dan Meyer to discuss what would happen if we were to approach children’s literature, and life, through a math lens – and how we can apply those techniques to classroom teaching.

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Making math viral with Howie Hua

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Season 4, Episode 01.

Making math viral with Howie Hua

In this episode, Howie Hua (you may know him from his viral TikTok videos) joins Bethany Lockhart Johnson and Dan Meyer to discuss making math accessible for students through multiple social media platforms, creating an engaging space for students to share their ideas.

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Season 2

Watch Season 2!

Math potluck favorites

Bethany Lockhart Johnson and Dan Meyer are hosting a Math Teacher Lounge potluck. Instead of bringing a casserole (or a store-bought item passed off as homemade), Bethany and Dan are bringing you a cornucopia of math topics. Be sure to join our Facebook group (facebook.com/groups/mathteacherlounge) as we will be announcing some exciting changes in the new year!

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The power of problem solving with Fawn Nguyen

Rio School District Teacher on Special Assignment and Amplify Math advisor Fawn Nguyen joins Bethany and Dan to discuss the power of problem solving. Hear from Fawn about:

  • Her five criteria for good problem solving problems.
  • How problem solving should involve all students.
  • The power of exposing all students to problem solving.
  • And much more!

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Hands Down, Speak Out | Facilitating classroom discussions

Authors Christy Hermann Thompson and Kassia Omohundro Wedekind chat with Bethany and Dan about facilitating student conversations in the math and literacy classrooms. Watch the video to learn how hands down conversations allow students to become better listeners and learn about steps you can take to implement hands down conversations in your classroom.

Be sure to head over to our Facebook group to participate in our book club study with Christy and Kassia.

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An asset-based return to school | Math teaching ideas

A lot of great learning occurred over the last school year. Watch Bethany and Dan’s conversation with math educators (Zak Champagne, Natali I. Gaxiola, Howie Hua, Janaki Nagarajan, Brian Shay, and Dolores Torres) to hear what learning, practices, and ideas they want to bring with them to the 2021-2022 school year.

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Season 1

Watch Season 1!

Episode 6, Segment 1: Math in public with Molly Daley and Chris Nho

Where is the most unusual place you have seen math in the last year? In this segment of Math Teacher Lounge, Public Math’s Molly Daley (@mdaley15) and Chris Nho (@nhoskee) join Bethany Lockhart and Dan Meyer to discuss all the unique places one can find math, including a laundromat, to elicit and invite math conversations.

Learn more about Public Math by visiting public-math.org.

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Episode 6, Segment 2: Math in public with Molly Daley and Chris Nho

Molly Daley and Chris Nho are back in the lounge to answer this question. In this segment they join Bethany and Dan for a mathematizing public places game. Watch the video to join in the game and see how you can spot and make sense of math in public spaces.

Learn more about Public Math by visiting public-math.org.

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Episode 6, Segment 3: Math in public with Omo Moses

MathTalk’s CEO Omo Moses enters the Math Teacher Lounge to chat with Bethany Lockhart Johnson and Dan Meyer. Watch their conversation to learn about how communities can create positive math experiences for all.

Episode 5: Slow reveal in an 8th grade classroom

In the latest segment of the Math Teacher Lounge series, Dan Meyer (@ddmeyer) substitute teaches an 8th grade class. Students interact with a few activities authored by Dan using the slow reveal described first in the Power of Data Science segment.

Curious how Dan found his way to this class? Our Math Teacher Lounge Facebook group made it happen! Join the group today and catch up on previous segments and stay in-the-know with all things MTL.

Watch now

Episode 4, Segment 1: Wrong and brilliant

Is there a different and better way to teach rightness and wrongness in math class? In this segment, Bethany and Dan use a Desmos activity to discuss how wrong and brilliant answers can reveal student understanding and inform your instruction.

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Episode 4, Segment 2: Wrong and brilliant with Mandy Jansen

University of Delaware professor and author Mandy Jansen (@mandymathed) joins Bethany Lockhart Johnson and Dan Meyer to continue the discussion around wrong and brilliant and the idea of rough draft math.

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Episode 4, Segment 3: Wrong and brilliant with Megan Franke

The conversation around wrong and brilliant in the classroom concludes with UCLA Professor Megan Franke (@meganlfranke). Professor Franke discusses with Bethany (@lockhartedu) and Dan (@ddmeyer) the amazing things students are doing in math (in a pandemic!) and more.

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Episode 3: The power of data science with Jenna Laib

Curious how data science can reveal profound noticings in your math class? Special guest Jenna Laib joins Bethany Lockhart Johnson and Dan Meyer to discuss this and the power of data science in the classroom.

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Episode 2: Effective and ineffective technology in the math classroom

Bethany Lockhart Johnson and Dan Meyer discuss technology in the math classroom with the following special guests: Idil Abdulkadir, Robert Berry, Lauren Carr, Steve Leinwand, Francis Su, and Theresa Wills.

Watch now

Episode 1: Welcome to MTL, let’s talk distance learning!

In this episode, Bethany and Dan talk distance learning. You’ll learn a little about what’s in store for series subscribers, listen to your hosts figure out the topic du jour by playing a game, and hear from Idil Abdulkadir as the group discusses real vs. fake Zoom norms.

Watch now

About your hosts

Learn more about your hosts!

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Bethany Lockhart Johnson

Bethany Lockhart Johnson is an elementary school educator and author. Prior to serving as a multiple-subject teacher, she taught theater and dance, and now loves incorporating movement and creative play into her classroom. Bethany is committed to helping students find joy in discovering their identities as mathematicians. In addition to her role as a full-time classroom teacher, Bethany is a Student Achievement Partners California Core Advocate and is active in national and local mathematics organizations. Bethany is a member of the Illustrative Mathematics Elementary Curriculum Steering Committee and serves as a consultant, creating materials to support families during distance learning.

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Dan Meyer

Dan Meyer taught high school math to students who didn’t like high school math. He has advocated for better math instruction on CNN, Good Morning America, Everyday With Rachel Ray, and TED.com. He earned his doctorate from Stanford University in math education and is currently the Dean of Research at Desmos, where he explores the future of math, technology, and learning. Dan has worked with teachers internationally and in all 50 United States and was named one of Tech & Learning’s 30 Leaders of the Future.

Follow us on social media!

Check out our social media!

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Facebook groups

Join in the Math Teacher Lounge conversation by joining our Facebook group or by checking out our Facebook community group!

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Instagram

Join in the Math Teacher Lounge conversation by following us on Instagram @Amplify.education.

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Twitter

Join in the Math Teacher Lounge conversation by following us @MTLShow.

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Desmos Classroom

Desmos Classroom is a teaching and learning platform offering a collection of free digital lessons and lesson building tools. Learn more about Desmos Classroom on Twitter and on Facebook.

Winter Wrap-Up 01: Problem-solving and facilitating classroom discussions

Promotional graphic for Math Teacher Lounge podcast, episode 1, featuring Fawn Nguyen, Christy Thompson, and Kassia Omohundro Wedekind discussing classroom problem-solving and discussions.

As we prep for an exciting new season of Math Teacher Lounge: The Podcast, hosts Bethany Lockhart Johnson and Dan Meyer are looking back at the amazing speakers and conversations from past episodes and sharing some of their favorites!

First up: A season 2 double feature of the power of problem-solving with Fawn Nguyen and Facilitating Classroom Discussions with authors Christy Hermann Thompson and Kassia Omohundro Wedekind.

Fawn is a specialist on Amplify’s advanced math team and a former math teacher and math coach—so she knows her stuff! You’ll hear about her five criteria for good problem-solving problems, and the power and importance of exposing all students to problem-solving.

Then, we’ll move into Bethany and Dan’s conversation with Christy and Kassia to learn how hands-down conversations allow students to become better listeners and the steps you can take to implement hands-down conversations in your classroom.

Explore more from Math Teacher Lounge by visiting our main page.

Download Transcript

Dan Meyer: (00:01)

Hey folks. Welcome back to Math Teacher Lounge. My name is Dan Meyer.

Bethany Lockhart Johnson: (00:03)

And I’m Bethany Lockhart Johnson. Hello! Happy New Year! Hello, Dan Meyer.

Dan Meyer: (00:09)

HNY, Bethany. HNY to you and to all of the listeners out there in Math Teacher Lounge. HNY is the abbreviation that I use sometimes.

Bethany Lockhart Johnson: (00:18)

Oh, is that what that is? Is that—I wasn’t sure what that was. If on my birthday you send me HBD…no.

Dan Meyer: (00:25)

Yeah.

Bethany Lockhart Johnson: (00:25)

No. Unacceptable.

Dan Meyer: (00:27)

I will. No, you want the full thing. To demonstrate my care for your birthday, I gotta spell the whole thing out. I’m just trying to stay relevant. You know, I’m just trying to stay relevant and youthful. So I’m using The Abreevs.

Bethany Lockhart Johnson: (00:38)

The Brevvies.

Dan Meyer: (00:40)

To the extent of even abbreviating the word “abbreviation.” . So, any New Year’s resolutions you wanna share with the listeners, Bethany? While you think, I’ll just share mine real quick here. This is the year of the perfect Wordle streak for yours truly, Dan Meyer. I’m going the full 365. Watch. Watch me do it, folks. I’m naming it here. Live on air. recorded on air. Perfect Wordle year. What you got for the listeners, Bethany?

Bethany Lockhart Johnson: (01:10)

Let’s see. It’s raining very hard here in Southern California, and my newest resolution is to embrace nature. My child wants nothing more than to go and splash in all the puddles.

Dan Meyer: (01:22)

Nice.

Bethany Lockhart Johnson: (01:23)

And be amongst the mud. And what I’m gonna keep telling myself—and so far, so far, I’ve been doing pretty good with this—thrive, child. Splash. Squish. We can dry you off. You will not melt. So I want to keep finding opportunities. Like, for instance, my response is, “It’s pouring rain. Let’s stay under covers and let’s read this book together!” And his response is like, banging on the windows, like, “Please let me go outside.” So I myself have some rain boots. I’m going to go forth and splash with my child. So hopefully you’ll see me doing that a bit more.

Dan Meyer: (02:08)

Love that.

Bethany Lockhart Johnson: (02:09)

Ask me what I’m doing. I’m outside, splashing in nature.

Dan Meyer: (02:12)

I don’t wanna put words in your mouth, but I have felt a bit like parenting is a means for rounding out aspects of my own personality that I have felt are—or habits or hobbies that are lacking. Like, I’ve never been real outdoorsy or into camping, but I don’t want that to limit my own kids’ aspirations or interests. So let’s do the thing that’s not super natural for me, for their own sake. Which is kind of what I’m hearing a little bit from you, which—that sounds exciting.

Bethany Lockhart Johnson: (02:35)

Do you wanna go camping together? Like, our families?

Dan Meyer: (02:38)

Uhhh. Let’s take this one off the air. I also love something that’s more relevant to a teachers audience that you said, that I think is super interesting, is how there’s ways that we can make the jobs harder for ourselves, that are optional. And what I hear from you is like, “I’m just not gonna freak out. We’re getting wet. We’re getting soggy. And I’m just not gonna freak out.” And I just think that that’s interesting to think about, the things that we take on, you know, that’s optional. Freaking out is optional, sometimes. And there’s other areas, I think, for parenting or for teaching, where it’s like, “Oh, do I really need to choose this particular battle?” And to reconsider that.

Bethany Lockhart Johnson: (03:19)

And in that spirit, our whole Wordle episode that we talked about? Do you remember you talked about how beautiful Wordle mistakes are, and how you keep learning from mistakes? I mean, you obviously want the final correct answer, but just, you know, when you get on a losing streak, Dan, I hope you’ll continue to pat yourself on the back.

Dan Meyer: (03:38)

Well, I will not be taking on a losing streak, or even lose one day. This is what’s gonna happen here. I’m just speaking that and putting it out in the universe.

Bethany Lockhart Johnson: (03:49)

Speak it!

Dan Meyer: (03:50)

But if it happens, I will be taking a long break from all human interaction. And lamenting, as I do.

Bethany Lockhart Johnson: (03:59)

Camping. Dan’s off in the woods, weeping.

Dan Meyer: (04:01)

That’s right. That’s right. Yeah. Well, we wanna share with you folks—an exciting programming note is that we are currently working very hard on producing a special fifth season of this podcast. You thought the other seasons were special? Let me tell you, this fifth season gives new meaning to the word “special.” And we can’t wait to tell you more about that. But in the meantime, Bethany, you wanna tell ’em what we’re up to in the meantime?

Bethany Lockhart Johnson: (04:26)

Well, Dan and I went back and we were having a conversation about some of our most favorite conversations, or the conversations that people bring up to us. Like, when we were at the CMC conference, or NCTM, folks, when we talk about the podcast, they’re like, “Oh, I loved this one.” “Oh, I love this one.” And that, to me, I don’t know, that is exciting. And so, while we’re putting together this new season over these next few weeks, we’re gonna feature a few of our favorite conversations from our first four seasons. Dan, four seasons!

Dan Meyer: (04:59)

We’ve been at this for four seasons! And I do want to just emphasize something you said, Bethany: that all of our conversations are our favorite conversations. They’re all our special children. What we just felt like you, the listeners, did not quite learn enough from some of these, and so we really needed you to hear them again to make sure you got everything that you should get out of them. So, let’s tell ’em who’s up first. And who’s up first is a conversation we had about problem-solving with Fawn Nguyen, who’s an advanced math team specialist here at Amplify. Been a former math coach, math teacher. Just really done the work, is what I’d say about Fawn.

Bethany Lockhart Johnson: (05:38)

If you have been listening to this podcast, you’re like, “Whoa, whoa. Wait, I have not missed an episode. I didn’t hear Fawn’s interview.” That is because we used to be video only, not podcasts. So this conversation with Fawn was from, what, our second season?

Dan Meyer: (05:55)

Yeah.

Bethany Lockhart Johnson: (05:56)

And we were on video. And another thing about it is it was, this is a conversation that, when folks talk about problem-solving, a lot of the responses we’ve gotten are like, “Wait, I’ve never thought of problem-solving this way.” In fact, you’ll hear us say that exact thing . So we really appreciated the time with Fawn. And yeah.

Dan Meyer: (06:17)

Enjoy it, folks. Especially enjoy Fawn’s—I think a four-part?—definition of problem-solving, a word that’s often kind of mushily defined. And Fawn really goes into, I think, precision and depth on it. So hope you folks enjoy it.

Dan Meyer: (06:35)

Give a wave, Fawn, to the camera. Would you? Cool. Fawn has been a teacher for a very long time. She is someone who could have left the classroom at any point and taken any number of jobs in the math-teaching universe. But I’ve always admired that Fawn has taught kids for a very long time, and that has given her, in my view, just a lot of clarity on what is important to her about students. I’ve seen her not get upset or obsessed with certain kinds of small niche issues that a lot of us, like, they get a lot of us down in the classroom, sometimes. And she’s maintained a laser focus on among many other things, problem-solving as a virtue in mathematics classrooms. So, please welcome Fawn to our show. Fawn, thanks so much for being here.

Fawn Nguyen: (07:18)

Hey, thank you so much. Thank you. I am so excited and honored that you guys invited me for this, Bethany and Dan.

Bethany Lockhart Johnson: (07:24)

Thank you for being here.

Fawn Nguyen: (07:26)

I love you, Bethany. Dan, I can tolerate, but I love you.

Dan Meyer: (07:30)

I really worked myself up there on that complimentary opening for you, and that’s how you get me back, here? OK. Problem-solving is fully on the consciousness of math teachers. Every math teacher knows that they need to say, like, “Yeah, oh, problem-solving. Yes. Love it. Do it. I dig it.” But even so, I feel like it’s become kind of a buzzword. Like, it’s not always obvious what that means…or am I doing problem-solving, really? So we’re curious: As someone who is a problem-solving expert, who is asked all over the world to talk about problem-solving: How do I know if I’m doing problem-solving in my classroom?

Fawn Nguyen: (08:12)

This is not my definition of it, but—nor am I an expert, by the way, Dan, thank you! but I try really, really hard and work on it!—my definition—or it’s not my definition, but I like it because it’s short and honest—is “problem-solving is what we do when we don’t know what to do.” And so—

Bethany Lockhart Johnson: (08:32)

Ooh!

Fawn Nguyen: (08:32)

—with that mind-frame, I’m hoping teachers think more about what they task. Because I think it gets mislabeled a lot, as to what is problem-solving. If the kids already know what to do, there’s a solution path. Then it’s not problem-solving.

Dan Meyer: (08:48)

Yeah. So what are examples then? An example of, like, I might call something problem-solving, but it it fails that particular definition that you just proposed there. Very short, very honest definition.

Fawn Nguyen: (08:59)

Just, it needs to have constraint and contradiction to what the kids think naturally. It should come as a surprise. There’s an element of surprise in it. There’s tension.

Dan Meyer: (09:11)

Maybe if there’s harder numbers or, you know, decimals or fractions in the same kind of procedure…I can feel myself thinking, “Yeah, this is hard. This is problem-solving. Problem-solving equals hard. But we already know what to do.”

Fawn Nguyen: (09:27)

Or just word problems. That’s the most common thing. As soon as it just has words attached to the math, it becomes problem-solving. But that’s just coding it to me. That’s just coding it with words, wrapping it around. It doesn’t mean anything until we read through and see if there’s true problem-solving in it.

Bethany Lockhart Johnson: (09:45)

Like, what’s the moment that it becomes problem-solving? In the way that you envision it?

Fawn Nguyen: (09:53)

Well, I think there’s the bigger problem-solving of really bringing a task…I wanna call it left field. It just—we rarely ever, if ever, see it in the regular coursework, but it can also be problem-solving if we just take what we expect the children to do at the end of the unit, how about we front-load that? To me, that’s also problem-solving. And I’m trying to encourage teachers to do that last problem first. The task writers put more thought—not that they don’t do the rest of it!—but you know, this is a special one, because they label it “challenge,” or “enrichment,” or “are you ready for more?” I’ve seen those. And so it is this really special problem. And I would love for us to think about “do that first.” Because my biggest fear is that because it comes at the end, that not all the children are involved. And so that to me is the saddest part. Because we might not get to it, right? In mathematics, we always think, “OK, well, let’s do these problems and then we don’t have time for the rest.” But I think that’s your richest task right there, is at the very end. So why don’t we front-load it, start it, and it’s OK—of course it’s OK!—that we don’t all get it. But the exposure to all students is so important. Talk about, you know, equity. Talk about that, everybody gets the same thing. If everyone dug into that first one with everybody’s collaboration, and we get to share that, and then we leave it, because “Yeah, OK, now we learn more of the other stuff, right? That hopefully support. And then we can go back. And now everybody had a chance to go get into it, and then we can come back to it as, as many problems, we need to go back to it.”

Bethany Lockhart Johnson: (11:37)

And that feels so powerful. Because it feels like—as a teacher, I’m thinking it would also inform my work, how I approach the unit, and how I approach the next steps. Right? Like, what kind of work would we be doing if I let it, if I allow it, to change the way that I approach the unit.

Dan Meyer: (11:58)

Yeah. What you’re describing is so powerful, and really asks a lot of the task designers as well, I think. There are problem-solving tasks that really require, like, abstract knowledge of the way formulas and variables fit together. And what I love about what Amplify is doing with their problem-solving, what you’re helping them do, is that they start with a true low floor that can draw in every student. And they might get stuck at different places; that’s fine. But everyone has a way in. That’s exciting.

Fawn Nguyen: (12:24)

It’s a big deal for me to have this opportunity and this trust, to integrate problem-solving into the curriculum, make it intentional. It’s difficult to implement. It is, to be honest. Because for me, what is a good task? This makes one of my four criteria: One is, it is non-routine. It is simply stated. Simply stated—that’s like your low floor. And then has multiple solutions. And the fourth: This makes it. Because that the teacher enjoys solving it. And so you have to enjoy solving it to bring it. Because so that way I can say to my kids, “This is my gift.” It really is, Because, you know, it has so much fun and joy. And I appreciate the struggle. And I wanna illustrate an example. For example, let’s say Dan and I are classmates. And I know that Dan gets A’s on his tests and the lowest score he ever got was an 89%. I, on the other hand, just sitting right next to him, I average D. I have a D average on everything. While Bethany, our amazing and wonderful teacher, brings in a problem. And when she brings it in, she says, “I worked on this problem. I found this problem; I worked on it; and I struggled with it. And it was amazing. I enjoyed it so much, I’m sharing it with you.” And all of a sudden it’s like, “OK!” And I”m sitting there, right? My teacher loves this problem so much; she’s bringing it in to share with us. And now, all of a sudden, it’s not, you know…and I know she only gives us non-routine. When she talks about problem-solving, it’s non-routine. So it’s not directly tied to the textbook that I’ve been struggling with. So it gives me a chance, it gives me a chance to contribute. To think differently. And now, suddenly I look forward to working with Dan, because in this space, in this problem-solving space, Dan is no longer Mr. Know-It-All. And so that’s what I mean by—I am saying this a hundred times, and I will not stop saying it—problem-solving levels the playing field. Our world is filled with unsolved problems. Are you kidding me? Right? We look around us, we have so many things that are not solvable, or people are working on it, and yet in mathematics, what happens? The bell rings; we start; and we solve everything during that time, and we leave. And that’s…yeah. No! No! We need to wrestle with problems.

Dan Meyer: (15:04)

And that was our conversation with Fawn Nguyen, which we first released way back in November, 2021. You folks can follow Fawn on Twitter at Fawn P Nguyen. Um, that’s @ F A W N P N G U Y E N.

Bethany Lockhart Johnson: (15:18)

So our episode today is a double feature. We are featuring another conversation that we loved from Season Two. This is a conversation with Christy Hermann Thompson and Kassia Omohundro Wedekind. They’re authors of the book, “Hands Down, Speak Out: Listening and Talking Across Literacy and Math.” And I don’t know if you remember, but not only did we have a conversation with them, but we did a whole book study on Facebook, a Facebook Live book study, over the course of several months. And it was one of my most favorite things. And then they did a webinar at the end. So our conversation with them on the podcast for me felt like such a beautiful dive into their book. And you know, I’ve said it before, you think you have something down in the classroom, you’re like, “Oh, hand-raising, I’ve got that down.” You think you have it down, but then somebody says, “OK, but have you ever considered thiiiis?” You know, and it just—

Dan Meyer: (16:17)

NOT that??

Bethany Lockhart Johnson: (16:18)

, Not that? Something totally different? And I loved talking with them. They’re a lot of fun. And I loved the book.

Dan Meyer: (16:23)

Wonderful conversation, great book. Very provocative ideas. Yeah. As someone who’s like, “OK, classroom management, I gotta get the hand-raising going…”. In the classroom before we talked, they offered a really potent challenge to some really standard classroom management ideas. Yeah. Loved it.

Bethany Lockhart Johnson: (16:40)

And this conversation also offers some really practical tips for facilitating student conversations. So we think you’ll enjoy it. Here’s our conversation with Christy and Kassia.

Bethany Lockhart Johnson: (16:53)

So today we are talking about “Hands Down, Speak Out: Listening and Talking Across Literacy and Math, K—5.” And we have the authors here, Kassia Omohundro Wedekind and Christy Hermann Thompson. Before we begin, let’s define what a hands-down conversation is. A hands-down conversation is just another way to structure discourse in your classroom. So in a typical classroom, you might see students raising their hand and waiting on a teacher to call on them before they share their ideas or engage in discussion. But in a hands-down conversation, it’s students’ ideas and voices that are taking the lead, and teachers are stepping back and focusing on listening and facilitating. Hello! Welcome to the Lounge.

Kassia Omohundro Wedekind: (17:44)

Thank you. We’re excited to be here. We’re fans of Season One. So we’re ready to go.

Dan Meyer: (17:50)

I was a secondary teacher but I still found so much to love about the book. I think facilitating conversations is just generally challenging, and perhaps even more so in math, where answers feel so tightly dialed-in, in lots of ways. But I loved it. I would love for you to just explain to our audience, what is a hands-down conversation and how does that contrast with what might be standard practice for some people? For some classes?

Christy Hermann Thompson: (18:13)

We just started using the term hands-down conversation because we wanted to differentiate the fact that there are different times to have different types of dialogue in the math classroom, in the literacy classroom. And we use this as one of our tools. Right? It’s not that every day, all day long, we’re very against hand-raising and should never see that again. We find that having this as one of our tools will be where we make really clear to the students that this is a moment where we’re turning it over to you to negotiate the space and make the decisions about when your voice comes in and who speaks next. You know, carry on kind of like that dinner table or that playground or, you know, whatever is your natural habitat for talk. And bringing that into the classroom and then hoping that it also someday transfers back out of the classroom back into the real world.

Bethany Lockhart Johnson: (19:09)

For the teachers who feel like that’s terrifying to have students just start speaking, and speaking without any sort of control or my little equity sticks, my little popsicle sticks, or my popcorn, or whatever other thing they’re using, what would you say is the first step?

Christy Hermann Thompson: (19:25)

So I think recognizing and naming that fear is part of it. And then saying to yourself, “What’s the worst that could happen here?” You know, I think the worst that could happen is that nobody talks and it’s totally silent. Or on the other hand, everybody talks at the same time. And both of those things will happen! And so what? It’s gonna be messy. And if you just acknowledge that it’s gonna look messy, and that’s part of growing; that every child as they learn—and every adult—is messy as they grow.

Kassia Omohundro Wedekind: (19:59)

And we have to see what kinds of things will happen in a hands-down conversation. Like there’s no prerequisite. You just start and then you see what happens. And those are the signs that tell you, “What can help this community grow as talkers and listeners? If everyone’s talking at the same time, and they’re kind of pushing each other over with their words by saying, “I have something to add!” “I have something to add!” or something like that, that’s a common thing that sometimes happens at the beginning. Then you know that the next step is to do some work about how to hold your thoughts back, how to add, wait for a space in the conversation to talk. And those are all things we need people to know out in the world.

Bethany Lockhart Johnson: (20:41)

So can you give an example of a micro-lesson that…well, first, what do you define as a micro-lesson? And then, what’s an example of one that maybe somebody who wants to dip their toe into the world of hands-down conversations that they could try?

Christy Hermann Thompson: (20:56)

The reason we call them micro-lessons is because we wanted to differentiate from the term mini lesson, which is out there and tends to describe about 10 or 15 minutes that might take place at the beginning of a work period of time. And this is much smaller than that. We usually follow a pretty predictable structure of naming. Here’s this thing that’s so helpful when we’re having conversations, and we love to especially be able to name something that a student had done: “Kaylee did this yesterday and it really helped us.” So what we might call that is, “And then here’s how Kaylee and other people might do that. They might do something like this.” And, you know, having a little anchor chart, so there’s a visual reminder of that skill. “So when we’re having a conversation today, you could try…”. And that’s basically a micro-lesson, just in a nutshell.

Kassia Omohundro Wedekind: (21:51)

When I was doing these hands-down conversations and I had more space for myself to listen as a teacher, I’m like, “Well, look at those kids, like, slumped onto the ground, like, pulling the carpet apart, but they’re having this amazing conversation!” And so I learned that listening is a lot broader. So in this lesson that I’m thinking about, we just talk with kids about what are lots of different ways that listening can look like. Sometimes with younger kids, I’ll take pictures of them listening in different ways and we’ll notice things about them together. And then we invite them to talk with their Turn and Talk partner about like, “How do you like to be listened to?” Or “Tell me about how you listen.” And just kind of broaden that. And really, I like to think that like the micro-lessons are for the kids, but also I’m saying those things to say them for myself. Like, “Remember, you don’t have to insist that kids are staring each other down in the eyes all the time. Like, “It’s OK when they’re doing other things. There’s other ways of listening.” So I think I’ve learned as much from the micro-lessons each time I do them as the kids that I’m trying to help grow as listeners and talkers, as well.

Dan Meyer: (23:00)

You folks have a lot of really eloquent ideals you express, around democratic classrooms and engagement. But you also have just some very tangible, practical…even down to, like, how a teacher positions their body in space and the way they use their eyes to connect. I think it would be really helpful for teachers to hear that it’s not just they’re signing on to a manifesto of sorts, but there’s ways they can act their way into the beliefs that you both expressed here.

Christy Hermann Thompson: (23:26)

When I’m starting hands-down conversation work, if I put myself a little bit outside of the circle and look down, and give myself a clipboard, it, it helps me bite my tongue and it helps me give better wait time and see what the kids are doing before I have that tendency to jump in and teach and do lots of teacher-y things.

Bethany Lockhart Johnson: (23:48)

Kassia and Christy, thank you so much for joining us. We are so excited to have this conversation and to share your work. This is exciting. And I feel like this conversation is just the beginning of a deeper dive into this book.

Kassia Omohundro Wedekind: (24:01)

Thanks for having us.

Christy Hermann Thompson: (24:02)

Thank you.

Dan Meyer: (24:03)

Thank you both.

Bethany Lockhart Johnson: (24:06)

Thanks so much for listening to our conversations with Fawn Nguyen and Christy Hermann Thompson and Kassia Omohundro Wedekind, both of which were released in 2021, part of our second season. And, you know, we hoped you enjoyed listening to it for a first, second, maybe third, fourth time.

Dan Meyer: (24:24)

Let’s be real. There’s some real fans out there.

Bethany Lockhart Johnson: (24:26)

We loved it then. We love it now!

Dan Meyer: (24:28)

Yep, yep, yep. Please keep in touch with the show by following us on Twitter at MTL Show, and join our Facebook group, the Math Teacher Lounge community. We’d love to hear from you there. And please stay tuned for more info on what we’re cooking up here in the Math Teacher Lounge. Thank you folks for listening. Take care, Bethany.

Bethany Lockhart Johnson: (24:47)

Bye now.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Fawn Nguyen says about math teaching

“It’s a big deal for me to have the opportunity and this trust to integrate problem-solving into the curriculum.”

– Fawn Nguyen

Specialist, Math Advance Team, Amplify Desmos Math

Meet the guests

Fawn Nguyen

Fawn began her work with Amplify in 2022 as a Math Advance Team Specialist. She was a math coach for a K-8 school district for three years, and a middle school teacher for 30 years before that. Fawn has also received a number of accolades as an educator.

Christy Thompson

Christy Thompson is a Literacy Coach in Fairfax County Public Schools in Virginia. She has spent her teaching and coaching career particularly focused on listening to and learning from the talk of our youngest students.

Kassia Omohundro Wedekind

Kassia Omohundro Wedekind spent many wonderful years as a classroom teacher and math coach in Fairfax County Public Schools in Virginia and now splits her time between being an independent math coach and an editor at Stenhouse Publishers. Her favorite days are spent in classrooms learning from the many ways children talk, listen and negotiate meaning together.

Three women are pictured separately in circular frames, each smiling and facing the camera, against a white background with overlapping pastel shapes—perfect for highlighting math teacher lounge discussions or sharing essential math teacher resources.
A graphic with the text "Math Teacher Lounge with Bethany Lockhart Johnson and Dan Meyer" on colored overlapping circles.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

Welcome, Seattle Public Schools, to the next chapter in the Science of Reading, with Amplify CKLA 3rd Edition!

Amplify Core Knowledge Language Arts (CKLA) helps implement the Washington State K–12 Learning Standards for English Language Arts (Common Core State Standards) by translating the Science of Reading into manageable, engaging, and effective classroom practices. For more than a decade, Amplify CKLA has transformed classrooms nationwide with its intentional knowledge building and systematic skills instruction.

Scroll down to learn how Amplify CKLA is uniquely designed to help all your students make learning leaps in literacy.

An astronaut floats in space near the Moon, with a speech bubble displaying

Our approach

Improve outcomes with a program that’s built on a decade of research and meets the strongest Every Student Succeeds Act (ESSA) Tier I criteria.

Diagram illustrating the Simple View of Reading model. It shows that skilled reading results from increasingly strategic language comprehension and increasingly automatic word recognition.

Grounded in the Science of Reading

As the original Science of Reading program, Amplify CKLA puts research into action with explicit, systematic foundational skills instruction and a proven knowledge-building sequence. In collaboration with education experts and practitioners, we provide powerful resources that deliver real results.

Background knowledge drives results.

Amplify CKLA follows the Core Knowledge Sequence, a content-specific, cumulative, and coherent approach to knowledge building. This approach improves reading scores and closes achievement gaps by establishing a robust knowledge base that strengthens comprehension.

In Amplify CKLA 3rd Edition, we’ve enriched our Knowledge Sequence with a wider range of perspectives and high-quality texts in new and enhanced units.

An illustrated person in a yellow shirt looks at a colorful map of Puerto Rico. Above them are two educational posters about world geography and animals, integrating elements from the k–5 literacy curriculum to enhance learning experiences.
An infographic showing the steps to pronounce

Build foundational skills for long-term success.

Students progress from simple to complex skill development starting with phonological and phonemic awareness. Instruction in Grades K–2 explicitly teaches the 150 spellings for the 44 sounds of English, following an intentional progression to ensure student success.

In our 3rd Edition, we’ve added dedicated Grade 3 foundational skills instruction that can either support core lessons or function as an intervention, based on student needs.

Daily writing deepens learning.

Grounded in the Science of Writing—the research on how kids learn to write—instruction is explicit, daily, and woven into the curriculum’s rich content. It covers both transcription (handwriting and spelling) and composition (organizing ideas into narratives) with high-impact activities like sentence-level combining and expanding, and pre-writing exercises. Writing and reading instruction are integrated so students simultaneously strengthen their communication skills, comprehension, and confidence.

A child in a green shirt smiles while writing in a notebook at a classroom desk, engaged in their k–5 literacy curriculum, with another student visible in the background.
An open laptop displaying a children's story titled

High-quality, diverse texts

Amplify CKLA students are immersed in a variety of texts—complex read-alouds, decodable chapter books, trade books, and content-rich readers—that reflect varied experiences and connect to learning goals.

Readers are 100% decodable for Grades K–2, empowering students to directly apply what they’ve learned. Novel Study units for Grades 3–5 offer a mix of contemporary and classic literature, and Culminating Research Units in every grade include a set of authentic texts and trade books.

Reach all learners with differentiated support.

Scaffolds and challenges, developed in collaboration with education experts, make content accessible to every student, including multilingual and English learners. With strategies embedded right in the curriculum, teachers can deliver in-the-moment, individualized instruction to meet diverse student needs.

For a dedicated English language development program aligned to Amplify CKLA, explore Language Studio.

Children sit on the floor in a classroom, some raising their hands, smiling and engaged. The lively atmosphere reflects the effectiveness of the k–5 literacy curriculum being implemented.

What’s included with Amplify CKLA

The comprehensive resources in Amplify CKLA 3rd Edition support effective literacy instruction in every classroom.

Download Amplify CKLA Components Guide

Download Amplify CKLA Writing Brochure

Image of a laptop displaying an assessment report, surrounded by books about astronomy, an illustration of the moon, and a
Various educational materials, including textbooks, workbooks, a picture book, documents, and a laptop displaying a slide titled

Easy-to-use teacher materials

Amplify CKLA teachers are empowered to deliver effective instruction with the following print and digital resources:

  • Teacher Guides (K–5)
  • Assessment Guides (K–5)
  • Authentic texts and trade books (K–5)
  • Knowledge Image Cards (K–2)
  • Knowledge Flip Books (K–2, digital)
  • Ready-made and customizable Presentation Screens (K–5, digital)
  • Remediation and intervention resources (K–5)
  • On-demand professional development (K–5, digital)

Immersive Amplify CKLA student resources

Amplify CKLA students stay engaged with the following print and digital resources:

  • Decodable readers (K–2)
  • Student Readers and novels (3–5)
  • Student Activity Books (K–5)
  • Poet’s Journal (3–5)
  • eReaders (K–5, digital)
  • Sound Library featuring articulation videos and songs (K–2, digital)
  • Skill-building practice games (K–5)
An open laptop displaying a poem and a person, alongside two educational booklets and a green butterfly, depicts the essence of a rich core knowledge language arts curriculum. The background includes simple graphic elements enhancing the scene.
A collection of six book covers including

Rich literary experiences

The array of high-quality, varied texts in Amplify CKLA connect to the curriculum, sparking students’ curiosity and empowering them to learn to read with confidence.

  • Trade Book Collections (K–5) inspire student research in each grade’s Culminating Research Unit.
  • Classic and contemporary literature (3–5) delight students in Novel Study Units.
  • Increasingly complex Student Readers (K–5) develop students’ literacy across grades.

Hands-on phonics materials

Multisensory phonics and foundational skills resources engage students with fun, varied approaches that promote mastery and build independence.

  • Chaining Folders and Small Letter Cards (K)
  • Read-Aloud Big Books (K–1)
  • Large Letter Cards (K–2)
  • Sound Cards (K–2)
  • Image Cards (K–3)
  • Blending Picture Cards (K)
  • Consonant and Vowel Code Posters and Spelling Cards (1–2)
  • Sound Library (K–2, digital)
Image includes various vowel sounds and combinations on flashcards and worksheets, along with a playful illustrated mammal, all part of a comprehensive literacy curriculum for elementary students.
A laptop displays a student screen showing a quiz question about word usage, part of a literacy curriculum for elementary students. Behind it, a computer monitor shows an assessment report interface. Abstract decorative elements are in the background.

All-in-one digital platform

Our comprehensive platform simplifies your day-to-day tasks and makes it easier to plan and deliver lessons.

  • Ready-made and customizable Presentation Screens
  • Auto-scored digital assessments
  • Standards-based reporting
  • Assignable skill-building games
  • Sound Library
  • eReaders

Professional development (PD)

Move beyond traditional program training with Amplify’s digital PD Library, designed to fully support your shift to the Science of Reading and Amplify CKLA. Deepen your understanding with:

  • Program and planning resources.
  • Model lesson videos from real classrooms.
  • Guidance on using Amplify’s literacy suite to provide multi-tiered support.
Two women are seated at a table with papers and a laptop. One woman is working on the literacy curriculum for elementary grades, while the other is smiling.
“Teachers love the ease of implementing the program, and students have fun while learning. Growth is evident in our data, and we have the support of Amplify experts who are available to answer questions and provide top-notch professional development.”

Bridget Vaughan, District K–8 Coordinator of ELA and Literacy

Quincy Public Schools, Massachusetts

Language Studio: Multilingual and English language learner support

Language Studio is Amplify CKLA’s dedicated K–5 program for multilingual and English language learners. Through daily 30-minute lessons, it strengthens reading, writing, speaking, and listening skills while reinforcing core instruction. This tailored support empowers students to confidently access grade-level content as they develop academic English.

A young girl immerses herself in the science of reading at a classroom desk, surrounded by peers and diverse educational materials.

Amplify Caminos program overview

¡El futuro es bilingüe! | The future is bilingual!

Amplify Caminos is a research-based core curriculum essential for Spanish literacy and grounded in the Science of Reading.

View our Amplify Caminos Program Guide to learn our approach to foundational skills by year, view skills practice with student readers and writing, and understand how the program supports teachers in meeting the needs of all students with embedded differentiation.

Amplify Caminos offers a robust and authentic elementary Spanish language arts program for grades K–5 that promotes
biliteracy and helps teachers inspire students as they become confident readers, writers, and thinkers in Spanish.

Using the program’s two strands, Caminos Conocimiento and Caminos Lectoescritura, teachers develop student
comprehension in Spanish through a program rich in background knowledge and foundational skills activities. The texts students encounter include authentic Spanish literary works that honor Spanish language development and build deep content knowledge in social studies, science, literature, and the arts.

Amplify Caminos is designed to support a variety of bilingual and dual language instructional models to meet every student’s biliteracy needs. Combined with its English language partner, Amplify Core Knowledge Language Arts (CKLA), Amplify Caminos provides a comprehensive biliteracy solution.

A girl runs joyfully surrounded by a turtle, a soccer ball, an open book, and tropical scenery with a toucan and ancient ruins, with "¡Hola!" written above.
Illustration of the amplify caminos language comprehension model, featuring step-by-step progression from simple word recognition to skilled reading, with educational graphics and text excerpts.

Amplify Caminos delivers rich, authentic experiences.

With a robust digital experience and an expanding library of online materials, Amplify Caminos provides everything needed to support, challenge, and engage your students. From digital Teacher Guides to lesson projectables, the program includes all the tools needed to successfully deliver every lesson.

How Amplify Caminos works with Amplify CKLA

Through direct instruction, both Amplify Caminos and Amplify CKLA develop reading, writing, speaking, and listening skills in their respective languages. Together, the programs empower educators to effectively foster biliteracy with:

  • Intentional knowledge building that connects topics throughout the program.
  • Increased metalinguistic awareness from students exploring the similarities and differences in each language while strengthening their knowledge across both.
  • Instruction with high-quality Spanish and English decodable readers that provide every student with opportunities to apply skills learned and grow competency in reading.
“There were other programs that claimed to be [based on the] Science of Reading, but no other vendor provided the suite of products together. We did not want to be picking from here, picking from there. [Amplify’s literacy suite] met our needs, because it aligned and provided us the best suite of products, hands down.”

Nicole Peterson, Principal, Midway Middle School

Sampson County Schools, North Carolina

Demo access

Explore the Amplify CKLA teacher digital resources.

First, watch the quick navigation video to the right. Then, follow the directions below.

  • Go to: learning.amplify.com or click the Access CKLA Teacher Digital button below.
  • Select Log in with Amplify.
  • Enter the following information:
    • Teacher username: t1.seattle_sd_ckla@demo.tryamplify.net
    • Teacher password: Amplify1-seattle_sd_ckla
    • Student username: s1.seattle_sd_ckla@demo.tryamplify.net
    • Student password: Amplify1-seattle_sd_ckla
  • Please note, these demo accounts expire on: February 26, 2026
  • Click the CKLA button.
  • Select your desired grade level from the Program drop down.

Follow the directions below to access the Student Resource Site:

  • Go to: learning.amplify.com or click the Access CKLA Student Digital button below.
  • Select Log in with Amplify.
  • Enter the following information:
    • Teacher username: t1.seattle_sd_ckla@demo.tryamplify.net
    • Teacher password: Amplify1-seattle_sd_ckla
    • Student username: s1.seattle_sd_ckla@demo.tryamplify.net
    • Student password: Amplify1-seattle_sd_ckla
  • Please note, these demo accounts expire on: February 26, 2026
  • From the main page, click the backpack in the top right corner.
  • Click on the grade level to select your desired grade.

Welcome to Amplify Desmos Math California!

California educators, welcome to math that motivates. Introducing Amplify Desmos Math California, a curiosity-driven TK–12 program that builds lifelong math proficiency. Each lesson poses problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. Students encounter math problems they’re eager to solve, while teachers spend more time where it’s most impactful—creating a collaborative classroom of learners.

Keep reading to learn more about the program and explore sample materials.

About the program

Amplify Desmos Math California is a TK–12 core math program designed to meet the CA Math Framework and the Common Core State Standards for Mathematics. Amplify Desmos Math California thoughtfully combines conceptual understanding, procedural fluency, and application through a structured approach to problem-based learning. Through engaging activities, Amplify Desmos Math California invites curiosity and math discourse into the classroom to create lifelong math proficiency.

Continue reading to learn more about the K–8, Algebra 1, and Math 1 programs and to explore sample materials. (Spanish, TK and high school materials are in development and will be available in the 2026–27 school year. Geometry and Algebra 2 beta pilots will be available in the 2025–26 school year.)

A powerful math suite

Amplify Desmos Math California combines the best of assessment, problem-based core lessons, personalized practice, and intervention into a coherent and engaging experience for both students and teachers.

Laptop displaying a math problem interface with student assessment reports in the background.

Screening and progress monitoring

mCLASS Math benchmark assessments, along with the embedded program assessments, measure not just what students know, but how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core instruction and intervention resources. Unit- and lesson-level core assessments give teachers data at their fingertips to guide and differentiate instruction. In grades 3–8, core assessments and performance tasks are designed to prepare students for success on the Smarter Balanced Assessment Consortium (SBAC) testing.

Core instruction

Amplify Desmos Math California core lessons pair problems students are eager to solve with clear instructional moves for teachers. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals. With built-in differentiation and multilingual/English learner support, Amplify Desmos Math California enables every student to find success in the math classroom.

A digital math activity asks users to choose a block that makes 10 with a given number; a worksheet shows a similar "make 10" math exercise with blank spaces to fill in.
A digital educational screen showing a math problem about converting meters to centimeters. It involves a diving toy sinking 5 meters into a pool. Text prompts users to input the conversion.

Personalized Learning

Boost Personalized Learning activities help students access grade-level math through engaging, independent digital practice. Responsive Feedback adjusts to students’ work, providing item-level adaptivity to further support their learning.

Differentiation and intervention

Amplify Desmos Math views differentiation as an ongoing process where teachers are both reactive and proactive to student needs, ensuring that all students have clear pathways to proficiency. Through rich data and teacher support, Amplify Desmos Math uses flexible categories of intervention and enrichment that adjust daily according to student thinking.

In-the-moment differentiation supports are available for every lesson, both digitally and in the print Teacher Edition.

Two pages of a math worksheet and teacher’s guide about determining coordinates after a rotation, featuring diagrams, tables, and step-by-step problem-solving instructions.

An approach that supports teachers

Clear, step-by-step instructional moves help teachers plan and teach student-centered lessons that use
student thinking to differentiate instruction and guide to grade-level understanding. They include:

  • Guidance on what to listen for and how
    to respond.
  • Clear learning objectives to keep learning on
    track for each activity and lesson.
  • Daily reinforcement activities to provide direct
    instruction when needed.
A woman writes on a whiteboard using math teaching resources while a man sits at a desk, smiling. There are books and papers on the desk.
Network diagram with interconnected nodes labeled: Measure and Compare Objects, Represent Data, Dollars and Cents, Problem Solving with Measure, Skip Counting to 100, Number Strategies, Squares in an Array, Seeing Fraction in Shapes.

Big Ideas

The CA Mathematics Framework encourages a shift from power standards to thinking about math as a series of connected Big Ideas. Each Amplify Desmos Math California lesson supports one or more Big Ideas and the connections between them. The grade-level diagram changes through the course based on the math concepts addressed within.

Please refer to the following Keeping the Big Ideas at the Center documents to review specific lesson designs and alignments with the Big Ideas for each grade level.

Click here to see how the Big Ideas are represented within the K–8 core lessons.

Focus, coherence, and rigor

Amplify Desmos Math California incorporates the Drivers of Investigation (DIs) and Content Connection (CCs) throughout the program. Throughout the year, students engage with open and authentic tasks of varying durations—from lesson activities to unit-level Explore lessons and longer course-level Investigations. Every lesson and investigation opportunity is grounded in the why, how, and what of the learning experience, and helps teachers bring mathematical concepts to life.

An educational slide on addition story problems, detailing goals for solving problems, language goals, and strategies using equal expressions, tens and ones, and number sense.

Please refer to the following Amplify Desmos Math California alignments to the Standards for Mathematical Practice, provided by grade level.

A screen titled "Match the Score" with a 2D target graph showing various scores. Instructions request four ordered pairs to total 400. Four pairs are listed: (4, 2), (7, 4), (7, 6), (10, 6). A "Try again" button is shown.

Built-in authentic tasks

Mathematics is not learning in isolation. Students are connected to each other’s thinking and can use math to understand the world. With accessible invitations to authentic tasks, all students can experience mathematical success. Amplify Desmos Math California provides these authentic invitations in a variety of ways:

Each unit begins with an “Explore” lesson, which allows students to engage with authentic exploration in low-floor, high-ceiling tasks. These tasks are designed to promote an inclusive and differentiated learning environment—allowing all students to access basic mathematical concepts, while offering advanced exploration and problem-solving for those ready for more complex work.

Our innovative course-level investigations are designed to facilitate multi-part exploration. Students grapple with Big Ideas, diving deep into key concepts that encourage comprehensive understanding. Data science is infused into the approach, giving students a solid foundation from which to interpret and apply data-driven solutions. They’re also encouraged to understand and appreciate the interrelatedness of Earth’s environmental systems via our lesson’s focus on the Environmental Principles and Concepts (EP&Cs).

Explicit support for multilingual/English learners

Three overlapping educational worksheets for first grade math, including a cover page, a list of learning goals, and a lesson plan with bilingual English and Spanish text.

Amplify partnered with the English Learner Success Forum (ELSF), a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual/English learners (ML/ELs). ELSF reviewed Amplify Desmos Math California, and provided directional guidance and feedback to ensure that the program reflects their research-based instructional strategies for multilingual/English learners.

Amplify Desmos Math California recognizes the diverse language needs of our students and is designed to be inclusive. Each lesson in the program features a parallel language activity, designed to be available to all students, in the form of teacher guidance and student activities. The activities in the Math Language Development Resources have level ELD differentiation to support all levels of ML/ELs. This approach ensures that all students, regardless of their language skills, can participate fully, grasp the material, and excel in their mathematical journey.

Our Multilingual Glossary includes, in addition to Spanish, nine languages: Simplified Mandarin, Tagalog, Vietnamese, Arabic, European French, Russian, Brazilian-Portuguese, Haitian-Creole, and Urdu.

Amplify Desmos Math California will include Spanish student-facing materials beginning in the 2026–27 school year.

Assessments

By starting with what students already know, Amplify Desmos Math helps build a strong foundation for success to guide and support future learning. Teachers are empowered to transform every classroom into an engaged math community that invites, values, and develops student thinking. With explicit guidance on what to look for and how to respond, teachers can effectively support students as they develop their understanding.

Open math workbook showing an End-of-Unit Assessment with multiple-choice and written response questions on fractions and equivalent values.

Program assessments

A variety of performance data in Amplify Desmos Math provides evidence of student learning while helping students bolster their skills and understanding.

Unit-Level Assessments

Our embedded unit assessments offer key insights into students’ conceptual understanding of math. These assessments provide regular, actionable information about how students are thinking about and processing math, with both auto-scoring and in-depth rubrics that help teachers anticipate and respond to students’ learning needs.

Lesson-Level Assessments

Amplify Desmos Math lessons are centered around sense-making and in-the-moment feedback. Daily moments of assessment provide valuable evidence of learning for both the teacher and student.

Data and reporting

Amplify Desmos Math provides teachers and administrators with unified reporting and insights so that educators have visibility into what students know about grade-level math—and can plan instruction accordingly for the whole class, small groups, and individual students.

A table displays students' performance levels across various items, with a detailed score distribution for a specific assessment shown in a separate overlay. Geometric design elements accented the background, providing an engaging visual touch ideal for any math classroom using Amplify Desmos Math.

Assessment reports

Reporting functionality integrates unit assessments, lesson assessments, personalized learning, Benchmark assessments, and Progress Monitoring for a comprehensive look at student learning.

Our reports show proficiency and growth by domain, cluster, standard, and priority concept using performance data from unit assessments. Then our reports highlight areas of potential student need to allow teachers to modify their instruction and target differentiated support.

At-a-glance views of unit-level assessment results inform your instructional planning, and you can also drill down to item-level analysis.

Standards reports

Our standards report allows you to monitor proficiency at the class and individual student levels. Proficiency and growth are shown by domain, cluster, standard, and priority concepts. Areas of potential student need are highlighted to allow teachers to modify their instruction and target differentiated support.

Administrator reports

Amplify Desmos Math provides a complete picture of student, class, and district performance, allowing administrators to implement instructional and intervention plans.

  • Track student, class, and district performance with usage, completion, and assessment data.
  • Accurately group students and classes with the Benchmark and Progress Monitoring data of mCLASS Assessments and allow teachers to reliably implement and track the progress of Tier 2 and Tier 3 intervention.
  • Provide one data-driven solution that educators can rely on for high-quality math instruction.

Elementary review resources

To learn about the elementary program, please start by watching the Amplify Desmos Math California Elementary Program Overview video.

For additional program information and helpful navigation tips, download the Amplify Desmos Math California Elementary Program Guide.

View the Elementary Program Components Guide here. 

View the Hands-on manipulatives brochure here.

Middle School review resources

To learn about the middle school program, please start by watching the Amplify Desmos Math California Middle School Program Overview video.

For additional program information and helpful navigation tips, download the Amplify Desmos Math California Middle School Program Guide.

View the Middle School Program Components Guide here.

View the middle school manipulative kit components here.

The digital experience

In Amplify Desmos Math, embedded interactions and animations allow students to test predictions, get feedback, share ideas, and connect representations.

The digital interactions included in lesson activities are designed to elicit student thinking in a way that feels fun and inviting. As students play and explore math concepts, teachers can highlight the ideas that students share, connect those ideas to other students’ ideas, and build on their thinking through productive class discussion.

Watch the video to preview the digital experience and for helpful platform navigation tips.

A laptop displays a math activity about platform heights and tube length, while a worksheet titled "Hamster Homes" is visible in the background.

Explore grade level samples

All lessons in Amplify Desmos Math California include print materials and rich digital experiences. Every lesson is supported with Student Edition pages, teacher presentation screens, and interactive digital resources for practice and differentiation. Some lessons also enable students to use devices to interact with lesson content.

You’ll find sample materials by grade level in the following drop-downs. Please refer to your physical samples and the digital platform (accessed through the demo account provided by your account executive) for a comprehensive program review.

Scope and Sequence

Math 2–3 is currently being developed and will be available in the 2026–27 school year.

Cover of "Amplify Desmos Math California Teacher Edition GEO Volume 1" featuring abstract geometric illustrations and people engaged in mathematical activities.
Scope and Sequence (National Edition)

The Amplify Desmos Math Geometry Beta National Edition is available for piloting in the 2025–26 school year. Amplify Desmos Math California Geometry will be available in the 2026–27 school year.

Cover of "Amplify Desmos Math California Geo Volume 1 Student Edition" featuring geometric shapes and small illustrated people interacting with mathematical elements.
Geometry sampler

This sampler includes Teacher Edition front matter for program overview information, plus Teacher Edition and Student Edition pages for Units 1–2.

Cover of "Amplify Desmos Math California A2 Teacher Edition," featuring a Ferris wheel, math graphs, and students interacting with mathematical concepts.
Scope and sequence (National Edition)

The Amplify Desmos Math Algebra 2 Beta National Edition is available for piloting in the 2025–26 school year. Amplify Desmos Math California Algebra 2 will be available in the 2026–27 school year.

Cover of "Amplify Desmos Math California Student Edition A2 Volume 1" featuring mathematical graphs, a Ferris wheel, and students interacting with math concepts.
Algebra 2 sampler

This sampler includes Teacher Edition front matter for program overview information, plus Teacher Edition and Student Edition pages for Units 1–2.

Contact us

For questions, samples, or more information, please contact your local Amplify account executive:

Erin King
Sales Director, CA
(512) 736-3162
eking@amplify.com

Northern CA
Wendy Garcia
Senior Account Executive
(510) 368-7666
wgarcia@amplify.com

Bay Area
Lance Burbank
Account Executive
(415) 830-5348
lburbank@amplify.com

Central Valley and Central Coast
Demitri Gonos
Senior Account Executive
(559) 355-3244
dgonos@amplify.com

Ventura and L.A. County
Jeff Sorenson
Associate Account Executive
(310) 902-1407
jsorenson@amplify.com

Orange and L.A. County
Lauren Sherman
Senior Account Executive
(949) 397-5766
lsherman@amplify.com

San Bernardino and L.A. County
Michael Gruber
Senior Account Executive
(951) 520-6542
migruber@amplify.com

Riverside and L.A. County
Brian Roy
Senior Account Executive
(818) 967-1674
broy@amplify.com

San Diego County
Kirk Van Wagoner
Senior Account Executive
(760) 696-0709
kvanwagoner@amplify.com

Under 2300 students in Bay Area, Sacramento Valley, and Northern Counties
Kevin Mauser
Lead Account Executive
(815) 534-0148
kmauser@amplify.com

Under 2300 students in Southern CA, Central Coast, and Southern Central Valley Counties
Charissa Snyder
Account Executive
(720) 936-6802
chsnyder@amplify.com

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Discovering and exploring mathematics in every story

Smiling young boy sits at a classroom desk holding an open book, developing reading comprehension, while two other children are seen in the background engaged in activities.

Every picture book on your classroom shelf holds mathematical treasures waiting to be discovered! What if every read-aloud could go beyond a literacy moment to become a catalyst for mathematical sense-making? This question lies at the heart of Allison Hintz and Antony T. Smith’s delightful and informative book, Mathematizing Children’s Literature: Sparking Connections, Joy, and Wonder Through Read-Alouds and Discussion.

Many teachers have used traditional counting books and shape-focused stories to support students in connecting mathematics to literature. According to Hintz and Smith, you can challenge readers to extend and expand upon these experiences in ways that provide more space for them to make sense of stories; ask their own questions; see mathematics authentically in the world; and make connections between the stories, the math, and their lives. That’s the promise of mathematizing—approaching any story with a mathematical lens.

The concept of “mathematizing” goes beyond simply finding numbers in a story. Children are naturally curious and construct meaning by noticing, exploring, explaining, and modeling. The story context becomes a place to play and practice seeing math everywhere in our world. As we read a story aloud and pause to ask, “What do you notice? What do you wonder?,” students are able to surface structure, compare quantities, model situations, and justify their ideas, all while staying rooted in characters, plot, setting, and theme. The result is a classroom where math feels joyful, meaningful, connected, and accessible.

In this post, we’ll explore simple moves to mathematize your next read-aloud, sample prompts to elevate discussion, and follow-up activities to turn your library into a launchpad for mathematical thinking!

Mathematizing process and structure

While there’s no one way to facilitate a mathematical read-aloud, the following steps can help you get started:

  1. Explore books in your current library. There are no hard and fast rules for choosing the right book to mathematize, because a book can spark mathematical ideas in many ways. Look for books that a) are overtly ‘mathy’ where the math is central to the story’s plot, b) have illustrations that provide opportunities to explore the math in them, and/or c) have a story that inspires mathematical thinking, even if the math isn’t central to the story’s plot.
  2. Read the book aloud for the first time. The first read is a wonderful opportunity for students to hear and enjoy the story itself.
  3. Ask students what they noticed and wondered. As students share their responses, record them on a piece of chart paper to revisit later. If no responses pertain to the math in the story, you can follow up with the question, “Where did you see math in the story?”
  4. Reread the book a second time or revisit a specific page in the book. At this point, you want to start to focus on the math the students will explore in the book. You can either reread the entire story and pause on strategic pages that center on the mathematical ideas, or revisit specific pages in the story. (If the story is longer,it will probably be easiest to just flip back to specific pages.)
  5. Elicit student thinking. Ask students what math questions they could ask based on the pages they revisited.
  6. Give students a follow-up math activity. This could be based on a question the students mentioned earlier in this process, or one the teacher has planned.

Mathematizing examples

To save you time finding a book to use, we’ve outlined a plan based on some of our favorite books to mathematize (listed by grade band).

Grade levelK–1
Book title and authorBear Says Thanks by Karma Wilson
Mathematical focusCounting, addition, and mathematical representations
LaunchRead the story aloud. Ask students, “What do you notice? What do you wonder?” Record their responses on a piece of chart paper. And ask students, “How many friends visited Bear? What different food items did Bear’s friends bring?”
Pages to revisitAs students describe the different foods, revisit those pages. Identify any foods the students didn’t mention. As you revisit each page, ask students, “How many of that food item did that friend bring? ”Record their responses on a piece of chart paper for each friend. 
ActivityArrange students in small groups of 3–4 and give them a piece of poster paper. Ask students to show each friend’s food items. They can represent them using pictures, counters, ten-frames, etc. After they’ve correctly represented each friend, ask them to show how many total food items Bear’s friends brought using numbers and equations. When they’ve finished, have them visit one another’s posters to see how others represented and added the food items. 
Grade level2–3
Book title and author100 Hungry Ants by Elinor J. Pinczes
Mathematical focusConnecting arrays to expressions
LaunchRead the story aloud. Ask students, “What do you notice? What do you wonder?” Record their responses on a piece of chart paper. And ask students, “How did the ants rearrange themselves throughout the book?”
Pages to revisitAs students describe the different arrangements of ants, revisit those pages so students have a visual of the array. As you revisit each page, ask students, “How many ants are in each row? Each column? What is an equation we can write to represent the array?” Record their responses on a piece of chart paper. 
ActivityArrange students in small groups of 3–4 and give them a piece of poster paper. Give each group a different number of ants. Suggested numbers are: 12, 24, 36, 20, 18. Ask students to draw all of the different ways their number of ants could rearrange themselves and record an equation to match each. If it’s helpful, you can give each group a set of cubes, counters, or beans to represent the ants so they can manipulate them. Wrap up the activity by having students visit one another’s posters and discussing the similarities and differences between them. 
Grade level4–5
Book title and authorDozens of Doughnuts by Carrie Finison
Mathematical focusMultiplication and division
LaunchRead the story aloud. Ask students, “What do you notice? What do you wonder?” Record their responses on a piece of chart paper. And ask students, “How many ways did Luanne share her doughnuts as friends arrived at her door?”
Pages to revisitAs students describe the different ways Luanne shared her doughnuts, revisit those pages. As you revisit each page, ask students, “How many doughnuts were being shared? By how many animals? ”Record their responses on a piece of chart paper. 
ActivityArrange students in small groups of 3–4 and give them each a piece of poster paper. Ask them to show all of the ways Luanne shared her doughnuts. To enable variation, refrain from specifying the representation they should use. After they’ve finished, ask them to do a Gallery Walk to each other’s posters to get ideas to add to their poster. If none of the groups have a multiplication and division equation for each way, ask students to record those as well. Ask students how Luanne could have shared a dozen doughnuts with the following number of animals showing up at her door: 5, 8, 10, 14, 16, and 18. Encourage students to show their work and record multiplication and division equations. 

And with all the upcoming holidays and opportunities to gather with friends and family, we were also inspired to use Spaghetti and Meatballs for All! by Marilyn Burns in a mathematizing read-aloud. Follow this link to find K–2 and 3–5 lesson plans for this book that you can use right away!

The early reading gender gap may be smaller than it seems.

Bar chart with three groups showing two bars each; values for young learners increase from beginning to end of year, reaching the highest literacy benchmarks at the end.

Amplify’s 2024–25 research brief on the latest end-of-year literacy data showed improvement in early literacy across grades K–2, with more young learners on track to learn to read and fewer far behind than at any time since the pandemic.

Compared to 2020–21, 8% more second graders, 14% more first graders, and 21% more kindergarteners were at or above benchmark.

We also found that while boys in grades K–2 score the same or better than girls of the same age in reading readiness at the beginning of the year, girls improved more during the school year, narrowing gaps and sometimes outperforming boys by end of year.

A complex picture of early readers

The data present a nuanced picture of gender disparities in early literacy.

Among K–2 students who were on track to learn to read at the end of the 2024–25 school year, boys began the year with the same or better early reading scores than girls.

Bar chart showing percent of male and female young learners in Grades K–2 on track for reading readiness in 2024–25, with scores increasing from beginning to end of year across all groups.

But in spite of this slim advantage, girls were ahead of boys by the end of kindergarten and first grade. Girls again narrowed the gap in second grade, but boys were still slightly ahead at the end of the year.

Similarities below the literacy benchmark

The story was similar for K–2 students at risk of not learning to read.

Across K–2, girls scored the same or better than boys, and the same trend emerged with students who were on track: During the year, girls showed more improvement than boys.

As a result, by the end of the year, fewer girls were at risk of not learning to read than boys.

Bar chart showing the percent of young learners in grades K–2 at risk of not learning to read at three points in the 2024–25 year, grouped by grade and gender, based on reading assessments.

Toward reading readiness

The latest end-of-year data show that student performance in early reading is at the highest levels since the lows of the pandemic five years ago. More students are on track for learning to read and fewer are far behind in grades K–2. But despite these successes, broad literacy trends across the United States remain a concern, as year-over-year progress across all early grades has slowed. As schools and districts align on priorities ahead of the new school year, they must take into account students who are learning to read. It’s important that schools and districts invest in a reliable universal screener, high-quality core curriculum, evidence-based interventions, and professional development.

“Grades K–2 remain critical years for literacy development,” said Susan Lambert, Chief Academic Officer of elementary humanities at Amplify and the host of Science of Reading: The Podcast. “To support young readers, educators need data-driven insights into student reading development and instructional practices that are based in the Science of Reading.”

Teachers and administrators can best support all students with data-driven strategies and tools for reaching literary benchmarks, including:

  • Administering elementary reading assessments three times a year to monitor student risk level for reading challenges.
  • Supporting students at risk for not learning to read by analyzing data from reading assessments and making informed decisions.
  • Allocating extra classroom time and resources to help students who aren’t on track.
  • Monitoring progress and making adjustments as needed.
  • Ensuring that evidence-based reading instruction is offered at every grade level.
  • Instilling a love of reading in and out of school, in partnership with caregivers and community.

How we gather data

Amplify mCLASS, our teacher-administered literary assessment and intervention suite for grades K–6, is powered by Dynamic Indicators of Basic Early Literacy Skills (DIBELS) 8th Edition—an observational assessment collected by teachers interacting with students one on one, either live or over video, typically administered three times a year (beginning, middle, and end of year).

At the end of the school year, our report highlights reading scores by comparing Amplify mCLASS with DIBELS benchmark data from the preceding six school years (2019–20 through 2024–25).

Our data represent approximately 250,000 students in a matched set of 1,400 schools in 43 states. The schools in the source data are slightly more likely to be in large urban metropolitan areas than the nation overall, but perform comparably to the much larger mCLASS national population.

Additional resources

Let’s keep the conversation going! Join the discussion in our Amplify learning communities.

Dive into the findings in our End-of-Year Report.

More to explore

Science of Reading: The Podcast

Beyond My Years podcast

Science of Reading

Science of Reading: A New Teacher’s Guide ebook

Big gains but slow progress in reading readiness

A woman shows a young girl something on a smartphone while they sit together at a table in a classroom, exploring reading comprehension strategies.

Amplify’s end-of-year research brief for 2024–25 shows that the youngest learners have made the greatest progress with foundational reading skills in the last five years: more kindergarteners, first graders, and second graders are on track to learn to read and fewer are far behind than at any time since the pandemic.

Kindergarteners made the biggest strides in the knowledge and skills measured by elementary reading assessments, with 70% on track to learn to read—a 21-point improvement since the pandemic.

Post-pandemic slide

In 2020–21 (the year students returned to school after the pandemic shutdowns), only 55% of K–2 students were on track to learn to read by the end of the year.

The youngest cohort struggled the most, with only 49% of kindergarteners at or above benchmark.

More students on track to learn to read

But by the end of the 2024–25 school year, the overall picture of reading readiness was much brighter.

Our data shows a 13-point increase, with 68% of the youngest readers at or above benchmark.

First and second graders were also far ahead of where they were five years ago, with improvements of 14 and 8 points, respectively.

Progress slowing

While our 2024–25 end-of-year early reading data shows significant progress relative to 2020-21, the picture is less rosy when we compare it to last year:

  • Overall, the number of K–2 students at or above literacy benchmarks was only one percentage point higher at the end of 2024–25 than it was at the end of the previous school year.
  • Within that cohort, both kindergarten and first graders saw a 2% increase, but second graders only saw a 1% increase.

Fewer students far behind

Similarly, our data showed a significant drop in the number of young readers well below benchmark between the post-pandemic school year and the 2024–25 school year.

  • Kindergarteners, again, showed the most improvement, with the number of students far behind dropping from 38% in 2020–21 to 20% at the end of the 2024–25 school year.
  • Among first graders, we saw a 12-point decline in students who were not on track to learn to read compared to 2020–21
  • Second graders showed the least improvement, with a decline of six percentage points relative to 2020-21.

Improvements among this cohort followed a similar trend to those of the at-benchmark readers: a noticeable decline over five years, but a barely noticeable year-over-year improvement.

  • Only 1% fewer students across K–2 were far behind at the end of this year compared to the year before.

More improvement during the school year

Our data also revealed some good news about annual progress in early literacy development:

  • Across K–2, students showed a bigger improvement in reading readiness than they did in prior years.
  • By the end of the 2024–25 school year, 70% of kindergarten students were on track to learn to read, compared to 36% at the beginning of the year (the greatest improvement since 2020–21).
  • First graders had a 19% improvement by the end of the 2024–25 school year (70% on track by end of year) compared to 56% in 2021.
  • Second graders showed an 11-point increase in reading readiness from beginning to end of year (65% to 54%).

Putting the Science of Reading to work for students

“Grades K–2 remain critical years for literacy development,” said Susan Lambert, Chief Academic Officer of elementary humanities at Amplify and host of Science of Reading: The Podcast. “To support young readers, educators need data-driven insights into student reading development and instructional practices that are based in the Science of Reading.”

Research has shown that data-driven strategies and tools provide the best support for young learners’ future academic success. Here are a few of the ways teachers, administrators, and parents can put them into practice:

  • Administering elementary reading assessments three times a year, to monitor student risk level for reading challenges
  • Supporting students at risk for not learning to read by analyzing data from reading assessments and making informed decisions
  • Allocating extra classroom time and resources to help students who aren’t on track
  • Monitoring progress and making adjustments as needed
  • Ensuring that evidence-based reading instruction is offered at every grade level
  • Instilling a love of reading in and out of school, in partnership with caregivers and community

Let’s keep the conversation going! Join the discussion in our Amplify learning communities.

Dive into the findings in our End-of-Year Report.

More to explore

Science of Reading: The Podcast

Beyond My Years podcast

Science of Reading

Science of Reading: A New Teacher’s Guide ebook

What’s included in our PreK language arts curriculum

Through its research-based structure, Amplify CKLA for PreK provides developmentally appropriate instruction and activities that do more than lay the groundwork for foundational skills. Uniquely, this preschool language arts curriculum offers content knowledge, recognizing research that shows true literacy also requires background knowledge in history, science, art and literature.

Choose Level

Year at a glance

Amplify CKLA PreK is a comprehensive English Language Arts curriculum designed to prepare young children academically, socially, and emotionally for later reading success by building foundational language and literacy skills. The program provides a flexible 45 minutes of interactive instruction.

Domains at a glance

Each domain in Amplify CKLA PreK provides explicit, systematic support for developing language, literacy, and content knowledge, incorporating developmentally appropriate routines and trade books to provide a robust, literacy-rich environment for young learners.

All About Me

Routines used throughout the year are introduced. Students learn nursery rhymes and songs with movements connected to the topic.

Skills: Students identify environmental noises, distinguish sounds, make rhymes, and learn that words are written in print. Students begin pre-writing activities.

Families and Communities

Students learn about families, celebrations and traditions, and people who work and play in their community.

Skills: Students focus on rhyme awareness and creating rhymes, recognizing syllables (parts) of spoken words, and continue handwriting practice.

Animals

This domain focuses on different types of animals, their basic needs, how they protect themselves, and other concepts.

Skills: Students identify beginning sounds in spoken words and are introduced to the sound and “sound picture” for the letter ‘m’.

Plants

Students learn how plants live and grow and are introduced to the idea of cycles, a concept they will study in subsequent years.

Skills: Students learn and practice the sounds and sound pictures for three new letters, and orally blend two-sound words.

Habitats

Building on previous domains about plants and animals, students learn more about elements that make up a habitat and explore different habitats.

Skills: Phonemic awareness is a central factor in this domain as students blend and segment three-sound words. Students learn four new sounds.

Classic Tales

Students are introduced to traditional stories and fables that have been favorites among children for generations.

Important People in American History

Students engage in read-alouds and engaging activities that deepen their understanding about important Americans who have changed or are changing how we live today.

Print & digital components

The program includes instructional guidance and student materials for a year of instruction, with lessons and activities that keep students engaged every day.

Component

FORMAT

Teacher materials

Teacher Guides (one per domain) include all instruction and a variety of assessment tools at point-of-use to support progress-monitoring.

Print

Classroom materials

Rich resources for each domain include Flip Books, Image Cards, and Transition and Center Cards. The program also provides 3-4 Trade Books per domain, Nursery Rhyme and Songs Posters, and a Big Book for the Classic Tales domain.

Print

Component

FORMAT

Activity Pages

Student resources are provided for classroom and home that reinforce content and skills through a direct application of newly taught material.

Print

Explore more programs

Our programs are designed to support and complement one another. Learn more about our related programs.

Utah ELA Review for Grades PK–5

Thank you for taking the time to review Amplify’s core ELA program for PK–5. Amplify Core Knowledge Language Arts® (CKLA) is a state-approved core ELA curriculum designated as a primary core program that fully meets the Science of Reading requirements outlined in SB 127.

Amplify CKLA, developed in partnership with the Core Knowledge Foundation, was designed to help teachers implement Science of Reading principles and evidence-based instructional practices. Scroll down to learn how CKLA is uniquely designed to help all your students make learning leaps in literacy.

Illustration of a diverse group of people engaged in creative activities, including a woman holding architectural plans and a young girl reading a book.

Step 1: Program Introduction

Welcome to Amplify CKLA! Before you dive into our materials, watch the video below to learn about the big picture behind Amplify CKLA’s pedagogy.

In this video, Susan Lambert (Chief Academic Officer and host of Science of Reading: The Podocast) shares why Amplify CKLA was created, how it is built on the Science of Reading, and the impact it’s making across the country.

Step 2: Program Overview

Amplify CKLA is different for a reason. Watch the overview video below to learn about these differences and why educators love them.

In this video, you’ll get an in-depth look at the program’s overall structure and organization, the design behind our proven lessons, and the materials included to support teaching and learning.

The Amplify CKLA Program Guide also provides an in-depth view of how Amplify CKLA works, how it’s structured, and why it’s uniquely capable of helping you bring reading instruction based on the Science of Reading to your classroom.

Evidence-based design

Amplify CKLA is rooted in Science of Reading research. Mirroring Scarborough’s Rope, Amplify CKLA delivers a combination of explicit foundational skills with meaningful knowledge-building.

  • In Grades PK–2, dedicated knowledge-building and explicit skills instruction are taught simultaneously through two distinct instructional strands.
  • In Grades 3–5, dedicated knowledge-building and explicit skills instruction are woven together and delivered through one integrated strand.
Scarborough's Rope

Grades K–2 Skills and Knowledge Strands
Every day students in Grades K–2 complete one full lesson that explicitly and systematically builds foundational reading skills in the Skills Strand, as well as one full lesson that builds robust background knowledge to access complex text in the Knowledge Strand. Through learning in each of these strands, students develop the early literacy skills necessary to help them become confident readers and build the context to understand what they’re reading.

Grades 3–5 Integrated Strand
In Grades 3–5, Knowledge and Skills are integrated in one set of instructional materials. Lessons begin to combine skills and knowledge with increasingly complex texts, close reading, and a greater writing emphasis. Students can then use their skills to go on their own independent reading adventures.

Key features

For each Amplify CKLA key feature below, click the drop down arrow to learn more.

Built out of the latest research in the Science of Reading, Amplify CKLA delivers explicit instruction in both foundational literacy skills (systematic phonics, decoding, and fluency) and background knowledge in grades PK–2 with an integrated approach to explicit instruction in grades 3–5.

Review this Science of Reading toolkit to learn more about the Science of Reading best practices integrated throughout CKLA.

Amplify CKLA aligns with the instructional principles recommended by Orton Gillingham and LETRS.

  • Structured–Concepts are taught through consistent routines
  • Sequential–Concepts are taught in a logical, well-planned sequence
  • Systematic–Phonemes are taught from simplest to most complex
  • Explicit–Decoding and encoding concepts are taught directly and explicitly
  • Multi-sensory–Instruction is delivered through visual, auditory, and kinesthetic-tactile pathways
  • Cumulative–Concepts are applied in decodable, connected texts with constant review and reinforcement

Watch this video to learn more!

Additionally, great reading instruction starts with helping kids develop great decoding skills. Our instruction is supported by:

The Science of Reading reveals knowledge as an essential pillar of reading comprehension and lifelong literacy. Hear from author Natalie Wexler and CKLA customers on edWebinar about the importance of knowledge-building in reading instruction.

Students build grade-appropriate subject-area knowledge and vocabulary in history, science, literature, and the arts while learning to read, write, and think creatively and for themselves. Our instruction is supported by:

  • Knowledge builders that provide a quick overview of each domain with its key ideas.
  • Interactive Read-Alouds designed to build knowledge and vocabulary.
  • Content-rich anchor texts that support students as they tackle increasingly complex text and sharpen their analytical skills.
  • Social and emotional learning paired with lessons in civic responsibility.

Amplify CKLA not only received an all-green rating from the rigorous evaluators at EdReports, but it was also recently recognized by the Knowledge Matters Campaign as a high-quality literacy program that excels in building knowledge. Our shared message: background knowledge is essential to literacy and learning.

Student-led reading practice should be purposeful and connected to the core. That’s why Amplify createdBoost Reading. As an optional add-on to Amplify CKLA, students have the opportunity to practice skills directly tied to the skills they’ve been working on during core reading time. Boost Reading also adapts to each student to address their personal gaps and bolsters foundational skills at a pace that supports their individual development.

Boost Reading’s collection of 40+ adaptive games target foundational reading skills and develops them in alignment with Science of Reading principles. Unlike other adaptive games, we ensure students:

  • Practice the right skills at the right time. Our embedded placement tool ensures students receive the content and skill practice most appropriate for their current reading level. From there, students move through our curriculum along their own learning pathway where they encounter personalized content tailored to their evolving skill and grade levels.
  • Progress along a pathway that adapts on multiple dimensions, not just one. For example, a student can work on early first-grade decoding in one game while building more advanced vocabulary knowledge in another.
  • Practice skills in tandem. For example, a student is never forced to master one skill area before proceeding to the next. Instead, we offer students that opportunity to work on multiple skills concurrently.
  • Feel supported with scaffolding, instruction, and practice that adapts based on student performance.
  • Stay engaged by giving them immediate and clear feedback. These results are never punitive. Instead our always-positive feedback is delivered in the context of the game world and is designed to motivate students to keep trying.

Click the buttons below to learn more:

Step 3: Program Resources

Easy-to-use print materials

Amplify CKLA’s easy-to-use materials bring foundational skills and knowledge to life in the classroom.

Download the Amplify CKLA Components guide to see components by grade and watch the print materials walkthrough below.

Engaging CKLA digital experience

The top-rated content of Amplify CKLA is now live with the digital experience that enhances instruction and saves time.

Two digital dashboards are displayed: one for teachers showing recommendations and a program list, and one for students showing to-do items and a lesson named Mount Olympus, Part II.

With the digital experience, everything is in one place, making it easier and more engaging than ever to plan lessons, present digital content, and review student work. Click the arrows below to learn more.

With the digital experience, teachers have access to ready-to-use and customizable lesson presentation slides, complete with all the prompts from the print Teacher Guide embedded in the teacher view. As teachers deliver each lesson, students can engage with the content in one cohesive experience—through these CKLA resources: Activity Books, slides, digital components, videos, Student Readers, and more.

The innovative live review tool found in the digital experience enables you to keep an eye on all of your students as they work on drawing, recording audio, uploading and capturing images, and typing or writing in pre-placed textboxes in their Activity Pages. This dynamic tool provides countless classroom management benefits, enabling you to spot and correct common mistakes as they’re happening, praise your students for thoughtful work, and identify students who are not engaged in the task at hand. Simply put, it will give you those valuable “eyes in the back of your head” you’ve warned your students about!

The digital experience integrates with various LMSs, allowing you and your students to access Amplify CKLA with the software you’re already comfortable using.

In the Amplify CKLA student digital experience, your students have one intuitive access point to fully engage with classroom instruction. Through the Student Home, students can easily access digital lessons with slides, Activity Pages, ebooks, videos, and other interactives from one simple dashboard. Students can draw, record audio, upload and capture images, and type or write in pre-placed text boxes in their Activity Pages.

CKLA review resources

Step 4: State Review Resources

Step 5: Program Access

Explore as a teacher

Before logging in, watch this brief video on navigating the CKLA Teacher Platform.

Ready to explore as a teacher? Follow these instructions:

  • Click the Amplify CKLA Teacher Platform button below.
  • Select Log in with Amplify.
  • Enter the teacher username: t1.utcklapk5@demo.tryamplify.net
  • Enter the teacher password: Amplify1-utcklapk5
  • Choose CKLA from the “Your Programs” menu on Educator Home.
  • Select a grade level from the drop-down menu at the top of the page.

Ready to explore as a Student? Follow these instructions:

  • Click the Amplify CKLA Teacher Platform button below.
  • Select Log in with Amplify.
  • Enter the student username: s1.utahcklapk5@demo.tryamplify.net
  • Enter the student password: Amplify1-utahcklapk5

CKLA – Knowledge Research Units for K–5

To view this protected page, enter the password below:



Welcome

Elementary Literacy Program – Family Welcome Letter

Lectoescritura en Español – Carta de bienvenida para las familias

Grade K

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Welcome

Elementary Literacy Program – Family Welcome Letter

Lectoescritura en Español – Carta de bienvenida para las familias

Grade K

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Introducing new units for Amplify CKLA and Amplify Caminos K–5

As part of our commitment to creating even richer and more wide-ranging curricula, we are excited to release six new units for both Amplify CKLA and Amplify Caminos!

Click here to learn more about Amplify CKLA.

Click here to learn more about Amplify Caminos.

About these units

Our brand-new Knowledge Research units carry forward the powerful and proven instructional approach of both Amplify CKLA and Amplify Caminos while also:

  • Adding more variety to engage students from many walks of life. The rich topics and highly visual components featured in these units provide students with even more “windows and mirrors” and perspectives as they work to build knowledge.
  • Adding more authentic literature. Each new research unit revolves around a collection of high-interest authentic trade books that will spark more curiosity and inspire more inquiry.
  • Adding more flexibility. Units can be implemented for extended core instruction during flex periods, district-designated Pausing Points, or enrichment periods.

Units cover a variety of rich and relevant topics:

Three illustrations: one shows people at a gaming session, the middle depicts a diverse group standing together, and the third portrays a group gardening outdoors.

With these new units, students will soar to new heights with Dr. Ellen Ochoa, Amelia Earhart, and the Tuskegee Airmen. They’ll feel the rhythm as they learn about Jazz legends Miles Davis, Tito Puente, and Duke Ellington. And they’ll explore the far reaches of the world with Jacques Cousteau, Matthew Henson, and Eugenie Clark.

  • Grade K: Art and the World Around Us/El arte y el mundo que nos rodea
  • Grade 1: Adventure Stories: Tales from the Edge of the World/Cuentos de aventuras: relatos desde los confines de la Tierra
  • Grade 2: Up, Up, and Away: The Age of Aviation/¡A volar! La era de la aviación
  • Grade 3: All That Jazz/Jazz y más
  • Grade 4: Energy: Past, Present, and Future/Energía: pasado, presente y futuro
  • Grade 5: Beyond Juneteenth: 1865 to present/Más allá de Juneteenth: de 1865 al presente

Units are available in English and Spanish, and will include the following components:

  • Teacher Guide
  • Student Activity Books
  • Image Cards
  • Trade Book Collection
  • Digital Components (grades K–3 and 5)

Grade K: Art and the World Around Us/El arte y el mundo que nos rodea

“Every child is an artist,” said Picasso, meaning that every child uses art to explore and understand the world around them. Art and the World Around Us honors that truth by introducing Kindergarten students to some of the ways in which artists have explored and understood the worlds around them, too.

This domain introduces students to artists from different time periods, countries, and cultures. Throughout the unit, students learn about different kinds of art and how artists use the world around them as they make art. They also connect this to what they have already learned about the earth, plants, and animals in other Amplify CKLA and Amplify Caminos domains: Farms/Granjas, Plants/Plantas, and Taking Care of the Earth/Cuidar el planeta Tierra. In addition, students connect this to what they have learned about sculptors in the Presidents and American Symbols/Presidentes y símbolos de los Estados Unidos domain. As they explore different artists and artistic traditions, they develop their ideas about how humans are connected to each other and to the world around them.

As you read the texts in this unit, students may observe ways in which the characters or subjects are both similar to and different from students. This is a good opportunity to teach students awareness and sensitivity, building on the idea that all people share some things in common, and have other things that make them unique. This unit also offers an excellent opportunity to collaborate with your school’s art teacher, as many lessons have suggested activities to help students understand the kind of art they are studying.

Within this unit, students have opportunities to:

  • Use details to describe art.
  • Identify three ways to create art.
  • Identify characteristics of cave art.
  • Sequence the steps of making pottery.
  • Describe how artists can create work connected to the world around them.
  • Describe what makes Kehinde Wiley’s portraits unique.
  • Explain how the texture of a surface can affect artwork created on it.
  • Explain what a sculpture is.
  • Describe what makes James Turrell’s artwork about the sky unique.
  • Explain what a museum is and what kinds of things you can see or do there.

Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • The First Drawing by Mordicai Gerstein
  • Van Gogh and the Sunflowers by Laurence Anholt
  • My Name is Georgia by Jeanette Winter
  • A Life Made by Hand by Andrea D’Aquino
  • Rainbow Weaver by Linda Elovitz Marshall
  • Luna Loves Art by Joseph Coelho

Grade 1: Adventure Stories: Tales from the Edge of the World/Cuentos de aventuras: relatos desde los confines de la Tierra

This domain introduces students to adventure stories set around the world and challenges students to dig into the adventures through research. By listening to the Read-Alouds and trade books, students increase their vocabulary and reading comprehension skills, learn valuable lessons about perseverance and teamwork, and become familiar with gathering information for research.

In this unit, students study the careers of real-world explorers Dr. Eugenie Clark and Sophia Danenberg, marvel at the inventions of Jacques Cousteau, think critically about how teamwork and collaboration can make greater adventures possible, learn about the science and technology that enable adventures, and research some of the ways humans have confronted challenges at the edges of the world, from the oceans below to space above.

Each lesson in the domain builds students’ research skills as they ask questions, gather information, and write a paragraph about their findings. Students share what they have learned about adventures in an Adventure Gallery Walkthrough. By taking on the persona of one of the adventurers they meet in the Read-Alouds and trade books, students deliver their final paragraphs as if they are a “speaking portrait” of that person. Students are invited to dress up as that adventurer if they desire.

In addition, teachers can set aside time outside of the instructional block to create the picture frames students will hold as they present to the Adventure Gallery Walk guests. Frames can be made from shirt boxes, cardboard, construction paper, or any art supplies that are on hand. This might be an opportunity to collaborate with the school’s art department if resources are available. Another option is to ask students to make their frames at home with their caregivers. On the day of the Adventure Gallery Walk, students will be the hosts and take on specific jobs, such as welcoming the guests, describing their work throughout the unit, and pointing out the areas of study on the domain bulletin board. You can find a complete list of student jobs in Lesson 13.

This unit builds upon the following Amplify CKLA and Amplify Caminos units that students will have encountered in the previous grade.

  • Nursery Rhymes and Fables/Rimas y fábulas infantiles (Kindergarten)
  • Stories/Cuentos (Kindergarten)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Adventure Stories: Tales from the Edge of the World. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • My Name is Gabito/Me llamo Gabito by Monica Brown
  • Tomas and the Galápagos Adventure by Carolyn Lunn
  • The Astronaut with a Song for the Stars: The Story of Dr. Ellen Ochoa by Julia Finley Mosca
  • Mae Among the Stars by Roda Ahmed
  • Shark Lady: The True Story of How Eugenie Clark Became the Ocean’s Most Fearless Scientist by Jess Keating
  • Manfish by Jennifer Berne
  • Keep On! The Story of Matthew Henson, Co-Discoverer of the North Pole by Deborah Hopkinson
  • The Top of the World: Climbing Mount Everest by Steve Jenkins

Grade 2: Up, Up, and Away: The Age of Aviation/¡A volar! La era de la aviación

With this domain, students head up, up, and away with an introduction to the soaring history of aviation. Students learn the stories of early aviators, such as the Montgolfier brothers, the Wright brothers, Aída de Acosta, and Amelia Earhart.

During the unit, students study the science of flight, including the physics concept of lift, and research the social impacts of the world of flight. Finally, students let their research skills take flight as they explore key figures from the world of aviation.

The lessons in this domain build on earlier Grade 2 CKLA and Amplify Caminos domains about the westward expansion, early Greek civilizations, and Greek myths, and lay the foundation for learning about other periods of world history in future grades.

This unit builds upon the following Amplify CKLA and Amplify Caminos units that students will have encountered earlier in the year.

  • The Ancient Greek Civilization/La civilización griega antigua (Grade 2)
  • Greek Myths/Mitos griegos (Grade 2)
  • Westward Expansion/La expansión hacia el oeste (Grade 2)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Up, Up, and Away: The Age of Aviation. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Up and Away!: How Two Brothers Invented the Hot-Air Balloon by Jason Henry
  • The Glorious Flight: Across the Channel with Louis Blériot by Alice and Martin Provensen
  • The Flying Girl: How Aída de Acosta Learned to Soar by Margarita Engle
  • Wood, Wire, Wings: Emma Lilian Todd Invents an Airplane by Kirsten Larson
  • Helicopter Man: Igor Sikorsky and His Amazing Invention by Edwin Brit Wyckoff
  • The Tuskegee Airmen Story by Lynn Homan and Thomas Reilly
  • Skyward: The Story of Female Pilots in WWII by Sally Deng
  • Aim for the Skies: Jerrie Mock and Joan Merriam Smith’s Race to Complete Amelia Earhart’s Quest by Aimee Bissonette

Grade 3: All That Jazz/Jazz y más

This domain teaches students about the vibrant music, poetry, and culture of the Jazz Age in the United States. Students learn about famous writers and musicians like Langston Hughes, Louis Armstrong, Billie Holiday, Melba Liston, Tito Puente, and Miles Davis. They study how the jazz art form took root in the South, then spread to the North to become the sound of the Harlem Renaissance, eventually connecting people around the world in musical expression.

During this unit, students perform guided research to further explore both the history of jazz and what jazz is today. They develop research skills and then use those skills to find deeper connections between the stories and music of the Jazz Age and music today. As students learn about the world of jazz, they collaborate and share ideas with their classmates. They also practice sharing feedback focused on their written work, and, at the end of the unit, students present their research to the group.

The lessons give students opportunities to dive into the rhythms and stories of jazz, utilizing the knowledge sequence in this unit to:

  • Collaboratively generate research questions about jazz, jazz musicians, contemporary musicians from the state where they live or have lived, and the evolution of jazz music.
  • Utilize Read-Alouds, independent reading, and partner reading to learn about the Jazz Age, the Harlem Renaissance, jazz music, and biographies of celebrated jazz musicians and writers.
  • Research the answers to their generated questions, gather information, write a short research essay about a famous jazz musician, write a short essay about a contemporary musician from the state where they live or have lived, and give a presentation about their research.

Within this unit, students have opportunities to:

  • Ask relevant questions and make pertinent comments
  • Identify details in texts
  • Determine key ideas of texts by evaluating details
  • Make text-based inferences
  • Generate questions based on prior knowledge and gathered information
  • Synthesize details across texts to demonstrate comprehension
  • Discuss and explain an author’s purpose
  • Identify and cite reliable primary and secondary sources of information
  • Compose a well-organized and focused informative essay
  • Make connections between topics
  • Present information using appropriate media

Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Birth of the Cool: How Jazz Great Miles Davis Found His Sound by Kathleen Cornell Berman
  • Little Melba and Her Big Trombone by Kathryn Russell-Brown
  • Benny Goodman and Teddy Wilson: Taking the Stage as the First Black and White Jazz Band in History by Lesa Cline-Ransome
  • Tito Puente, Mambo King by Monica Brown
  • Drum Dream Girl: How One Girl’s Courage Changed Music by Margarita Engle
  • Duke Ellington: The Piano Prince and His Orchestra by Andrea Pinkney

In this unit, students also read the poem “Harlem” by Langston Hughes. (Available for free through the Academy of American Poets website and the Poetry Foundation website, with recorded audio available through the website for John Hancock College Preparatory High School.)

Grade 4: Energy: Past, Present, and Future/Energía: pasado, presente y futuro

With this domain, students become tomorrow’s problem solvers in this study of energy in the United States. Analytical reading skills are developed by examining the challenges of early energy innovators. Students then read about current energy practices and young energy change-makers across the world.

Throughout the unit, students conduct research into different sources of energy and present a proposal, putting them in the shoes of future energy innovators. They also use the knowledge sequence in this unit to:

  • Collaboratively analyze texts to identify cause-effect and problem-solution relationships.
  • Generate questions and conduct research about energy.
  • Write an opinion essay making their case for a fuel of the future.
  • Create energy proposals using primary and secondary resources.

This unit builds upon the following Amplify CKLA units that students will have encountered in previous grades as well as earlier in the year.

  • Plants/Plantas (Grade K)
  • The History of the Earth/La historia de la Tierra (Grade 1)
  • Eureka! Student Inventor/¡Eureka! El arte de la invención (Grade 4)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Energy: Past, Present, and Future. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • Buried Sunlight: How Fossil Fuels Have Changed the Earth by Molly Bang and Penny Chisholm
  • Energy Island: How One Community Harnessed the Wind and Changed their World by Allan Drummond
  • The Boy Who Harnessed the Wind: Picture Book Edition by William Kamkwamba and Bryan Mealer

Grade 5: Beyond Juneteenth: 1865 to present/Más allá de Juneteenth: de 1865 al presente

Within this domain, Students learn about General Granger’s announcement in Galveston, Texas on June 19, 1865, a day marked in history as Juneteenth. Texts and multimedia sources will support foundational knowledge-building about the end of slavery in the United States. A review of the first freedom announcement, President Lincoln’s Emancipation Proclamation, provides students with background knowledge to further emphasize the significance of Juneteenth in American history.

This unit also takes students on a journey beyond Juneteenth, as they study specific contributions of African Americans from 1865 to the present day. Students participate in a virtual field trip to Emancipation Park in Houston, Texas and use the knowledge sequence in this unit to:

  • Collaboratively generate research questions about Juneteenth, The Great Migration, innovators and inventors, education, the humanities, activists, and allies.
  • Use Read-Alouds, independent, and partner reading to learn about African American contributions from 1865 to the present.
  • Research to find answers to their generated questions, gather information, and write a four-chapter Beyond Juneteenth book.

This unit builds upon the following Amplify CKLA units that students will have encountered in previous grades.

  • Native Americans/Los nativos americanos (Grade K)
  • A New Nation: American Independence/Una nueva nación: la independencia de los Estados Unidos
    (Grade 1)
  • The U.S. Civil War/La Guerra Civil de los Estados Unidos (Grade 2)
  • Immigration/La inmigración (Grade 2)
  • Native Americans/Los nativos americanos (Grade 5)

The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Beyond Juneteenth: 1865 to present. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.

Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.

  • All Different Now: Juneteenth, the First Day of Freedom by Angela Johnson
  • The Great Migration: An American Story by Jacob Lawrence
  • Sing a Song: How “Lift Every Voice and Sing” Inspired Generations by Kelly Starling Lyons
  • Side by Side/ Lado a lado: The Story of Dolores Huerta and Cesar Chavez/ La Historia de Dolores Huerta y Cesar Chavez by Monica Brown
  • Of Thee I Sing: A Letter to My Daughters by Barack Obama

Amplify CKLA Review for Alabama

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Core STEM programs: Strengthen sessions

Professional development sets teachers and leaders up for success, whether they are new to or experienced with a program. Each Strengthen session promotes a deeper understanding of the program through targeted instructional practices.

Explore STEM Strengthen sessions by program below.

Professional Learning Partner Guide Certified Provider

Amplify professional development has been vetted by Rivet Education’s team through a rigorous three-step process and is listed in the Professional Learning Partner Guide.

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About Strengthen sessions

Target specific instructional practices with Strengthen sessions designed for teachers and leaders in year one and beyond.

Ready to schedule? Contact us and an Amplify expert will help identify the session(s) that best support your students’ success.

Each package includes one Strengthen session. Additional sessions can be added as enhancements.

Amplify Math

Amplify Math is a core math curriculum that serves 100% of students in accessing grade-level math every day. The program delivers engaging grade-level math lessons; flexible, social problem-solving experiences both online and off, and insights, data, and reporting that drive performance.

Explore the Amplify Math Strengthen sessions (for grade bands 6–Algebra 1 and Geometry–Algebra 2) for Begin packages and beyond. Click the session title or scroll down to learn more about each session.

Begin packages

  On-site package
(15 hr.)
Hybrid
on-site package

(15 hr.)
Hybrid 10 package
(10 hr.)
Hybrid
virtual package

(15 hr.)
Virtual package
(7 hr.)
One Strengthen session per package On-site
3 hr. sessions
On-site
3 hr. sessions
Virtual
1 hr. sessions
Virtual
3 hr. sessions
Virtual
1 hr. sessions
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Enhancing practice for 6–A1 teachers
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Unit-level planning for 6–A1 teachers
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Lesson-level planning for 6–A1 teachers
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Begin: Enhancing planning for grade 6–A1 teachers

On-site or virtual, 3 hours

Prepare to teach Amplify Math lessons effectively by engaging in collaborative backward planning with experts. Work alongside our facilitators to understand how to target key concepts and make successful instructional decisions across a unit, and leave with a completed unit plan for your class.

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Enhancing practice for grade 6–A1 teachers

On-site or virtual, 3 hours

See the Launch, Monitor, Connect problem-based learning model in action, and practice integrating these practices into your facilitation of lesson activities. Leave with guidelines for using the Launch, Monitor, Connect model that you can implement during your next lesson.

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Enhancing observations for leaders

On-site or virtual, 3 hours

Learn to use our non-evaluative classroom look-for tool for Amplify Math to promote the use of instructional resources, focus on instructional delivery, and monitor instruction. Leave with an action plan for collecting and analyzing observation data to support teachers in their implementation of Amplify Math.

Audience: Leaders (maximum 30 participants)

Begin: Strengthen Focus: Unit-level planning for grade 6–A1 teachers

Virtual, 1 hour

Dive into unit planning as you learn the story of how your upcoming unit is tied to other units and grade levels, and discover the big ideas you will explore alongside your students in Amplify Math.

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Strengthen Focus: Lesson-level planning for grade 6–A1 teachers

Virtual, 1 hour

Dive into lesson-level planning as you learn how to create a road map that guides student learning, makes connections across lessons, and measures student understanding of the learning goals in Amplify Math.

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Strengthen Focus: Increasing engagement with Instructional Routines for grade 6–A1 teachers

Virtual, 1 hour

Explore how to use Instructional Routines such as Notice and Wonder to support and engage students as they make sense of new contexts and mathematical problems in Amplify Math.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice packages

  On-site package
(15 hr.)
Hybrid 15,
on-site package

(15 hr.)
Hybrid 13 package
(13 hr.)
Virtual package
(9 hr.)
One Strengthen session per package On-site
3 hr. sessions
On-site
3 hr. sessions
Virtual
1 hr. sessions
Virtual
3 hr. session
Enhancing planning for 6–A1 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Enhancing practice for 6–A1 teachers
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Using differentiation supports for 6–A1 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.    A large, light peach-colored checkmark on a transparent background. 
Using data to drive instruction for 6–A1 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Addressing prerequisite skills for 6–A1 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Orchestrating math discussions for 6–A1 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Building language with math routines for 6–A1 teachers     A large, light peach-colored checkmark on a transparent background.  
Unit-level planning for 6–A1 teachers     A large, light peach-colored checkmark on a transparent background.  
Lesson-level planning for 6–A1 teachers     A large, light peach-colored checkmark on a transparent background.  
Increasing engagement with Instructional Routines for 6–A1 teachers     A large, light peach-colored checkmark on a transparent background.  

Practice: Enhancing planning for grade 6–A1 teachers

On-site or virtual, 3 hours

Prepare to effectively teach Amplify Math lessons by engaging in collaborative backward planning with experts. Work alongside our facilitators to understand how to target key concepts and make effective instructional decisions across a unit, and leave with a completed unit plan for your class.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Enhancing practice for grade 6–A1 teachers

On-site or virtual, 3 hours

See the Launch, Monitor, Connect problem-based learning model in action, and practice integrating these practices into your facilitation of lesson activities. Leave with guidelines for using the Launch, Monitor, Connect model that you can implement during your next lesson.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Enhancing observations for leaders

On-site or virtual, 3 hours

Learn to use our non-evaluative classroom look-for tool for Amplify Math to promote the use of instructional resources, focus on instructional delivery, and monitor instruction. Leave with an action plan for collecting and analyzing observation data to support teachers in their implementation of Amplify Math.

Audience: Leaders (maximum 30 participants)

Practice: Using differentiation supports for grade 6–A1 teachers

On-site or virtual, 3 hours

Learn how to leverage embedded differentiated supports in Amplify Math to ensure that all students can be successful. Walk away with a plan for supporting students in your classroom including multilingual/English learners (ML/ELs), students with disabilities, students who may need extra support, and advanced students.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Using data to drive instruction for grade 6–A1 teachers

On-site or virtual, 3 hours

Grow your proficiency in data analysis. Turn student data gathered within Amplify Math into differentiated instruction targeting specific skills. Walk away ready to use the data provided in the curriculum to align embedded support to your students’ unique needs.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Addressing prerequisite skills for grade 6–A1 teachers

On-site or virtual, 3 hours

Explore Amplify Math’s just-in-time approach to addressing prerequisite skills. Leave with a deeper understanding of how to use embedded curriculum resources to identify and support prerequisite skills essential for your next unit.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Orchestrating math discussions for grade 6–A1 teachers

On-site or virtual, 3 hours

Learn strategies for leading discussions that promote more math talk among all students in your classroom. Walk away with strategies and Amplify Math curriculum tools you can bring back to your classroom to enhance discussion in your next lesson.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Strengthen Focus: Building language with math routines for grade 6–A1 teachers

Virtual, 1 hour

Explore how Math Language Routines support students as they make sense of new contexts and mathematical problems in Amplify Math. Leave with strategies for using these routines to support students in learning mathematical practices, content, and language in your upcoming lessons.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Strengthen Focus: Unit-level planning for grade 6–A1 teachers

Virtual, 1 hour

Dive into unit planning as you learn the story of how your upcoming unit is tied to other units and grade levels, and discover the big ideas you’ll explore alongside your students in Amplify Math.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Strengthen Focus: Lesson-level planning for grade 6–A1 teachers

Virtual, 1 hour

Dive into lesson-level planning as you learn how to create a roadmap for a lesson that guides student learning, makes connections across lessons, and measures student understanding of the learning goals in Amplify Math.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Strengthen Focus: Increasing engagement with Instructional Routines for grade 6–A1 teachers

Virtual, 1 hour

Explore how to leverage Instructional Routines such as Notice and Wonder to support students as they make sense of new contexts and mathematical problems in Amplify Math.

Audience: Teachers, instructional staff (maximum 30 participants)

Amplify Desmos Math

Amplify Desmos Math is a core K–12 program—available in English and Spanish—that applies a problem-based approach to develop deep conceptual understanding, procedural fluency, and application. Using technology inspired by students’ natural curiosity, Amplify Desmos Math connects the classroom and fosters real collaboration, discourse, and perseverance in problem-solving. Captivating activities, powerful teaching tools, and lots of support enable students to develop math proficiency that lasts a lifetime.

Explore the Amplify Desmos Math Strengthen sessions (for grades K–5, 6–A1, and high school) for Begin packages and beyond. Click the session title or scroll down to learn more about each session.

Begin packages

Strengthen sessions

  On-site package
(15 hr.)
Hybrid 15,
on-site package

(15 hr.)
Hybrid 10 package
(10 hr.)
Hybrid 15, virtual package
(15 hr.)
Virtual package
(7 hr.)
One Strengthen session per package On-site,
3 hr.
On-site,
3 hr.
Virtual,
1 hr.
Virtual,
3 hr.
Virtual,
1 hr.
Enhancing planning for
K–5, 6
–A1, or high school teachers
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Enhancing practice for
K–5, 6
–A1, or high school teachers
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Supporting all learners: Differentiation in Amplify Desmos Math for K–5 or 6–A1 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
Unit-level planning for
K–5, 6–A1, or high school teachers
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Begin: Amplify Desmos Math: Enhancing planning for K–5, 6–A1, or high school teachers

On-site or virtual, 3 hours

Dive into planning for Amplify Desmos Math, both big picture and day-to-day. Practice using lesson- and unit-planning protocols that will help you build a deep understanding of the math content you’ll be teaching and the planning resources available to you in the curriculum. Walk away with practical strategies for planning, even when you may not have much time.

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Amplify Desmos Math: Enhancing practice for K–5, 6–A1, or high school teachers

On-site or virtual, 3 hours

Dig into Amplify Desmos Math’s Launch, Monitor, Connect framework to level-up the student discourse in your math class. Explore in-the-moment differentiation support to help you orchestrate discussion and make the most out of key opportunities for conversation and collaboration.

Audience: Teachers, instructional staff (maximum 30 participants)

New session

Begin: Strengthen: Supporting all learners: Differentiation in Amplify Desmos Math for K–5 or 6–A1 teachers

On-site or virtual, 3 hours

Learn how to use the differentiation supports in Amplify Desmos Math to effectively support all learners, both in the moment during a lesson and beyond the lesson. Leave with a plan for implementing resources to support, strengthen, and stretch students’ thinking.

Audience: Teachers, instructional staff (maximum 30 participants)

New session

Begin: Amplify Desmos Math: Enhancing observations for K–5, 6–A1, or high school leaders

High school sessions are available October 2026.

On-site or virtual, 3 hours

Elevate your program knowledge to support teachers with effective Amplify Desmos Math implementation. Leave prepared to identify key instructional elements in a problem-based math lesson, analyze data, and conduct effective classroom observations.

Audience: Leaders (maximum 30 participants)

New session

Begin: Strengthen Focus: Amplify Desmos Math: Unit-level planning for K–5, 6–A1, or high school teachers

Virtual, 1 hour

Dive into unit-level planning to learn the story of your upcoming unit, and discover the big ideas you will explore alongside your students in Amplify Desmos Math.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice packages

Strengthen sessions

  On-site package
(15 hr.)
Hybrid 15,
on-site package

(15 hr.)
Hybrid 13 package
(13 hr.)
Virtual package
(9 hr.)
One Strengthen session per package On-site,
3 hr.
Virtual,
3 hr.
Virtual,
1 hr.
Virtual,
3 hr.
Amplify Desmos Math: Enhancing planning for K–5, 6–A1, or high school teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Amplify Desmos Math: Enhancing practice for K–5, 6–A1, or high school teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Amplify Desmos Math: Enhancing observations for K–5, 6–A, or high school leaders A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Amplify Desmos Math: Supporting all learners: Differentiation in Amplify Desmos Math for K–5 or 6–A1 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Amplify Desmos Math: Supporting and facilitating meaningful discussions for K–5, 6–A1, or high school teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Amplify Desmos Math: Assessment in action: Analyzing data, reports, and planning next steps for K–5 or 6–A1 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Amplify Desmos Math: Unit-level planning for K–5, 6–A1, or high school teachers
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Amplify Desmos Math: Teaching a lesson with digital student screens for K–5 teachers     A large, light peach-colored checkmark on a transparent background.  
Amplify Desmos Math: Snapshots in the Teacher Dashboard for
6–A1 teachers
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Amplify Desmos Math: Increasing engagement with instructional routines for K–5, 6–A1, or high school teachers     A large, light peach-colored checkmark on a transparent background.  

Practice: Amplify Desmos Math: Enhancing planning for K–5, 6–A1, or high school teachers

On-site or virtual, 3 hours

Dive into both big-picture and day-to-day planning for Amplify Desmos Math. Practice using lesson- and unit-planning protocols that will help you build a deep understanding of the math content you’ll be teaching and the planning resources available to you in the curriculum. Walk away with practical strategies for planning, even when you may not have much time.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Amplify Desmos Math: Enhancing practice for K–5, 6–A1, or high school teachers

On-site or virtual, 3 hours

Dig into Amplify Desmos Math’s Launch, Monitor, Connect framework to level up the student discourse in your math class. Explore in-the-moment differentiation support to help you orchestrate discussion and make the most out of key opportunities for conversation and collaboration.

Audience: Teachers, instructional staff (maximum 30 participants)

New session

Practice: Amplify Desmos Math: Enhancing observations for K–5, 6–A1, or high school leaders

High school sessions are available October 2026.

On-site or virtual, 3 hours

Elevate your program knowledge to support teachers with effective Amplify Desmos Math implementation. Leave prepared to identify key instructional elements in a problem-based math lesson, analyze data, and conduct effective classroom observations.

Audience: Leaders (maximum 30 participants)

New session

Practice: Amplify Desmos Math: Supporting all learners: Differentiation in Amplify Desmos Math for K–5 or 6–A1 teachers

On-site or virtual, 3 hours

Learn how to use the differentiation supports in Amplify Desmos Math to effectively support all learners, both in the moment during a lesson and beyond the lesson. Leave with a plan for implementing resources to support, strengthen, and stretch students’ thinking.

Audience: Teachers, instructional staff (maximum 30 participants)

Available October 2026

Practice: Amplify Desmos Math: Supporting and facilitating meaningful discussions for K–5, 6–A1, or high school teachers

On-site or virtual, 3 hours

Explore how to transform your mathematics classroom into a social and collaborative environment where students deepen their understanding by sharing their mathematical thinking. Learn more about how Amplify Desmos Math provides support for these meaningful mathematical conversations.

Audience: Teachers, instructional staff (maximum 30 participants)

Available October 2026

Practice: Amplify Desmos Math: Assessment in action: Analyzing data, reports, and planning next steps for K–5 or 6–A1 teachers

On-site or virtual, 3 hours

Deepen your understanding of the different types of assessments in Amplify Desmos Math and how they provide evidence of student learning. Analyze sample student work to calibrate on assessment scoring, interpret student thinking, and make a plan for instructional next steps.

Audience: Teachers, instructional staff (maximum 30 participants)

New session

Practice: Strengthen Focus: Amplify Desmos Math: Unit-level planning for K–5, 6–A1, or high school teachers

Virtual, 1 hour

Dive into unit-level planning to learn the story of your upcoming unit, and discover the big ideas you will explore alongside your students in Amplify Desmos Math.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Strengthen Focus: Amplify Desmos Math: Teaching a lesson with digital student screens for K–5 teachers

Virtual, 1 hour

Get ready to facilitate lessons with digital student screens. Explore what’s possible with the Teacher Dashboard and plan to make the most of these exciting instructional moments.

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Strengthen Focus: Amplify Desmos Math: Snapshots in the Teacher Dashboard for 6–A1 teachers

Virtual, 1 hour

Explore how to use the Snapshots tool in the Teacher Dashboard to create a collaborative classroom that invites and celebrates student thinking. Leave with planning tips and tricks that will get you ready to use Snapshots during your busy math classes.

Audience: Teachers, instructional staff (maximum 30 participants)

Available October 2026

Practice: Strengthen Focus: Amplify Desmos Math: Increasing engagement with instructional routines for K–5, 6–A1, or high school teachers

Virtual, 1 hour

Explore how to use the instructional routines in Amplify Desmos Math to support and engage students as they make sense of new contexts, develop mathematical language, and solve problems.

Audience: Teachers, instructional staff (maximum 30 participants)

Amplify Science

Amplify Science is a K–8 science curriculum that blends hands-on investigations, literacy-rich activities, and interactive digital tools to empower students to think, read, write, and argue like real scientists and engineers. 

Explore the Amplify Science sessions (for grade bands K–5 and 6–8) for year-one packages and beyond. Select the session title or scroll to learn more about each session.

Begin packages

Strengthen sessions

  On-site package
(15 hr.)
Hybrid 15,
on-site package

(15 hr.)
Hybrid 10 package
(10 hr.)
Hybrid 15, virtual package
(15 hr.)
Virtual package
(7 hr.)
One Strengthen session per package On-site,
3 hr.
Virtual,
3 hr.
Virtual,
1 hr.
Virtual,
3 hr.
Virtual,
1 hr.
Amplify Science: Enhancing planning for K–5 or 6–8 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
Amplify Science: Enhancing practice
for K–5 or 6–8 teachers

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Amplify Science: Enhancing observations for K–8 leaders A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
Amplify Science: Planning an Amplify Science lesson for K–8 teachers
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Amplify Science: Supporting all learners: Exploring the resources for K–8 teachers
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Amplify Science: Supporting all learners: Teacher modeling and student discourse
for K–8 teachers

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Begin: Amplify Science: Enhancing planning for K–5 or 6–8 teachers

On-site or virtual, 3 hours

Learn how to use a planning protocol to internalize an upcoming Amplify Science unit. Leave with a plan to support students engaging in three-dimensional learning while also meeting the needs of all students in your classroom.

Audience: Teachers, instructional staff grades K–5 or 6–8 (maximum 30 participants)

Begin: Amplify Science: Enhancing practice for K–5 or 6–8 teachers

On-site or virtual, 3 hours

Learn how Amplify Science supports phenomenon-based learning. Experience a sequence of model instruction from the curriculum, and walk away with a plan for how you can enhance the curriculum through your teaching practice to build a powerful culture of figuring out in your science classroom.

Audience: Teachers, instructional staff grades K–5 or 6–8 (maximum 30 participants)

Begin: Amplify Science: Enhancing observations for K–8 leaders

On-site or virtual, 3 hours

Learn to use the non-evaluative classroom look-for tool for Amplify Science to promote the use of instructional materials, focus on instructional delivery, and monitor instruction. Leave with an action plan for collecting and analyzing observation data to support teachers in their implementation of Amplify Science.

Audience: Leaders grades K–8 (maximum 30 participants)

Begin: Strengthen Focus: Amplify Science: Planning an Amplify Science lesson for K–8 teachers

Virtual, 1 hour

Develop structure and routines for planning Amplify Science lessons and leave prepared for an upcoming lesson.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Begin: Strengthen Focus: Amplify Science: Supporting all learners: Exploring the resources for K–8 teachers

Virtual, 1 hour

Learn how to use lesson-specific differentiation briefs, embedded assessments, and activity-specific teacher support notes to maximize instruction for all learners with Amplify Science.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Begin: Strengthen Focus: Amplify Science: Supporting all learners: Teacher modeling and student discourse for K–8 teachers

Virtual, 1 hour

Explore ways to leverage and build upon two key instructional elements in Amplify Science, and plan how you’ll use these supports to engage all learners in your next lesson.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Practice packages

Strengthen sessions

  On-site package
(15 hr.)
Hybrid 15,
on-site package

(15 hr.)
Hybrid 13 package
(13 hr.)
Virtual package
(9 hr.)
One Strengthen session per package On-site,
3 hr.
Virtual,
3 hr.
Virtual,
1 hr.
Virtual,
3 hr.
Amplify Science: Enhancing planning for K–5 or 6–8 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Amplify Science: Enhancing practice for K–5 or 6–8 teachers
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Amplify Science: Enhancing observations for K–8 leaders A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Amplify Science: Supporting all learners with complex texts for K–5 or 6–8 teachers
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Amplify Science: Supporting multilingual/English learners for K–5 or 6–8 teachers
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Amplify Science: Writing in science for K–5 or 6–8 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Amplify Science: Assessment system for K–5 or 6–8 teachers
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Amplify Science: Engineering Internships for 6–8 teachers
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Amplify Science: Science Seminar for 6–8 teachers
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Amplify Science: Planning an Amplify Science lesson for K–8 teachers
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Amplify Science: Supporting all learners: Exploring the resources for K–8 teachers
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Amplify Science: Supporting all learners: Teacher modeling and student discourse for K–8 teachers
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Amplify Science: Analyzing student work for K–8 teachers
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Amplify Science: Supporting all learners: Multimodal learning and multiple at-bats for K–8 teachers
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Amplify Science: Grading with Amplify Science for K–8 teachers
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Amplify Science: Enhancing the digital experience for K–5 teachers
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Amplify Science: Planning with the Coherence Flowchart for K–8 teachers
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Practice: Amplify Science: Enhancing planning for K–5 or 6–8 teachers

On-site or virtual, 3 hours

Learn how to use a planning protocol to internalize an upcoming Amplify Science unit. Walk away with a plan to support students engaging in three-dimensional learning while also meeting the all needs of students in your classroom.

Audience: Teachers, instructional staff grades K–5 or 6–8 (maximum 30 participants)

Practice: Amplify Science: Enhancing practice for K–5 or 6–8 teachers

On-site or virtual, 3 hours

Learn how Amplify Science supports phenomenon-based learning. Experience a sequence of model instruction from the curriculum, and walk away with a plan for how you can enhance the curriculum through your teaching practice to build a powerful culture of “figuring out” in your science classroom.

Audience: Teachers, instructional staff grades K–5 or 6–8 (maximum 30 participants)

Practice: Amplify Science: Enhancing observations for K–5 or 6–8 leaders

On-site or virtual, 3 hours

Learn to use the non-evaluative classroom look-for tool for Amplify Science to promote the use of instructional materials, focus on instructional delivery, and monitor instruction. Leave with an action plan for collecting and analyzing observation data to support teachers in their implementation of Amplify Science.

Audience: Leaders grades K–5 or 6–8 (maximum 30 participants)

Practice: Amplify Science: Supporting all learners with complex texts for K–5 or 6–8 teachers

On-site or virtual, 3 hours

Collaborate to solve common reading challenges alongside other educatorsLearn strategies to support students in grades K–5 or 6–8 in accessing complex texts in Amplify Science units by engaging in a model-reading sequence. Leave with a plan for incorporating effective strategies into your upcoming Amplify Science reading lesson.

Audience: Teachers, instructional staff grades K–5 or 6–8 (maximum 30 participants)

Practice: Amplify Science: Supporting multilingual/English learners for K–5 or 6–8 teachers

On-site or virtual, 3 hours

Explore strategies and engage in model activities to support multilingual/English learners in grades K–5 or 6–8 in developing their abilities to do, talk, read, write, visualize, and construct arguments in Amplify Science. Leave with strategies to support a deeper understanding of the critical role that language and literacy play in developing scientific understanding.

Audience: Teachers, instructional staff grades K–5 or 6–8 (maximum 30 participants)

Practice: Amplify Science: Writing in science for K–5 or 6–8 teachers

On-site or virtual, 3 hours

Develop an understanding of how the Amplify Science writing approach supports students in grades K–5 or 6–8 in engaging in science practices, making sense of science ideas, and growing as writers. Leave with a plan for supporting student writing in your next unit.

Audience: Teachers, instructional staff grades K–5 or 6–8 (maximum 30 participants)

Practice: Amplify Science: Assessment system for K–5 or 6–8 teachers

On-site or virtual, 3 hours

Analyze a sample formative assessment, deepen your understanding of learning progressions in each Amplify Science unit, and participate in discussions to understand the relationships between different types of assessments and your unit’s learning goals. Walk away with strategies for collecting, analyzing, and responding to student assessment data.

Audience: Teachers, instructional staff grades of K–5 or 6–8 (maximum 30 participants)

Practice: Amplify Science: Engineering Internships for 6–8 teachers

On-site or virtual, 3 hours

Plan for the first Amplify Science Engineering Internship course of your grade level (6–8) by exploring the Futura workspace and digital tools students will use during the internship experience. Leave with an understanding of how students will apply science concept knowledge to construct design solutions. This session will feature one of the following Engineering Internships based on your need: Metabolism, Plate Motion, or Force and Motion.

Audience: Teachers, instructional staff grades 6–8 (maximum 30 participants)

Practice: Amplify Science: Science Seminar for 6–8 teachers

On-site or virtual, 3 hours

Experience a Science Seminar sequence of a sample unit from Amplify Science grade 6–8 from the student perspective! Gain an understanding of how students apply science concepts to engage in argumentation about a phenomenon, and leave with a plan for teaching a Science Seminar unit in your own classroom.

Audience: Teachers, instructional staff grades 6–8 (maximum 30 participants)

Practice: Strengthen Focus: Amplify Science: Planning an Amplify Science lesson for K–8 teachers

Virtual, 1 hour

Develop a structure for planning Amplify Science lessons and leave prepared for an upcoming lesson.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Practice: Strengthen Focus: Amplify Science: Supporting all learners: Exploring the resources for K–8 teachers

Virtual, 1 hour

Learn how to use lesson-specific differentiation briefs, embedded assessments, and activity-specific teacher support notes to supplement instruction for all learners with Amplify Science.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Practice: Strengthen Focus: Amplify Science: Supporting all learners: Teacher modeling and student discourse for K–8 teachers

Virtual, 1 hour

Explore ways to leverage and build upon two key instructional elements in Amplify Science and plan for ways to use these supports to engage all learners in your next lesson.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Practice: Strengthen Focus: Amplify Science: Analyzing student work for K–8 teachers

Virtual, 1 hour

Engage with a protocol to analyze real student work and plan for instructional next steps in Amplify Science. (You are required to bring student formative assessment samples to this session.)

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Practice: Strengthen Focus: Amplify Science: Supporting all learners: Multimodal learning and multiple at-bats for K–8 teachers

Virtual, 3 hours

Learn strategies to develop an understanding of how Amplify Science’s multimodal approach supports all learners.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Practice: Strengthen Focus: Amplify Science: Grading with Amplify Science for K–8 teachers

Virtual, 1 hour

Develop an understanding of how to use assessment resources in Amplify Science to grade students three-dimensionally and use practices that align with district/school guidelines.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Practice: Strengthen Focus: Amplify Science: Enhancing the digital experience for K–5 teachers

Virtual, 1 hour

Learn how to go further with Amplify Science digital experience tools to enhance teaching and learning.

Audience: Teachers, instructional staff grades K–5 (maximum 30 participants)

Practice: Strengthen Focus: Amplify Science: Planning with the Coherence Flowchart for K–8 teachers

Virtual, 1 hour

Practice using the Coherence Flowchart resource to plan an upcoming Amplify Science unit.

Audience: Teachers, instructional staff grades K–8 (maximum 30 participants)

Get in touch with a PD expert.

Welcome to the Amplify CKLA 3rd Edition program review site!

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Texas State Reviewers:  Welcome to Amplify ELAR Skills and Amplify SLAR Habilidades y Destrezas!

Thank you for taking the time to review Amplify’s English and Spanish Phonics programs for Texas. This site will allow you to easily access grade-level teacher and student resources submitted for review. Simply click the program you wish to review below to get started.

Feedback: Amplify’s materials on this website have been submitted to the Texas State Board of Education for review as part of their annual IMRA (Instructional Materials Review and Approval) process.  During this process, Amplify is accepting feedback and will make additional edits to address surfacing issues.  Your feedback is appreciated as we ensure a product of the highest quality.  Please submit feedback and/or error reports by visiting sboe.texas.gov/imra.

Illustrations of diverse children engaged in various activities across different seasons and settings.

Amplify Texas ELAR Skills K-3

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TEKS Breakout Correlations

Grade K

Grade 1

Grade 2

Grade 3

Amplify Texas SLAR Habilidades y Destrezas K-2

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Navigation video

TEKS Breakout Correlations

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      • Password:   AmplifyNumber1
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Essential K-2 program materials:

  • Image Cards / Tarjetas de imágenes
  • Large Letter Cards / Tarjetas grandes de letras
  • Small Letter Cards / Tarjetas pequeñas de letras
  • Vocabulary Book – Teacher Guide / Libro de vocabulario: Guía del maestro
  • Vocabulary Book – Activity Book / Libro de vocabulario: Cuaderno del estudiante
  • Cursive Activity Book

Grado K

Grado 1

Grado 2

Desmos Math 6–A1 correlations with Carnegie Math Texas

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Grade K

Unit 1: Count Sequence and Numbers to 5

Module 1: Represent Numbers to 5 with Objects

Lesson 1: Represent 1 and 2Connecting Cubes
Lesson 2: Represent 3 and 4Skye’s Style
Matching Groups
Designing Shoes With Skye

Unit 2: Count Sequence and Numbers to 10

Module 7: Represent Numbers 6 to 10 with Objects

Module 10: Compare Numbers to 10

Lesson 4: Compare Groups Within 10 by CountingMore, Fewer, or the Same
Fingers and Counters
Lesson 5: Compare Groups Within 10 by MatchingComparing Words
Forest Friends

Module 11: Add To and Take From Within 10

Module 12: Put Together and Take Apart Within 10

Lesson 3: Solve Put Together Problems Within 10How Many Objects in Pictures?
How Will You Count?
What Does It Mean to Add?
Lesson 4: Solve Take Apart Problems Within 10What Does It Mean to Subtract?
Lesson 5: Solve Word Problems Within 10The Bus Depot

Module 13: Ways to Make Numbers to 10

Lesson 4: Ways to Make 10Harry’s Hamster Wheel
Harry Explores Space
Lesson 5: Make 10 From a Given NumberShowing What We Know About 10
Lesson 1: Ways to Make 6 and 7Harry Explores the Ocean

Unit 3: Geometry

Module 14: Analyze and Compare Three-Dimensional Shapes

Module OpenerWhat’s That Shape?
Lesson 5: Build ShapesBuilding Solid Shapes

Module 15: Describe Position of Objects

Module 16: Analyze and Compare Two-Dimensional Shapes

Lesson 7: Compare Two-Dimensional and Three-Dimensional ShapesSo Much Sorting
What’s That Shape Called?
Another Shape

Unit 4: Number and Operations in Base Ten

Module 17: Place Value Foundations-Represent Numbers to 20

Lesson 3: Compose Ten Ones and Some More Ones to 19Investigate: Packing Snacks
Lesson 4: Represent Numbers to 20Getting Ready for the Game
How Many on the Field?
Pass, Shoot, Score

Module 18: Place Value Foundations-Represent Number to 20 with a Written Numeral

Lesson 1: Count and Write 11 to 14Jersey Jam!
Lesson 3: Count and Write 16-19People at the Park

Grade 1

Unit 1: Ways to Add and Subtract

Module 2: Subtraction Strategies

Lesson 2.1: Represent SubtractionPacking a Picnic
Lesson 2.2: Count BackWhat’s the Difference?
Lesson 2.3: Count on to SubtractLeaping Lily Pads!

Module 3: Properties of Operations

Lesson 3.6: Determin Equatl and Not EqualReplanting Huli

Module 4: Apply Addition and Subtraction Relationships

Lesson 4.2: Represent Related FactsSame Number, Different Ways
Lesson 4.3: Identify Related FactsKitten Coaster
Lesson 4.6: Solve for Unknow AddendTutu’s Garden in Maui

Module 5: Understand Add to and Take From Problems

Lesson 5.4: Solve Add To and Take From ProblemsA Community Working Together
Helping Others
Making 10

Module 6: Understand Put Together and Take Apart Problems

Lesson 6.3: Represent Addend and Unknown Problems with Objects and DrawingInvestigate: Let’s Grow!

Module 8: Data

Lesson: 8.2 Represent Data with Picture GraphsShapes Ying Saw

Unit 3: Numbers to 120

Module 10: Count and Represent Numbers

Lesson 10.4: Decompose Numbers in Different WaysInvestigate: Game Points
Lesson 10.5: Represent, Read, and Write Numbers from 100 to 110From Head to Claw
From Wing Tip to Wing Tip
Measuring More Wingspans
Lesson 10.5: Represent, Read, and Write Numbers from 110 to 120From Head to Claw
From Wing Tip to Wing Tip
Measuring More Wingspans

Unit 4: Addition and Subtractoin in Base Ten

Module 12: Understand Addition and Subtraction with Tens and Ones

Lesson 12.1: Representing Adding TensMeeting Yara
It’s a Match
From Park to Table
Lesson 12.3: Add and Subtract TensHow Many Cubes?
Boris’s Thimbles
How Many Tens?

Module 13: Two-Digita Addition and Subtraction

Lesson 13.1: Use Hundred Charts to Show Two-Digit Addtion and Subtraction.Investigate: Squashes at the Playground
Lesson 13.2: Understand and Explain Place Value AdditionTown Helpers
Making Squash Butter

Unit 6: Measurment

Module 16: Fraction Foundations

Lesson 16.1: TAke Apart Two-Dimensional ShapesFair and Square
Lesson 16.2: Identify Equal or Unequal PartsOne of the Parts, All of the Parts
Lesson 16.4: Partition Shapes into FourthsA Bigger Part

Grade 2

Unit 1: Numbers and Data

Module 1: Fluency for Addition and Subtraction Within 20

Lesson 1.5: Use the Make a Ten Strategy to AddExploring Within 10
Ways to Make 10

Module 1: Fluency for Addition and Subtraction Within 21

Lesson 1.6: Use a Tens Fact to SubtractExploring Within 10
Ways to Make 10

Module 2: Equal Groups

Lesson 2.1: Identify Even and Odd NumbersCan You Share?
Is It Even or Odd?
Lesson 2.2: Write Equations to Represent Even NumbersEverybody, Find A Partner!

Module 3: Data

Lesson 3.5: Draw bar graphs to Represent DataAwesome Aquariums

Unit 2: Place Value

Module 4: Understand Place Value

Lesson 4.1: Group Tens as HundredsWhat Makes a Hundred?
Lesson 4.2: Understand Three-Digit NumbersWhat’s the Value?
Lesson 4.4: Represent Numbers with Hundreds, Tens, and OnesMail Call!
What’s Your Name?

Module 5: Read, Write, and Show Numbers to 1000

Lesson 5.3: Different Ways to Write NumbersA New Representation
Lesson 5.4: Different Ways to Show NumbersAll the Ways!

Module 6: Use Place Value

Lesson 6.1: Count Within 1000Investigate
Turtle Hurdle
Lesson 6.5: Use Symbols to Compare NumbersTime to Line Up!

Unit 3: Money and Time

Module 7: Coins

Lesson 7.1: Relate Place Value to CoinsInvestigate
Lesson 7.2 Identify and Find Value of CoinsDiscovering Coins (Part 1)
Lesson 7.3: Compute the Value of Coin CombinationsHow Much Money?
Lesson 7.4: Show Amounts in Different WaysDiscovering Coins (Part 2)
The Toy Stand

Module 8: Dollar Amounts

Lesson 8.3: Solve Problems Involving MoneyThe Craft Stand at the Block Party

Unit 5: Three-Digita Addition and Subtraction

Module 16: Three-Digit Addition

Lesson 16.1: Use Drawing to Represent Three-Digit AdditionThere’s Something About Berries
Lesson 16.2: Decomposte Three-Digit AddendsBaking With Skunk

Unit 6: Measurement

Module 18: Lengths in Inches, Feet, and Yards

Lesson 18.4: Make Line Ploits to Show Measurement DataMessy Measurements
Bracelets and Wristbands

Module 20: Relate Addition and Subtraction to Length

Lesson 20.1: Relate Inches to a Number LineInvestigate
Time to Line Up!
What’s That Number?
Lesson 20.2: Add and Subtract Lengths in InchesLengths of Jungle Animals
Lesson 20.3: Relate Centimeters to a Number LineInvestigate
Time to Line Up!
In Full Bloom

Unit 7: Geometry and Fractions

Module 21: Two- and Three- Dimensional Shapes

Lesson 21.2 Identify and Draw Three-Dimensional ShapesMore to Measure
Lesson 21.2: Identify and Draw Two-Dimensional ShapesFrame It!
Measure It, Draw It

Grade 3

Unit 1: Understand Multiplication and Area

Module 1: Understand Multiplication

Lesson 1.1: Count Equal GroupsEqual Groups
Lesson 1.3: Represent Multiplication with ArraysArrays of Flavor
Lesson 1.4: Understand the Commutative Property of MultiplicationArrays of Flavor

Module 2: Relate Multiplication and Area

Lesson 2.1 Understand Area by Counting Unit SquareInvestigate: Comparing Rugs
Which Covers More Space?
Lesson 2.2: Measuring Area by Counting Unit SquaresTiling Figures
Area Hunt
Lesson 2.3: Relate Area to Addition and MultiplicationRectangles and Arrays

Unit 2: Multiplication and Division

Module 7: Relate Multiplication and Division

Lesson 7.7: Build Fluency with Multiplication and DivisionRelating Quotients to Familiar Products

Module 8: Apply Multiplication and Division

Lesson 8.3: Use Multiplication and Division to Solve Problem SituationsIt’s Chili in Here!
Lesson 8.4: Solve Two-Step ProblemsDivision and Multiplication Equations

Unit 3: Addition and Subtraction Strategies

Module 9: Addition and Subtraction Strategies

Lesson 9.3: Use Properties to AddHow Would You Solve It?
Lesson 9.4: Use Mental Math to Assess ReasonablenessAdding Strategically

Module 10: Addition and Subtraction Within 1000

Lesson 10.1: Use Expanded Form to AddWhat Is an Algorithm?
Lesson 10.2: Use Place Value to AddAdding Your Way
Using Fewer Digits
Lesson 10.5: Choose a Strategy to Add or SubtractDetermining Sums of 2 or More Addends

Unit 4: Fractions

Module 13: Understand Fractions as Numbers

Lesson 13.4: Represent and Name Fractions on a Number LineFractions on the Number Line
Lesson 13.5: Express Whole Numbers as FractionsCat Crossing
Lesson 13.6: Represent and Name Fractions Greater Than 1Location, Location, Location

Unit 5: Measurement and Data

Module 18: Represent and Interpret Data

Lesson 18.4: Make a Bar GraphPuppy Pile
2, 5, or 10?
Egg-cellent Pick
Lesson 18.5: Use Line Plots to Display Measurement DataHow Long Is It?
More Precise Measurements
Same Lengths, Different Names
Lesson 18.6: Make Line Plots to Display Measurement DataThe Plot Chickens
Let’s Make a Line Plot

Unit 6: Geometry

Module 19: Define Two-Dimensional Shapes

Lesson 19.1: Describe ShapesPiho’s Shapes
Lesson 19.4: Define QuadrilateralsRectangles, Squares, and Rhombuses

Module 20: Categorize Two-Dimensional Shapes

Lesson 20.1: Draw QuadrilateralsMore Quadrilaterals

Grade 4

Unit 1: Place Value and Whole Number Operations

Module 3: Interpret and Solve Problem Situations

Lesson 3.1: Explore Multiplicative ComparisonsSticker Mania
Lesson 3.4: Use Comparison to Solve Problem SituationsRepresenting “Times as Many”
Going Swimming

Unit 2: Multiplication and Division Problems

Module 4: Mental Math and Estimation Strategies

Lesson 4.3: Estimate Products by 1-Digit NumbersA Reasonable Answer

Module 5: Multiply by 1-Digit Numbers

Lesson 5.1: Represent MultiplicationInvestigate: Packing Lei
Lesson 5.2: Use Area Models and the Distributive Property to MultiplyCounting Flowers for Lei
Lesson 5.4: Multiplying Using Partial ProductsThree of a Kind
Lesson 5.6: Multiplying 3-Digit and 4-Digit NumbersA Lei Making Workshop

Unit 3: Extend and Apply Multiplication

Module 8: Extend and Apply Multiplication

Lesson 8.1: Multiply with TensGrowing Flowers for the Lei
Lesson 8.3: Relate Area Model and Partial ProductsDouble Decomposition
Lesson 8.4: Multiplying Using Partial ProductsRevisiting Strategies
Lesson 8.7: Solve Multi-step Problems and Assess ReasonablenessHow Many Supplies?

Unit 4: Fractions and Decimals

Module 10: Algebraic Thinking and Number Theory

Lesson 10.1: Investigate FactorsHamster Homes
Lesson 10.2: Identify FactorsFactor or Multiple?
Lesson 10.4: Identify Prime and Composite NumbersA Number Game
Lesson 10.5 Generate and Analyze Number PatternsHow Does It Grow?

Module 11: Fraction Equivalence and Comparison

Lesson 11.1: Compare Fractions Using Viaula ModelsInvestigate: Building Your Own Number Line
Lesson 11.2: Compare Fractions Using BenchmarksFraction Strips
Lesson 11.6: Compare Fractions Using Common DenominatorsChop It
Lesson 11.7: Use Comparison to Order FractionsAll Kinds of Fractions

Module 12: Relate Fractions and Decimals

Lesson 12.1: Represent Tenths as Fractions and DecimalsA New Way to Write Tenths
Lesson 12.2 Represent Hundredths as Fractions and DecimalsA New Way to Write Hundredths
Lesson 12.3: Identify Equivalent Fractions and DecimalsAre They Equivalent?
Lesson 12.4: Compare DecimalsHow Can You Compare?
Robot Factory
What’s the Order

Module 13: Use Fractions to Understand Angles

Lesson 13.2: Explore AnglesAngle Adventures
Lesson 13.3: Relate Angles to Fraction Part of a CircleThe Spin on Angles
Lesson 13.6: Join and Separate AnglesAngles in Motion

Module 14: Understand Addition and Subtraction of Fractions with Like Denominators

Lesson 14.2: Joining Parts of the Same WholePizza Problems

Module 15: Add and Subtract Fractions and Mixed Numbers with Like Denominators

Lesson 15.1: Add and Subtract Fractions to Solve ProblemsMath Pizzeria

Unit 6: Two-Dimensional Figures and Symmetry

Module 18: Symmetry and Patterns

Lesson 18.3: Generate and Identify Shape PattersHow Does It Grow?

Grade 5

Unit 1: Whole Numbers, Expressions, and Volume

Module 1: Whole Number Place Value and Multiplication

Lesson 1.3: Use a Pattern to Multiply by Multiplies of 10, 100, and 1000Partial Products Everywhere
Monarch Butterflies
All About That Base
Lesson 1.5: Multiply Multi-Digit NumbersHow Do They Compare?

Module 2: Understand Division of Whole Numbers

Lesson 2.4: Use Partial QuotientsEmptying the Water Tank

Module 5: Volume

Lesson 5.2: Understand VolumeWhich is Largest
Lesson 5.3: Estimate VolumePacking the Barge
Lesson 5.6: Find Volume of Composed FiguresPutting it Together
Figures Made of Prisms

Unit 3: Multiplying Fractions and Mixed Numbers

Module 8: Understand Multiplication of Fractions

Lesson 8.1: Explore Groups of Equal Shares to Show MultiplicationInvestigate: Sharing Sandwiches
Investigate: Folding Paper
Lesson 8.2: Represent Multiplication of Whole Numbers by FractionsSharing More Sandwiches
Lesson 8.3: Represent Multiplication with Unit FractionOne Part of One Part
Lesson 8.4: Represent Multiplication of FractionsDance Breaks
Parts of Parts
Making Food
Lesson 8.5: Use Representations of Area to Develop ProceduresOne Part of One Part
Installing Turf
Rows and Columns
Lesson 8.6: Interpret Fraction Multiplication as ScalingChores at Animal Haven
The Re-size-inator
Lesson 8.7: Multiplying FractionsMessy Multiplication

Module 9: Understand and Apply Multiplication of Mixed Numbers

Lesson 9.3: Practice Multiplication with Fractions and Mixed NumbersMessy Multiplication
Applying Fraction Multiplication

Unit 4: Divide Fractions and Convert Customary Units

Module 10: Understand Division with Whole Numbers and Unit Fractions

Lesson 10.1: Interpret a Fraction as DivisionDivision Story Problems
Making Generalizations

Unit 5: Add and Subtract Decimals

Module 13: Decimal Place Value

Lesson 13.1: Understand ThousandthsWhat Is One Thousandth?
Lesson 13.2: Read and Write Decimals to ThousandthsSay What?
Lesson 13.3: Round DecimalsWhich Way Down the Mountain?
Rounding Races
Lesson 13.4: Compare and Order DecimalsInvestigate: Numbers Between Numbers
The Claw
Selling Collectibles

Unit 6: Multiply Decimals

Module 15: Multiply Decimals and Whole Numbers

Lesson 15.1: Understand Decimal Multiplication PatternsPlace Value Patterns
Powers of 10 Parade

Unit 7: Divide Decimals and Convert Customary Units

Module 17: Understand Decimal Division Patterns

Lesson 17.1: Understand Decimal Division PatternsPowers of 10 Parade

Unit 8: Graphs, Patterns, and Geometry

Module 19: Graphs and Patterns

Lesson 19.1: Describe a Coordinate SystemCreating a Coordinate System
Lesson 19.2: Understand Ordered PairsBullseye!
Lesson19.4: Generate and Identify Numerical PattermsCoordinating Satellite Repairs

Grade 6

Unit 1: Number Systems and Operations

Module 1: Integer Concepts

Lesson 1: Identify and Interpret IntegersCan You Dig It?
Lesson 2: Compare and Order Integers on a Number LineOrder in the Class

Module 3: Fraction Division

Lesson 1: Understand Fraction DivisionFlour Planner
Fill the Gap

Module 4: Fluency with Multi-Digit Decimal Operations

Lesson 1: Add and Subtract Multi-Digit DecimalsDishing Out Decimals
Decimal Diagrams and Algorithms
Lesson 4: Divide Multi-Digit DecimalsMovie Time

Unit 2: Ratio and Rate Reasoning

Module 5: Ratio and Rates

Lesson 1: Understand the Concept and Language of RatiosPizza Maker
Lesson 2: Represent Ratios and Rates with Tables and GraphsFruit Lab
Disaster Preparation
Lesson 3: Compare Ratios and RatesModel Trains
Lesson 4: Find and Apply Unit RatesWorld Records
Lesson 5: Solve Ratio and Rate Problems Using Proportional ReasoningWelcome to the Robot Factory
More Soft Serve

Module 6: Apply Ratios and Rates to Measurement

Lesson 2: Use Rate Reasoning to Convert withing Measurement SystemsSoft Serve
Many Measurements

Module 7: Understand, Express, and Compare Percent Ratios

Lesson 1: Understand, Express, and Compare Percent RatiosLucky Duckies

Unit 3: Expressions, Equations, and Inequalities

Module 8: Numerical and Algebraic Expressions

Lesson 3: Write Algebraic Expressions to Model SituationsProducts and Sums

Module 9: Solve Problems Using Equations and Inequalities

Lesson 1: Write Equations to Represent SituationsWeight for It
Five Equations
Lesson 2: USe Additions and Subtraction Equations to Solve ProblemsHanging Around
Hanging It Up
Lesson 3: Use Multiplication and Division Equations to Solve ProblemsHanging Around
Hanging It Up
Lesson 4: Use One-Step Equations to Solve a Variety of ProblemsSwap and Solve
Lesson 5: Write and Graph InequalitiesTunnel Travels

Module 10: Real-World Relationships Between Variables

Lesson 1: Represent Equations in Tables and GraphsSubway Fares
Lesson 2: Write Equations from Verbal DescriptionsSubway Fares

Unit 4: Relationships in Geometry

Module 11: Polygons on the Coordinate Plane

Lesson 4: Find the Perimeter and Area on the Coordinate PlaneShapes on a Plane

Module 12: Area of Triangles and Special Quadrilaterals

Lesson 1: Develop and Use the Formula for Area of ParallelogramsExploring Parallelograms, Part 1
Exploring Parallelograms, Part 2
Off the Grid, Part 1
Lesson 2: Develop and Use the Formula for Area of TrianglesExploring Triangles
Triangles and Parallelograms
Off the Grid, Part 2
Lesson 3: Develop and Use the Formula for Area of TrapezoidsPile of Polygons
Lesson 4: Find Area of Composite FiguresPuzzling Areas
Letters

Module 13: Surface Area and Volume

Lesson 1: Explore Nets and Surface AreaRenata’s Stickers

Unit 5: Data Collection and Analysis

Module 14: Data Collection and Displays

Lesson 2: Display Data in Dot PlotsMinimum Wage
Lesson 3: Make Histograms and Frequency TablesThe Plot Thickens

Module 15: Measure of Center

Lesson 2: Find Measures of CenterToy Cars
Lesson 3: Choose a Measure of CenterHoops

Grade 7

Unit 1: Proportional Relationships

Module 1: Identify and Represent Proportional Relationships

Lesson 1: Explore RelationshipsPaint
Lesson 2: Recognize Proportional Relationships in TablesTwo and Two
Lesson 3: Compute Unit Rates Involving FractionsDinoPops
Lesson 4: Recognize Proportional Relationships in GraphsScale Factor Challenges
Lesson 5: Use Proportional Relationships to Solve Rate ProblemsScaling Robots
Lesson 6: Practice Proportional Reasoning with Scale DrawingsScaling Machines
Make it Scale
Tiles
Will It Fit

Module 2: Proportional Reasoning with Percents

Lesson 1: Percent ChangeMosaics
Percent Machines
Lesson 2: Markups and DiscountsMore and Less
All the Equations
Lesson 3: Taxes and Gratuities100%
Lesson 5: Simple InterestBack in My Day

Unit 2: Rational Number Operations

Module 3: Understand Addition and Subtraction of Rational Numbers

Lesson 1: Add or Subtract a Positive Integer on a Number lineFloats and Anchors
Lesson 3: Use a Number Line to Add and Subtract Rational NumbersDraw Your Own

Module 4: Add and Subtract Rational Numbers

Lesson 1: Compute Sums of IntegersMore Floats and Anchors
Lesson 2: Compute Differences of IntegersMore Floats and Anchors
Lesson 4: Apply Properties to Multi-step Addition and Subtraction ProblemsInteger Puzzles

Unit 3: Model with Expressions, Equations, and Inequalities

Module 7: Solve Problems Using Expressions and Equations

Lesson 1: Write Linear Expressions in Different Forms for Different SituationsCollect the Squares
Lesson 3: Write Two-Step Equations for SituationsKeeping it True
Lesson 5: Apply Two-Step Equations fo Find Angle MeasuresFriendly Angles
Missing Measures

Module 8: Solve Problems Using Inequalities

Lesson 1: Understand and Apply Properties to Solve One-Step InequalitiesI Saw the Signs
Lesson 2: Write Two-Step Inequalities for SituationsUnbalanced Hangers
Shira the Sheep
Lesson 3: Apply Two-Step Inequalities to Solve ProblemsBudgeting
Write Them and Solve Them

Unit 4: Geometry

Module 9: Draw and Analyze Two-Dimensional Figures

Lesson 2: Draw Circles and Other FiguresCan You Build It

Module 10: Analyze Figures to Find Circumference and Area

Lesson 1: Derive and Apply Formulas for CircumferenceMeasuring Around
Lesson 2: Derive and Apply a Formula for the Area of a CircleWhy Pi?
Lesson 4: Areas of Composite FiguresArea Challenges

Unit 5: Sampling and Data Analysis

Module 13: Use Statistics and Graphs to Compare Data

Lesson 3: Compare Means Using MAD and Repeated SamplingCrab Island

Module 14: Understand and Apply Experimental Probability

Lesson 1: Understand Probability of an EventHow Likely
Lesson 2: Find Experimental Probability of Simple EventsProb-bear-bilities

Module 15: Find Theoretical Probability of Simple Events

Lesson 1: Find Theoretical Probability of Simple EventsIs It Fair?

Grade 8

Unit 1: Transformational Geometry

Module 1: Transformations and Congruence

Module 2: Transformations and Similarity

Lesson 1: Investigate Reductions and EnlargementsSketchy Dilations
Lesson 2: Explore DilationsDilation Mini Golf
Lesson 3: Understand and Recognize Similar FiguresSocial Scavenger Hunt

Unit 2: Linear Equations and Applications

Module 3: Solve Linear Equations

Lesson 1: Solve Multi-Step Linear EquationsEquation Roundtable
Lesson 3: Apply Linear Equations

Module 4: Angle Relationships

Lesson 1: Develop Angle Relationships for TrianglesPuzzling It Out
Lesson 3: Explore Prarallel Lines Cut by a TransversalPuzzling It Out

Unit 3: Relationships and Functions

Module 5: Proportional Relationships

Lesson 2: Derive y = mxTurtle Time Trials
Lesson 3: Interpret and Graph Proportional RelationshipsTurtle Time Trials
Lesson 4: Compare Proportional RelationshipsTurtle Time Trials

Module 6: Understand and Analyze Functions

Lesson 1: Understand and Graph FunctionsGuess My Rule
Lesson 2: Derive and Interpret y = mx + bFlags
Translations
Lesson 3: Interpret Rat of Change and Initial ValueStacking Cups (Optional)
Lesson 4: Construct FunctionsWater Cooler
Lesson 5: Compare FunctionsUps and Downs
Lesson 6: Describe and Sketch Nonlinear FunctionsTurtle Crossing
The Tortoise and the Hare

Module 7: Systems of Linear Equations

Lesson 1: Represent Systems by GraphingMake Them Balance
Lesson 2: Solve Systems by GraphingLine Zapper

Unit 4: Statistics and Probability

Module 8: Scatter Plots

Lesson 1: Construct Scatter Plots and Examine AssociationRobots
Dapper Cats
Lesson 2: Draw and Analyze Trend LinesInterpreting Scatter Plots
Find the Fit (called Fit Fights in Desmos Math)
Lesson 3: Interpret Linear Data in ContextInterpreting Slopes
Scatter Plot City
Animal Brains

Module 9: Two-Way Tables

Lesson 1: Construct and Interpret Two-Way Frequency TablesFinding Associations
Lesson 3: Interpret Two-Way Relative Freqency TablesFinding Associations

Unit 5: Real Numbers and the Pythagorean Theorem

Module 10: Real Numbers

Lesson 2: Investigate RootsRoot Down

Module 11: The Pythagorean Theorem

Lesson 1: Prove the Pythagorean TheoremTriangle Tracing Turtle
Lesson 3: Apply the Pythagorean TheoremTaco Truck

Unit 6: Exponents, Scientific Notation, and Volume

Module 12: Exponents and Scientific Notation

Lesson 1: Know and Apply Properties of ExponentsCircles
Power Pairs
Lesson 2: Understand Scientific NotationSpecific and Scientific (formerly Solar System)
Lesson 3: Compute with Scientific NotationBalance the Scale

Module 13: Volume

Lesson 1: Find Volume of CylindersCylinders
Lesson 2: Find Volumes of ConesCones

Algebra 1

Intro/Launch

Unit 1: Real Numbers and Connections to Algebra

Module 2: Linear Equations and Inequalities in One Variable

Lesson 2.2: Write and Solve EquationsWorking Backwards
Solving Strategies
Same Position
Lesson 2.3: Rewrite Formulas and Solve Literal EquationsVarious Variables
Lesson 2.4: Write and Solve InequalitiesPizza Delivery

Unit 2: Linear Functions and Equations

Module 3: Linear Equations in Two Variables

Lesson 3.1: Linear Equations in Standard FormShelley the Snail
Five Representations
Lesson 3.2: Slopes of Lines and Rates of ChangePlane, Train, and Automobile

Module 4: Linear Functions and Models

Lesson 4.3: Characteristics of Linear FunctionsCraft-a-Graph

Module 5: Relationships Among Linear Functions

Lesson 5.3: Compare Linear FunctionsSubway Seats
Lesson 5.4: Inverses of Linear FunctionsChip the Robot

Unit 3: Build Linear Functions and Models

Module 6: Fit Linear Functions to Data

Lesson 6.1: Scatter Plots, Correlation, and Fitted LinesCorrelation Coefficient
How Hot Is It?
City Slopes
Behind the Headlines
City Data
Lesson 6.2: Residualts and Best-Fit LinesResidual Fruit
Penguin Populations

Module 7: Discrete Linear Functions

Lesson 7.1: Arithmetic Sequences Defined RecursivelySequence Carnival
Lesson 7.2: Arithmetic Sequences Defined ExplicitlyMore Visual Patterns

Module 8: Piecewise-Defined Functions

Lesson 8.1: Graph Piecewise-Defined FunctionsPumpkin Prices

Unit 4: Linear Systems

Module 9: Systems of Linear Equations

Lesson 9.1: Solve Linear Systems by GraphingLizard Lines
Lesson 9.2: Solve Linear Systems by SubstitutionShape It Up

Module 10: Linear Inequalities

Lesson 10.2: Graph Systems of Linear InequalitiesQuilts
Seeking Solutions

Unit 5: Exponential Functions and Equations

Module 11: Exponential Functions and Models

Lesson 11.1: Exponential Growth FunctionsCarlos’s Fish

Unit 6: Build Exponential Functions and Models

Module 13: Fit Exponential Functions to Data

Lesson 13.1: Scatter Plots and Fitted Exponential CurvesDetroit’s Population, Part 1
Detroit’s Population, Part 2

Module 14: Discrete Exponential Functions

Lesson 14.1: Geometric Sequences Defined RecursivelySequence Carnival
Lesson 14.2: Geometric Sequences Defined ExplicitlyMore Visual Patterns

Unit 8: Quadratic Functions and Equations

Module 17: Use Graphing and Factoring to Solve Quadratic Equations

Lesson 17.1: Solve Quadratic Equations by Graphing Quadratic FunctionsRevisiting Visual Patterns, Part 1
Quadratic Visual Patterns
On the Fence
Plenty of Parabolas
Lesson 17.3: Solve Quadratic Equations by Factoring ax^2+bx+cStomp Rockets
Two for One
Robot Launch
Lesson 17.4: Use Special Factoring Patterns to Solve Quadratic EquationsParabola Zapper
Shooting Stars

Module 18: Use Square Roots to Solve Quadratic Equations

Lesson 18.2: Solve Quadratic Equations by Completing the SquareSquare Tactic
Lesson 18.3: Use the Quadratic Formula to Solve EquationsStomp Rockets in Space

Unit 9: Function Analysis

Module 20: Function Analysis

Lesson 20.1: Choose Among Linear, Exponential, and Quadratic ModelsSorting Relationships

Unit 10: Data Analysis

Module 22: Numerical Data

Lesson 22.1: Data Distributions and Appropriate StatisticsFinding Desmo

Disclaimer

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Eureka Math²

Level K

Module 1: Counting and Cardinality

Topic A: Classify to Make Categories and Count

Lesson 1: Compare objects based on their attributes.Connecting Cubes
Lesson 3: Classify objects into two categories and count.Skye’s Style

Topic B: Answer How Many Questions with Up to 5 Objects

Lesson 3: Sort by Same ColorMatching Groups

Topic C: Write Numerals and Create Sets of Up to 5 Objects

Lesson 10: Count out a group of objects to match a numeral.Designing Shoes with Skye

Topic E: Answer How Many Questions with Up to 10 Objects

Lesson 19: Organize, count, and represent a collection of objects.Investigate: Cafeteria Math
Lesson 20: Count objects in 5-group and array configurations and match to a numeral.Fingers as Math Tools
Lesson 23: Conserve number regardless of the order in which objects are counted.Moving and Grooving

Module 2: Two- and Three- Dimensional Shapes

Topic A: Analyze and Name Two-Dimensional Shapes

Lesson 1: Find and describe attributes of flat shapes.So Much Sorting
Lesson 2: Classify shapes as triangles or nontriangles.What’s That Shape Called?
Lesson 3: Classify shapes as circles, hexagons, or neither.What’s That Shape Called?
Lesson 4: Classify shapes as rectangles or nonrectangles, with square rectangles as a special case.Another Shape

Module 3: Comparison

Topic C: Compare Sets Within 10

Lesson 12: Relate more and fewer to length.More, Fewer, or the Same
Forest Friends
Lesson 13: Compare sets by using more than, fewer than, and the same number as.Fingers and Counters
Comparing Words

Module 4: Composition and Decomposition

Topic A: Explore Composition and Decomposition

Lesson 1: Compose flat shapes and count the parts.Investigate: Casey’s Town
Lesson 2: Decompose flat shapes and count the parts.How Many Objects?
Lesson 3: Decompose a group to identify parts and total.How Many Objects in Pictures?

Topic B: Record Composition and Decomposition

Lesson 5: Sort to decompose a number in more than one way.How Will You Count?
Lesson 6: Decompose a number in more than one way and record.Harry Explores the Ocean

Module 5: Addition and Subtraction

Topic A: Represent Addition

Lesson 1: Represent add to with result unknown story problems by using drawings and numbers.What Does It Mean to Add?

Topic B: Represent Subtraction

Lesson 8: Understand taking away as a type of subtraction.What Does It Mean to Subtract?

Topic C: Make Sense of Problems

Lesson 15: Identify the action in a problem to represent and solve it.The Bus Depot

Level 1

Module 1: Counting, Comparison, and Addition

Topic A: Count and Compare with Data

Lesson 2: Organize and represent data to compare two categories.Shapes Ying Saw

Module 2: Addition and Subtraction Relationships

Topic A: Reason About Take From Situations

Lesson 1: Represent result unknown problems and record as addition or subtraction number sentences.Packing for a Picnic
Lesson 3: Subtract 1 or subtract 1 less than the total.What’s the Difference?
Leaping Lily Pads!

Topic B: Relate and Distinguish Addition and Subtraction

Lesson 5: Use the Read–Draw–Write process to solve result unknown problems.Investigate: Let’s Grow!
Lesson 6: Represent and solve related addition and subtraction result unknown problems.Tutu’s Garden in Maui
Lesson 7: Count on or count back to solve related addition and subtraction problems.The Kalo Plants

Topic C: Find an Unknown Part in Change Unknown Problems

Lesson 8: Interpret and find an unknown change.Replanting Huli
Lesson 11: Represent and solve take from with change unknown problems.Helping Others
A Community Working Together

Module 3: Properties of Operations to Make Easier Problems

Topic B: Make Easier Problems to Add

Lesson 9: Make ten with either addend.Making 10
Kitten Coaster

Topic D: Reason about Ten as a Unit to Add or Subtract

Lesson 16: Identify ten as a unit.Same Number, Different Ways

Module 5: Place Value Concepts to Compare, Add, and Subtract

Topic A: Grouping Units in Tens and Ones

Lesson 2: Count a collection and record the total in units of tens and ones.Investigate: Game Points
Meeting Yara
Lesson 4: Represent a number in multiple ways by trading 10 ones for a ten.It’s a Match
Lesson 6: Add 10 or take 10 from a two-digit number.How Many Cubes?

Topic D: Addition and Subtraction of Tens

Lesson 15: Count on and back by tens to add and subtract.Boris’s Thimbles
Lesson 16: Use related single-digit facts to add and subtract multiples of ten.How Many Tens?

Level 2

Module 1: Place Value Concepts Through Metric Measurement and Data · Place Value, Counting, and Comparing Within 1,000

Topic A: Representing Data to Solve Problems

Lesson 3: Use information presented in a bar graph to solve put together and take apart problems.Exploring Within 10
Ways to Make 10
Lesson 4: Use information presented in a bar graph to solve compare problems.Awesome Aquariums

Topic C: Estimate, Measure, and Compare Lengths

Lesson 12: Model and reason about the difference in length.Lengths of Jungle Animals

Topic D: Solve Compare Problems by Using the Ruler as a Number Line

Lesson 15: Use a measuring tape as a number line to add efficiently.Investigate: Where Am I?
Time to Line Up!
What’s That Number?
Lesson 17: Represent and solve comparison problems by using measurement contexts.Greater Than, Less Than, or Equal to

Module 2: Addition and Subtraction Within 200

Topic A: Simplifying Strategies for Addition

Lesson 1: Reason about addition with four addends.Investigate: Activities at the Block Party

Module 5: Money, Data, and Customary Measurement

Topic A: Problem Solving with Coins and Bills

Lesson 1: Organize, count, and represent a collection of coins.Discovering Coins (Part 1)
Discovering Coins (Part 2)
Lesson 2: Use the fewest number of coins to make a given value.How Much Money?
Lesson 5: Use different strategies to make 1 dollar or to make change from 1 dollar.The Toy Stand
Lesson 3: Solve one- and two-step word problems to find the total value of a group of coins.The Craft Stand at the Block Party

Topic B: Use Customary Units to Measure and Estimate Length

Lesson 12: Identify unknown numbers on a number line by using the interval as a reference point.In Full Bloom

Topic C: Use Measurement and Data to Solve Problems

Lesson 15: Use measurement data to create a line plot.Messy Measurements
“Lesson 16: Create a line plot to represent data and ask and answer questions.
60 min
Bracelets and Wristbands

Level 3

Module 1: Multiplication and Division with Units of 2, 3, 4, 5, and 10

Topic A: Conceptual Understanding of Multiplication

Lesson 2: Interpret equal groups as multiplication.Equal Groups

Topic C: Properties of Multiplication

Lesson 10: Demonstrate the commutative property of multiplication using a unit of 2 and the array model.Arrays of Flavor

Topic D: Two Interpretations of Division

Lesson 15: Model division as an unknown factor problem.It’s Chili in Here

Module 2: Place Value Concepts Through Metric Measurement

Topic A: Understanding Place Value Concepts Through Metric Measurement

Lesson 1: Connect the composition of 1 kilogram to the composition of 1 thousand.Investigate: Create a Photo Gallery

Topic C: Simplifying Strategies to Find Sums and Differences

Lesson 13: Collect and represent data in a scaled bar graph and solve related problems.Puppy Pile
Lesson 14: Use place value understanding to add and subtract like units.Adding Your Way
Lesson 15: Use the associative property to make the next ten to add.Panda Patterns
Lesson 16: Use compensation to add.How Would You Solve It?

Topic D: Two- and Three-Digit Measurement Addition and Subtraction

Lesson 20: Add measurements using the standard algorithm to compose larger units once.What is an Algorithm?
Using Fewer Digits
Lesson 21: Add measurements using the standard algorithm to compose larger units twice.Determining Sums of 2 or More Addends
Adding Strategically

Module 3: Multiplication and Division with Units of 0, 1, 6, 7, 8, and 9

Topic B: Multiplication and Division Concepts with an Emphasis on the Unit of 7

Lesson 11: Use the break apart and distribute strategy to divide with units of 7.Relating Quotients to Familiar Products
Lesson 12: Solve one-step word problems involving multiplication and division.Division and Multiplication Equations

Module 4: Multiplication and Area

Topic A: Foundations for Understanding Area

Lesson 2: Recognize area as an attribute of polygons.Investigate: Comparing Rugs
Which Covers More Space?
Lesson 3: Tile polygons to find their areas.Tiling Figures
Area Hunt

Topic B: Concepts of Area Measurement

Lesson 6: Tile rectangles with squares to make arrays and relate the side lengths to area.Rectangles and Arrays
Lesson 7: Draw rows and columns to complete a rectangular array and determine its area.Area Hunt

Module 6: Geometry, Measurement, and Data

Topic D: Collecting and Displaying Dat

Lesson 23: Solve problems by creating scaled picture graphs and scaled bar graphs.2, 5, or 10?

Level 4

Module 1: Place Value Concepts for Addition and Subtraction

Topic A: Multiplication as Multiplicative Comparison

Lesson 1: Interpret multiplication as multiplicative comparison.How Does It Grow?

Module 2: Place Value Concepts for Multiplication and Division

Topic E: Factors and Multiples

Lesson 24: Recognize that a number is a multiple of each of its factors.Hamster Homes
Factor or Multiple?
Lesson 25: Explore properties of prime and composite numbers up to 100 by using multiples.A Number Game

Module 4: Foundations for Fraction Operations

Lesson 1: Decompose whole numbers into a sum of unit fractions.

Lesson 1: Decompose whole numbers into a sum of unit fractions.Investigate: Building Your Own Number Line
Lesson 3: Decompose fractions into a sum of fractions.Math Pizzeria
Lesson 4: Represent fractions by using various fraction models.Fraction Strips
Chop It
Lesson 5: Rename fractions greater than 1 as mixed numbers.All Kinds of Fractions

Topic D: Add and Subtract Fractions

Lesson 21: Solve addition and subtraction word problems and estimate the reasonableness of the answers.Pizza Problems

Topic F: Repeated Addition of Fractions as Multiplication

Lesson 32: Multiply a fraction by a whole number by using the associative property.Equal Groups of Fractions

Module 5: Place Value Concepts for Decimal Fractions

Topic A: Exploration of Tenths

Lesson 1: Organize, count, and represent a collection of money.Investigate: Different Units
Lesson 3: Represent tenths as a place value unit.A New Way to Write Tenths
Lesson 4: Write mixed numbers in decimal form with tenths.A New Way to Write Tenths

Topic B: Tenths and Hundredths

Lesson 5: Decompose 1 one and express hundredths in fraction form and decimal form.Are They Equivalent?
Lesson 6: Represent hundredths as a place value unit.A New Way to Write Hundredths
Lesson 7: Write mixed numbers in decimal form with hundredths.A New Way to Write Hundredths

Topic C: Comparison of Decimal Numbers

Lesson 10: Use pictorial representations to compare decimal numbers.How Can You Compare?
Lesson 11: Compare and order decimal numbers.Robot Factory
What’s the Order?

Level 5

Module 1: Place Value Concepts for Multiplication and Division with Whole Numbers

Topic B: Multiplication of Whole Numbers

Lesson 8: Multiply two- and three-digit numbers by two-digit numbers by using the distributive property.Partial Products Everywhere
Lesson 9: Multiply two- and three-digit numbers by two-digit numbers by using the standard algorithm.How Do They Compare?

Topic C: Division of Whole Numbers

Lesson 15: Divide three-digit numbers by two-digit numbers in problems that result in two-digit quotients.Emptying the Water Tank

Module 2: Addition and Subtraction with Fractions

Topic A: Fractions and Division

Lesson 1: Interpret a fraction as division.Investigate: Sharing Sandwiches
Sharing More Sandwiches
Dance Breaks
Lesson 3: Represent fractions as division by using models.Making Generalizations
Lesson 4: Solve word problems involving division and fractions.Division Story Problems

Module 3: Multiplication and Division with Fractions

Topic B: Multiplication of Fractions

Lesson 7: Multiply fractions less than 1 by unit fractions pictorially.Investigate: Folding Paper
Lesson 8: Multiply fractions less than 1 pictorially.Parts of Parts
One Part of One Part
Rows and Columns
Lesson 9: Multiply fractions by unit fractions by making simpler problems.Messy Multiplication
Lesson 10: Multiply fractions greater than 1 by fractions.Making Food
Installing Turf
Lesson 11: Multiply fractions.Applying Fraction Multiplication
Chores at Animal Haven
The Re-size-inator

Module 5: Addition and Multiplication with Area and Volume

Topic C: Volume Concepts

Lesson 17: Find the volume of right rectangular prisms by packing with unit cubes and counting.Which is Largest
Lesson 18: Find the volume of right rectangular prisms by packing with improvised units.Packing the Barge

Topic D: Volume and the Operations of Multiplication and Addition

Lesson 25: Find the volumes of solid figures composed of right rectangular prisms.Putting It Together
Figures Made of Prisms

Level 6

Module 1: Ratios, Rates, and Percents

Topic A: Ratios

Lesson 2: Introduction to RatiosPizza Maker

Topic B: Collections of Equivalent Ratios

Lesson 6: Ratios Tables and Double Number LinesFruit Lab
Lesson 9: Multiplication Patterns in Ratio RelationshipsDisaster Preparation

Topic D: Rates

Lesson 16: SpeedWorld Records
Lesson 17: RatesMany Measurements
Soft Serve
Lesson 18: Comparing RatesWelcome to the Robot Factory
Lesson 19: Unit Rates to Convert UnitsModel Trains
More Soft Serve
Lesson 20: Solving Rate ProblemsLucky Duckies

Module 2: Operations with Fractions and Multi-Digit Numbers

Topic B: Dividing Fractions

Lesson 6: Dividing a Whole Number by a FractionFlour Planner
Lesson 8: Dividing Fractions by Making Common DenominatorsFill the Gap

Topic C: Dividing Fractions Fluently

Lesson 9: Dividing Fractions by Using Tape DiagramsPuzzling Areas

Topic D: Decimal Addition, Subtraction, and Multiplication

Lesson 13: Decimal Addition and SubtractionDishing Out Decimals
Lesson 16: Applications of Decimal OperationsDecimal Diagrams and Algorithms

Topic F: Decimal Division

Lesson 21: Dividing a Decimals by a Whole NumberMovie Time
Lesson 22: Dividing a Decimal by a Decimal Greater than 1Movie Time
Lesson 23: Dividing a Decimal by a Decimal Less than 1Movie Time

Module 3: Rational Numbers

Topic A: Integers and Rational Numbers

Lesson 1: Positive and Negative NumbersCan You Dig It?
Lesson 3: Rational NumbersOrder in the Class

Module 4: Expressions and One-Step Equations

Topic B: Expressions and Real-World Problems

Lesson 9: Addition and Subtraction Expressions from the Real-WorldSubway Fares

Topic C: Equivalent Expressions Using the Properties of Operations

Lesson 13: The Distributive PropertyProducts and Sums

Topic D: Equations and Inequalities

Lesson 17: Equations and SolutionsFive Equations
Lesson 18: Inequalities and SolutionsHanging It Up
Tunnel Travels
Lesson 19: Solving Equations with Addition and SubtractionWeight for It
Lesson 20: Solving Equations with Multiplication and DivisionHanging Around
Lesson 21: Solving Problems with EquationsSwap and Solve

Module 5: Area, Surface Area, and Volume

Topic A: Areas of Polygons

Lesson 1: The Area of a ParallelogramExploring Parallelograms, Part 1
Lesson 2: The Area of a Right TriangleOff the Grid, Part 2
Lesson 3: The Area of a TriangleExploring Parallelograms, Part 2
Off the Grid, Part 1
Lesson 4: Areas of Triangles in Real-World SituationsExploring Triangles

Topic B: Problem Solving with Area

Lesson 5: Perimeter and Area in the Coordinate PlaneShapes on a Plane
Lesson 6: Problem Solving with Area in the Coordinate PlaneLetters
Lesson 7: Areas of Trapezoids and Other PolygonsTriangles and Parallelograms
Lesson 8: Areas of Composite Rigures in Real-World SituationsPile of Polygons

Topic C: Nets and Surface Area

Lesson 12: From Nets to Surface AreaRenata’s Stickers

Module 6: Statistics

Topic A: Understanding Distributions

Lesson 2: Describing a Data DistributionHoops
Lesson 3: Creating a Dot PlotMinimum Wage
Lesson 4: Creating a HistogramThe Plot Thickens

Topic B: Mean and Mean Absolute Deviation

Lesson 7: Using the Mean to Describe CenterToy Cars

Level 7

Module 1: Ratios and Proportional Relationships

Topic A: Understanding Proportional Relationships

Lesson 1: An Experiment with Ratios and RatesPaint
Lesson 2: Exploring Tables and Proportional RelationshipsTwo and Two
Lesson 4: Exploring Graphs of Proportional RelationshipsDinoPops

Topic C: Scale Drawing and Proportional Relationships

Lesson 14: Extreme BicyclesScaling Machines
Lesson 15: Scale DrawingScaling Robots
Lesson 16: Using Scale FactorScale Factor Challenges
Lesson 17: Finding Actual Distances from ScaleMake it Scale
Lesson 18: Relating Areas of Scale DrawingTiles
Will It Fit

Module 2: Operations with Rational Numbers

Topic A: Adding Rational Numbers

Lesson 2: Adding IntegersFloats and Anchors

Topic B: Subtracting Rational Numbers

Lesson 8: Subtracting Integers, Part 1More Floats and Anchors
Lesson 10: Subtracting Rational Numbers, Part 1Draw Your Own

Topic E: Numberical Expressions with Rational Numbers

Lesson 25: Writing and Evaluating Expressions with Rational NumbersInteger Puzzles

Module 3: Expressions, Equations, and Inequalities

Topic A: Equivalent Expressions

Lesson 1: Equivalent ExpressionsCollect the Squares

Topic B: Unknown Angle Measurements

Lesson 7: Angle Relationships and Unknown Angle MeasuresFriendly Angles

Topic C: Solving Equations

Lesson 11: Dominoes and DominoesKeeping it True

Topic D: Inequalities

Lesson 18: Understanding Inequalities and Their SolutionsI Saw the Signs
Lesson 19: Using Equations to Solve InequalitiesUnbalanced Hangers
Lesson 20: Preserving and ReversingShira the Sheep
Lesson 21: Solving Two-Step InequalitiesBudgeting
Lesson 22: Solving Problems Involving InequalitiesWrite Them and Solve Them

Module 4: Geometry

Topic A: Constructing Geometric Figures

Lesson 3: Side Lengths of a TriangleCan You Build It
Lesson 4: Angles of a TriangleFriendly Angles

Topic C: Circumference and Areas of Circles

Lesson 10: The Outside of a CicleMeasuring Around
Lesson 11: The Inside of a CircleWhy Pi?
Lesson 14: Composite Figures with Circular RegionsArea Challenges

Module 5: Percent and Applications of Percent

Topic A: Proportion and Percent

Lesson 3: Percent as a Rate per 100Mosaics
Lesson 4: Proportion and PercentMore and Less

Topic C: More of Less Than 100%

Lesson 10: Percent IncreaseAll the Equations

Topic D: Applications of Percent

Lesson 16: Markups and Discount100%
Lesson 18: Simple Interest – Solving for Unknown ValuesPercent Machines

Topic E: Problems Involving Percent

Lesson 20: Making Money, Day 1Back in My Day

Module 6: Probability and Populations

Topic A: Calculating and Interpreting Probabilities

Lesson 2: Empirical ProbabilityHow Likely
Lesson 4: Theoretical ProbabilityProb-bear-bilities

Topic B: Estimating Probabilities

Lesson 7: The Law of Large NumbersIs It Fair?

Topic C: Random Sampling

Lesson 11: Populations and SamplesCrab Island

Level 8

Module 1: Scientific Notation, Exponents, and Irrational Numbers

Topic A: Introduction to Scientific Notation

Lesson 2: Comparing Large NumbersSpecific and Scientific (formerly Solar System)
Lesson 4: Adding and Subtracting Numbers Written in Scientific NotationBalance the Scale

Topic B: Properties and Definitions of Exponents

Lesson 6: More Properties of ExponentsCircles
Lesson 7: Making Sense of the Exponent 0Power Pairs

Topic D: Perfect Squares, Perfect Cubes, and the Pythagorean Theorem

Lesson 18: The Pythagorean TheoremTriangle Tracing Turtle
Lesson 19: Using the Pythagorean TheoremTaco Truck
Lesson 23: Ordering Irrational NumbersRoot Down

Module 2: Rigid Motions and Congruent Figures

Topic A: Rigid Motion and Their Properties

Lesson 1: Motions in the PlaneTransformers
Moving Day
Lesson 2: TranslationsSpinning, Flipping, Sliding
Moving Day
Lesson 4: Translations and Reflections on the Coordinate PlaneGetting Coordinated, Part 1
Lesson 6: Rotations on the Coordinate PlaneGetting Coordinated, Part 2

Topic B: Rigid Motions and Congruent Figures

Lesson 8: Sequencing the Rigid MotionsTransformation Golf

Topic C: Angle Relationships

Lesson 12: Lines Cut by a TransversalPuzzling It Out

Module 3: Dilations and Similar Figures

Topic A: Dilations

Lesson 1: Exploring DilationsSketchy Dilations
Lesson 3: Reductions and More EnlargmentsDilation Mini Golf

Topic B: Properties of Dilations

Lesson 5: Figures and DilationsSocial Scavenger Hunt

Module 4: Linear Equations in One and Two Variables

Topic A: Linear Equations in One Variable

Lesson 3: Solving Linear Equations with Rational CoefficientsEquation Roundtable

Topic D: Slope of a Line

Lesson 16: Proportional Relationships and SlopeTurtle Time Trials
Lesson 17: Slopes of Rising LinesFlags
Ups and Downs
Lesson 18: Slopes of Falling LinesFlags
Water Cooler
Ups and Downs

Topic E: Different Forms of a Linear Equation

Lesson 20: Slope-Intercept form of the Equation of a LineStacking Cups (Optional)
Lesson 21: Slopes and Parallel LinesTranslations

Module 5: Systems of Linear Equations

Topic A: Solving Systems of Linear Equations Graphically

Lesson 1: Solving Problems with Equations and Their GraphsMake Them Balance

Topic B: Solving Systems of Linear Equations Algebraically

Lesson 6: Solving Systems of Linear Equations without GraphingLine Zapper

Module 6: Functions and Bivariate Statistics

Topic A: Functions

Lesson 1: Motion and SpeedTurtle Crossing
Lesson 2: Definition of a FunctionGuess My Rule

Topic B: Linear and Nonlinear Functions

Lesson 9: Increasing and Decreasing FunctionsThe Tortoise and the Hare

Topic C: Bivariate Numerical Data

Lesson 11: Scatter PlotsRobots
Dapper Cats
Lesson 12: Patterns in Scatter PlotsInterpreting Scatter Plots
Lesson 13: Informally Fitting a Line to DataFind the Fit (called Fit Fights in Desmos Math)
Lesson 14: Determining an Equation of a Line Fit to DataInterpreting Slopes
Lesson 15: Linear ModelAnimal Brains
Lesson 16: Using the Investigative ProcessScatter Plot City
Lesson 17: Analyzing the ModleScatter Plot City

Topic D: Bivariate Categorical Data

Lesson 18: Bivariate Categorical DataFinding Associations

Topic E: Volume

Lesson 22: Volume of a CylinderCylinders
Lesson 23: Volume of ConesCones

Algebra 1

Module 1: Expressions, Equations and Inequalities in One Variable

Lesson 1: The Growing Pattern of DucksMore Visual Patterns
Lesson 8: Solution Sets for Equations and Inequalities in One VariableSame Position
Lesson 9: Solving Linear Equations in One VariableWorking Backwards
Solving Strategies
Lesson 12: Rearranging FormulasSubway Seats
Various Variables
Shelley the Snail
Five Representations
Lesson 13: Solving Linear Inequalities in One VariablePizza Delivery
Lesson 21: Describing Variability in a Univariate Distribution with Standard DeviationFinding Desmo

Module 2: Equations and Inequalities in Two Variables

Lesson 1: Solution Sets of Linear Equations in Two VariablesSubway Seats
Various Variables
Shelley the Snail
Five Representations
Lesson 6: Applications of Linear Equations and InequalitiesSubway Seats
Various Variables
Shelley the Snail
Five Representations
Pizza Delivery
Lesson 8: Systems of Linear Equations in Two VariablesShape It Up
Lizard Lines
Lesson 12: Solution Sets of Systems of Linear InequalitiesQuilts
Lesson 13: Graphing Solution Sets of Systems of Linear InequalitiesSeeking Solutions
Lesson 16: Using Lines to Model Bivariate Quantitative DataCity Data
Lesson 17: Modeling Relationships with a LinePenguin Populations
Lesson 18: Calculating and Analyzing ResidualsResidual Fruit
Lesson 20: Interpreting CorrelationCorrelation Coefficient
How Hot Is It?
City Slopes
Lesson 21: Analyzing Bivariate Quantitative DataBehind the Headlines

Module 3: Functions and Their Representations

Lesson 7: Exploring Key Features of a Function and Its GraphCraft-a-Graph
Lesson 17: Piecewise Linear Functions in ContextPumpkin Prices

Module 4: Quadratic Functions

Topic A: Quadratic Functions and Their GraphsRobot Launch
Lesson 1: Falling ObjectsQuadratic Visual Patterns
Lesson 2: Projectile MotionStomp Rockets
Lesson 3: Analyzing Functions That Model Projectile MotionStomp Rockets in Space
Lesson 4: Graphs of Quadratic FunctionsOn the Fence
Plenty of Parabolas
Lesson 5: Solving Equations that Contain Factored ExpressionsShooting Stars
Lesson 11: Graphing Quadratic Functions from Factored FormTwo for One
Parabola Zapper
Lesson 14: Solving Quadratic Equations by Completing the SquareSquare Tactic
Lesson 27: Search and Rescue HelicopterCity Data

Module 5: Linear and Exponential Functions

Topic A: Arithmetic and Geometric SequencesMore Visual Patterns
Sequence Carnival
Lesson 8: Exponential FunctionsCarlos’s Fish
Topic A: Arithmetic and Geometric SequencesSequence Carnival
Topic A: Arithmetic and Geometric SequencesRevisiting Visual Patterns, Part 1
Lesson 18: Modeling PopulationsSorting Relationships
Lesson 20: Comparing Growth of FunctionsPlane, Train, and Automobile
Sorting Relationships

Module 6: Modeling with Functions

Topic A: Modeling Bivariate Quantitative DataCity Data
Topic B: Developing Models for ContextsDetroit’s Population, Part 1
Detroit’s Population, Part 2

Families and caregivers, welcome to Amplify Desmos Math K–5!

Welcome to the Amplify Desmos Math K–5 Caregiver Hub. We hope your student enjoys exploring math, working with friends to solve problems, and learning new and interesting concepts. And we hope you enjoy the math journey with them! Below are some suggestions and resources for how you can support their learning at home.

Learn more about Amplify Desmos Math.

Para la versión en español, haga clic aquí.

Three children are engaging in a math activity with a grid and orange markers. One child holds a "9-3" card. The background includes beach elements and abstract math symbols.

Caregiver Unit Resources

For every unit of the program, we’ve created a Caregiver Resource that provides a summary of key concepts, plus a problem from the lesson practice set you can work through with your student. You’ll find a Caregiver Resource for each unit, in both English and Spanish.

Unit 1: Math in Our World

Unit 2: Numbers 1–10

Unit 3: Flat Shapes All Around Us

Unit 4: Understanding Addition and Subtraction

Unit 5: Make and Break Apart Numbers Within 10

Unit 6: Numbers 0–20

Unit 7: Solid Shapes All Around Us

Unit 1: Adding, Subtracting, and Working With Data

Unit 2: Addition and Subtraction Story Problems

Unit 3: Adding and Subtracting Within 20

Unit 4: Numbers to 99

Unit 5: Adding Within 100

Unit 6: Measuring Lengths of Up to 120 Length Units

Unit 7: Geometry and Time

Unit 1: Working With Data and Solving Comparison Problems

Unit 2: Adding and Subtracting Within 100

Unit 3: Measuring Length

Unit 4: Addition and Subtraction on the Number Line

Unit 5: Numbers to 1,000

Unit 6: Geometry and Time

Unit 7: Adding and Subtracting Within 1,000

Unit 8: Equal Groups

Unit 1: Introducing Multiplication

Unit 2: Area and Multiplication

Unit 3: Wrapping Up Addition and Subtraction Within 1,000

Unit 4: Relating Multiplication to Division

Unit 5: Fractions as Numbers

Unit 6: Measuring Length, Time, Liquid Volume, and Weight

Unit 7: Two-Dimensional Shapes and Perimeter

Unit 1: Factors and Multiples

Unit 2: Fraction Equivalence and Comparison

Unit 3: Extending Operations to Fractions

Unit 4: From Hundredths to Hundred Thousands

Unit 5: Multiplicative Comparison and Measurement

Unit 6: Multiplying and Dividing Multi-Digit Numbers

Unit 7: Angles and Properties of Shapes

Unit 1: Volume

Unit 2: Fractions as Quotients and Fraction Multiplication

Unit 3: Multiplying and Dividing Fractions

Unit 4: Multiplication and Division With Multi-Digit Whole Numbers

Unit 5: Place Value Patterns and Decimal Operations

Unit 6: More Decimal and Fraction Operations

Unit 7: Shapes on the Coordinate Plane

Unit refresh videos

Unit 1

  • Sub-Unit 2 – Answering the Question “Are There Enough?”
  • Sub-Unit 3 – Counting and Cardinality

Unit 2

  • Sub-Unit 1 – Comparing 2 Groups Using the Terms More, Fewer, and Same
  • Sub-Unit 2 – Counting Objects in Different Orders
  • Sub-Unit 3 – Making Groups to Represent Numerals
  • Sub-Unit 4 – Comparing Written Numbers

Unit 3

  • Sub-Unit 1 – Identifying Circles and Triangles in Different Sizes and Orientations
  • Sub-Unit 2 – Using Positional Words to Describe the Location of Shapes

Unit 4

  • Sub-Unit 1 – Adding and Subtracting Within 10
  • Sub-Unit 2 – Representing Addition and Subtraction Story Problems
  • Sub-Unit 3 – Finding the Values of Expressions

Unit 5

Unit 1

  • Sub-Unit 1 – Organizing Data to Count How Many in Each Category
  • Sub-Unit 2 – Counting on to Add and Counting Back to Subtract
  • Sub-Unit 3 – Representing 2 Categories of Data With Addition Equations

Unit 2

  • Sub-Unit 1 – Representing and Solving Add To, Change Unknown Story Problems
  • Sub-Unit 2 – Using Addition or Subtraction to Find an Unknown Part of a Total Amount
  • Sub-Unit 3 – Solving Compare, Difference Unknown Problems
  • Sub-Unit 4 – Making Sense of Story Problems With Different Questions

Unit 3

  • Sub-Unit 1 – Finding a Difference Using the Relationship Between Addition and Subtraction
  • Sub-Unit 2 – Using the Structure of Teen Numbers to Find Missing Addends
  • Sub-Unit 3 – Breaking Apart Addends to Make 10 When Adding
  • Sub-Unit 4 – Subtracting From Teen Numbers in Parts to Get to 10

Unit 4

  • Sub-Unit 1 – Adding a Ten To and Subtracting a Ten From Multiples of 10
  • Sub-Unit 2 – Representing and Writing Two-Digit Numbers
  • Sub-Unit 3 – Comparing Two-Digit Numbers
  • Sub-Unit 4 – Representing the Same Two-Digit Number With Different Amounts of Tens and Ones

Unit 5

  • Sub-Unit 1 – Adding a Number of Tens or Ones to a Two-Digit Number
  • Sub-Unit 2 – Adding a Two-Digit Number and a One-Digit Number When Composing a Ten is Necessary
  • Sub-Unit 3 – Adding a Two-Digit Number and a Two-Digit Number When Composing a Ten is Necessary

Unit 1

  • Sub-Unit 1 – Choosing Strategies to Add Within 20
  • Sub-Unit 2 – Representing Data in a Picture Graph and Bar Graph
  • Sub-Unit 3 – Finding the Difference Between 2 Categories Shown on a Bar Graph

Unit 2

  • Sub-Unit 1 – Strategies to Solve Story Problems Involving Money
  • Sub-Unit 2 – Decomposing a Ten When Subtracting by Place
  • Sub-Unit 3 – Making Sense of Story Problems About Comparing That Use the Word More
  • Sub-Unit 4 – Making Sense of One- and Two-Step Story Problems

Unit 3

  • Sub-Unit 1 – Measuring the Length of an Object in Centimeters Using a Ruler
  • Sub-Unit 2 – Measuring Objects in Inches and Feet
  • Sub-Unit 3 – Representing Measurement Data on a Line Plot

Unit 4

  • Sub-Unit 1 – Locating Numbers on Number Lines
  • Sub-Unit 2 – Representing Addition and Subtraction Strategies on a Number Line

Unit 5

  • Sub-Unit 1 – Composing Hundreds to Represent Three-Digit Numbers
  • Sub-Unit 2 – Comparing Three-Digit Numbers

Unit 1

  • Sub-Unit 1 – Representing Equal-Groups Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing Arrays With Multiplication Equations
  • Sub-Unit 3 – Representing Data Using Scaled Bar Graphs

Unit 2

  • Sub-Unit 1 – Determining the Area of a Rectangle Using Counting and Skip Counting
  • Sub-Unit 2 – Determining the Area of a Rectangle Using Multiplication
  • Sub-Unit 3 – Decomposing to Determine the Area of Rectilinear Figures

Unit 3

  • Sub-Unit 1 – Using the Expanded Form and Partial Sums Algorithms to Add
  • Sub-Unit 2 – Using the Expanded Form Algorithm to Subtract
  • Sub-Unit 3 – Rounding Numbers to the Nearest Hundred and Ten Using Number Lines
  • Sub-Unit 4 – Representing and Solving Two-Step Story Problems Involving Multiplication

Unit 4

  • Sub-Unit 1 – Representing Division Situations With Equal-Groups Drawings
  • Sub-Unit 2 – Representing an Equal-Groups Problem With a Division and Multiplication Equation
  • Sub-Unit 3 – Using the Distributive Property of Multiplication to Multiply a One-Digit Number by a Teen Number
  • Sub-Unit 4 – Decomposing Dividends to Divide

Unit 5

  • Sub-Unit 1 – Writing Unit and Non-Unit Fractions
  • Sub-Unit 2 – Locating Non-Unit Fractions on the Number Line
  • Sub-Unit 3 – Identifying Equivalent Fractions
  • Sub-Unit 4 – Comparing Fractions With the Same Denominator or Same Numerator

Unit 1

  • Sub-Unit 1 – Using Factor Pairs to Determine All the Possible Side Lengths of a Rectangle With a Given Area
  • Sub-Unit 2 – Finding Multiples and Common Multiples

Unit 2

  • Sub-Unit 1 – Locating Fractions with Different Denominators On the Same Number Line
  • Sub-Unit 2 – Using Multiples or Factors to Determine Equivalent Fractions
  • Sub-Unit 3 – Comparing Fractions Using Equivalent Fractions With Common Denominators

Unit 3

  • Sub-Unit 1 – Adding and Subtracting Fractions with the Same Denominator
  • Sub-Unit 2 – Multiplying Whole Numbers and Fractions
  • Sub-Unit 3 – Adding Fractions with Denominators of 10 and 100

Unit 4

  • Sub-Unit 1 – Writing Fractions With Denominators of 10 and 100 as Decimals
  • Sub-Unit 2 – Relationships Between Place Values in Multi-Digit Whole Numbers
  • Sub-Unit 3 – Comparing Multi-Digit Numbers
  • Sub-Unit 4 – Using the Standard Algorithm to Subtract When Decomposing is Required

Unit 5

  • Sub-Unit 1 – Representing Multiplicative Comparison Situations
  • Sub-Unit 2 – Converting Measurements in the Metric System
  • Sub-Unit 3 – Comparing Measurements

Unit 1

  • Sub-Unit 1 – Using the Layered Structure of a Rectangular Prism to Determine the Volume
  • Sub-Unit 2 – Determining the Volume of a Rectangular Prism
  • Sub-Unit 3 – Determining the Volume of Figures Composed of Rectangular Prisms

Unit 2

  • Sub-Unit 1 – Representing Equal-Sharing Story Problems with Fractional Quotients
  • Sub-Unit 2 – Representing Fractions with Equivalent Multiplication and Division Expressions
  • Sub-Unit 3 – Determining the Area of a Rectangle With a Fractional Side Length

Unit 3

  • Sub-Unit 1 – Representing Multiplication of 2 Unit Fractions with Diagrams
  • Sub-Unit 2 – Dividing Whole Numbers by Unit Fractions

Unit 4

  • Sub-Unit 1 – Multiplying Multi-digit Whole Numbers Using the Partial Products and Standard Algorithms
  • Sub-Unit 2 – Dividing Multi-Digit Whole Numbers Using Partial Quotients
  • Sub-Unit 3 – Representing Multi-Step Story Problems with Equations

Unit 5

  • Sub-Unit 1 – Comparing Decimals
  • Sub-Unit 2 – Using the Standard Algorithms to Add and Subtract Decimals
  • Sub-Unit 3 – Multiplying a Whole Number and a Decimal Using the Distributive Property
  • Sub-Unit 4 – Dividing Whole Numbers by Decimals Less Than 1

Access Amplify Desmos Math at home.

In addition to a print Student Edition workbook, your student will have digital access to all learning, practice, and assessment materials through the Amplify platform. The digital curriculum can be accessed in school and at home by following these instructions:

  • Click the Amplify Desmos Math button.
  • Select Log in with Amplify.
  • Enter your student’s username and password provided by your student’s teacher.
  • Select the desired grade level.

Once logged in, caregivers can view student work by opening previous assignments.

Learn how to navigate the student home page.

Materials overview

Amplify Desmos Math supports blended learning with supporting print materials and a unique digital experience. All K–5 lessons are available in a write-in Student Edition book. Many of the lessons include hands-on activities with manipulatives, tools that help students understand abstract concepts by making them tangible. Your student will also work with digital devices for an age-appropriate number of lessons.

When students use devices, teachers can monitor their work in real time, making sure they get the exact support that they need at every part of the lesson, in and outside of class.

Una interfaz digital que muestra los nombres anónimos de los estudiantes y su estado de participación en diversas actividades. La interfaz incluye opciones para realizar resúmenes, capturas de pantalla y vistas individuales de los estudiantes.

Components of a lesson

Students in an Amplify Desmos Math classroom can be seen (and heard!) asking questions, debating answers, justifying their thinking, grappling with problems, and working together and independently.

A typical Amplify Desmos Math lesson includes:

  • Warm-up: A short, attention-getting problem to pique students’ interest in the lesson.
  • Activities: One to two mini-activities that challenge students’ problem-solving skills.
  • Synthesis: Discussion to review and bring together the important concepts from the lesson.
  • Show What You Know and Reflection: Questions for students to show what they know from the lesson. (Note: The Show What You Know lesson assessment is optional for kindergarten and grade 1.)
  • Centers: Student-led activity stations that reinforce the math learned during lesson activities through interactive and often game-like formats. In kindergarten and grade 1, time for Centers is built into the last 15 minutes of every lesson.

To support, strengthen, and stretch students’ learning after the lesson, Amplify Desmos Math offers options for:

  • Differentiation: Mini-Lessons, Centers, Extensions, Boost Personalized Learning, and Fluency Practice.
  • Practice: Additional problems your student’s teacher may assign for classwork or homework.

Support math learning at home.

You can support your student’s math learning outside of school in many ways:

Your student’s teacher may assign practice problems at the end of each lesson for classwork or homework. If your student has already completed the practice problems for the lesson, ask them to walk you through how they solved each problem, or talk about any parts that were challenging for them. Ask your student follow-up questions to encourage the use of math language as they explain their thinking, such as, “How do you know?,” “How can you show your thinking?,” or “How would you describe that?” If students are stuck, ask support questions, such as, “What information do you know here?” or “How could you represent this problem?”

Your student’s teacher may introduce a Center game with students in the lesson or beyond the lesson. These games are aligned to the math of the unit and can be played with students outside of class. Your student’s teacher may introduce a Center game to students during or after completing a lesson, or you may need to teach the game before you play by using easy-to-follow instructions. Sign up for a free account to explore Centers and additional K–5 content in our Featured Collections.

Each unit in Amplify Desmos Math begins with a read-aloud story to engage students and provide context for the math of the unit. Elements and characters from the Unit Story then appear in lessons throughout the unit.

Kindergarten

Grade 1

Grade 2

Grade 3

Grade 4

Grade 5

Relate math to daily activities at home, whether grocery shopping, preparing a meal, or planning for a trip to the store. Your student can help you figure out how many more apples there are than oranges in the grocery cart, show how to split a sandwich into fourths, or figure out how much change you’ll receive in exchange for a $10 bill. Encourage your student to point out ways that you use math in your daily tasks.

Remind your student that getting stuck is part of the process and a necessary—beneficial, even!—part of learning. Many students (and adults) fear making mistakes. But research shows that making mistakes helps our brains grow. When your student gets stuck on a problem, encourage them to keep trying different strategies, even if they’re not sure if they are right.

Get more information.

Have a question about Amplify Desmos Math? Visit our help library to search for articles with answers to your program questions. For additional support, please contact your student’s teacher.

The next chapter in the Science of Reading

Introducing Amplify CKLA 3rd Edition, a K–5 core literacy program within Amplify’s literacy suite. For more than a decade, Amplify CKLA has transformed classrooms nationwide with its intentional knowledge building and systematic skills instruction. Available for the 2025–2026 school year, the 3rd Edition builds on this successful foundation to better support all students in becoming confident readers, writers, and thinkers. Together, let’s write the next chapter in the Science of Reading.

An astronaut floats in space near the Moon, with a speech bubble displaying

Amplify CKLA serves

150,000+

Classrooms

4,000,000+

Students

50

U.S. States and D.C.

Our approach

Improve outcomes with a program built on a decade of research, and that meets the strongest ESSA Tier I criteria.

Diagram illustrating the Simple View of Reading model, depicting language comprehension and word recognition pathways converging into skilled reading, with processes becoming increasingly strategic and automatic—a foundational concept in literacy curriculum for elementary education.

Grounded in the Science of Reading

As the original Science of Reading program, Amplify CKLA puts research into action with explicit, systematic foundational skills instruction and a proven knowledge-building sequence. In collaboration with education experts and practitioners, we provide powerful resources that deliver real results.

Background knowledge drives results

Amplify CKLA follows the Core Knowledge Sequence, a content-specific, cumulative, and coherent approach to knowledge building. This approach improves reading scores and closes achievement gaps by establishing a robust knowledge base that strengthens comprehension.

In Amplify CKLA 3rd Edition, we’ve enriched our Knowledge Sequence with a wider range of perspectives and high-quality texts in new and enhanced units.

An infographic showing the steps to pronounce

Build foundational skills for long-term success.

Students progress from simple to complex skill development starting with phonological and phonemic awareness. Instruction in Grades K–2 explicitly teaches the 150 spellings for the 44 sounds of English, following an intentional progression to ensure student success.

In our 3rd Edition, we’ve added dedicated Grades 3–5 foundational skills instruction that can either support core lessons or function as an intervention, based on student needs.

Daily writing deepens learning.

Grounded in the Science of Writing—the research on how kids learn to write—instruction is explicit, daily, and woven into the curriculum’s rich content. It covers both transcription (handwriting and spelling) and composition (organizing ideas into narratives) with high-impact activities like sentence-level combining and expanding, and pre-writing exercises. Writing and reading instruction are integrated so students simultaneously strengthen their communication skills, comprehension, and confidence.

A child in a green shirt smiles while writing in a notebook at a classroom desk, engaged in their k–5 literacy curriculum, with another student visible in the background.
An open laptop displaying a children's story titled

High-quality, diverse texts

Amplify CKLA students are immersed in a variety of texts—complex read-alouds, decodable chapter books, trade books, and content-rich readers—that reflect varied experiences and connect to learning goals.

Readers are 100% decodable for Grades K–2, empowering students to directly apply what they’ve learned. Novel Study units for Grades 3–5 offer a mix of contemporary and classic literature, and Culminating Research Units in every grade include a set of authentic texts and trade books.

Reach all learners with differentiated support.

Scaffolds and challenges, developed in collaboration with education experts, make content available to every student—including multilingual and English learners. With strategies embedded right in the curriculum, teachers can deliver in-the-moment, individualized instruction to meet all student needs.

For a dedicated English language development program aligned to Amplify CKLA, explore Language Studio.

Children sit on the floor in a classroom, some raising their hands, smiling and engaged. The lively atmosphere reflects the effectiveness of the k–5 literacy curriculum being implemented.

What’s included

The comprehensive resources in Amplify CKLA 3rd Edition support effective literacy instruction in every classroom.

Image of a laptop displaying an assessment report, surrounded by books about astronomy, an illustration of the moon, and a
Various educational materials, including textbooks, workbooks, a picture book, documents, and a laptop displaying a slide titled

Easy-to-use teacher materials

Amplify CKLA teachers are empowered to deliver effective instruction with the following print and digital resources:

  • Teacher Guides (K–5)
  • Assessment Guides (K–5)
  • Authentic texts and trade books (K–5)
  • Knowledge Image Cards (K–2)
  • Knowledge Flip Books (K–2, digital)
  • Ready-made and customizable Presentation Screens (K–5, digital)
  • Remediation and intervention resources (K–5)
  • On-demand professional development (K–5, digital)

Immersive Amplify CKLA student resources

Amplify CKLA students stay engaged with the following print and digital resources:

  • Decodable readers (K–2)
  • Student Readers and novels (3–5)
  • Student Activity Books (K–5)
  • Poet’s Journal and Writer’s Journal (3–5)
  • eReaders (K–5, digital)
  • Sound Library featuring articulation videos and songs (K–2, digital)
  • Assignable Practice Games (K–5)
An open laptop displaying a poem and a person, alongside two educational booklets and a green butterfly, depicts the essence of a rich core knowledge language arts curriculum. The background includes simple graphic elements enhancing the scene.
A collection of six book covers including

Rich literary experiences

All of the high-quality, diverse texts in Amplify CKLA connect to the curriculum, fostering your students’ curiosity and helping them learn to read with confidence.

  • Trade Book Collections (K–5) inspire student research in each grade’s Culminating Research Unit.
  • Classic and contemporary literature (3–5) delight students in Novel Study Units.
  • Increasingly complex Student Readers (K–5) develop students’ literacy across grades.

Hands-on phonics materials

Multisensory phonics and foundational skills resources engage students with fun, varied approaches that promote mastery and build independence.

  • Chaining Folders and Small Letter Cards (K)
  • Read-Aloud Big Books (K–1)
  • Large Letter Cards (K–2)
  • Sound Cards (K–2)
  • Image Cards (K–3)
  • Blending Picture Cards (K)
  • Consonant and Vowel Code Posters and Spelling Cards (1–2)
  • Sound Library (K–2, digital)
Image includes various vowel sounds and combinations on flashcards and worksheets, along with a playful illustrated mammal, all part of a comprehensive literacy curriculum for elementary students.

All-in-one digital platform

Our comprehensive platform simplifies your day-to-day tasks and makes it easier to plan and deliver lessons.

  • Ready-made and customizable Presentation Screens
  • Auto-scored digital assessments
  • Standards-based reporting
  • Assignable Practice Games
  • Sound Library
  • eReaders

Professional Development

Move beyond traditional program training with Amplify’s digital PD Library, designed to fully support your shift to the Science of Reading and Amplify CKLA. Deepen your understanding with:

  • Program and planning resources
  • Model lesson videos from real classrooms
  • Guidance on using Amplify’s literacy suite to provide multi-tiered support
Two women are seated at a table with papers and a laptop. One woman is working on the literacy curriculum for elementary grades, while the other is smiling.

Ready to continue your learning journey?

We also offer live, tailored professional learning sessions by expert partners to expand your Science of Reading expertise, strengthen implementation, and improve student outcomes.

“Teachers love the ease of implementing the program, and students have fun while learning. Growth is evident in our data, and we have the support of Amplify experts who are available to answer questions and provide top-notch professional development.”

Bridget Vaughan, District K–8 Coordinator of ELA and Literacy

Quincy Public Schools, Massachusetts

A circular flow chart titled

A true Science of Reading early literacy suite for Grades K–5

Amplify has combined the critical elements of a Science of Reading system: assessment, core curriculum, personalized learning, and intervention. Based on 20 years of experience with the Science of Reading, this complete system saves you time and aligns your literacy practices.

  • Assess with mCLASS®: A universal and dyslexia screener, powered by DIBELS 8th Edition
  • Instruct with Amplify CKLA: Core curriculum to build foundational skills and knowledge
  • Practice with Boost Reading™: Personalized learning program to extend and reinforce core
  • Intervene with mCLASS Intervention: Staff-led Tier 2 and 3 intervention for intensive support
“There were other programs that claimed to be [based on the] Science of Reading, but no other vendor provided the suite of products together. We did not want to be picking from here, picking from there. [Amplify’s literacy suite] met our needs, because it aligned and provided us the best suite of products, hands down.”

Nicole Peterson, Principal, Midway Middle School

Sampson County Schools, North Carolina

Language Studio: Multilingual and English language learner support

Language Studio is Amplify CKLA’s dedicated K–5 program for multilingual and English language learners. Through daily 30-minute lessons, it strengthens reading, writing, speaking, and listening skills while reinforcing core instruction. This tailored support empowers students to confidently access grade-level content as they develop academic English.

A young girl immerses herself in the science of reading at a classroom desk, surrounded by peers and diverse educational materials.

Explore more programs in Amplify’s literacy and biliteracy suite.

All of the programs in our literacy suite and our biliteracy suite are designed to support and complement each other. Learn more about our related programs:

Math Teacher Lounge episode: Howie Hua on making math viral

K—12 math instruction has come a long way from having students memorize times tables. Thanks to innovative instructors like Howie Hua, it’s gone all the way to TikTok. And it’s gone viral. 

Bethany Lockhart Johnson and Dan Meyer recently talked to Howie Hua on Math Teacher Lounge—now a podcast!

Meet Howie Hua

Howie Hua is a lecturer at Fresno State. He teaches math to future elementary math teachers. That’s a good thing, because he doesn’t just make math “come alive.” He makes it go viral. 

He has more than 32,000 followers on TikTok (@howie_hua), where his brief, punchy math explainer videos have garnered nearly 500,000 likes. 

That’s why Bethany Lockhart Johnson was so excited to talk to him on the podcast, she says. “He is inviting us to think about how we ask questions in mathematics in ways that get people buzzing. His ideas and thoughts have gone viral and people are in conversation in a way that we long for them to be, out in the streets shouting about mathematics.”

(Fun fact: Hua can also throw a rifle 15 feet in the air, do a back flip, and catch it. Don’t believe us? Check out his TikTok.)

Questions are as important as answers

“I think people don’t want to watch a 20-minute YouTube video on something math-related. Maybe they just want a short one-minute explainer,” says Hua. 

Even in one minute, Hua shines new light on math functions and concepts—and more. 

“People want to understand what’s actually happening,” says Hua. “For example, I got so many nice comments when I explained the long division algorithm. I said, ‘Let’s visualize it.’ It’s not just connecting the permutation and the combination formulas. People want to know what’s happening rather than just ‘Use this formula to get an answer.’”

Dan Meyer shares a couple of Hua’s most popular TikToks: 

  • Test Talk: Reduce test anxiety by having students talk in a group about a test for five minutes before putting pencil to paper. 
  • How do you calculate … ? In his Mental Math Mondays series, Hua asks viewers to tell him exactly how they solve a given arithmetic problem. “One of my favorite hobbies is to listen to how people think about math,” says Hua. “So if you want to make my day, comment or stitch this video with how you would calculate 17 plus 18 in your head.”

Hua says that to ask “Hey, how would you think about this?” does more than give him insight. Asking questions helps build community, and shows people that there are many ways to arrive at an answer. 

Says Hua: “It really goes to show that math is a creative subject. ‘Hey, can we find another way? What’s another way that we can do this?’ I tell my students, the beauty is in us, not the final answer.” 

Join the challenge

Here’s Hua’s Math Teacher Lounge challenge for this episode: 

  1. Walk around and find something that you can count, take a picture, and then ask around: “Hey, how would you count these?”  See if their way is the same as yours—or if it blows your mind.
  2. Share your pictures and thoughts by tagging us (@MTLShow) and Howie (@Howie_Hua) on Twitter, and sharing them in the Math Teacher Lounge Facebook group as well. 

Bonus: Did you do the daily Wordle before you read this post? You might have learned something about teaching math—listen to the podcast to find out why (and to hear why on earth Dan Meyer would start his guesses with “PYGMY”)

The Math Teacher Lounge podcast is available on all major streaming platforms and on mathteacherlounge.com. Math Teacher Lounge is presented by Amplify and Desmos. Visit Amplify’s website to find out more about Amplify Math. 

Amplify ELAR Skills and Amplify SLAR Habilidades y Destrezas are on the IMRA-approved list!

Thank you for taking the time to review Amplify’s English and Spanish Phonics programs for Texas. This site will allow you to easily access grade-level teacher and student resources that are IMRA approved.  Final program materials will be updated in March of 2025.  Simply click the program you wish to review below to get started.

TEXAS ELAR K–3 SKILLS

TEXAS SLAR K–2 HABILIDADES Y DESTREZAS

Why do so many districts choose Amplify ELAR/SLAR Texas?

Ilustración que presenta seis paneles diversos con niños en diversas actividades: jugando adentro, bailando, en otoño, en la nieve del invierno, relajándose bajo un árbol y en la playa.

Watch a quick overview before exploring!

ELAR/SLAR Skills Overview Video

Amplify Texas ELAR Skills K–3

Grade K

Grade 1

Grade 2

Grade 3

Amplify Texas SLAR Habilidades y
Destrezas K–2

Grado K

  • Year at a Glance
  • Curriculum Maps / Mapa curricular: Habilidades y Destrezas
  • Bilingual Planning Tools
  • Writing Evaluation Rubric
  • Pacing Guides / Guía de clases
  • Essential program materials
    • Image Cards / Tarjetas de imágenes
    • Large Letter Cards / Tarjetas grandes de letras
    • Small Letter Cards / Tarjetas pequeñas de letras
    • Vocabulary Book – Teacher Guide / Libro de vocabulario: Guía del maestro
    • Vocabulary Book – Activity Book / Libro de vocabulario: Cuaderno del estudiante

Grado 1

  • Year at a Glance
  • Curriculum Maps / Mapa curricular: Habilidades y Destrezas
  • Bilingual Planning Tools
  • Writing Evaluation Rubric
  • Pacing Guides / Guía de clases
  • Essential K–2 program materials
    • Image Cards / Tarjetas de imágenes
    • Large Letter Cards / Tarjetas grandes de letras
    • Vocabulary Book – Teacher Guide / Libro de vocabulario: Guía del maestro
    • Vocabulary Book – Activity Book / Libro de vocabulario: Cuaderno del estudiante

Grado 2

  • Year at a Glance
  • Curriculum Maps / Mapa curricular: Habilidades y Destrezas
  • Bilingual Planning Tools
  • Fluency Packet / ​​Paquete de fluidez: Guía del maestro
  • Writing Evaluation Rubric
  • Pacing Guides / Guía de clases
  • Essential K–2 program materials
    • Image Cards / Tarjetas de imágenes
    • Large Letter Cards / Tarjetas grandes de letras
    • Vocabulary Book – Teacher Guide / Libro de vocabulario: Guía del maestro
    • Vocabulary Book – Activity Book / Libro de vocabulario: Cuaderno del estudiante
    • Cursive Activity Book

High-Quality Professional Development

Amplify’s South Central professional development (PD) team provides a variety of learning experience over multiple years to incrementally develop and apply the knowledge and skills needed for effective and self-sustaining implementation.  All PD is tailored to align to the Amplify Texas edition, support TEKS-aligned instruction, and is supported by a team of former educators and leaders with Texas experience.

You will find embedded professional development support in the program, including an extensive and responsive PD Library.

Watch this video to learn more about the PD Library!

Amplify Texas Professional Development Site

Welcome, Michigan Committee for Literacy Achievement!

We’re excited to share everything you need to critically evaluate Amplify CKLA 3rd Edition, our K–5 core literacy program. On this site, you’ll find a range of materials and literacy tools, including Reviewer Resources and Teaching Materials (Teacher Guides, Activity Books, and Student Readers) organized by grade and unit.

We hope you find the site helpful. We welcome your thoughts and questions!

Reviewer resources

Key bid documents:

Overview and program resources:

Alignment and scope and sequence:

Curriculum maps by grade:

Kindergarten

Explore all available resources for Kindergarten, organized by strand and unit.

Knowledge Strand

Unit 1: Star Light, Star Bright: Nursery Rhymes and Fables

Unit 2: See, Hear, Smell, Taste, Touch: The Five Senses

Unit 3: Underdogs and Heroes: Stories

Unit 4: See How They Grow: Plants

Unit 5: Moo, Cluck, Oink: Farms

Unit 6: Deep Roots: Introduction to Native American Cultures

Unit 7: All Around the World: Geography

Unit 8 (Choice): Royal Tales: Monarchs

Unit 8 (Choice): National Icons: Presidents and American Symbols

Unit 9 (Choice): Our Planet: Taking Care of the Earth

Unit 9 (Choice): Rain and Rainbows: Seasons and Weather

Unit 10: Shaped by Nature: Art and the World Around Us

Skills Strand

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Unit 6

Unit 7

Unit 8

Unit 9

Unit 10

Ancillary Components

 

Grade 1

Explore all available resources for Grade 1, organized by strand and unit.

Knowledge Strand

Unit 1: The Moral of the Story: Fables and Tales

Unit 2: From Nose to Toes: How Your Body Works

Unit 3: Common Threads: Different Lands, Similar Stories

Unit 4: Reach for the Stars: Astronomy

Unit 5: Charting the World: Geography

Unit 6: A World of Homes: Animals and Habitats

Unit 7: A New Nation: American Independence

Unit 8 (Choice): Once Upon a Time: Fairy Tales

Unit 8 (Choice): Our Planet: The History of the Earth

Unit 9 (Choice): From Babylon to the Nile: Early World Civilizations

Unit 9 (Choice): Early Americas: Maya, Aztec, and Inca

Unit 10: Adventure Stories: Tales from the Edge

Skills Strand

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Unit 6

Unit 7

Ancillary Components

 

Grade 2

Explore all available resources for Grade 2, organized by strand and unit.

Knowledge Strand

Unit 1: Fortunes and Feats: Fairy Tales and Tall Tales

Unit 2: The Birthplace of Democracy: Ancient Greece

Unit 3: Legends and Heroes: Greek Myths

Unit 4: Our Planet: Cycles in Nature

Unit 5: Butterflies, Bees, and Beetles: Insects

Unit 6: A House Divided: The American Civil War

Unit 7: Sounds and Stanzas: Poetry

Unit 8 (Choice): Journeys to America: Immigration

Unit 8 (Choice): Making a Difference: Creating Change

Unit 9 (Choice): Building Blocks: All About Nutrition

Unit 9 (Choice): Early Asian Civilizations: India and China

Unit 10: Taking Flight: The Age of Aviation

Skills Strand

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Unit 6

Ancillary Components

   

Grade 3

Explore all available resources for Grade 3, organized by unit.

Unit 1: Timeless Tales: Classic Stories

Unit 2: Fur, Fins, and Feathers: Animal Classification

Unit 3: Rhythm and Rhyme: Poetry

Unit 4: Rise and Fall: Ancient Rome

Unit 5: Our Solar System and Beyond: Astronomy

Unit 6: Regions and Cultures: Native Americans

Unit 7 (Choice): Novel Study: Charlotte’s Web

Unit 7 (Choice): Novel Study: Stella Díaz Has Something to Say

Unit 8 (Choice): Systems and Senses: The Human Body

Unit 8 (Choice): From Glow to Echo: Light and Sound

Unit 9: From Blues to Bebop: All That Jazz

Ancillary Components

Grade 4

Explore all available resources for Grade 4, organized by unit.

Unit 1: My Story, My Voice: Personal Narratives

Unit 2: Knights and Castles: Europe’s Middle Ages

Unit 3: Meaning and Metaphor: Poetry

Unit 4: Eureka! Student Inventor

Unit 5: Our Planet: Geology

Unit 6: Road to Independence: The American Revolution

Unit 7 (Choice): Novel Study: From the Mixed-Up Files of Mrs. Basil E. Frankweiler

Unit 7 (Choice): Novel Study: The Season of Styx Malone

Unit 8 (Choice): Crafting Stories: A World of Tales

Unit 8 (Choice): Adventure on the High Seas: Treasure Island

Unit 9: Inspiration and Ingenuity: American Innovation

Ancillary Components

Grade 5

Explore all available resources for Grade 5, organized by unit.

Unit 1: In My Own Words: Personal Narratives

Unit 2: Early Americas: Maya, Aztec, and Inca

Unit 3: Visions in Verse: Poetry

Unit 4: A Knight’s Tale: Don Quixote

Unit 5: The Deep Blue World: Oceans

Unit 6: Cultures and Histories: Native Americans

Unit 7 (Choice): Novel Study: The Phantom Tollbooth

Unit 7 (Choice): Novel Study: The Science of Breakable Things

Unit 8 (Choice): Arts and Culture: The Renaissance

Unit 8 (Choice): Through the Forest: A Midsummer Night’s Dream

Unit 9: Building Up the World: Global Architecture

Ancillary Components

Skills Supplement (Grades 3-5)

These supplementary units for Grades 3-5 reinforce and build on K-2 foundational skills instruction.

Unit 1

Unit 2

Unit 3

Unit 4

   

Digital platform

In the 2025-26 school year, Amplify CKLA’s all-in-one platform will offer essential tools that streamline instruction for teachers and engage students with meaningful content. Teachers can plan and deliver lessons efficiently, while students can access assignments, assessments, and fun practice games.

A digital interface showing an assessment report on a monitor and a multiple-choice question on a tablet screen. Both screens display educational content from Amplify's assessment tools, providing personalized learning for multilingual learners.

Presentation Screens
Deliver interactive lessons with ready-made, customizable slides for every lesson.

Auto-scored digital assessments
Assess vocabulary, comprehension, and knowledge development at the end of each K–2 Knowledge and 3–5 Integrated Unit.

Standards-based reports
Identify strengths and growth areas for individuals, small groups, or your entire class. Interactive dashboards offer detailed results from assessments and activities.

Skill-building practice games
Engage students with interactive games that reinforce concepts and make learning fun. Powered by Boost Reading™, these games align with lessons and provide real-time feedback.

eReader
Students access texts, take notes, and use audio-enabled eReaders to enhance their reading experience.

Sound Library
Students watch articulation videos and listen to songs for each sound to support phonological awareness.

Vocab App
Helps students in Grades 3–5 practice Amplify CKLA Tier 2 vocabulary words with fun, interactive games.

Intervention Toolkit
Offers user-friendly resources designed to aid educators in identifying and addressing deficiencies in students’ foundation skills.

Program support resources

Additional program resource documents:

Welcome, Ohio Department of Education and Workforce!

Amplify CKLA 3rd Edition builds on the principles and instruction of previous editions to provide better-than-ever support for teaching and learning. The focus continues on delivering evidence-based instruction across a system of multi-tiered supports aligned with the Science of Reading and Writing.

We’re excited to share this site, where you’ll find a range of materials and literacy tools including Reviewer Resources and Teaching Materials (Teacher Guides, Activity Books, and Student Readers) organized by grade and unit.

We welcome your thoughts and questions!

Reviewer resources

Alignment and scope and sequence

Core Comprehensive English Language Arts:

Core Foundational Skills:

Curriculum maps

Core Comprehensive English Language Arts:

Core Foundational Skills:

Kindergarten

Explore all available resources for Kindergarten, organized by strand and unit.

Core Comprehensive English Language Arts

Unit 1: Star Light, Star Bright: Nursery Rhymes and Fables

Unit 2: See, Hear, Smell, Taste, Touch: The Five Senses

Unit 3: Underdogs and Heroes: Stories

Unit 4: See How They Grow: Plants

Unit 5: Moo, Cluck, Oink: Farms

Unit 6: Deep Roots: Introduction to Native American Cultures

Unit 7: All Around the World: Geography

Unit 8 (Choice): Royal Tales: Monarchs

Unit 8 (Choice): National Icons: Presidents and American Symbols

Unit 9 (Choice): Our Planet: Taking Care of the Earth

Unit 9 (Choice): Rain and Rainbows: Seasons and Weather

Unit 10: Shaped by Nature: Art and the World Around Us

Core Foundational Skills

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Unit 6

Unit 7

Unit 8

Unit 9

Unit 10

Ancillary Components

 

Grade 1

Explore all available resources for Grade 1, organized by strand and unit.

Core Comprehensive English Language Arts

Unit 1: The Moral of the Story: Fables and Tales

Unit 2: From Nose to Toes: How Your Body Works

Unit 3: Common Threads: Different Lands, Similar Stories

Unit 4: Reach for the Stars: Astronomy

Unit 5: Charting the World: Geography

Unit 6: A World of Homes: Animals and Habitats

Unit 7: A New Nation: American Independence

Unit 8 (Choice): Once Upon a Time: Fairy Tales

Unit 8 (Choice): Our Planet: The History of the Earth

Unit 9 (Choice): From Babylon to the Nile: Early World Civilizations

Unit 9 (Choice): Early Americas: Maya, Aztec, and Inca

Unit 10: Adventure Stories: Tales from the Edge

Core Foundational Skills

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Unit 6

Unit 7

Ancillary Components

 

Grade 2

Explore all available resources for Grade 2, organized by strand and unit.

Core Comprehensive English Language Arts

Unit 1: Fortunes and Feats: Fairy Tales and Tall Tales

Unit 2: The Birthplace of Democracy: Ancient Greece

Unit 3: Legends and Heroes: Greek Myths

Unit 4: Our Planet: Cycles in Nature

Unit 5: Butterflies, Bees, and Beetles: Insects

Unit 6: A House Divided: The American Civil War

Unit 7: Sounds and Stanzas: Poetry

Unit 8 (Choice): Journeys to America: Immigration

Unit 8 (Choice): Making a Difference: Creating Change

Unit 9 (Choice): Building Blocks: All About Nutrition

Unit 9 (Choice): Early Asian Civilizations: India and China

Unit 10: Taking Flight: The Age of Aviation

Core Foundational Skills

Unit 1

Unit 2

Unit 3

Unit 4

Unit 5

Unit 6

Ancillary Components

   

Grade 3

Explore all available resources for Grade 3, organized by unit.

Core Comprehensive English Language Arts

Unit 1: Timeless Tales: Classic Stories

Unit 2: Fur, Fins, and Feathers: Animal Classification

Unit 3: Rhythm and Rhyme: Poetry

Unit 4: Rise and Fall: Ancient Rome

Unit 5: Our Solar System and Beyond: Astronomy

Unit 6: Regions and Cultures: Native Americans

Unit 7 (Choice): Novel Study: Charlotte’s Web

Unit 7 (Choice): Novel Study: Stella Díaz Has Something to Say

Unit 8 (Choice): Systems and Senses: The Human Body

Unit 8 (Choice): From Glow to Echo: Light and Sound

Unit 9: From Blues to Bebop: All That Jazz

Ancillary Components

Supplemental Skills Units

Grade 3 Supplemental Skills units are included in core classroom kits, although the instruction isn’t required for Grade 3 standards coverage.

Unit 1

Unit 2

Unit 3

Unit 4

 

Grade 4 Core Comprehensive ELA

Explore all available resources for Grade 4, organized by unit.

Unit 1: My Story, My Voice: Personal Narratives

Unit 2: Knights and Castles: Europe’s Middle Ages

Unit 3: Meaning and Metaphor: Poetry

Unit 4: Eureka! Student Inventor

Unit 5: Our Planet: Geology

Unit 6: Road to Independence: The American Revolution

Unit 7 (Choice): Novel Study: From the Mixed-Up Files of Mrs. Basil E. Frankweiler

Unit 7 (Choice): Novel Study: The Season of Styx Malone

Unit 8 (Choice): Crafting Stories: A World of Tales

Unit 8 (Choice): Adventure on the High Seas: Treasure Island

Unit 9: Inspiration and Ingenuity: American Innovation

Ancillary Components

Grade 5 Core Comprehensive ELA

Explore all available resources for Grade 5, organized by unit.

Unit 1: In My Own Words: Personal Narratives

Unit 2: Early Americas: Maya, Aztec, and Inca

Unit 3: Visions in Verse: Poetry

Unit 4: A Knight’s Tale: Don Quixote

Unit 5: The Deep Blue World: Oceans

Unit 6: Cultures and Histories: Native Americans

Unit 7 (Choice): Novel Study: The Phantom Tollbooth

Unit 7 (Choice): Novel Study: The Science of Breakable Things

Unit 8 (Choice): Arts and Culture: The Renaissance

Unit 8 (Choice): Through the Forest: A Midsummer Night’s Dream

Unit 9: Building Up the World: Global Architecture

Ancillary Components

Digital platform

In the 2025-26 school year, Amplify CKLA’s all-in-one platform will offer essential tools that streamline instruction for teachers and engage students with meaningful content. Teachers can plan and deliver lessons efficiently, while students can access assignments, assessments, and fun practice games.

Presentation Screens
Deliver interactive lessons with ready-made, customizable slides for every lesson.

Auto-scored digital assessments
Assess vocabulary, comprehension, and knowledge development at the end of each K–2 Knowledge and 3–5 Integrated Unit.

Standards-based reports
Identify strengths and growth areas for individuals, small groups, or your entire class. Interactive dashboards offer detailed results from assessments and activities.

Skill-building practice games
Engage students with interactive games that reinforce concepts and make learning fun. Powered by Boost Reading™, these games align with lessons and provide real-time feedback.

eReader
Students access texts, take notes, and use audio-enabled eReaders to enhance their reading experience.

Sound Library
Students watch articulation videos and listen to songs for each sound to support phonological awareness.

Vocab App
Helps students in Grades 3-5 practice Amplify CKLA Tier 2 vocabulary words with fun, interactive games.

Intervention Toolkit
Offers user-friendly resources designed to aid educators in identifying and addressing deficiencies in students’ foundation skills.

Program support resources

Additional program resource documents:

Slow but steady: K–2 reading readiness climbs just 1–2 percentage points annually.

With just over half of young readers on track and year-over-year gains flattening, the latest research brief underscores the urgency of data-driven instruction:

  • 57% of K–2 students overall are on track to learn to read.
  • Year-over-year improvement from 2024–25 to 2025–26 ranged from zero to two percentage points across grades K–2; the youngest students made the most progress.
  • Middle-of-year data is uniquely positioned to help schools plan for instructional changes and implement those changes before the following school year. See our recommendations for schools and districts concerned about changing literacy outcomes.
An adult helps a child read a book at a table. The child is writing, and the adult is smiling. The setting resembles a classroom, with windows in the background.

Explore Amplify’s middle-of-year research brief.

Bar chart showing the percent of kindergarten students on track by year, ranging from 38% to 57%, with the highest value at 57% and the lowest at 38%.

Kindergarten at middle-of-year

57% of kindergarten students are on track to learn to read, two percentage points higher than 2024–25. Read more about how early reading recovery has stalled and what steps to take.

Read More

Bar chart showing the percent of Grade 1 students on track, with values 58, 44, 48, 52, 54, 55, and 56 percent, all below 60%.

First grade at middle-of-year

56% of first grade students are on track to learn to read, one percentage point higher than 2024–25. Read more about how early reading recovery has stalled and what steps to take.

Read More

Bar chart showing the percent of Grade 2 students on track, ranging from 52% to 60%, with an upward trend peaking at 58%.

Second grade at middle-of-year

58% of second grade students are on track to learn to read, no change from 2024–25. Read more about how early reading recovery has stalled and what steps to take.

Read More

Research briefs by school year

October 2024

BOY: Summer instructional loss highlights the importance of quality core instruction for the youngest grades.

Read the brief

October 2025

BOY: More students start the school year on track for learning to read, though momentum is slow.

Read the brief

February 2025

MOY: Early literacy gains offer hope for COVID recovery, though broader literacy challenges persist nationwide.

Read the brief

February 2026

MOY: Slow but steady: K–2 reading readiness climbs just 1–2 percentage points annually.

Read the brief

July 2025

EOY: Reading scores rise overall; gender disparities present a complex picture.

Read the brief

Read more research and case studies.

Amplify’s high-quality programs benefit millions of students every day using methods that are evidence-based, ESSA-aligned, and showing efficacy in a variety of contexts. Read more research and case studies and see more briefs on early literacy.

Welcome, Salem-Keizer School District, to the next chapter in the Science of Reading, with Amplify CKLA 3rd Edition!

Amplify Core Knowledge Language Arts® (CKLA) is approved by the Oregon Department of Education. 

Truly built on the Science of Reading, Amplify CKLA helps Oregon teachers implement the Oregon English Language Arts and Literacy Standards by translating the science of reading into manageable, engaging, and effective classroom practices. For more than a decade, Amplify CKLA has transformed classrooms nationwide with its intentional knowledge building and systematic skills instruction.

Scroll down to learn how CKLA is uniquely designed to help all your students make learning leaps in literacy.

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Our approach

Improve outcomes with a program that’s built on a decade of research and meets the strongest ESSA Tier I criteria.

Diagram illustrating the Simple View of Reading model, depicting language comprehension and word recognition pathways converging into skilled reading, with processes becoming increasingly strategic and automatic—a foundational concept in literacy curriculum for elementary education.

Grounded in the Science of Reading

As the original Science of Reading program, Amplify CKLA puts research into action with explicit, systematic foundational skills instruction and a proven knowledge-building sequence. In collaboration with education experts and practitioners, we provide powerful resources that deliver real results.

Background knowledge drives results

Amplify CKLA follows the Core Knowledge Sequence, a content-specific, cumulative, and coherent approach to knowledge building. This approach improves reading scores and closes achievement gaps by establishing a robust knowledge base that strengthens comprehension.

In Amplify CKLA 3rd Edition, we’ve enriched our Knowledge Sequence with a wider range of perspectives and high-quality texts in new and enhanced units.

An illustrated person in a yellow shirt looks at a colorful map of Puerto Rico. Above them are two educational posters about world geography and animals, integrating elements from the k–5 literacy curriculum to enhance learning experiences.
An infographic showing the steps to pronounce

Build foundational skills for long-term success.

Students progress from simple to complex skill development starting with phonological and phonemic awareness. Instruction in Grades K–2 explicitly teaches the 150 spellings for the 44 sounds of English, following an intentional progression to ensure student success.

In our 3rd Edition, we’ve added dedicated Grade 3 foundational skills instruction that can either support core lessons or function as an intervention, based on student needs.

Daily writing deepens learning.

Grounded in the Science of Writing—the research on how kids learn to write—instruction is explicit, daily, and woven into the curriculum’s rich content. It covers both transcription (handwriting and spelling) and composition (organizing ideas into narratives) with high-impact activities like sentence-level combining and expanding, and pre-writing exercises. Writing and reading instruction are integrated so students simultaneously strengthen their communication skills, comprehension, and confidence.

A child in a green shirt smiles while writing in a notebook at a classroom desk, engaged in their k–5 literacy curriculum, with another student visible in the background.
An open laptop displaying a children's story titled

High-quality, diverse texts

Amplify CKLA students are immersed in a variety of texts—complex read-alouds, decodable chapter books, trade books, and content-rich readers—that reflect varied experiences and connect to learning goals.

Readers are 100% decodable for Grades K–2, empowering students to directly apply what they’ve learned. Novel Study units for Grades 3–5 offer a mix of contemporary and classic literature, and Culminating Research Units in every grade include a set of authentic texts and trade books.

Reach all learners with differentiated support.

Scaffolds and challenges, developed in collaboration with education experts, make content accessible to every student—including multilingual and English learners. With strategies embedded right in the curriculum, teachers can deliver in-the-moment, individualized instruction to meet diverse student needs.

For a dedicated English language development program aligned to Amplify CKLA, explore Language Studio.

Children sit on the floor in a classroom, some raising their hands, smiling and engaged. The lively atmosphere reflects the effectiveness of the k–5 literacy curriculum being implemented.

What’s included with Amplify CKLA

The comprehensive resources in Amplify CKLA 3rd Edition support effective literacy instruction in every classroom.

Image of a laptop displaying an assessment report, surrounded by books about astronomy, an illustration of the moon, and a
Various educational materials, including textbooks, workbooks, a picture book, documents, and a laptop displaying a slide titled

Easy-to-use teacher materials

Amplify CKLA teachers are empowered to deliver effective instruction with the following print and digital resources:

  • Teacher Guides (K–5)
  • Assessment Guides (K–5)
  • Authentic texts and trade books (K–5)
  • Knowledge Image Cards (K–2)
  • Knowledge Flip Books (K–2, digital)
  • Ready-made and customizable Presentation Screens (K–5, digital)
  • Remediation and intervention resources (K–5)
  • On-demand professional development (K–5, digital)

Immersive Amplify CKLA student resources

Amplify CKLA students stay engaged with the following print and digital resources:

  • Decodable readers (K–2)
  • Student Readers and novels (3–5)
  • Student Activity Books (K–5)
  • Poet’s Journal (3–5)
  • eReaders (K–5, digital)
  • Sound Library featuring articulation videos and songs (K–2, digital)
  • Skill-building practice games (K–5)
An open laptop displaying a poem and a person, alongside two educational booklets and a green butterfly, depicts the essence of a rich core knowledge language arts curriculum. The background includes simple graphic elements enhancing the scene.
A collection of six book covers including

Rich literary experiences

All the high-quality, diverse texts in Amplify CKLA connect to the curriculum, fostering your students’ curiosity and helping them learn to read with confidence.

  • Trade Book Collections (K–5) inspire student research in each grade’s Culminating Research Unit.
  • Classic and contemporary literature (3–5) delight students in Novel Study Units.
  • Increasingly complex Student Readers (K–5) develop students’ literacy across grades.

Hands-on phonics materials

Multisensory phonics and foundational skills resources engage students with fun, varied approaches that promote mastery and build independence.

  • Chaining Folders and Small Letter Cards (K)
  • Read-Aloud Big Books (K–1)
  • Large Letter Cards (K–2)
  • Sound Cards (K–2)
  • Image Cards (K–3)
  • Blending Picture Cards (K)
  • Consonant and Vowel Code Posters and Spelling Cards (1–2)
  • Sound Library (K–2, digital)
Image includes various vowel sounds and combinations on flashcards and worksheets, along with a playful illustrated mammal, all part of a comprehensive literacy curriculum for elementary students.
A laptop displays a student screen showing a quiz question about word usage, part of a literacy curriculum for elementary students. Behind it, a computer monitor shows an assessment report interface. Abstract decorative elements are in the background.

All-in-one digital platform

Our comprehensive platform simplifies your day-to-day tasks and makes it easier to plan and deliver lessons.

  • Ready-made and customizable Presentation Screens
  • Auto-scored digital assessments
  • Standards-based reporting
  • Assignable skill-building games
  • Sound Library
  • eReaders

Professional development

Move beyond traditional program training with Amplify’s digital PD Library, designed to fully support your shift to the Science of Reading and Amplify CKLA. Deepen your understanding with:

  • Program and planning resources
  • Model lesson videos from real classrooms
  • Guidance on using Amplify’s literacy suite to provide multi-tiered support
Two women are seated at a table with papers and a laptop. One woman is working on the literacy curriculum for elementary grades, while the other is smiling.
“Teachers love the ease of implementing the program, and students have fun while learning. Growth is evident in our data, and we have the support of Amplify experts who are available to answer questions and provide top-notch professional development.”

Bridget Vaughan, District K–8 Coordinator of ELA and Literacy

Quincy Public Schools, Massachusetts

Language Studio: Multilingual and English language learner support

Language Studio is Amplify CKLA’s dedicated K–5 program for multilingual and English language learners. Through daily 30-minute lessons, it strengthens reading, writing, speaking, and listening skills while reinforcing core instruction. This tailored support empowers students to confidently access grade-level content as they develop academic English.

A young girl immerses herself in the science of reading at a classroom desk, surrounded by peers and diverse educational materials.

Amplify CKLA serves

150,000+

Classrooms

4,000,000+

Students

50

U.S. States and D.C.

Amplify Caminos program overview

¡El futuro es bilingüe! | The future is bilingual!

Amplify Caminos is a research-based core curriculum essential for Spanish literacy and grounded in the Science of Reading.

View our Caminos Program Guide to find our approach to foundational skills by year, skills practice with student readers and writing, and how Caminos supports teachers meeting the needs of all students with embedded differentiation.

Amplify Caminos offers a robust and authentic elementary Spanish language arts program for grades K–5 that promotes
biliteracy and helps teachers inspire students as they become confident readers, writers, and thinkers in Spanish.

Amplify Caminos offers a robust and authentic elementary Spanish language arts program for grades K–5 that promotes
biliteracy and helps teachers inspire students as they become confident readers, writers, and thinkers in Spanish.

Ilustración de un niño alegre participando en el programa de lectura de CKLA, jugando fútbol junto a un libro abierto, con una tortuga, un loro y un exuberante paisaje tropical rodeándolos. La palabra "

Using the program’s two strands, Caminos Conocimiento and Caminos Lectoescritura, teachers develop student
comprehension in Spanish through a program rich in background knowledge and foundational skills activities. The texts students encounter include authentic Spanish literature that honor Spanish language development and build diverse content knowledge in social studies, science, literature, and the arts.

Amplify Caminos is designed to support a variety of bilingual and dual language instructional models to meet your student’s biliteracy needs. Combined with its English language partner, Amplify Core Knowledge Language Arts (CKLA), Amplify Caminos provides a comprehensive biliteracy solution.

Illustration of the amplify caminos language comprehension model, featuring step-by-step progression from simple word recognition to skilled reading, with educational graphics and text excerpts.

Amplify Caminos delivers rich, authentic experiences.

With a robust digital experience and expanding library of online materials, Amplify Caminos provides everything needed to support, challenge, and engage your students. From digital Teacher Guides to lesson projectables, we provide all the tools needed to successfully deliver every lesson.

How Amplify Caminos works with Amplify CKLA

Through direct instruction, both Amplify Caminos and Amplify CKLA develop reading, writing, speaking, and listening skills in their respective languages. Together, the programs empower educators to effectively foster biliteracy with:

  • Intentional knowledge building that connects topics throughout the program.
  • Increased metalinguistic awareness from students exploring the similarities and differences in each language while strengthening their knowledge across both.
  • Equitable instruction using high-quality Spanish and English decodable readers that provide students with opportunities to apply skills learned, and foster each students’ growing competency in reading.
“There were other programs that claimed to be [based on the] Science of Reading, but no other vendor provided the suite of products together. We did not want to be picking from here, picking from there. [Amplify’s literacy suite] met our needs, because it aligned and provided us the best suite of products, hands down.”

Nicole Peterson, Principal, Midway Middle School

Sampson County Schools, North Carolina

Demo Access

Explore the CKLA Teacher Digital Resources

First, watch the quick navigation video to the right. Then, follow the directions below.

  • Go to: learning.amplify.com or click the Access CKLA Teacher Digital button below
  • Select Log in with Amplify.
  • Enter this username: t1.salem_keizer_3e_cam@demo.tryamplify.net
  • Enter this password: Amplify1-salem_keizer_3e_cam
  • Click the CKLA button
  • Select your desired grade level from the Program drop down

Follow the directions below to access the Student Resource Site:

  • Go to: learning.amplify.com or click the Access CKLA Student Digital button below
  • Select Log in with Amplify.
  • Enter this username: s1.salem_keizer_3e_cam@demo.tryamplify.net
  • Enter this password: Amplify1-salem_keizer_3e_cam
  • From the main page, click the backpack in the top right corner.
  • Click on the grade level to select your desired grade.

S2-02: Developing your own teaching style: Tips from a veteran teacher.

Poster for "Science Connections" podcast with an image of Marilyn Dieppa, featuring a logo of an atom and text promoting season 2, episode 2 about veteran teaching styles.

In this episode, Eric Cross sits down with veteran educator and former Miami-Dade County Public Schools (M-DCPS) Middle School Science Teacher of the Year, Marilyn Dieppa. During the show, Marilyn shares tips for new teachers, ways to inspire students, and how she utilizes her journalism background to develop literacy skills within her science classroom. She also shares her experiences developing a robotics academy, and the VEX IQ World’s Competition. Explore more from Science Connections by visiting our main page.

Download Transcript

Marilyn Dieppa (00:01):
I think my favorite thing is their success. Whether it’s robotics, whether it’s in the classroom, that they pass a test for the first time, those are my moments of success. And that’s what makes me happy.

Eric Cross (00:15):
Marilyn Dieppa is a veteran middle-school science educator at Miami-Dade County public schools. Dieppa launched her school’s STEM Academy in 2016 and developed professional development through the STEM Transformation Institute of Florida International University. Dieppa’s coached numerous new teachers and was the 2018 Miami-Dade County public schools’ middle-school Science Teacher of the Year. In this episode, we discussed her transition from a career in journalism to the science classroom and the value of personal and professional support systems for teacher longevity. And now, please enjoy my conversation with Marilyn Dieppa.

Marilyn Dieppa (00:52):
Nice to meet you, Eric.

Eric Cross (00:53):
Nice to meet you too. Thank you for being willing to come on the podcast.

Marilyn Dieppa (00:58):
Not a problem.

Eric Cross (00:59):
So you’re out in, you’re out in Florida. In Dade County. I’m out here in San Diego. So I’m like literally on the other side of the country. Have you—were you born and raised in Florida?

Marilyn Dieppa (01:09):
I’ve been here for 40 years, so I’ve been here most of my life. Yeah. I’m Puerto Rican, but I was, you know, my young childhood, I was in New Jersey. And then when I was 15, I came down.

Eric Cross (01:23):
I looked at like your—some of your accolades, which are really impressive. The things that you’ve done for students with robotics, and all the education, or, kind of like teacher enrichment, a lot of mentoring and coaching that you do now.

Marilyn Dieppa (01:35):
I am part of leadership team for the district. I do a lot of training. I work on curriculum. I help with pacing guides to make sure that everything is based on what the state wants, what the district wants. I have done a lot for the district in the last, probably 20 years.

Eric Cross (01:52):
What got you into teaching initially? What was your…like, why middle school science? We’re like a unique group.

Marilyn Dieppa (01:57):
This is the second career choice for me. So I’ve only been doing this for 24 years. I was a journalism major and then I got married and then I had my child and I wanted to do something. My thing was that I wanted to go to Iraq. I wanted to cover the news. I have a minor in Middle Eastern culture. so there was a lot of things that were in my mind when I was young, pre-married. and after, you know, you have children, priorities kind of change. So I totally changed, pretty much had to start from scratch, with my degree, because nothing kind of transferred over from journalism to teaching. So before I actually did that, I started subbing just to see if I liked it. And I fell in love with teaching right away. And that’s how I got into it. So my degree is really in elementary.

Eric Cross (02:45):
Now, when you were subbing, you were doing elementary school.

Marilyn Dieppa (02:47):
Yes. Pretty much elementary.

Eric Cross (02:48):
How did you go from there to like, middle-school science?

Marilyn Dieppa (02:50):
My thing was writing, not necessarily math and science. But I ended up with my cooperating teacher, my CT, she was a math and science teacher. So I was put with her, and who knew that I liked science and I liked math? So I ended up with that and I infused a lot of labs. So in elementary you tend to—I think teachers are a little bit afraid of the labs, so I infused a lot of literature with my labs. I infused all my—I did it like a whole-group type thing, everything I did with my labs, I incorporated the math. I incorporated the science. I incorporated, you know, the reading with it. And from there, I just—you know, they ended up putting me in a lot of leadership roles with science. And then my principal was opening up the school where I’m at now, my former principal. And she, you know, she took me with her. And so her dissertation was in looping, on how following your students, did that really make a difference in test scores? So I was part of her like test study, and I had students that I followed for two years in a row. And she would look at data and that was part of her dissertation. So that really made a difference. So I ended up moving with my students and my first group of middle-school students, I had them for four years.

Eric Cross (04:10):
Oh, wow.

Marilyn Dieppa (04:10):
And that was—those were my children. I, like, boohooed when they left. And I ended up, you know, literally following them from fourth grade all the way to more than four years. Because it was all the way until they left eighth grade.

Eric Cross (04:21):
What did you think of that model of looping with students?

Marilyn Dieppa (04:24):
I think it’s a great model, depending on the kids that you have. I love, you know, the school that I’m at. I’m very blessed, because it’s a great school. It’s really a wonderful school. I’ve had really good relationships with students. They always come back, and they always come back when they wanna tell me that they’re in something in science, right? They’re an engineer or they’re a nurse, or they’re, you know, doctors at this point. So I’ve seen a little bit of everything with my students. And it’s very rewarding.

Eric Cross (04:52):
That’s super-exciting, right? When they come back and they’re either telling you about their college major or what career they’re in. And I like to recruit them at that point and ask them to come talk to my students. Because Google photos gives you unlimited storage, if you have a teacher account, I actually have photos of students from like 10 years ago.

Marilyn Dieppa (05:09):
Oh, wow.

Eric Cross (05:10):
And I’ll put their middle school picture next to their—and then their current picture.

Marilyn Dieppa (05:14):
Oh, that’s awesome. I’ve never done that.

Eric Cross (05:17):
Yeah. You could see, like, they could see the younger version of them.

Marilyn Dieppa (05:19):
And it’s funny because even with the STEM Academy, which I have now, I have the same group of kids for three years. So I’ve had already few groups that have gone by, and those kids come back to me, they come back to our competitions, they help out, you know, they’re very integrated with the robotics. So I’m getting those students back as well. So I’ve maintained that relationship with them as well.

Eric Cross (05:46):
How do you develop your own classroom management style? How did you figure out where your—where you fit and what works for you? What was your process like for that?

Marilyn Dieppa (05:55):
You know what I think, just by teaching, teaching them to respect. And one thing that I’ve developed that—I don’t scream in my classroom; I just talk to the kids. I have very good one-on-one communication with them. I show them respect. I treat them as an equal.

Eric Cross (06:12):
And what grade are you teaching currently?

Marilyn Dieppa (06:14):
Eighth grade. So I do science. I teach high school science. I teach comprehensive, which is like our regular students. I have kids who are inclusion. I have kids that are ESL. So I teach all, you know, dynamics of students. And then I have the academy, which is something separate. But I infuse a lot of physics and of course that they need in order for them to be competitive.

Eric Cross (06:38):
So tell me about that. What is the STEM Academy?

Marilyn Dieppa (06:40):
It is an enrichment program. So it is an advanced enrichment program, because they do follow like the math enrichment. so they have to be really good at math in order for them to be accepted into the program. So, one day we got like a grant, and we got a little robot, the VEX. I don’t know if you’re familiar with VEX. I know it’s big in California. So I was told, “Here, this is for you. See what you can do with it.” So I started with an after-school club, the following year. It kind of hit off. We went to our first little competition. The kids did really well. And then the following year, they told me, “Hey, we need an academy, make it happen.” So it’s not like I had a curriculum. I kind of do my own thing. But we do a lot of different types of things. Our big portion is the VEX, but I also do sec me, we do Future City. We do a whole bunch of competitions within the district. You know, Math Bowl. So I get my kids prepared for anything that really has to do competitive-based. I do that with those students.

Eric Cross (07:38):
What age range or which grade range?

Marilyn Dieppa (07:40):
Sixth to eighth. We have kids who stay the three years and then we have kids that after, you know, sometimes it’s more the parents that want them to be part of the engineering. but sometimes we lose kids after the first year and you know, that’s fine because we wanna really have kids who really wanna be there and are, you know, committed to it. Because there’s a lot of commitments to that program.

Eric Cross (08:01):
Those types of programs, there’s so many like outside-of-the-classroom things that you need to take care of. If you’re going to competitions, and weekends, and all those types of things. Is there a team of teachers that are doing this or is it just you?

Marilyn Dieppa (08:10):
Team of one! .

Eric Cross (08:11):
A team of one! Right? Like, yeah. And how long have you been running this yourself?

Marilyn Dieppa (08:16):
This is probably like my sixth year.

Eric Cross (08:19):
OK.

Marilyn Dieppa (08:20):
So we’ve been very successful. That program is totally inquiry. It’s totally on them. I don’t know how to use a little, you know, remote control. I don’t know how to do anything. I’m there for troubleshoot and to make sure that they’re on task, but they have been very successful because I do put everything on them. And I go, “It’s not my robot. This is your robot.” So they build everything

Eric Cross (08:40):
And that seems to be the theme, especially with, a lot of times, with science teachers. And encouraging them to say, “You don’t have to be the expert in everything.” Teachers tend to be more like risk-taking and innovative when they’re willing to like, not have to be—I don’t have to know everything in order to do something.

Marilyn Dieppa (08:54):
Exactly. So we’ve been very successful. Very proud of my students because you know, we’ve, gone to Worlds twice. We’ve qualified three times in the six years. Actually, I had two teams that went last year.

Eric Cross (09:07):
What is, what is Worlds? That sounds like a big deal.

Marilyn Dieppa (09:10):
It’s a huge thing. And it’s teams from all over the world. You can actually look it up online. It’s—from this year, there were teams, although they said China was not gonna be in there, there were actually some teams from China. There were teams from New Zealand. There were teams from South Africa, the UK, a lot of teams from, from Europe. And then there are teams from here. We are the host country. We’ve been the host country for a while. But it’s amazing. The first time we went, the first team that we were paired up with was a Russian team. So, you know, there was Google Translate and the kids—and it’s, they didn’t need to know the same language because they communicated with the robots. So it was really amazing. They work collaboratively. So it’s not like a battle box. So they work two teams together and whatever, they both get together, they both earn the same points. So it teaches leadership, and there’s so much more to it than just a robot. They have to know how to communicate, because they do get interviewed. They do online challenges. It’s so many things. It’s just—I think it’s one of the best things that our district has really invested in, because these kids are so into it, and they love it so much. For the last year and this year I have the same kids that are in the robotics. I’m also gonna be teaching them physical science. So I have to teach them that separation between what we’re doing in our science classes versus what they’re doing in the class. So there has to be a separation. So they see one side of me in this class where it’s very laid back. It’s very chill. No, no, you, you guys do it. There’s no sitting down. It’s like organized chaos, I call it all the time. But then in the classroom, it has to be a little bit more organized.

Eric Cross (10:53):
Is that something that, as far as getting the parts—like people do, like, GoFundMes and donations and Donors Choose. Can you—

Marilyn Dieppa (11:00):
We get grant money, grant money from the town of Miami Lakes, the town that I work in. So the town actually sponsors us. Without them, we could not do that. It is a very expensive activity to do. If you go online and you look up the prices, you’ll be, “Oh my gosh, goodness, it’s very expensive.” You know? But the smiles on their faces when they come back and they have those little certificates, it means nothing, you know, it’s a little piece of paper. But that, to me, to them, it means the world.

Eric Cross (11:27):
Well, teachers, if you’re looking for ways to get that stuff funded, be fearless on behalf of asking for free things for your kids. Find a local business that somewhat connects to even robotics and say, “Hey, look, I’ve got 50 kids that really want to get after it. And we need X amount of dollars so we can buy those robotics kits. We’ll put your banner up somewhere. We’ll do all these other things. But come support our students. Come to the competition. Donate whatever you can for our students.” And many organizations will say, will say yes. Many just aren’t asked.

Marilyn Dieppa (11:57):
Right. And a lot of towns do have, like, education advisory boards. You wanna reach out to those people. ‘Cause those are the communities where they have money set aside in order to assist things like this.

Eric Cross (12:09):
Do you notice any carryover between the students that do get involved with these extracurriculars into the regular science classroom?

Marilyn Dieppa (12:16):
For sure. They’re more, they’re more disciplined. They tend to care more about the sciences because they see that link in the science. I mean, my kids are talking about gear ratios. They’re talking about, you know, mass accelerations. They had—they infuse all these things. And when they see it in the science class, they’re making that connection, which is really wonderful.

Eric Cross (12:41):
It seems like there’s a high level of engagement because this is an authentic thing. It’s almost, this should be science.

Marilyn Dieppa (12:46):
Yes. And not only that, the writing skills that have to be interpreted because part of the program is that they, they don’t necessarily have to have it, but in order for them to go far and make it to Worlds, they have to have an engineering notebook. So our strength sometimes is not the robot, but the engineering notebook.

Eric Cross (13:02):
his is where the journalism major shines.

Marilyn Dieppa (13:05):
Yes. And I go, “Guys, this is your Ikea manual. You have to explain what you’re doing, what pieces you’re using, what’s going right.” You know, and then they have to interpret and see what didn’t work. How can they fix it? So there’s so much problem-solving. It’s real life, it’s what they’re doing there. More so than sitting and learning rote, you know, vocabulary or whatever the case might be, ’cause they’re actually applying what they’re learning.

Eric Cross (13:31):
Yeah. And that’s, that’s so critical, the communication piece. Because seems like now in society, more than ever, even just being able to communicate something with bad science is convincing to people. Versus if you have great science, but you can’t communicate it, you’re not gonna be able to get it out into the public. It’s so great to see a program that exactly brings together this literacy aspect, in addition to kind of this content and skills aspect of doing the science.

Marilyn Dieppa (13:57):
And that’s what really, you know, since I started, that’s pretty much what I’ve done. My strength, believe it or not, when I was growing up, was not the science. I think I didn’t really have a really good science background. But I remember reflecting and saying, “I don’t want my students to feel like I felt when I was a child.” I wanna make sure that I give them everything, you know, give them the hands-on experience. I think I had one teacher when I was growing up and I still remember him. He was my second-grade teacher and he was just so amazing with the science. And it was just like the only really good experience I had. And I think that always stayed in the back of my mind. And when I started teaching and I go, “I wanna give these kids these experiences.” You know, sometimes I see kids in eighth grade and I go, how sad! They see water boiling and they’re just, like, in a lab room. And they’re just like, in awe, because there’s water boiling. And I go, “You guys haven’t seen water boil before?” And he goes, “No, no, no, not like this!” And I go, oh wow.

Eric Cross (14:58):
Even if it’s simple, everyday phenomena, everyday things that people deal with in a science classroom, or when you’re a teacher in that setting, it’s just—it just hits different, right? Like you, you know, you drop dye into water and watch it diffuse. And it’s like, whoa! Because they’re looking at it through that different lens. And that’s why one of the reasons why—I’m super-biased, but as science teachers, we get to do the coolest stuff.

Marilyn Dieppa (15:21):
Yeah, we do.

Eric Cross (15:22):
We just do. It’s so much fun. And basically anything that happens, that’s cool, like in, innovation and things like that, we can figure out ways to incorporate into our classroom. Now, as a coach and as a mentor, you’ve had multiple student teachers in your classroom. And we have, you know, huge need for new teachers. I teach teachers who are getting their CR, getting their credential. And the landscape of education is, is constantly shifting. You’ve watched it shift over the years. What are your biggest tips that you give to new teachers?

Marilyn Dieppa (15:49):
Well, I just had an intern last semester. I’ve had a few interns where, you know, not only are they doing this, but they’re also learning robotics too. So they’re really getting aspect in how to incorporate that. You don’t have to have everything separate. You can include everything together. But I think, I think it just comes from the foundation where they’re not exposed. Even me, when I went to college, I don’t remember doing so many labs as I should have. And I think it’s just a fear of them trying new things and failing. And I go, you know what? I, sometimes my first class is my guinea pig class, because I always change my labs. I don’t like to do the same thing over and over again. If I see something online, I go, “Oh wow. You know what, I’m gonna try it.” And I go, “Hey guys, this is the first time; we’re gonna do this together.” And it’s really—it’s just for them not to be fearful. And I think especially for science teachers or like even elementary, to give the kids the foundation that they need, they’re afraid. They’re afraid of failing and not trying something new, and say, “Hey, it’s OK. There’s other ways of doing this.” You know? So I always say, “My first class is always my guinea pig class, ’cause that’s the class I’m gonna try this on.” And then, you know, when you have to tweak, reflect, then we do that.

Eric Cross (17:06):
What are some of the things that you’ve seen or encouragements that you give to teachers who are teaching, kind of, in this kind of newer landscape, where as teachers, you become more than just a science teacher. I mean, you’re a mentor. You’re an encourager. Sometimes you’re a counselor for students. And then there, there are things that happen externally that impact teachers as well. It’s a tough job.

Marilyn Dieppa (17:24):
So I always say, you know, when you have a child, we have to be very aware of what’s happening with our children. Especially after these two years of the pandemic. That was kind of crazy. Last year was a really tough year, I think, for most educators that were back in the classroom. But I always tell ’em, you have to be really aware of what’s going on with these kids outside. When you see somebody who’s not doing anything and then you have the parents are there supporting. There’s something going—I mean, there has to be something going on. Kids are not just going to be so, so defiant. You’re gonna have very few that will be like that. But most of them it’s just gotta see and read those kids and see what’s going on, and don’t be afraid to—and I always say, I’m not there to really be your friend, but I’m there to help you. And you gotta tell ’em, you know, if you need to talk, come talk to me. Have an open-door policy with those kids.

Eric Cross (18:16):
What’s been your favorite part of the job? Something you really enjoy about the job? Especially having been teaching for as long as you have.

Marilyn Dieppa (18:23):
I think my favorite thing is their success. Whether they have struggled all the year and they’ve had that one piece of success or they don’t realize what they got out of middle school until they get to high school and they come back to you and they tell you it’s, you know, seeing my kids, whether it’s robotics, whether it’s in the classroom, that they pass a test for the first time, those are my moments of success. And that’s what makes me happy.

Eric Cross (18:52):
So you get those ahas, you get those wins, those turnarounds. And it’s like, “Ah, this keeps me going. This is so good!” But there’s something that I say to myself when I do get challenges in the classroom is teaching seventh grade, I say, “They’re 12. They’re 13. They’ve been on earth for 13 years. And for the first five or six, like, you know, they’re just kind of coming online at that point. And they’re going through all these changes.” And it grounds me in the fact that ’cause sometimes the things that you experience can be really, really challenging kind of interpersonally. And I remind myself, “Well, it’s like—you’re not 28 years old. Like, you’re, 12 and 13, and you need me to not be Mr. Cross, the science teacher. You need me to be, you know, Mr. Cross, the mentor, or Mr. Cross, the coach.” Like you were saying, open door. Keeping that open door, keeping that relationship. Because so much of what we’re doing is like life coaching in addition—and that connects to their success in the classroom. There’s a direct relationship.

Marilyn Dieppa (19:45):
Yes, yes, yes, absolutely.

Eric Cross (19:46):
Now what gets you back each fall? Because at the end, you know, every school year it’s like, “That was a tough one!” Especially with the last couple years. Right? So what’s been something, what gets you back in the classroom every fall, so that you’re ready for your students?

Marilyn Dieppa (20:02):
I think the support I get at home. I have a husband who is the most supportive person ever. He always tells me, “Your kids are grown up.” You know, my kids are adults now. “Enjoy these kids, what they’re doing. You don’t know how much they need you.” So he does tell me that. He goes, “And don’t complain! You love it!” And also my administration, they back me up. And that’s what I think what keeps you coming back. I love my administration. Whatever I ask for, they don’t tell me no. They tell me I’m crazy, but they don’t tell me no. You know, we have these huge competitions once a year at our school, administration has to be involved ’cause they have to be there, and they go, “We do this because we love you! But you know, you’re crazy!”

Eric Cross (20:48):
It’s interesting, ’cause both of these things, they involve human connection. And one is your support system at home, which is incredibly valuable. Shout out to your husband; I don’t know if he’s around. And then the culture, like, feeling supported. Teachers, you know—and it’s not just in education, but people, I’ve experienced—will work harder, longer, be more committed, when they have that intangible. When they feel like they’re connected to something bigger than them. Or on a team, not in a silo. And one person can really create or break whether that happens. And just like us in the classroom as a teacher, right? Like, “What makes you like this teacher’s class?” “Well, I feel connected. I feel safe. I feel it’s fun. It’s the culture!” I like to end with asking this question and you kind of alluded to an answer earlier, but who is one, or it could be multiple teachers, that you’ve had in your own life as a kid growing up or young person in kindergarten through 12th grade, could even be college, that has inspired you? Or made a difference in your life one way or another? Like, who pops out? I feel like we all have somebody.

Marilyn Dieppa (21:58):
One was my second grade teacher, as I mentioned before. Mr. Fernandez, never forget him. And my other teacher was my high school teacher, Mr. Velazquez. It was in New Jersey as well. And he was the one that really got me into the love of writing. He was my Spanish teacher, actually. He wasn’t even, you know—he was like an elective teacher. But he just made me believe like, “Wow, you’re like a really good writer!” To me, those two gentlemen really stood out. Very fond memories of being in school and really enjoying what I was doing.

Eric Cross (22:33):
There are so many teachers that we all have been impacted by. And many of us now who are teachers, we sit in that same seat. We fill those same shoes. And going back to what you had said earlier, one of the most rewarding things is when those kids come back to you. And I’m thinking about all the work that you’ve done, all the students you’ve poured into, all the competitions you’ve done. The ones that have come back to you are a small fragment of the ones that you’ve impacted.

Marilyn Dieppa (22:59):
Mm-hmm, yeah.

Eric Cross (23:00):
‘Cause we think about our own story, right? Like you’ve gone on and paid dividends for that one teacher in second grade. You know, Mr. Fernandez or Mr. Velasquez like, they went and they just gave you exposure to something or helped you fall in love with something. And you went on this trajectory. And if we could see the timeline of, like, this teacher created Marilyn, and Marilyn went and did this, and then what do all those students do? And that, I don’t know, there’s so many jobs that are gonna be hard work and that are gonna be challenging and stressful. But that is the thing that I think fills me when I listen to your story. I just think about like all the students throughout Florida that you have—you probably will never hear from, but have gone on to do amazing things or become great people who would go back and talk about you and say you were an inspiration for them. Marilyn, thank you for taking the time out to be on the podcast and for not only teaching students, but inspiring and coaching younger teachers and new teachers. It’s so critical. And for being willing to spend so much of your time beyond the classroom to create these opportunities for students to do this awesome, fun, engaging science, and go to Worlds. I wish you a great school year.

Marilyn Dieppa (24:11):
Thank you. You too.

Eric Cross (24:12):
We hope you make it to Worlds again and crush, in a competitive, collaborative type of environment. We’ll be checking out—I’m sure other teachers will check out Vex Robotics. Thanks for being on the podcast.

Marilyn Dieppa (24:23):
Thank you. You too, Eric.

Eric Cross (24:26):
Thanks so much for listening. Now we want to hear more about you. Do you have any educators who inspire you? You can nominate them as a future guest on Science Connections by emailing STEM@amplify.com. That’s S T E M at amplifycom.wpengine.com. Make sure to click subscribe wherever you listen to podcasts. And join our Facebook group, Science Connections: The Community. Until next time.

Stay connected!

Join our community and get new episodes every other Tuesday!

We’ll also share new and exciting free resources for your classroom every month.

What Marilyn Dieppa says about science

“I think as science teachers, we’re afraid of failing and not trying something new, and I say, ‘Hey, it’s okay!’ You have to tweak, reflect.”

– Marilyn Dieppa

STEM Academy Coach/Teacher, 2018 Miami-Dade County Public Schools (M-DCPS) Middle School Science Teacher of the Year

Meet the guest

Marilyn Dieppa is a long-time educator and STEM Academy coach at Miami Dade County Public Schools. Currently in her 24th year, Marilyn teaches 8th grade science and coaches the STEM Academy at Bob Graham Education Center. She launched the Science, Technology, Engineering and Math (STEM) Academy during the 2016-2017 school year, and the teams compete in VEX IQ World’s Competition representing both the district and the state. She has been the middle school department chairperson since 2003, attends the district department meetings and Instructional Capacity-building Academy (ICAD), and trains her science department.

Dieppa holds a bachelor of science in Elementary Education and a master of science in reading education. She is also a Nationally Board-Certified Teacher in Science.

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About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. Listen here!

Welcome, Tigard-Tualatin School District, to the next chapter in the Science of Reading, with Amplify CKLA 3rd Edition!

Amplify Core Knowledge Language Arts® (CKLA) is approved by the Oregon Department of Education. 

Truly built on the Science of Reading, Amplify CKLA helps Oregon teachers implement the Oregon English Language Arts and Literacy Standards by translating the science of reading into manageable, engaging, and effective classroom practices. For more than a decade, Amplify CKLA has transformed classrooms nationwide with its intentional knowledge building and systematic skills instruction.

Scroll down to learn how CKLA is uniquely designed to help all your students make learning leaps in literacy.

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Our approach

Improve outcomes with a program that’s built on a decade of research and meets the strongest ESSA Tier I criteria.

Diagram illustrating the Simple View of Reading model, depicting language comprehension and word recognition pathways converging into skilled reading, with processes becoming increasingly strategic and automatic—a foundational concept in literacy curriculum for elementary education.

Grounded in the Science of Reading

As the original Science of Reading program, Amplify CKLA puts research into action with explicit, systematic foundational skills instruction and a proven knowledge-building sequence. In collaboration with education experts and practitioners, we provide powerful resources that deliver real results.

Background knowledge drives results

Amplify CKLA follows the Core Knowledge Sequence, a content-specific, cumulative, and coherent approach to knowledge building. This approach improves reading scores and closes achievement gaps by establishing a robust knowledge base that strengthens comprehension.

In Amplify CKLA 3rd Edition, we’ve enriched our Knowledge Sequence with a wider range of perspectives and high-quality texts in new and enhanced units.

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An infographic showing the steps to pronounce

Build foundational skills for long-term success.

Students progress from simple to complex skill development starting with phonological and phonemic awareness. Instruction in Grades K–2 explicitly teaches the 150 spellings for the 44 sounds of English, following an intentional progression to ensure student success.

In our 3rd Edition, we’ve added dedicated Grade 3 foundational skills instruction that can either support core lessons or function as an intervention, based on student needs.

Daily writing deepens learning.

Grounded in the Science of Writing—the research on how kids learn to write—instruction is explicit, daily, and woven into the curriculum’s rich content. It covers both transcription (handwriting and spelling) and composition (organizing ideas into narratives) with high-impact activities like sentence-level combining and expanding, and pre-writing exercises. Writing and reading instruction are integrated so students simultaneously strengthen their communication skills, comprehension, and confidence.

A child in a green shirt smiles while writing in a notebook at a classroom desk, engaged in their k–5 literacy curriculum, with another student visible in the background.
An open laptop displaying a children's story titled

High-quality, diverse texts

Amplify CKLA students are immersed in a variety of texts—complex read-alouds, decodable chapter books, trade books, and content-rich readers—that reflect varied experiences and connect to learning goals.

Readers are 100% decodable for Grades K–2, empowering students to directly apply what they’ve learned. Novel Study units for Grades 3–5 offer a mix of contemporary and classic literature, and Culminating Research Units in every grade include a set of authentic texts and trade books.

Reach all learners with differentiated support.

Scaffolds and challenges, developed in collaboration with education experts, make content accessible to every student—including multilingual and English learners. With strategies embedded right in the curriculum, teachers can deliver in-the-moment, individualized instruction to meet diverse student needs.

For a dedicated English language development program aligned to Amplify CKLA, explore Language Studio.

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What’s included with Amplify CKLA

The comprehensive resources in Amplify CKLA 3rd Edition support effective literacy instruction in every classroom.

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Various educational materials, including textbooks, workbooks, a picture book, documents, and a laptop displaying a slide titled

Easy-to-use teacher materials

Amplify CKLA teachers are empowered to deliver effective instruction with the following print and digital resources:

  • Teacher Guides (K–5)
  • Assessment Guides (K–5)
  • Authentic texts and trade books (K–5)
  • Knowledge Image Cards (K–2)
  • Knowledge Flip Books (K–2, digital)
  • Ready-made and customizable Presentation Screens (K–5, digital)
  • Remediation and intervention resources (K–5)
  • On-demand professional development (K–5, digital)

Immersive Amplify CKLA student resources

Amplify CKLA students stay engaged with the following print and digital resources:

  • Decodable readers (K–2)
  • Student Readers and novels (3–5)
  • Student Activity Books (K–5)
  • Poet’s Journal (3–5)
  • eReaders (K–5, digital)
  • Sound Library featuring articulation videos and songs (K–2, digital)
  • Skill-building practice games (K–5)
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A collection of six book covers including

Rich literary experiences

All the high-quality, diverse texts in Amplify CKLA connect to the curriculum, fostering your students’ curiosity and helping them learn to read with confidence.

  • Trade Book Collections (K–5) inspire student research in each grade’s Culminating Research Unit.
  • Classic and contemporary literature (3–5) delight students in Novel Study Units.
  • Increasingly complex Student Readers (K–5) develop students’ literacy across grades.

Hands-on phonics materials

Multisensory phonics and foundational skills resources engage students with fun, varied approaches that promote mastery and build independence.

  • Chaining Folders and Small Letter Cards (K)
  • Read-Aloud Big Books (K–1)
  • Large Letter Cards (K–2)
  • Sound Cards (K–2)
  • Image Cards (K–3)
  • Blending Picture Cards (K)
  • Consonant and Vowel Code Posters and Spelling Cards (1–2)
  • Sound Library (K–2, digital)
Image includes various vowel sounds and combinations on flashcards and worksheets, along with a playful illustrated mammal, all part of a comprehensive literacy curriculum for elementary students.
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All-in-one digital platform

Our comprehensive platform simplifies your day-to-day tasks and makes it easier to plan and deliver lessons.

  • Ready-made and customizable Presentation Screens
  • Auto-scored digital assessments
  • Standards-based reporting
  • Assignable skill-building games
  • Sound Library
  • eReaders

Professional development

Move beyond traditional program training with Amplify’s digital PD Library, designed to fully support your shift to the Science of Reading and Amplify CKLA. Deepen your understanding with:

  • Program and planning resources
  • Model lesson videos from real classrooms
  • Guidance on using Amplify’s literacy suite to provide multi-tiered support
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“Teachers love the ease of implementing the program, and students have fun while learning. Growth is evident in our data, and we have the support of Amplify experts who are available to answer questions and provide top-notch professional development.”

Bridget Vaughan, District K–8 Coordinator of ELA and Literacy

Quincy Public Schools, Massachusetts

Language Studio: Multilingual and English language learner support

Language Studio is Amplify CKLA’s dedicated K–5 program for multilingual and English language learners. Through daily 30-minute lessons, it strengthens reading, writing, speaking, and listening skills while reinforcing core instruction. This tailored support empowers students to confidently access grade-level content as they develop academic English.

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Amplify CKLA serves

150,000+

Classrooms

4,000,000+

Students

50

U.S. States and D.C.

Amplify Caminos program overview

¡El futuro es bilingüe! | The future is bilingual!

Amplify Caminos is a research-based core curriculum essential for Spanish literacy and grounded in the Science of Reading.

View our Caminos Program Guide to find our approach to foundational skills by year, skills practice with student readers and writing, and how Caminos supports teachers meeting the needs of all students with embedded differentiation.

Amplify Caminos offers a robust and authentic elementary Spanish language arts program for grades K–5 that promotes
biliteracy and helps teachers inspire students as they become confident readers, writers, and thinkers in Spanish.

Using the program’s two strands, Caminos Conocimiento and Caminos Lectoescritura, teachers develop student
comprehension in Spanish through a program rich in background knowledge and foundational skills activities. The texts students encounter include authentic Spanish literature that honor Spanish language development and build diverse content knowledge in social studies, science, literature, and the arts.

Amplify Caminos is designed to support a variety of bilingual and dual language instructional models to meet your student’s biliteracy needs. Combined with its English language partner, Amplify Core Knowledge Language Arts (CKLA), Amplify Caminos provides a comprehensive biliteracy solution.

Ilustración de un niño alegre participando en el programa de lectura de CKLA, jugando fútbol junto a un libro abierto, con una tortuga, un loro y un exuberante paisaje tropical rodeándolos. La palabra "
Illustration of the amplify caminos language comprehension model, featuring step-by-step progression from simple word recognition to skilled reading, with educational graphics and text excerpts.

Amplify Caminos delivers rich, authentic experiences.

With a robust digital experience and expanding library of online materials, Amplify Caminos provides everything needed to support, challenge, and engage your students. From digital Teacher Guides to lesson projectables, we provide all the tools needed to successfully deliver every lesson.

How Amplify Caminos works with Amplify CKLA

Through direct instruction, both Amplify Caminos and Amplify CKLA develop reading, writing, speaking, and listening skills in their respective languages. Together, the programs empower educators to effectively foster biliteracy with:

  • Intentional knowledge building that connects topics throughout the program.
  • Increased metalinguistic awareness from students exploring the similarities and differences in each language while strengthening their knowledge across both.
  • Equitable instruction using high-quality Spanish and English decodable readers that provide students with opportunities to apply skills learned, and foster each students’ growing competency in reading.
“There were other programs that claimed to be [based on the] Science of Reading, but no other vendor provided the suite of products together. We did not want to be picking from here, picking from there. [Amplify’s literacy suite] met our needs, because it aligned and provided us the best suite of products, hands down.”

Nicole Peterson, Principal, Midway Middle School

Sampson County Schools, North Carolina

Demo Access

Explore the CKLA Teacher Digital Resources

First, watch the quick navigation video to the right. Then, follow the directions below.

  • Go to: learning.amplify.com or click the Access CKLA Teacher Digital button below
  • Select Log in with Amplify.
  • Enter this username: t1.ttsd_ckla_caminos@demo.tryamplify.net
  • Enter this password: Amplify1-ttsd_ckla_caminos
  • Click the CKLA button
  • Select your desired grade level from the Program drop down

Follow the directions below to access the Student Resource Site:

  • Go to: learning.amplify.com or click the Access CKLA Student Digital button below
  • Select Log in with Amplify.
  • Enter this username: s1.ttsd_ckla_caminos@demo.tryamplify.net
  • Enter this password: Amplify1-ttsd_ckla_caminos
  • From the main page, click the backpack in the top right corner.
  • Click on the grade level to select your desired grade.

Welcome, Arizona educators!

The Arizona Department of Education just released its first-ever list of approved universal literacy screeners. According to the state, these screeners “shall be used by schools in the 2020-2021 school year to meet the requirements of both the Move On When Reading (MOWR) legislation and the dyslexia screening legislation.”
 
We’re excited to announce that mCLASS® with DIBELS® 8th Edition and mCLASS RAN is on that list.

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Why mCLASS?

mCLASS® with DIBELS® 8th Edition and mCLASS RAN is a single solution that meets all of the requirements of the law.

  • It’s a universal early literacy screenerdyslexia screener, and diagnostic tool in one.
  • It includes immediate and actionable literacy instruction and intervention strategies based on student performance.
  • It’s flexible and can be implemented in a variety of scenarios, including in-person, remote, and hybrid learning environments.
  • It allows for non-paper assessment and scoring as well as offline assessment capabilities.
  • It includes a variety of parent notification resources and at-home reading strategies.
A timeline with milestones from 2000 to 2018 shows Amplify’s focus on literacy, with a large play button in the center and the text: "We have been laser-focused on literacy for two decades.

Funding

Schools may utilize Move On When Reading (MOWR)Early Literacy Grants, or federal CARES Act funds to purchase assessments to meet both MOWR legislation and the dyslexia screening legislation (A.R.S §15-701 and A.R.S. §15-4704).
 
Visit our CARES Act resource hub or download this CARES Act flyer to learn more.

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More than a test

mCLASS is an integrated, gold standard literacy system that closes the knowing-doing gap. By combining assessment, reporting, and instruction in one, it eliminates the need for cobbled together tools.

  • Data gathered through efficient one-minute measures is made available to teachers instantly.
  • Easy-to-read reports make teachers aware of potential reading difficulties as well as observed patterns.
  • Ready-to-teach literacy instruction and intervention strategies help teachers target specific skill deficits immediately.

Remote learning

mCLASS has created a collection of resources to help you plan for a variety of scenarios for the 2020–2021 school year.
 
Whether your school is engaged in in-person, hybrid, or remote instruction, we know how important it is for teachers and administrators to have a full picture of every student’s literacy development.
 
Download our Remote and Hybrid Learning Guide to learn more.

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Personalized practice

Amplify Reading is the practice and remediation companion to mCLASS.
 
At its heart, there are three main areas that make Amplify Reading a unique and essential supplemental learning program for the 2020-2021 school year.

  • The program meets all students where they are with powerful individualized instruction and practice.
  • Age-appropriate narratives create a learning experience that leaps off the screen.
  • Research shows Amplify Reading improves student performance–particularly among English Learners–reducing the overall percentage of students at risk of reading difficulty.

Get in touch

Ready to discuss how mCLASS can support your specific needs? A brief 30-minute call is all we need to determine if mCLASS with DIBELS 8th Edition is the right fit for you.
 
Simply fill out the form below and we’ll be in touch.

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Tommy Gearhart

Senior Account Executive

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Laina Armbruster

Account Executive

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Laina Armbruster

Field Manager

Request a meeting

S3-01: Science as the underdog, and the research behind it

A graphic with the text "Science Connections" and "Amplify" features colorful circles and curved lines on a dark gray background.

Get ready for season 3 of Science Connections: The Podcast!

In our first episode, we unpack the research around our season theme of science as the underdog with Horizon Research, Inc. Vice President Eric R. Banilower and  Senior Researcher Courtney Plumley. Eric and Courtney dive into the research they’ve found and their experiences as former educators to show how science is often overlooked in K–12 classrooms. We discuss how the science classroom compares to other subjects in terms of time and resources, how schools are a reflection of society, and what’s needed to change science and its impact on a larger scale.

We hope you enjoy this episode and explore more from Science Connections by visiting our main page!

DOWNLOAD TRANSCRIPT

Courtney Plumley (00:00):

We asked teachers how much science, professional development, they’ve had in the last three years, and nearly half of elementary teachers said none.

Eric Cross (00:10):

Welcome to Science Connections. I’m your host, Eric Cross. I am super-excited to be kicking off the third season with the show. This entire season will be exploring the theme of science as the underdog. And we’re gonna make the case for science, by showing how and why it can be used more effectively. In the coming episodes, we’re gonna talk about how science can be better integrated into other content areas like literacy and math, and explore some of the benefits that you might not be thinking about good science instruction. But first, science as the underdog. I bet some of you out there feel like science is the underdog in your community at school. I know I have at times. To kick off this season, I’m gonna talk to two people who really studied this question by looking at the state of science instruction across the US. Eric Banilower is Vice President of Horizon Research and Courtney Plumley is Senior Researcher at Horizon Research. Eric was the principal investigator and Courtney an author of the latest in a series of studies called “The National Survey of Science and Mathematics Education.” We’re gonna dive into the findings of their most recent report to see what the data’s showing us. Please enjoy my discussion with Eric Banilower and Courtney Plumley. Courtney, hello. And thank you so much for joining us.

Courtney Plumley (01:25):

Hi Eric. It’s nice to be here.

Eric Cross (01:26):

And Eric, welcome.

Eric R. Banilower (01:27):

We’re thrilled to be here, so thank you for having us.

Eric Cross (01:30):

I was reading through the report. Four hundred…a very thorough report, 471 pages, I think, as I got it?

Eric R. Banilower (01:37):

And that’s only one of the many reports from that study.

Eric Cross (01:40):

Yeah. You all have done your work, so I’m really excited to to talk to you about this. And on this season of the show, we’re exploring the theme of science as the underdog. And I think a lot of our listeners, we feel like science is an underdog either in their school or in their district. But you’ve actually done some research on this, in a 2018 study, “The National Survey of Science and Mathematics Education.” So I wanna talk about this report. But first I was hoping you can kind of set the stage. How did you come to work on this report, and then, big picture, what were you hoping to find out?

Eric R. Banilower (02:10):

So the 2018 study that you just mentioned was actually the sixth iteration of a series of studies dating back to 1977. And we collect data every decade or so—you know, plus or minus a few years. And really, what we’re trying to do is get a snapshot of what the science and math education system looks like in in the nation. So my role grew. I started working at Horizon in about 1998, after teaching high school for five years in California. And then going to graduate school. And right about that time, the company was doing the 2000 iteration of the survey. And I worked on it with the team here at Horizon. And then we did it again in 2012. And I had a much more prominent role in that study, and became the kind of leader of the study. And in 2018, the most recent version, we just did it again. So the goal of this study is really to kind of examine key aspects of the K–12 STEM education system. And the main audience of the work has traditionally been policy makers, researchers, and practitioners who work at the federal, state, and district level.

Eric Cross (03:30):

So this study, you took kind of a sample size, but it’s reflective of trends that we tend to see across the nation as a whole. Would that be fair to say?

Eric R. Banilower (03:38):

Yes, definitely it is. It is a random sample of schools in the country. So we start with a list of all the public and private schools in the nation, and then do a random sample of those schools, and then work really, really hard to recruit schools to agree to be in the study. And that has gotten harder every time we’ve done the study, for many understandable reasons. And then once we have schools on board, we sample teachers within schools. So we don’t even survey every teacher in a school. It’s really a sub-sample. So that we can make inferences about the nation as a whole.

Eric Cross (04:14):

Makes sense. And so Courtney, what did you find out about the time spent on science instruction in US schools?

Courtney Plumley (04:22):

So, I’m gonna talk about elementary teachers to begin with.

Eric Cross (04:26):

Because that was your past life, right?

Courtney Plumley (04:28):

I am a former elementary teacher, yeah. So that’s kind of where my head is. And that’s relatable for me. Right? So we asked teachers, like, how many days of the week or weeks of the year that they teach elementary school. And fewer than 20% teach science every day of the school year. They kind of do one or two things, for the most part. They teach a couple days a week or they teach every day of the week, but only for, like, maybe six weeks, and then they swap with social studies and they kind of do that across the school year. Which is really different from, like, math, right? We also asked elementary teachers, how often do they teach math, and it’s every day of the year. Then we also asked them how many minutes they teach when they’re teaching, and we kind of did the math to figure out, all right, if they taught science every day of the school year, how many minutes would it be in a single day, so that we could make a more comparable comparison with math and ELA. If you were to work it out, how many minutes of science an elementary teacher teaches across the year, and break it down to per day, it’s like 18 minutes for the lower elementary grades, 27 for the upper elementary grades. Which is not a lot. But it’s pretty much an hour a day in math, and 80 plus minutes in ELA. So, a lot less. And then, you know, when I was teaching, the first thing to go was always science, right? If there was an assembly, if there was early release or whatever, that was the first thing to go. So those numbers might even be higher. Just because they aren’t factoring that kind of thing in, too.

Eric Cross (06:05):

So, now I’m curious. That is something that I’ve seen just anecdotally, science being the first thing to go. I feel like I’ve seen that almost…it’s almost become a meme, that I’ve heard that so often. Just in your experience, why do you think that is that huge disparity between the two?

Courtney Plumley (06:26):

Well, I mean, when I was teaching, I was teaching third grade. I had an end-of-grade test in math and ELA for my kids. I didn’t have one in science. So the administration said, “Hey, if you’re gonna drop something, drop something that’s not tested.”

Eric Cross (06:41):

Simple as that. And Eric, you, past life: physics teacher. High school. What did you see? ‘Cause our listeners run the gamut from elementary all the way up to high school. What did you see, as far as relative science instruction in the secondary level?

Eric R. Banilower (07:00):

Sure. You know, secondary is just a whole different situation than elementary. Rght? Because you have departmentalization. I taught science. I didn’t have to teach other subjects. And students had periods, and they still do, sorry, they still have periods, even though it’s been a long time since I taught. And you know, they rotate from one class to another. So all the classes were essentially the same length. So, you know, when I was teaching, it was about 50-minute periods. So in terms of minutes of a class or minutes on a subject, it’s not really different. But what is different is what students are required to take in order to graduate high school. One of the things we asked schools about in this study was how many years of a subject do students have to take in order to graduate? And what we saw was in mathematics, over half the schools in the nation require students to take four years of mathematics to graduate. OK? And the vast majority of the rest, about 44%, require three years in science. Most schools require three years. Very few require four years. And many, or a fair number, still only require two years to graduate. So the expectation of what students are taking is lower in science than it is in mathematics.

Eric Cross (08:20):

So you were seeing the same trend in secondary, essentially.

Eric R. Banilower (08:24):

Yes.

Eric Cross (08:24):

The amount of time devoted to the instruction of science…we’re kind of seeing it mirrored just across K–12 across the board.

Eric R. Banilower (08:33):

That’s correct.

Eric Cross (08:34):

And that’s across the country. ‘Cause the sample size represents teachers from Alaska, Hawaii, the South, SoCal, everywhere. So what’s been the reaction to that number? Like 18 to 20 minutes is…I mean, it’s, it’s half of my lunch at our school. What’s been the reaction to that number since this data has been published?

Eric R. Banilower (08:58):

I don’t know, Courtney, if you want to take that…

Courtney Plumley (09:00):

It’s a lot of what you just did. Like, what??? Like, how is it possible to teach all the things you need to teach in such a little amount of time?

Eric R. Banilower (09:08):

What’s really kind of surprising to me, though — though now that I’ve worked on three iterations of the study, it no longer surprises me, but it did at first — is that these numbers really aren’t changing since we’ve started doing this study. You know, people thought maybe with No Child Left Behind and the increase in accountability, time on science might actually go down, because there was more testing in math and English Language Arts. It didn’t happen. It was pretty much constant, that this has been kind of the state of science education for a long time.

Eric Cross (09:44):

So Eric, if I’m hearing you right: The past studies, we’re not seeing an increase or a decline. This has been this way for how many years, roughly, would you say? Since it’s been studied?

Eric R. Banilower (09:54):

You know, I’d have to go back to the 1977 report to get the numbers, but I’m gonna say since then, it has not changed much, if at all.

Eric Cross (10:03):

So this has kind of been entrenched. This has been the norm for almost for the career of a teacher, almost generationally. We’re looking at anyone who’s been in the highest levels of leadership to someone just entering the classroom, this has been the way it’s always been. This is kind of for many people what they’ve only known.

Eric R. Banilower (10:20):

Right.

Eric Cross (10:21):

Kind of become the norm.

Courtney Plumley (10:21):

We didn’t even have science when I was in elementary school. We had science on a cart that came by, you know, every other week.

Eric Cross (10:28):

Was that like a food truck, but like the science version of it? It shows up and does quick science and takes off?

Courtney Plumley (10:35):

And New York was, I mean — we always watched Voyage of the Mimi. I don’t know if you ever watched that. But that’s what we watched every single time the Science on the Cart came. So it’s like a marine biology show. Ben Affleck was on it when he was a kid.

Eric Cross (10:48):

<laugh> Really? For me it was, Mr. Wizard. For some of my students, even now, Bill Nye. You know, the Bill Nye show or something would come on. So what happens when you look at less wealthy districts? Is there a relationship between community resources and science instruction, or is it pretty much equal no matter what the district resources are, the school’s resources are? Did you see any data there?

Eric R. Banilower (11:12):

Yes. We actually did a lot of disaggregating the data by community type, student demographics in the schools, to look to see whether there were areas of inequities across the country. And, you know, one of the factors we looked at was kind of a measure of socioeconomic status. You know, wealth in the community. By looking at percentage of students eligible for free or reduced-price lunch. And interestingly, in terms of time on science instruction, there is actually not a relationship between income level and how much time is spent at the elementary level on science, which actually surprised us.

Eric Cross (11:54):

Because you might have expected it to be the other way now. And granted, it’s 18 to 20 minutes, there isn’t much more to shave off off of that. But were there other differences, like when you compared those communities? Maybe it wasn’t the amount of science instruction, but was there anything else, like teacher preparedness, resources? Were there anything else that you did see discrepancies in? Or was it equal across the board?

Eric R. Banilower (12:13):

No, unfortunately there, there have been, and still are, a number of areas where community resources are related to pretty substantial differences in educational opportunities that students have. So, you know, we’re talking about the high school science requirements. One of the things that we saw was that high schools in less wealthy communities tend to offer less rigorous science courses than high schools in better-off-financially communities. So they may not be AP courses or second year advanced courses to the same extent that there are in the wealthier communities. That’s one big difference that we saw. Another one was what you were just saying about, sort of, the teachers who teach in these communities. You know, I think that for many years people have had a feeling that the best teachers go to the better off schools because it’s easier to teach there. Well, we see that the schools with the most poverty, they tend to have the newer teachers, who are just starting their career. They tend to have teachers who are less well prepared to teach their subject. And there’s a host of other differences we found. And you know, you mentioned the report being 400 pages. This other report that looks at these differences is also quite long, and, you know, identified a number of areas where there are these disparities in the system.

Eric Cross (13:43):

Well, we appreciate you synthesizing this for us, because this is super-important. And you’ve fleshed out a lot of things. And the fact that it’s driven by data, we as science teachers, we as scientists, being objective, really, really value that. Because this is actually validating a lot of the things that our listeners and myself, we experience anecdotally. But you don’t have a lot of things to network you. And sometimes, when you see this, you wonder if it’s just you, or is are other people experiencing this? And so as you start talking about this data, realizing, oh wow, this is not something in isolation. This is systemic. This is something that’s impacted. And then Eric, what you said about schools that were lower-income, that were under-resourced, and didn’t offer those advanced classes, what are some of the impacts of that, maybe downstream, of doing that? Not having those AP classes? I just kind of wanted to put that out there and ask you.

Eric R. Banilower (14:31):

You know, this is a really…this is a current debate right now, about what the goals of schooling K–12 should be. You know, are all kids meant to go to college? Should there be alternative paths? And you know, I know when I was teaching, I would have students say, “Why do I need to know this? I’m not gonna go into science. I’m not gonna study physics. Why do I need to take this?” And, you know, the answer I used to give them was, “You never know where your life is gonna end up and what opportunities you’ll have. And by having these educational experiences, you have more opportunities available to you. Whether or not you choose to go down those paths, you have opportunities. And when you don’t take this kind of coursework, you know, even if you don’t want to go to college, you limit your potential careers. Because so many careers nowadays require some technical knowledge, some knowledge of science, even if it’s not explicitly a science job. It is embedded in our society now. We are a technological and science-based society.”

Eric Cross (15:37):

It reminds me of something that I’ve told my students, that if you become a scientist, that’s awesome. I love that. But if you don’t, and you want to be a dancer or an actor or a lawyer or anything that may not be directly related to STEM, I want you to choose it because it was a choice, and not a lack of options. So as long as you’re choosing not to go in STEM, and you don’t make that decision because you can’t, or because you weren’t given the opportunity. So that’s how I’ve always had this mindset as a teacher. And I’ve explained it to my students. So if you say, “Cross, you know what I want to do, I wanna be an awesome chef,” which, you know, low-key that’s science, right? <laugh> Molecular gastronomy, we know that. But like, you be the best chef. But as long as you’re being a chef because you choose that, and you’re like, “I love science, but I don’t wanna go that direction,” we’re good.

Eric R. Banilower (16:26):

Right. And if you think about, a lot of social justice issues with pollution and climate change, and you look at which communities are more affected by some of these larger environmental problems and challenges, it tends to be the lower socioeconomic communities, the more poverty-stricken communities have worse water, have worse air quality. And so if, if people from these communities are going to make informed decisions about who they’re gonna vote for, about what policies they’re gonna support, those are science topics that you have to have some understanding in order to make informed decisions in your life.

Eric Cross (17:09):

Courtney, you were one of the Swiss Army Knife teachers. This is how I perceive it for elementary. You had to teach everything. And shout out to all of my elementary school teachers that have to be mathematicians and grammar whizzes and scientists and PE instructors and social emotional, all of those different things. you also looked at teacher preparedness. How did teachers feel about teaching science compared to other subjects like language arts and math? Did you see anything there?

Courtney Plumley (17:39):

We did, we did. And I’m glad you said, “How did they feel about it?” Because one thing that, you know, in a survey you can’t really do is capture how someone actually…how good someone actually…the quality of someone’s instruction. But you can ask them how prepared they feel. And you can even ask them like stats, like, “What did you major in in college?” You know. But you really are going on based on what what they say. So we ask them how prepared they feel to teach all the core subjects. And two-thirds of elementary teachers felt very well prepared to teach reading. They felt very well prepared to teach math. But when it comes to science, it’s less than a third felt very well prepared. And you know, like you said, when you’re teaching elementary school, you’re teaching all the subjects. But also in science, there’s usually four main instructional units in a school year. And they’re all from different science disciplines. So not only are you going on, like, “Maybe in college took a lot of bio classes, but I didn’t take any physics classes, and now I have to teach physics to my kids and I have no experience there.” So, you know, we also ask them how well-prepared they felt in these different disciplines. And the numbers are even smaller, you know. Fewer than a quarter felt very well-prepared in life science. And like 13% felt very well-prepared in physical science. So there’s definitely a big difference between how much teachers feel prepared for ELA and math versus science.

Eric Cross (19:08):

And just from a human perspective, when we don’t feel prepared for something, we’re not really gonna probably lean into it as much as we are into our strengths. Like, that’s just kind of how we are across the board.

Courtney Plumley (19:18):

Yeah.

Eric Cross (19:18):

I’m even like that with my own chores in the house. Or when I have things I need to get done, and I might not be as good at doing those things—it’s gonna be a heavy cognitive load; I’m gonna have to do some background research—I tend to find other areas to excel in. Like, I’m gonna be productive in this other area. I’m gonna really crush it here. But this other thing gets put to the back burner.

Courtney Plumley (19:36):

Totally. And the same reason I might skip science today, <laugh> ’cause it’s scary.

Eric Cross (19:41):

Yeah, exactly. But I love this book. <Laugh> Or we could do this math, and let’s really, really dive deep into it. Now, did you also look at professional development and instructional resources that are being provided?

Courtney Plumley (19:53):

We did.

Eric Cross (19:54):

And on the whole, how was the amount—and I’m seeing a trend here, so I’m kind of feeling like I know where this might go—but I wanted to ask it, did the amount of professional development and resources for science, was there much of a difference between that and other subjects?

Eric R. Banilower (20:10):

Well, I’ll start on this, and Courtney, feel free to jump in. You know, one of the things that we asked was how much kind of discretionary funding do schools devote to science and how much to mathematics? So, for consumables or equipment and supplies or computer software for teachers to use in the classroom. And it’s hard to compare, I think, across subjects because the demands for this kind of supplies, et cetera, is very different, I think, in science than it is in mathematics. Right? We have a lot of, you know, equipment for doing investigations, consumable supplies in science. And those things need to be replenished on a regular basis. It turns out, when we look at the data for school discretionary spending on this kind of stuff, the median school spends less than $2 per student at the elementary level on science, compared to over $6 for mathematics. At the high school level, it’s kind of reversed. Schools spend more money on high school science than they do on high school math. but even still, at the high school, it’s less than $7 per student. Which is not a lot of money being devoted to thinking about all the materials, supplies, chemicals, et cetera, that you need to teach science well, at the high school level. More disturbing is the fact that, you know, we were talking about inequities before, schools that serve less well-off communities spend less than schools that serve wealthier communities, by quite a big amount.

Eric Cross (21:46):

So essentially the per-student thing just kind of popped out to me: So, like, an expensive Starbucks drink is what we’re spending on science per student.

Eric R. Banilower (21:57):

At the high school level. Yes.

Eric Cross (21:58):

At the high school level. And I get those catalogs in the mail, from all of those big science companies. You can’t get much for seven bucks. At least, nothing high-level. And I know I do a lot of 99-cent store science. I go down the street, go to the 99-cent store. Thankfully we could do a lot of awesome science with just, you know, cheap things. But a lot of the higher level experiences, they’re pricey. But the experiences are so rich! And $7 at the high school level is nothing. It’s not much at all.

Eric R. Banilower (22:28):

Yeah. It is definitely, you know, kind of shocking to think about what we’re investing in our children’s future.

Eric Cross (22:37):

Now, just to put you both on the spot, ’cause I feel like that we’ve identified some…we’re seeing a trend here, we’re seeing a pattern. We’re talking about, you know, being science teachers. There’s a pattern going on here. Do you think it’s fair to characterize science as the underdog?

Courtney Plumley (22:52):

I think in elementary school, it is a fair statement. Because, like we said before, I mean they’re gonna preference math and ELA almost all the time. I mean, the other thing you’d asked a little bit ago was about professional development, too. And we do have some data on that. And we ask teachers, you know, how much science professional development they’ve had in the last three years. And nearly half of elementary teachers said none. And I know I didn’t have any science professional development. If I was gonna pick from among the catalog, I was picking one that I needed more, like math. Math and ELA. I keep making that statement, but just over and over, it’s the truth.

Eric Cross (23:31):

And going back to what you said earlier, because that’s where the accountability was, right? And that kind of came top-down.

Courtney Plumley (23:38):

Yes.

Eric Cross (23:38):

And influenced everything else.

Eric R. Banilower (23:40):

Yeah. Now, really interesting thing that we did, a year or so ago, ’cause someone asked us, you know, “Hey, could you look at this?” is we compared elementary science instructional time among states where science counted towards accountability versus states where science doesn’t count towards accountability. And at the upper elementary grades, more time was spent on science in schools in states where they had science accountability. Now I’m not arguing for adding science to accountability systems. But that’s a pretty telling piece of data.

Eric Cross (24:19):

What gets measured gets done.

Eric R. Banilower (24:20):

Yeah.

Eric Cross (24:20):

Or what was getting evaluated was getting done. And that raises, that opens up a myriad of other questions about testing, and what that reveals, and all of those different things. But at the end of the day, what you’re finding is that the things that were getting tested were the things that were getting the priority.

Eric R. Banilower (24:36):

That’s right.

Eric Cross (24:37):

How did we get to this point? And Eric, you said it goes back at least to ’77, but we look at society and we’re…I wanna say we’re post-pandemic, but we’re we’re not. but we’re trying to, we’re trying to get past that. But we’re looking at…we had innovations in biology, we have innovations right now in green energy and electric cars and all of these things that are STEM-based. We know that these are things that have moved humanity forward. And we look at the pipeline of people who are in STEM and we, we see the disparities and things like that. Why was science given less of a priority? I’m just curious. Maybe, Courtney, we could start with you, if you have any ideas. Or Eric. Either one. But how did we get here?

Eric R. Banilower (25:22):

<laugh> I think Courtney wants me to take that one. I’m older so I’ve seen more <laugh>. So, you know, I have the gray hair. She doesn’t. I think it’s complicated. And I know this sounds cliche, but but schools are a reflection of society, right? And, and so science education, you know, if you think back when Sputnik was launched, there became this great demand in America to improve and produce more scientists and engineers in response to this Cold War threat. Right? And then in the ’80s there was rising, oh, the gathering storm was an economic argument that we needed to increase science and math, you know, education and people going into those fields in order to compete economically against the global competitors. And I think that America has always produced a fair number, a large number, of high-quality scientists and engineers, you know. And we still lead the world in many ways. But where we’ve identified as a problem is who has those opportunities to go into those fields. You know, it used to be a very select, a very male-dominated, white male-dominated field. Right? And other people didn’t have the opportunity, or they were shown the way out pretty early. And we, I think, have come to realize as a country that, you know, the, the greater the diversity of thought that we can get into these discussions, the more innovative we can be and the more productive as a society we can be. And so I think we’ve had this shift in the country to, instead of thinking about just the quality for the select few, but to be thinking about the quality for everyone. And so that makes it seem like some of these challenges are greater than they used to be. And I think they’re different challenges, right? We’ve evolved as a society and I think schools have evolved.

Eric Cross (27:40):

There is a conversation I was in on a plane with a person who was a materials manager for a company that made the adhesive for sandpaper. And we were flying…I was flying to Denmark and he was flying to some other Scandinavian country. And we were just talking about it. And he came from another industry, and somehow the conversation led to science. I don’t know how that happened. But somehow I just started talking about science and I asked him about, Eric, kind of what you said about the US kind of leading the way in science innovation versus the rest of the world. And I asked him why. And he said one of the reasons why is because the heterogeneous thought. The different groups of people that are coming to a problem actually create more innovative and novel solutions. Versus when it’s more homogeneous. And everyone’s either culturally or just for whatever reason, kind of thinks a certain way. While they might have a more efficient way, the variety of solutions are not as varied and not as novel. I was reminded of that story based on what you just said. So it’s really interesting. So it seems to be that it benefits if we have more heterogeneous groups, more folks who are contributing to STEM, because that’s gonna be solving the next problem more efficiently. Or I guess maybe in my head it seems like the next we need…we do really well when we have a dragon to slay. I mean, it seems like we come together when that’s the case, right? Like, I dunno.

Eric R. Banilower (29:06):

No, I think that’s…I think that’s accurate.

Eric Cross (29:09):

Later on the season of the podcast, we’re gonna explore ways to better integrate science with other subjects like literacy and math. Were you able to study at all any more integrated approaches to science instruction? Does any of your research support that approach?

Courtney Plumley (29:25):

Not on the national survey, we didn’t study that. And it’s something that we’ve talked about before, because it’s difficult to get teachers to…we were talking about instructional time. It’s hard for teachers to put a number on it when they’re integrating, because, you know, it’s not like I have my science block from 3 to 3:30 anymore. Now it’s kind of scattered about. But it’s something that has been in the ether. We’ve been looking at it in a couple of projects. So there’s some evidence that it can be effective, especially for getting more, you know…the idea is you can get more time for science if you are integrating with other subjects. But one thing to kind of caution is like, students need to have opportunities to learn each discipline when they’re doing integrated instruction. So you don’t wanna just have, like, math in your science. Kids already know to just, like, support it. Then it’s hard to take time from math to put it into science when they’re not actually learning anything new. That’s the easy thing to do, though, is say, “Oh, my kids already know how to measure. We did that in a previous unit. So now we’ll we’ll do it as part of our science instruction.” So it’s a lot of work to make it so they’re learning something new, mathematics and science, at the same time. And it’s not really something that we think that teachers should be having to do on their own, with all the other things that teachers have to do. The last thing they need to do is be creating their own, you know, curriculum. Something that’s already…you know, it’s not straightforward. So we’ve been talking about it, we think it’s really something that instructional materials maybe need to be focusing on instead of teachers having to do that on their own,

Eric Cross (31:01):

Teachers would implement it, but asking them to create it is a whole different thing, and it’s a huge ask.

Courtney Plumley (31:08):

Yes.

Eric Cross (31:08):

Yeah. And, did I hear you right? So the ideal situation would’ve been the students learning a newer math concept, but embedded in a science kind of context? Or was that the better way? Versus, “I’m gonna take a math concept they already know and then just put it into the science setting?”

Courtney Plumley (31:26):

Well, if the idea is that you can get more science time if you’re, you know, integrating things, so you can maybe take time away from a specific math block by putting it with science, or whatever, then if the math is something that the kids already know, now you’re just taking away. I think that that has to be new in both cases, in order to justify having more time.

Eric Cross (31:49):

Right. Eric, in the secondary level, any thoughts on that? On integrating these disciplines together?

Eric R. Banilower (31:56):

I think, you know, just like at the elementary level, it can be challenging to do it well. When I taught, I taught my last couple years in a kind of school-within-a-school kind of situation, where our goal was to try to integrate science, mathematics, and language arts. And it’s hard to do that in a meaningful way. And we did not have curriculum materials given to us to help us do this. We were trying to figure out how to do this on our own, while we were teaching 200 kids a day in our subjects. Right? And five preparations. And you know, it’s a big ask of any teacher. And there are teachers who thrive on this and are great at this. And, you know, that’s one thing I wanna, make clear: our data is about the system, and we are former teachers. Almost everyone who works at Horizon is a former teacher. We have the greatest respect for teachers and what they do. And what our data is showing is are kind of like areas where the system isn’t providing teachers and their students the opportunities to do great things. I think at the high school level, there has been this idea of project-based learning where students are bringing together different skills, different ideas from across disciplines. And I think there’s, again, a lot of potential in doing that. But trying to develop those experiences so that they are doing service to the different subjects, so students are learning what they’re supposed to learn in English Language Arts, that they’re learning, important mathematics, and that this is in a science context, where they are getting to do and understand what science is and how science, as a discipline, operates…that’s just a really hard thing to develop.

Eric Cross (33:53):

So what I’m hearing—and I really appreciate the nuance in this, because it’s not a simple “Yes. Integrated is better,”—I’m hearing “Yes. Quality control.” “Yes. It needs to be written not by teachers; they’re the practitioners.” It’s “Yes. And,” not just simply binary. Which…it’s so easy to wanna chunk things and say yes or no on things. But this one seems a much more nuanced approach. And in a future episode, you mentioned project-based learning, we’re gonna try and talk to people who have thoughts on this. And I really appreciate that you talked about project-based learning, because also, how do you evaluate that? How do you evaluate whether or not it is high quality? Is this is something I see? You know, high-quality standards, highest quality science teaching, highly qualified teachers. It’s something that I see often. Now, based on all your research, this is kind of the 30,000-foot view. What advice might you have for people who are thinking about changing the way science is taught in this country? Which hasn’t changed since 1977, at least since we’ve been measuring it. Any advice for people who do want to act? Another way to ask, it might be, if you were given a magic wand, <laugh>, you have all power, what might you do if you can control the entire vertical system?

Eric R. Banilower (35:07):

Yeah, so a clarification, I do think science instruction has changed. It has evolved. I think there’s a lot of really good things going on in different pockets of the country. One of the challenges is bringing those good ideas and good practices to scale. Right? There are approximately 1.2 million teachers of science K–12 in this country. That’s a lot of people. And about 80% of those are elementary teachers who are responsible for teaching other subjects as well. So my thinking is often about, “How do we take what we know and that we’ve learned through decades of research is effective, and impact a large number of teachers, and therefore a large number of students?” And you know, Courtney I think has hinted at this already. And you’ve mentioned it too, Eric, is that teaching is a profession, right? And it’s a craft. But in no other profession do practitioners have the expectation that they’re developing their own tools and methods for their work. I know when I was in my teacher preparation program, and it’s still extremely common, one of the assignments perspective teachers are given is to develop a unit and develop a lesson, right? You don’t have doctors being asked to develop new treatments and new tests to use. Their job is to get to know their patient, assess what’s going on, and then using research-based methods to develop a plan of action, right? And I think that analogy works really well in education and is a way that we could have a scalable approach for kind of raising the floor across the country for the quality of science education. Giving teachers research-based materials, high-quality instructional materials, that they can then use and adapt to meet the needs of their students, would allow them to focus on getting to know their students, seeing what their strengths are, seeing where they have room for growth, and using the materials they’re given to help those students progress. And I think that is definitely a way where we could have a big impact at a large scale.

Eric Cross (37:39):

Courtney, same question: Magic wand, all power. You can change systems from the elementary perspective. What would you do? I’m assuming part of it’s gonna be changing that 18 to 20 minute time. But even for that to happen, what would you do? What would you change?

Courtney Plumley (37:57):

Well, I don’t know. Like, for it to change, I don’t know the answer to that. But yes, increasing the time would be great. And like Eric was saying, giving teachers— ’cause again, I’m coming in, not enough probably background in science—and then, you know, when I was, when I was teaching, we had one set of textbooks for the entire grade. Six classes, right? Like, share them. But third graders aren’t gonna read textbooks anyway, right? So instead I’m going to the teacher store. I’m pulling things off the shelf. And like, “OK, yeah, sure, I’ll use this.” And nowadays, teachers are going to Teachers Pay Teachers or whatever. Because I didn’t have anything good to use. So like Eric is saying, if I had instructional materials that were good instructional materials that were gonna teach my kids, that they were gonna be engaged, that they weren’t sitting and listening to science, but they were doing science, you know, and I had professional development to actually help me do it? That’s what I think we need to have. And I mean, I know there are some people out there that are working on that, but it’s not a lot. I mean, if you look at Ed Reports, they rate how well-aligned science curriculum are to standards. And there are two right now that have Ed Reports green lights. There’s Amplify and there’s OpenSciEd. You know, so there’s not much out there for teachers to use. And, so it’s hard. It’s hard. Where am I gonna go and get this stuff if it doesn’t exist? And so I’m making it up by myself. Which we already said is not the best use of teachers’ time, when they’ve got so many other demands on their time.

Eric Cross (39:27):

Eric and Courtney, listening to both of your responses, it created a visual in my mind. And Eric, I loved your analogy of…I started thinking of a chef, a welder, and a farmer. And I thought about the chef saying like, “You’re a great chef! Now, can you go farm, and make your own food, so that you can cook it?” Or the welder who has to make his own welding tools and go smelting. You know, making the different rods. I’m not a welder. But you know, all those different parts. Or the farmer who has to build his own tractor and innovate all that stuff. You’re absolutely right, the way you articulated that. And then Courtney, you essentially said, “Give them the tools and then teach them how to use it so they can go and actually be effective with it, because you’re in front of kids doing so many different things.” There’s only so much time in the day, and teachers want to do these things; they want to, but you end up having to triage when you’re asked to. Going back to Eric’s analogy, if you’re in the ER, but you’re also creating the vaccines and you’re also doing the research on which types of vaccines are gonna be the most effective, that’s, that’s a lot to ask. And so, I appreciate both your responses on that. Now, last question, what are you both working on now? This report came out in 2018. What’s, what’s next on the horizon? Actually literally, that’s no pun intended. <laugh> What’s next? <laugh> What’s next for, for you both? What are you working on?

Eric R. Banilower (40:42):

Well, you know, we would love to do another national survey, in a few years. We have to get funding to do it. And you know, that’s always something that takes effort and isn’t a guarantee. We’ve written grants to do these studies in the past, and there’s also the dealing with the reality of the situation. I think a lot of schools, still coming off the tail end of dealing with Covid, are overwhelmed. And we’ve had a hard time, I mentioned before, recruiting schools, and it gets harder every time, just ’cause they have so much on their plate. And I couldn’t see going to a school now and saying, “Hey, one more thing. Do you mind?” So I think we have to kind of wait a little bit for things to settle down before we can do another one of these studies. It just doesn’t seem feasible right now. But we’d love to in the not-too-distant future. Other than that, Courtney and I actually work on some projects together and some projects not together. One of the things that we’re working on together is a study of a fifth grade science curriculum that was developed by Okhee Lee at NYU and her colleagues, that is both aligned with the NGSS and purposely designed to support multilingual learners in developing both their science knowledge and skills as well as their language skills. And we’ve been working with the crew at NYU to study this curriculum and try to figure out, how well it’s working and under what circumstances. So that’s been a really interesting project that’s going on right now.

Courtney Plumley (42:26):

I recently worked on a report with the Carnegie Corporation in New York that actually I think, compliments what we’ve been talking about a lot. It’s about the status of K–12 education in the US—or science education in the US! <Laugh>—and so as part of that report we interviewed like 50 science education experts across the country. We surveyed teachers, people in the university settings, researchers, and everything to kind of get a little bit more update of the state of science education right now. And so a lot of the things we’ve been talking about, we still are talking about with the people in this report four years later. So, work in progress. <Laugh>

Eric Cross (43:09):

And again, going back to 1977, based on what Eric was saying earlier, we’re looking at these large systems, these systemic changes don’t happen overnight.

Eric R. Banilower (43:20):

That’s right.

Eric Cross (43:21):

It’s very slow-moving.

Eric R. Banilower (43:22):

That’s right. I would say there is progress. I think we’ve learned a lot. We are getting better. Are we there yet? No, we’re not happy with where we are. But I think, you know, I think it’s important to be hopeful about the direction things are going in.

Eric Cross (43:37):

Well-said. I agree. Courtney. Eric, thank you so much for unpacking that report that speaks to, that validates what so many teachers across the country are experiencing. And thank you for your advocacy for high-quality science education and your passion for supporting teachers and being that voice from a data-driven perspective of what teachers experience and then advocating for solutions for them. It’s super-encouraging for me, and I know it’s gonna be really encouraging for a lot of our listeners. So thank you.

Eric R. Banilower (44:10):

Thank you for having us.

Courtney Plumley (44:12):

Yeah. Thank you, Eric.

Eric Cross (44:15):

Thanks so much for listening to my conversation with Eric Banilower, Vice President of Horizon Research, and Courtney Plumley, Senior Researcher at Horizon Research. For much more, check out the show notes for a link to the 2018 National Survey of Science and Mathematics Education. And please remember to subscribe to Science Connections wherever you get podcasts, so that you’re not missing any of the upcoming episodes in Season three. Next time on the show, we’re gonna start laying out the road map for using science more effectively. And we’ll start by looking at the how and the why of integrating literacy instruction.

Susan Gomez Zwiep (44:49):

When we look at Science First and build language development around it, the experience tends to be more authentic and organic.

Eric Cross (44:58):

That’s next time on Science Connections: The Podcast. Thanks so much for listening.

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What Eric R. Banilower says about science

“Our data is showing us places where the system needs to provide teachers and their students the opportunities to do great things.”

– Eric R. Banilower

Vice President of Horizon Research, Inc.

Meet the guests

Eric R. Banilower is a Vice President at Horizon Research, Inc. (HRI), and has worked in education for over 30 years. Eric was previously a high school physics and physical science teacher before he joined HRI in 1997, where he has worked on a number of research and evaluation projects. Most recently, he has been the Principal Investigator of the 2012 and 2018 iterations of the National Survey of Science and Mathematics Education, a nationally representative survey focusing on the status of the K–12 STEM education system.

A middle-aged man with light hair, glasses, and a short beard is smiling, wearing a plaid shirt. The photo has a circular frame with a star and decorative lines.

Courtney Plumley is a Senior Researcher at Horizon Research, Inc. She began her career in education as an elementary school teacher before starting at HRI in 2009. In her time at HRI she has worked on many K-12 STEM research and evaluation projects. Most recently, Ms. Plumley has worked with Carnegie Corporation of New York on mapping the landscape of K-12 science education in the US and is managing the field test for the OpenSciEd elementary materials.

A woman with wavy brown hair and a red top smiles at the camera, framed by a circular graphic with a star and accent lines.
A laptop screen displays the “Science Connections: The Community” private group page, with science-themed icons decorating the background and edges.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. 

S2-05: Moving students forward with project-based learning

A promotional image for the podcast "Science Connections" featuring guest Janis Lodge and the topic "Moving students forward with project-based learning." Season 2, Episode 5.

In this episode, Eric Cross sits with K–5 educator Janis Lodge to chat about building on her own science curriculum to create meaningful project-based learning experiences. Janis shares her work teaching Gifted and Talented Education (GATE), and how to use those practices to help accelerate the learning of all students. Eric and Janis also talk about making time for science within K–5 classrooms. Explore more from Science Connections by visiting our main page.

DOWNLOAD TRANSCRIPT

Janis Lodge (00:00):
To me, the reward of having those kids feel like they accomplished something and the way that they can take ownership of it and go in so many different directions, I cannot take that away from them. That’s such an opportunity that if I have the means to do it, I have to just take it and run with it.

Eric Cross (00:18):
Welcome to Science Connections. I’m your host, Eric Cross. My guest today is Janis Lodge. Janis is a third-grade teacher in Orange County, California, with a specialization in gifted and talented education. Recently, Janis was awarded the Orange County Council for the Gifted and Talented Education Classroom grant. This grant funds a project that provides an extension to her third-grade science unit about environments and survival. Through this project, students will think like a biomimicry engineer as they design a robot that is inspired by an innovation found in nature. In this episode, we discuss how she uses interdisciplinary teaching practices to make time for science learning; why gifted and talented education strategies can benefit all students; and her process for creating a problem-based lesson that ultimately earned her a grant for her classroom. And now, please enjoy my conversation with Janis Lodge. One, welcome! Thanks for being here.

Janis Lodge (01:14):
Of course, I am happy to do it. I’m excited for the opportunity.

Eric Cross (01:17):
Of course! Yeah. Elementary school teachers in science, I feel like there’s so many things to have conversations about. And some of the things that you’ve really focused on, I think, are, really, really important. But I wanna start off with your journey of you becoming a teacher in the classroom. And so, would you kind of give your background, your origin story? How did you end up as a third-grade teacher?

Janis Lodge (01:37):
Well, my story is definitely not a traditional story. Before I was a teacher, I was actually living in Maui, Hawaii. I moved there right after college. I went to Chico State in Northern California. And I got a degree in graphic design. And after I graduated, well, I should give a little bit of a backstory. My last summer before graduating, I spent the whole summer in Maui and I just fell in love with it. So when I graduated, I decided instead of applying for jobs in Northern California, I’m just gonna put some resumes out in Maui and see if I can get a job. And I did. I ended up getting a job doing graphic design and marketing for a kite surf company out there. And I ended up just staying for seven years on the island. And after about seven years, I kind of got a little bit of island fever and decided I wanted to come back to California. I wasn’t sure exactly what I wanted to do, but I just had this calling that I need to do something a little more fulfilling with my life. And I started thinking about different ideas and dreams I had. And I actually started thinking about when I was younger, right? I had this dream. If you were to ask me when I was 10 years old what I wanted to be when I grow up, it would be elementary school teacher.

Eric Cross (02:48):
Really?

Janis Lodge (02:48):
Believe it or not. When I was younger, I transformed my bedroom into a classroom. My stuffed animals were my students. I just thought I’m gonna be the next best teacher ever. And you know, as I went through life and kind of went in different directions, I kind of lost sight of that dream a little bit. But for some reason, when I decided to change careers, I just remembered that. And so I just decided to go get my teaching credential and see if it worked out. And it was probably the best decision I made. I feel like everything just fell perfectly into place. I ended up getting a job at an amazing school, and now, five years later, I’m a third grade teacher.

Eric Cross (03:28):
So one of the questions I have to ask, and talking to elementary school teachers, this comes up a lot: How do you make time for science as an elementary school teacher who’s teaching everything? And let me kind of premise this with, at least for those of us in California, and I’m sure the rest of the states too, but we know this; There’s kind of this pressure with pacing and then even, depending on what school you’re at, math and English tend to get the bulk of things. And maybe there’s this perception also of like, well, I gotta teach math and English, and sometimes science gets put to the back burner for different reasons.

Janis Lodge (03:57):
Well, you’re exactly right. The beginning of the year, we were provided with a pacing from the district. And you know, they try to keep us on track, saying, “You should be starting Unit 2 at this time.” But other than that, there’s really no specific guidelines of how many days we’re supposed to be teaching or for how long. But one kind of secret that I’ve discovered is that I can weave science into the other subjects, specifically with language arts. So quite often what I do is I take a look at the language arts standard, and if it’s identifying the key details and the main idea, well I can do that with the science books used from the curriculum. So I’ll just pull those readers and we’ll do the exact same skill, start with the same standard, but we’ll use the content from science. By doing that, we call that kind of like interdisciplinary study. And the students really enjoy that more, too, because they’re using the same skills but they’re diving deeper into the content.

Eric Cross (04:54):
Right.

Janis Lodge (04:55):
And so also that helps build the background knowledge. So then when it comes to time where, if I want to do a science lab or a science investigation, now they already have that background knowledge ’cause we already dove deep into the reading and they can apply that pretty quickly right away into their lab or whatever activity they’re doing.

Eric Cross (05:12):
Can you give an example maybe of how you might pull out something that might be a skill that you’re trying to develop, maybe in an English content, but you would pull that out in a science lesson, maybe? What would you do?

Janis Lodge (05:25):
We’re actually doing that right now. So we’re in our second unit of science and they’re studying inheritance and traits and they’re looking at different organisms to see how they have adaptations to help them survive in their environment. So coincidentally part of the literacy skills is to look at multiple sources, do research, and summarize and make analysis of what they’re reading. And so we have different varied resources. I have websites; I have books, ebooks, videos, and pictures. And they’re choosing which four sources they want to use. And then, then they’re coming up with a summary at the end and then putting together a Google Slides presentation based on whatever organism that they chose.

Eric Cross (06:05):
Did you have a science background before becoming an elementary school teacher?

Janis Lodge (06:11):
Um, none. Besides what I, you know, took in high school and college.

Eric Cross (06:16):
Did you find it easy to kind of lean into the science, or was it something you just kind of jumped into and said, “All right, I’m gonna get after it”?

Janis Lodge (06:23):
What’s interesting is if, you know, throughout my education, my favorite subjects were English and reading and writing and art. And quite honestly, science wasn’t my favorite subject. But I think because of that, that inspires me to come up with creative ways of presenting the information to them and making it exciting and engaging for them, because I don’t want them to feel that way. I want them to be excited about all subjects. And I think that’s the beauty of combining the different subjects like I mentioned before. Like I say, you know, “What would a scholar do? Think like a wildlife biologist. And like with my project, think like a biomimicry engineer.” And so it kind of shifts their thinking. Like, it’s not just, “Oh, we have to study science.” It’s like, “No, you are the scientist; you are a meteorologist; or you are an author. How would an author write about this? How would an illustrator capture this in a photo or a comic strip?” And so, when you really combine those disciplines, you can take it to another level. So even if science isn’t their favorite subject, like maybe it wasn’t for me growing up, they can still take something they’re passionate about and apply the science content to it and they really resonate with them.

Eric Cross (07:37):
You leaned into your strengths. Which are more like, coming into it, you had all these kind of creative strengths. You have that background as a graphics designer. You were into the arts. But then with those strengths, did that kinda give you more confidence to dive into the science work, because you approached it from your assets that you were already coming to the table with?

Janis Lodge (07:55):
Yeah.You said it perfectly. If you look at it from a different lens, there’s all these different ways you can approach science.

Eric Cross (07:59):
I find it in my own science class, too. We’re all teaching the same standards. But how I approach it is through Eric Cross’s kind of personality and understanding and my angle, and another teacher might do it a different way. But we’re all leading to the same destination.

Janis Lodge (08:14):
Exactly.

Eric Cross (08:15):
That kind of leads me to my next question, and this is having to do with the project that you just alluded to. The biomimicry project. So you did a biomimicry project. Would you consider that like a project based-learning assignment?

Janis Lodge (08:26):
Well, this will be the third year that I’ve taught this unit. And when I wrapped it up last year, it’s through the Amplify Science program, and they do a wonderful job of having a lot of investigations and really thinking like a biomimicry engineer. But the final part of the unit was to design a robot inspired by a giraffe, to eliminate invasive plants in a particular environment. And the project part of it at the end was to create a model using Popsicle sticks and pipe cleaners. And then the other part of it was a digital simulation where they would put in different shape structures of teeth, and kind of reconfigure the shape of the mouth. And then they’d put in what they think is effective, and then the computer would say, oh, you’re 98% successful or 70% successful. And I remember at the end of it the students were like, “OK, well when do we make the robots?” And I thought, “Well, we’re just doing the simulation, or we’re just doing this model out of Popsicle sticks; we’re not actually gonna make a robot.” And they just seemed so disappointed. And that’s kind of how the wheels started turning my head like, “Well, what if they actually could make a robot? The only thing stopping me is I don’t have the materials to do it.” So, shortly after that unit wrapped up, coincidentally I saw the email about this grant opportunity that was being offered through the Orange County Council for Gifted Education. And they said, If you have a project that you wanna get funded that would promote GATE strategies within the classroom, then you can submit this proposal. So that’s how the ball got rolling for that proposal. And I researched different robotics kits and different companies and I found one that was really user-friendly for third graders, and not so difficult for me to learn as well.

Eric Cross (10:10):
You’re a risk taker. Like, I’m already seeing this as I’m talking to you. Is that just who you are or do you have a network? Like what keeps you taking these risks?

Janis Lodge (10:18):
I don’t really consider it a risk, because it’s exciting for me. Like I said, I don’t know that much about robotics, but the idea of learning more and then teaching that to my students is exciting. And you know, there was a little bit of risk ’cause I’m deviating a little bit from the curriculum, from the standard lesson, but to me, the reward of having those kids feel like they accomplished something, and the way that they can take ownership of it and go in so many different directions, and on top of that, develop coding skills and computer science skills and robotic skills, to me it was just like I cannot take that away from them. That’s such an opportunity that if I have the means to do it, I have to just take it and run with it. So I think just being inspired by the potential outcomes of what could happen is what made me take that risk.

Eric Cross (11:05):
Did you just kind of create this from scratch? Did you work with a team of people? How did you come to the point where you were ready to present this for the grant?

Janis Lodge (11:12):
Pretty much from scratch. Like I said, the Amplify unit, it does teach them about robotics that were inspired by nature. So some of the materials that they read, and there’s some videos that show really great examples. There’s like a robotic arm that was inspired by an elephant trunk. There’s a book that shows what this field is, biomimicry engineer, they actually show like what they do in that field. And I thought this is a perfect way to apply it because the curriculum’s already pretty much set it up for me; now I just have to add this one final component to it. And essentially it becomes project-based learning at that point, because they’re taking their knowledge and their skills that they’ve learned up to that point. Even the unit that we’re doing doing right now is building up to it. So it’s kind of that final—instead of giving them a test at the end and saying, “OK, tell me what you learned about inheritance and traits and environments,” they can actually take that knowledge and apply it to an innovation or creation that comes out of their own mind, which is so much more powerful.

Eric Cross (12:11):
Do they connect to any other learning goals as they’re doing these projects?

Janis Lodge (12:15):
Well, I think first and foremost, the 21st century skills that from day one I tell them, the four Cs: collaboration, creativity, communication, and critical thinking. All of those are woven in through this lesson. From the beginning, we talked about the whole engineering design process. So from the beginning, they start with a question and oftentimes that actually can be the hardest for them to think about, “What’s a scientific question or a problem that I wanna solve?” If they’re passionate about, maybe, a sport or the environment or something within their school, I go, “There it is. OK, that’s the problem. How can you design something inspired by nature to solve that problem?” And then, from there they go into the planning and the designing and the testing and then the improving. So going through that engineering design process, I think, is what really makes them feel like they are the engineer going through this. And they can make mistakes. They can take risks. A lot of my students I’ve found are afraid to take risks. They wanna make sure they succeed. And they need that challenge to know that if they do fail, that’s OK. We can just revisit this. We can test it. We can look at it in a different way.

Eric Cross (13:27):
You maybe wonder about, how do you assess something like this?

Janis Lodge (13:30):
I think that’s where all those stages along the way are important. Because I wanna make sure that they have a plan and that it’s based on the knowledge that they’ve gained in the unit. I think one of the other things about project-based learning is the final product of how they demonstrate their mastery. And in my classroom I oftentimes give them a choice of how they’re gonna present that to me. So maybe they’re going to write it out like an essay. Maybe they’re gonna create a Google slide. Maybe they’re gonna make a video. Maybe they’re going to—obviously in this part they will have the model, but they’ll have to have some way to explain it to me. And I think giving them that choice gives them the opportunity to show it in the way that’s meaningful to them.

Eric Cross (14:14):
And are you using like a rubric when you’re grading these assignments? Or, how do you actually grade it?

Janis Lodge (14:20):
Yes. So we have a rubric that’s provided to us for the written component that all the students will do at the end. But I can take that same rubric and see if they’ve applied that to the project. So even the verbiage wouldn’t really need to change. I think it’s still important that the students are able to demonstrate this in written form and so all of them will still complete that written component, but to also give them the opportunity to show that in the modality of their choice. I think is really important too.

Eric Cross (14:48):
Right. And you have some students that feel much more comfortable being able to present orally versus—

Janis Lodge (14:53):
Exactly.

Eric Cross (14:53):
—versus writing versus maybe doing a video. I mean, we see that in middle school and in high school too. Students show their knowledge or their understanding of a topic depending on the medium in different ways, and some better than others. Some may find that they can communicate it a lot better orally, but when pen goes to paper or fingers go to keyboard, you might grade it completely different, ’cause they’re not able to transfer what’s in their mind into writing. And the way you’re doing it, and giving that student choice, they probably have so much more buy-in, I’d imagine, because they get to pick what they get to do.

Janis Lodge (15:21):
Right.

Eric Cross (15:22):
You said something earlier and I wanna come back to it. So you mentioned GATE, and GATE is not something that I hear a lot in my world, but it was something I heard a lot when I was in school. There were kind of all of these perceptions and ideas about GATE. You’re a GATE teacher, correct?

Janis Lodge (15:38):
Right.

Eric Cross (15:39):
What is GATE, and what is it like being a GATE teacher? What are the misconceptions, if any, that you might have heard or come across?

Janis Lodge (15:46):
Well, so GATE stands for Gifted and Talented Education. And first and foremost, I think a misconception is that we’re just kind of doing whatever we want; we come up with our own lessons and teach a totally different curriculum. Which is definitely a myth. Because we start with the exact same standards as any other third grade class that you’d walk into. That’s definitely where we start. But I think in addition to the standards, we also implement what are called GATE standards: So they’re Depth, Complexity, Acceleration, and Novelty. And there’s a lot of tools that we use in the classroom, different strategies. You’ll see things like the prompts of Depth and Complexity. We’ll use things like “think like a disciplinarian”; I’m doing “think like a biomimicry engineer.” But really, all they are are just thinking tools and strategies to elevate students thinking and kind of go below that surface level of the content to dive deeper. It also provides opportunities for acceleration. So for example, our last science unit, it was on magnetic force, and there was a handful of students that just grasped the concepts right away, and they’re ready for something else. They’re ready for more rigor. They need some challenge. And so at that point I can kind of pull that group aside and provide some differentiation for them. And I said, “OK, well, you understand the concept of magnetic force, balanced forces. So now what I want you to do is think about something that you’re really passionate about, and how could you use magnetic force somewhere in that field—again to solve a problem, problem-based learning—and present it to me?” So they create this form, it’s like a “think like a disciplinarian” frame, and one of them was “think like a hockey player.” And he’s trying to think of a way that he can incorporate magnetic force. Anyway, I could go on and on. But basically it’s finding what these students’ passions are. And I do that with all my students. And I should probably preface this by saying that even though these are standards that I implement in my classroom because it’s a GATE classroom, these are practices and tools that can be applied to any learner, at any age. And they really just enrich the education for all students.

Eric Cross (18:02):
So your classroom is, is a mixed classroom. There’s GATE students and then general—

Janis Lodge (18:05):
Right.

Eric Cross (18:07):
—students, non-GATE students, in the same class. It’s interesting because I imagine GATE is kind of scaffolding up to a higher level, but then, you also said something that I’ve noticed when I’m creating scaffolds for my students to support them, who may not be at a grade level, maybe in reading or literacy or math, those same scaffolds can help all students.

Janis Lodge (18:27):
So yeah, I don’t just go, “OK, you’re my GATE students; I’m gonna use these practices on you.” I use it for the whole class. But I’m also surprised by having that mix of these different learning styles. A lot of times students are inspired by other students, or, you know, we have this big thing about one of the prompts is Multiple Perspectives. I try to do that as much as I can, because students are inspired by the ideas of their peers. And quite often, if they hear it from a peer, it could be exactly what I just said, but they heard their student say it in a different way and it just clicks and they’re like, “Wow, I get that.”

Eric Cross (19:00):
I think a lot of teachers struggle or, or maybe feel ill-equipped, to support higher-level students. Did you get trained to be a GATE teacher? First lemme ask that question: Did you get special training for this?

Janis Lodge (19:13):
Yes. I went through a course, I think it was like a six-week certification course, through my district.

Eric Cross (19:19):
OK, so you got a special training, which—I’ve been in the classroom for nine years; I teach at a university as an adjunct professor; but I’ve never been trained on teaching gifted or accelerated students. And I’m kind of wondering now, like, do you feel like it made you a better teacher?

Janis Lodge (19:33):
Absolutely.

Eric Cross (19:34):
And if so, how do I get to do this?

Janis Lodge (19:36):
Well, it’s through the county. I mean, anybody can get trained and certified how to teach this way. But, just like you said, I think coming out of that, my eyes were just open, and my biggest takeaway is that these practices, even though they are designed for gifted and talented, it really kind of reshaped my thinking about how I, number one, present material to the students, that I’m doing it in an engaging way, and I’m not just lecturing at them; there’s opportunities for them to collaborate and communicate and use multiple resources. So, you know, how I’m teaching has changed. And then also, how I’m providing opportunities for them to demonstrate their learning. And a lot of that is project-based learning, because once they have the knowledge and skills they need to do something with it. I mean, that’s really the true definition of innovation, is taking the skills or taking something that you’ve learned, and now go with it. Run with it.

Eric Cross (20:32):
How can we take what you’ve learned and then kind of spread it, so teachers have this in their toolkit, too? Like for me, I have multiple ways to be able to support reading and literacy and math and tools and sentence frames. And my students who have special learning plans, I have a have a lot of tool sets for that. I wanna build my tool sets for this other area for my students who want to continue, who wanna run, or go beyond, or even stretch themselves. I think we need to take some of the things that you’re doing and not make them kind of like this exclusive group, but also let’s share it with everyone, ’cause if everybody can access it—

Janis Lodge (21:03):
I agree.

Eric Cross (21:03):
—we might see a lot more potential or a lot more opportunities for students who might not otherwise have them.

Janis Lodge (21:08):
And one thing: My school, I’m really proud to say that my principal has seen that. You know, he’s like, “Well why are we just keeping this in the GATE classroom?” So he’s working on getting all of our teachers certified.

Eric Cross (21:19):
No, I love what you’re doing and your principal sounds, sounds awesome for doing that and recognizing that this can benefit more students than just the ones who, you know, pass the Raisin Test, I think it’s what it was called when I was taking it, or whatever it is back then.

Janis Lodge (21:31):
Exactly.

Eric Cross (21:32):
We’ve talked about project-based learning, the GATE classroom…I kind of wanna come back to you as we wrap up. Thinking about, like, the jobs that you and I do, and the people that listen to this podcast, we have one of the few jobs that people remember us for a lifetime. And I wanna ask you, who was someone that was maybe inspirational in your educational career, that inspired you, or is maybe one of the most memorable? You might have several…but who is someone that was memorable to you in your career, and why? Why were they memorable to you?

Janis Lodge (22:02):
Yeah. Well, obviously, when I was younger, I was definitely inspired by all my teachers. The fact that I turned my bedroom into a classroom…I just was just in awe of this profession. But I think one that really resonated with me was my junior year in high school. I was taking a newspaper class and the teacher was Mrs. Kavanaugh, and she really taught us everything from writing the articles to the editing, to putting the pages together. And I remember in that class I was working on this program called QuarkXPress. I don’t even know if it exists anymore. But I was just fascinated with putting all these pieces together that we’d worked on for so long and getting the articles, picking the pictures, the illustrations and the titles. And I remember her looking at me saying, “You really enjoy this, don’t you?” And I said, “Yeah.” And she said, “Well, I have a computer graphics elective class that you should take next year.” And I thought, “OK, I’d love to do this, this opportunity to expand my knowledge and my skills.” So because of that, I took the computer graphics class the next year and I just remember throughout the whole time, she was just constantly encouraging me and acknowledging my skills. And I find myself doing that as a teacher as well. ‘Cause that really resonated with me. And it’s funny, this summer I was going through some boxes of some old stuff from high school, and I found this handout that I had made, because I remember my senior year of high school, she said, “Janis, you know what? You’re doing such a great job; we have these new, incoming students coming into the newspaper class, and I’d love for you to actually teach them how to do this pagination on this QuarkXPress program. I want you to put something together and actually teach it to them.” I thought, “Wow, she believes in me that much that she’s gonna let me teach this to the incoming students.” But I think my takeaway from that was that she gave me the opportunity to take those skills and actually do something with them, to apply them right away.

Eric Cross (23:53):
Mrs. Kavanaugh. Miss Kavanaugh. Shout-out to Miss Kavanaugh. As you told that story, I heard you as a teacher because I’m hearing she’s applying these GATE strategies in that situation. That’s what that’s what I heard.

Janis Lodge (24:08):
Yeah, absolutely.

Eric Cross (24:09):
She personalized this learning. She created a specialized opportunity. You presented to a real audience that was authentic. It had this personalization in it and this rigor and this challenge and it made a huge impact. And it’s just amazing to listen to you and hear this come full-circle, and now you’re doing this with little ones. And I just wanna thank you for your time in doing the interview, sharing your story with how you became a teacher, your students, the projects that you do. And just like so many teachers, going the extra mile for your kids and bringing in these really important 21st century skills; they’re gonna be so much better off for it. And I know it makes my job easier when I get them in the classroom, so thank you.

Janis Lodge (24:49):
Yeah. Well, thank you for the opportunity.

Eric Cross (24:51):
My pleasure. Thanks so much for listening and we wanna hear more about you and the educators who inspire you. You can nominate them as a future guest on Science Connections by emailing STEM@amplify.com. That’s S -T-E-M at amplify dot com. And be sure to click subscribe, wherever you listen to podcasts, and join our Facebook group, Science Connections: The Community. Until next time.

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What Janis Lodge says about science

“The reward of having kids feel like they accomplished something and take ownership is such an opportunity [with project-based learning] that I have to run with it. Being inspired by the potential outcomes of what could happen is what made me take that risk.”

– Janice Lodge

3rd Grade Teacher, De Portola Elementary

Meet the guest

Janis Lodge is a third grade teacher in Orange County, California. Her career in education started six years ago when she decided to follow her passion of making a positive difference in the lives of young scholars. Prior to teaching, Janis lived in Maui, Hawaii for seven years, working in the field of graphic design, marketing, and hospitality. She has found that her interest in innovation, project-based learning, and inquiry-driven exploration has helped shape her into the educator she is today. STEAM is integrated regularly into her classroom, and her students continually develop 21st century skills through a variety of unique projects. ​​Janis is also a PAL (Peer Assistance Leadership) Advisor for her school, where she helps young leaders (4th-6th graders) cultivate their leadership skills and empowers them to make a positive difference in their school and community. Janis was recently awarded the Orange County Council for the Gifted & Talented Education Classroom Grant, which will provide an extension to the third grade Amplify Science Unit: Environments and Survival.

A woman with long blonde hair smiles at the camera; she is inside a circular frame with a small decorative star in the corner.

About Science Connections

Welcome to Science Connections! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher. Listen here!

Welcome to Grade 8

BACK TO MAIN 6–8 PAGE

Amplify Science California is so effective you can cover 100% of the NGSS in fewer lessons than other programs.
 
Plus, you can breathe a sigh of relief knowing we give you enough materials to support 200 students. In fact, our material kits:

  • Support small groups of 4-5 students.
  • Make organization and finding materials easy.
  • Last longer with only one of the nine kits requiring refills.
Collage of four images: a spaceship in space, hands using a glue gun on crafts, a solar panel connected to bulbs, and an illustration of a person surfing with neon effects.

What students learn

When you’re ready:

  • Find a summary of each unit below including each unit’s student role and anchor phenomenon.
  • Click on the orange “See how the unit works” link to download a helpful Unit Guide. These guides make great companions to busy reviewers looking for a big-picture understanding of how each unit works.
An illustration from the Harnessing Human Energy unit

Unit 1

Harnessing Human Energy

Student role: Energy scientists

Phenomenon: Rescue workers can use their own human kinetic energy to power electrical devices used during rescue missions.

An illustration from the Force and Motion unit

Unit 2

Force and Motion

Student role: Physicists

Phenomenon: The asteroid sample-collecting pod collided with the docking station and failed to dock as planned.

See how this unit works

An illustration from the Force and Motion: Engineering Internship unit

Unit 3

Force and Motion Engineering Internship

Student role: Mechanical engineering interns

Phenomenon: Designing emergency supply delivery pods with different structures can better protect pods and their contents.

An illustration from the Magnetic Fields unit

Unit 4

Magnetic Fields

Student role: Physicists

Phenomenon: During its third magnetic spacecraft launcher test, a model spacecraft far exceeded its target speed.

An illustration from the Light Waves unit

Unit 5

Light Waves

Student role: Spectroscopists

Phenomenon: The rate of skin cancer in Australia is higher than other parts of the world despite getting the same or less sunlight.

See how this unit works

An illustration from the Earth, Moon, and Sun unit

Unit 6

Earth, Moon, and Sun

Student role: Astronomers

Phenomenon: Pictures of specific features on the Moon can only be taken by an astrophotographer at certain times.

See how this unit works

Cartoon image of a yellow dinosaur among green dinosaurs, all with meat and vegetables on their backs, standing in a grassy landscape.

Unit 7

Natural Selection

Student role: Biologists

Phenomenon: The rough-skinned newt population in Oregon State Park has become more poisonous over time.

See how this unit works

An illustration from the Natural Selection: Engineering Internship unit

Unit 8

Natural Selection Engineering Internship

Student role: Clinical engineers

Phenomenon: Designing malaria treatment plans that use different combinations of drugs can reduce drug resistance development.

An illustration from the Evolutionary History unit

Unit 9

Evolutionary History

Student role: Paleontologists

Phenomenon: A mystery fossil at the Natural History Museum has similarities with both wolves and whales.

See how this unit works

How teachers teach

When you’re ready:

  • Scroll down and take a closer look at your classroom resources.
  • Click on the orange links below each component to see grade-specific samples.
Most adopted curriculum for the NGSS California

Classroom Slides

These customizable PowerPoints are available for every lesson of the program and make delivering instruction a snap with visual prompts, colorful activity instructions, investigation set-up videos and animations, and suggested teacher talk in the notes section of each slide.

Video introduction to Classroom Slides

Sample Classroom Slides

An educational website open on a laptop displaying a lesson about “ force and motion: docking failure in space” alongside a teacher’s guide notebook.

Teacher’s Reference Guide

Available digitally and in print, our unit-specific reference guides are chock full of helpful resources, including scientific background knowledge, planning information and resources, color-coded 3-D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.

Login to platform below to access

Amplify Science California supports 3-D learning with more materials than any other program.

Materials Kits

Our kits include enough non-consumable materials to support 200 student uses. In other words, you have enough materials to support all five periods and small groups of 4-5 students each. Plus, our unit-specific kits mean you just grab the tub you need and then put it all back with ease.

List of investigations by unit

List of materials by unit

A digital simulation from Amplify Science

Simulations and Practice Tools

Our digital Simulations and Practice Tools are powerful resources for exploration, data collection, and student collaboration. They allow students the ability to explore scientific concepts that might otherwise be invisible or impossible to see with the naked eye.

Video overview of digital tools

List of digital tools by unit

Device calendars by unit

Open book displaying a bilingual spread about space docking failures, with illustrations of a spacecraft near the moon on a black background.

Consumable Notebooks

Available for every unit, our Student Investigation Notebooks contain instructions for activities and space for students to record data and observations, reflect on ideas from texts and investigations, and construct explanations and arguments.

Sample Student Investigation Notebook

Sample Student Investigation Notebook (Spanish)

Illustration on a textbook cover showing various science themes, including an astronaut, wildlife, and cells, titled

Student Edition Hardcover

This durable Student Edition is grade-level specific and contains all of the articles that students refer to throughout the year. Districts may choose to pair these traditional student texts with our digital student experience or new 2-volume consumable notebook set.

Line drawing of a person using a laptop, with headphones and a line illustration of a rocket launching above their head, symbolizing creativity or inspiration in Boost Reading.


Coming Soon

Unlike other publishers, we don’t make you wait until your next adoption to get the latest and greatest from Amplify. We’re always launching new and exciting features. What’s more, we’ll push them out to you even after you adopt us!

See what’s coming for 2020-2021

Navigating the program

  • Click the orange button below to access the platform.
  • Choose the resources you’d like to review.
  • Pick your grade level from the drop-down menu.
  • Scroll down to find additional grade-level resources.

Navigating a Launch Unit

Launch units are the first units taught in each year of the program. The goal of a Launch unit is to introduce students to norms, routines, and practices that will be built on throughout the year.

Navigating an Engineering Internship

Engineering Internship units invite students to design solutions for real-world problems as interns for a fictional company called Futura. In the process, they apply and deepen their learning from Core units.

Navigating a Core Unit

Core units introduce a real-world problem and support students as they figure out the anchoring phenomenon and gain an understanding of the unit’s DCIs, SEPs, and CCCs.

Navigating Classwork and Reporting

Classwork is our new online grading tool that gives you quick and easy access to unreviewed work, student portfolios of work, and automatically generated differentiation groups.

Welcome to Earth and Space Science

BACK TO MAIN 6–8 PAGE

Amplify Science California is so effective you can cover 100% of the NGSS in fewer lessons than other programs.
 
Plus, you can breathe a sigh of relief knowing we give you enough materials to support 200 students. In fact, our material kits:

  • Support small groups of 4-5 students.
  • Make organization and finding materials easy.
  • Last longer with only one of the nine kits requiring refills.
A collage of images: top left, digital art of a desert scene; top right, three kids doing a science experiment; bottom left, a hand holding a jar and two others beside; bottom right, digital art of a person and child in a field.

What students learn

When you’re ready:

  • Find a summary of each unit below including each unit’s student role and anchor phenomenon.
  • Click on the orange “See how the unit works” link to download a helpful Unit Guide. These guides make great companions to busy reviewers looking for a big-picture understanding of how each unit works.
A barren, rocky desert landscape with rover tracks leading to a distant vehicle on a hill under a hazy sky.

Unit 1

Geology on Mars

Student role: Planetary geologists

Phenomenon: Analyzing data about landforms on Mars can provide evidence that Mars may have once been habitable.

Two prehistoric reptiles with long snouts and tails are near the shore, one on land and one in water, with plants, rocks, and an island in the background.

Unit 2

Plate Motion

Student role: Geologists

Phenomenon: Mesosaurus fossils have been found on continents separated by thousands of kilometers of ocean.

See how this unit works

Geometric design featuring a telescope, mountain, sound waves, and cosmic elements on a purple hexagonal background.

Unit 3

Plate Motion Engineering Internship

Student role: Mechanical engineering interns

Phenomenon: Patterns in earthquake data can be used to design an effective tsunami warning system.

Illustration of a cross-section of Earth showing a volcano near the ocean. Trees, mountains, and clouds are visible above, with subterranean layers below.

Unit 4

Rock Transformations

Student role: Geologists


Phenomenon: Rock samples from different U.S. regions look different, but have similar mineral compositions.

See how this unit works

A city skyline at night with a prominent full moon, stars in the sky, and a bridge silhouette on the left.

Unit 5

Earth, Moon, and Sun

Student role: Astronomers

Phenomenon: Pictures of specific features on the Moon can only be taken by an astrophotographer at certain times.

See how this unit works

Abstract artwork depicting a bright sun with blue and orange swirling patterns next to green hills under a sky with shades of blue, orange, and red.

Unit 6

Ocean, Atmosphere, and Climate

Student role: Climatologists

Phenomenon: During El Niño years, the air temperature in Christchurch, New Zealand is cooler than usual.

Ilustración de un pueblo con casas, campos y montañas bajo un cielo nublado con olas de viento o lluvia.

Unit 7

Weather Patterns

Student role: Forensic meteorologists

Phenomenon: The strong storms in Galetown didn’t just begin. They have become more and more severe over the years.

See how this unit works

Un oso polar se encuentra sobre un pequeño témpano de hielo en el océano con un sol naranja en el cielo y lejanas montañas heladas al fondo.

Unit 8

Earth’s Changing Climate

Student role: Climatologists

Phenomenon: The ice on Earth’s surface is melting.

See how this unit works

Abstract geometric design in shades of blue and purple featuring a hexagon with icons of a building, wrench, molecules, sun, paint can, and screwdriver.

Unit 9

Earth’s Changing Climate Engineering Internship

Student role: Civil engineers

Phenomenon: Designing rooftops with different modifications can reduce a city’s impact on climate change.

How teachers teach

When you’re ready:

  • Scroll down and take a closer look at your classroom resources.
  • Click on the orange links below each component to see grade-specific samples.
A laptop displays a PowerPoint presentation in presenter view, with slides about observing objects in plastic containers and related sensory instructions.
Classroom Slides

These customizable PowerPoints are available for every lesson of the program and make delivering instruction a snap with visual prompts, colorful activity instructions, investigation set-up videos and animations, and suggested teacher talk in the notes section of each slide.

Video introduction to Classroom Slides

A printed teacher’s guide labeled “Plate Motion: Mystery of the Mesosaurus Fossils” is displayed next to a laptop showing the same curriculum’s digital interface.
Teacher’s Reference Guide

Available digitally and in print, our unit-specific reference guides are chock full of helpful resources, including scientific background knowledge, planning information and resources, color-coded 3-D Statements, detailed lesson plans, tips for delivering instruction, and differentiation strategies.

Login to platform below to access

Assorted rocks, plastic jars, stacks of clear plastic cups, wrapped candies, and scattered dice laid out on a white background.
Materials Kits

Our kits include enough non-consumable materials to support 200 student uses. In other words, you have enough materials to support all five periods and small groups of 4-5 students each. Plus, our unit-specific kits mean you just grab the tub you need and then put it all back with ease.

A laptop screen displaying a map with three ecosystem options, each illustrated by different animal icons and accompanied by relevant data lists.
Simulations and Practice Tools

Our digital Simulations and Practice Tools are powerful resources for exploration, data collection, and student collaboration. They allow students the ability to explore scientific concepts that might otherwise be invisible or impossible to see with the naked eye.

Video overview of digital tools

Two booklets titled "El clima cambiante de la Tierra: la desaparición del hielo" and "Earth’s Changing Climate: Vanishing Ice" with landscape illustrations on the covers.
Consumable Notebooks

Available for every unit, our Student Investigation Notebooks contain instructions for activities and space for students to record data and observations, reflect on ideas from texts and investigations, and construct explanations and arguments.

Cover of the "Amplify Science" Grade 8 textbook featuring illustrations of space, insects, technology, crowds, and scientific diagrams.
Student Edition Hardcover

This durable Student Edition is grade-level specific and contains all of the articles that students refer to throughout the year. Districts may choose to pair these traditional student texts with our digital student experience or new 2-volume consumable notebook set.

A person with headphones works on a laptop; a line from their head transforms into a rocket, symbolizing imagination, innovation, and the foundational skills essential for multilingual learners.
Coming Soon

Unlike other publishers, we don’t make you wait until your next adoption to get the latest and greatest from Amplify. We’re always launching new and exciting features. What’s more, we’ll push them out to you even after you adopt us!

See what’s coming for 2020-2021

Navigating the program

  • Click the orange button below to access the platform.
  • Choose the resources you’d like to review.
  • Pick your grade level from the drop-down menu.
  • Scroll down to find additional grade-level resources.

Navigating a Launch Unit

Launch units are the first units taught in each year of the program. The goal of a Launch unit is to introduce students to norms, routines, and practices that will be built on throughout the year.

Navigating an Engineering Internship

Engineering Internship units invite students to design solutions for real-world problems as interns for a fictional company called Futura. In the process, they apply and deepen their learning from Core units.

Navigating a Core Unit

Core units introduce a real-world problem and support students as they figure out the anchoring phenomenon and gain an understanding of the unit’s DCIs, SEPs, and CCCs.

Navigating Classwork and Reporting

Classwork is our new online grading tool that gives you quick and easy access to unreviewed work, student portfolios of work, and automatically generated differentiation groups.

S3 – 05. Developing an asset orientation with Lani Horn

Math Teacher Lounge podcast featuring Lani Horn, a professor at Vanderbilt University, on developing an asset orientation.

In this episode, math education professor Lani Horn shares with us what it means to have an asset orientation towards students, contrasting it with a deficit orientation, and helping Bethany and Dan understand the many ways students experience one or the other. Their conversation hit both high notes and low notes and included a challenge that Bethany and Dan both found extremely valuable for helping a teacher develop an asset orientation towards their students.

Explore more from Math Teacher Lounge by visiting our main page

Download Transcript

Dan Meyer (00:03)

Welcome back to Math Teacher Lounge, folks. My name is Dan Meyer.

Bethany Lockhart Johnson (00:07):

And I’m Bethany Lockhart Johnson.

Dan Meyer (00:09):

We’re so excited to be here with you folks and with our guest today, tackling big questions about mathematics. I wanna ask Bethany first though: Bethany, it’s been kind of a challenging couple of years for those of us in education, near education, just in life in general, of course. But I woke up this morning and the sun was out; the weather was perfect and crisp here in Oakland; and I found myself feeling optimistic, a sense of hopefulness. And I was wondering to myself, “What is Bethany feeling hopeful about in math education right now?” What’s got you juiced up a little bit?

Bethany Lockhart Johnson (00:40):

I gotta say, that optimism, Dan, look at that! I can actually feel the sunshine just pouring through the microphone! So I thank you for asking. What am I feeling optimistic about in math education? Hmm. OK, this is gonna sound a little bit cop-out-y, but I have been so completely jazzed about not only our podcast, but the conversations that I’ve been seeing circulating in other math podcasts that are out there around curriculum, around new books coming out. It just feels like despite overwhelm, despite exhaustion, that most teachers really do love learning. And so there’s like that kernel. And so I just feel like there’s books on my shelf I wanna read; there’s podcasts in the queue I wanna listen to; and summertime is the best, best time to do it.

Dan Meyer (01:39):

People still feel hungry out there for learning. They know the importance of the craft and its impact on students. And, yeah, people are tired, but also it is so cool to see people still jazzed about learning more about how to teach students more effectively. Me, I’m excited right now, I have a very specific excitement right now, which is that today we announced that Desmos, where I work, and Amplify, our sponsor, are no longer gonna be two separate things. That we are joining together. That I, and all these people who have done so much work over the last 10 years developing digital math technology, we’re gonna go and work inside of Amplify as a division called Desmos Classroom. And we’re so excited that…what we cracked, I think, at Desmos, is a way of thinking about how teachers and their tools—computers, for instance—interact with students in math. And I love what we did there. But we never really cracked the question of, “How do you support entire school systems in taking up these ideas and tools?” And Amplify has really done that. So I’m super-excited to partner up there. That’s what I’m optimistic about and happy about.

Bethany Lockhart Johnson (02:40):

Congratulations! That’s a huge transition, and I’m just so excited about the amazing work that both Amplify and Desmos do. But then, the idea of Desmos being in more classrooms? Those tools being available for more students? With the reach? I mean, I’m just excited! It’s a big day, Dan.

Dan Meyer (03:00):

Thank you. Yes, exciting day. And I’m excited about also about our guest we’re bringing on today. How’s that for a segue? I’ll be excited to hear what our guest is excited about in math education. I just wanna say that what our guest, Lani Horn, Professor Lani Horn, has exposed us to is this idea of an asset orientation and its importance. And I do think I’m not over-exaggerating or overstating to say that the idea of an asset orientation towards students and their thinking has been possibly the most transformative idea for me in the last five years of being an educator. And adopting it has led to my favorite lessons, my favorite teaching experiences, my favorite relationships with students. I say all that—you know, I don’t wanna gas things up too much; is that too high of a bar here to have expectations? But it really has been tremendous! And Lani Horn gave a talk several years ago called “An Asset Orientation Is Everything,” which really changed the game up for me. And Bethany watched it as well. So that’s why I’m so excited to have on the person who gave that talk. And who’s done so much research around what an asset orientation offers students and teachers. So we’re bringing on today Lani Horn, who is a professor of mathematics education at Vanderbilt University, Peabody College, who centers her research on ways to make authentic mathematics, ambitious math teaching, accessible to students and teachers, particularly those who have been historically marginalized by our educational system. I think Lani has just a beating heart for students, yes, but also really respects the work of teaching in ways I think are so needed and sometimes uncommon in the world of math-education research. So Lani, thank you so much for coming on and joining us in the Lounge.

Lani Horn (04:41):

Thanks for having me.

Dan Meyer (04:44):

We would love to know what you are excited about and optimistic about right now in the world of mathematics education. What’s got you a little bit gassed up?

Lani Horn (04:52):

Up, gassed up? Hmm. Let me reframe it, ’cause I don’t know if I’m gassed up, but I’m cautiously hopeful that maybe that in the wake of the interrupted learning that’s been sort of widespread during the pandemic that maybe we’ll get some traction around more strategies for teaching in heterogeneous classrooms. Which I think every classroom is, to varying extents: a heterogeneous classroom. And I was talking with a colleague the other day about this idea of hmm, maybe modeling would be a really cool thing to focus teachers on. Doing some more mathematical modeling across the grade levels. Because it just seems like there’s a lot of opportunities for kids to kind of catch up on ideas and understandings that they may not have fully grasped because of interrupted learning, interrupted schooling. But also with room to engage in a lot of ideas. So we were playing with that and I was like, “Gosh, that’d be pretty cool if people took that on more broadly.” ‘Cause I don’t think that there’s been enough conversations about meaningful differentiation in that kind of way, like at the level of curriculum. So I would love to see an upsurge in interest in that kind of stuff, ’cause that’s a big place where I have a lot of passion, so I’m ready! I’m ready for people to ask questions about that. And actually it’s really very, very, very closely related to the topic today of having an asset orientation towards students.

Bethany Lockhart Johnson (06:34):

First of all, I’m so excited to have you on Math Teacher Lounge, have you in the Lounge, and get to talk to you, because when Dan sent me this talk, my first thing was, “Oh, I think I know what asset orientation is and looks like.” You know, you kind of hypothesize about what you think it’s going to be. And then you started talking and I’m like, “Wait, wait, why am I just hearing this now?” So I thought I knew what it was, but really I felt like there was so much to unpack. And I would just love for you to share with our listeners, in case they are like, “Oh, asset orientation, I know what that is. I’ve got it. My students have got it.” What is it? And why does it matter so much to our teachers?

Lani Horn (07:19):

The most obvious point is that asset is the opposite of deficit, right? And we know that deficit thinking is very harmful to students. That there’s a real teacher-expectation bias that that kids pick up on, that we communicate indirectly to students and that impacts their learning and their ability to meet our academic expectations and, other expectations in classrooms. So an asset orientation is looking for students’ strengths and trying to work from those strengths as a basis for your teaching.

Dan Meyer (07:54):

So that’s a really fantastic starting spot there. And I think what’s initially surprising to me about the research you cited in your talk, that is built around an asset orientation, is how…I think if you come at learning from a—I guess in research, they call a cognitivist frame, where learning happens when teachers say the right things that make a transfer from the teacher’s brain to the student’s brain. A lot of what you’re describing is very counterintuitive, I think. The asset orientation describes a teacher’s kind of subtle disposition. It’s not what, like what they’re saying exactly. It’s what they communicate in the subtext and the body language, that all emanates from some perspective on students and the idea that that filters down somehow and students pick up on that—like a smell in the air—and that determines a lot of their learning, I think is one part of your talk and the research that I thought was really surprising. How close is that to like how this actually works? And can you add to that description or pivot it a little bit?

Lani Horn (08:54):

Expansion of the sort of cognitive framing of teacher and student interaction…part of what’s really hard about developing and maintaining an asset orientation is that schools are organized in ways that rank and sort children. And so when we are just using the everyday language of schooling, sometimes we’re injecting these preconceived deficit notions of students into our talk and into how we’re thinking about, interpreting, looking at students. So not only is this interruption a sort of a cognitive lens on teacher-student interaction, but it’s really looking at how the social environment is setting teacher-student interaction to take on certain kinds of framings.

Dan Meyer (09:44):

This is what I mean about Lani having such a generous frame towards teachers and the work of teaching. I wonder, though, if you could help us make concrete how an asset and deficit orientation might play out in a hypothetical classroom interaction.

Lani Horn (10:00):

Sure. A really commonplace example is a teacher has a group of students. It’s October or November. So there’s already been a few assessments. And that gives the teacher an idea who the strong students are and who the struggling students are. And they’re having a classroom conversation. And someone who hasn’t performed well, a kid who hasn’t performed well on those assessments—the teacher poses a question. A kid who hasn’t performed well on the assessments is called on. And they sort of hesitate in formulating their response. And the teacher with that lens of “this is a struggling student” then may have to make a decision: “Do I persist? Do I support this kid? Do I help them formulate an answer? Do I try to draw out their thinking anyway? Or do I move on to a kid who is academically performed better in my class?” And I would say that a lot of teachers in that situation would very understandably say, “OK, I get it. You’re not a strong math student. You’re not confident in my class. I’m gonna move on because I need to get through this lesson to somebody who I know is gonna provide me with a correct answer.” And they do it also out of, sometimes, a sense of care, of not wanting to put that student on the spot. However, part of what is another unintended result of making that choice is instead of trying out that student’s thinking, listen to their sort of, maybe, hesitant answer, and trying to find the kernel in it that maybe could be supported and amplified, that kid then loses an opportunity to have their idea be a part of the whole class’s mathematical conversation. Completely common, completely understandable kind of interaction that I see all the time.

Bethany Lockhart Johnson (11:52):

That feels so huge. And that I can actually picture that happening.

Lani Horn (11:56):

Of course. We’ve all seen it. We’ve all done it.

Bethany Lockhart Johnson (11:58):

We’ve all seen it and done it. And I think it’s so key that you mention often it’s from a place of care. Of “I want that student to—look, I called on you; you’re a part of the conversation; you’re a part of our community.” But with it, I brought all of that other information that I think I have about that kiddo. Right? And how I think they’re struggling or navigating the question. And “Here, I’ll help by…” You know? But what I immediately thought of is how much the other students also pick up on that, right?

Lani Horn (12:36):

Of course.

Bethany Lockhart Johnson (12:36):

I remember this time, this student in my class, a student who had struggled on some of the work we were doing, she came up and she shared her work. And then another student kind of like, it was almost like a strange little pat on the back, like, “Look at that! You did it!” And like really said it in a tone of…like, you’re 5, where did that come from?? How had I set up that student to be—I really had to step back and say, “What role have I played in making this student seem like she wasn’t capable of what she had just solved?” It was such a learning moment for me. Because I don’t think teachers do it maliciously, you know, or even consciously.

Lani Horn (13:33):

Absolutely.

Bethany Lockhart Johnson (13:34):

And it was so huge.

Lani Horn (13:36):

Thanks for sharing that, Bethany, wow.

Dan Meyer (13:38):

Even in your description, Lani, you mentioned how the need to keep the class moving to fit, again, a policy that teachers didn’t impose, that we have 45 minutes and way too many standards to cover in that many days…I wanna ask you about growth mindset. It feels like every last teacher on earth has finally got the memo about growth mindset. We all know it’s the good mindset and that the bad one is fixed mindset. And we have the posters. The posters have been distributed. <laugh> A nationwide mobilization.

Bethany Lockhart Johnson (14:07):

I automatically pictured the posters.

Lani Horn (14:09):

<laugh> Of course.

Dan Meyer (14:11):

We’ve got the posters up, people! So we’re good! And now here comes asset orientation, which has some of the similar kinds of happy feelings, good vibes, about teaching and students and learning. So I was just wondering if you could help us kind of differentiate those two kinds of concepts.

Lani Horn (14:28):

I think that an asset orientation is something you’re never done cultivating. I think it’s an ongoing stance that you have to constantly reset and reexamine. And it is recognizing the links to the social categories that students inhabit, the identities that they bring with them, the bodies that they live in, the different abilities and disabilities. And it’s actually a place where, when you really engage this work in a meaningful way, I think it has the potential to make you kind of a better human being. Because you have to constantly say, “Gosh, why did I do that? What is it that my expectation was? Why am I having such a hard time with this particular student, finding something that they’re smart at, something that they’re really good at?” ‘Cause that’s the question. That’s the asset orientation question. You look at your students and you say, “What is it that they are smart about? How are they smart? I understand that school values this; I understand that my assessments value this; but what are they smart at? And how could I bring that into the meaningful work of my classroom?” Which is a very hard question sometimes.

Dan Meyer (16:03):

Yeah. Oh, so many thoughts here. Like one, I just feel like it’s such a value for teachers, for anyone, to have a big, clear, unanswerable-in-your-lifetime question to motivate your work in teaching. If you don’t have that, then the job is too small, basically. So I love that it’s a question that offers ways to dig in every single day. Every interaction is an opportunity, and it will never be answered. That’s wonderful. I love how I just feel like there’s…sometimes we have conversations with Lounge guests, Bethany, where it really gets out of the realm of the school. And it starts to creep on in to the personal life. It starts to creep on in to the spiritual life. And I find, with this sort of idea—the value of a human being—I feel when I have an asset orientation towards my key relationship in my life—my best friends, my spouse, all these things—that that’s an indication to me of a really big and valuable idea. And the question of the difference between growth mindset and asset orientation, I wonder if it’s relevant here that a growth mindset is a concept that was studied and originated by an education psychologist, Carol Dweck, and you are someone who operates with a social-cultural frame that considers more than the student’s mind in the unit of a student, but like what is going on and what are Bethany’s students perceiving in that moment you described, Bethany, that was you and a student, but everyone kind of feels what’s going on. I wonder if that’s a useful differentiator here. Do you have any thoughts about that?

Lani Horn (17:30):

Yes. I do think that the anthropological perspective that I take—where I really look at the cultural sources of these perspectives and these expectations and narratives, I would say, about who can learn math—are really, really important. And they’re part of what sometimes becomes invisible in the classroom. Though those are a really, really important part of the ongoing work of developing an asset orientation. And of course, I come to it from my own personal experience. I was an undergraduate math major. And sometimes by the time I got to my senior seminars, I was the only woman in the room. And you know, I felt that. I felt the stigma of low expectations. I felt the missed opportunities to dig deeper because people were trying to protect me from being wrong and embarrassing myself. And so on. So it’s personal. And of course we see this applying to other social categories as well. We know that the bias is not just against women in math, but people of color, against people with different kinds of abilities, and so on. So I think that that’s why it’s sort of this ongoing personal work. And I think, too, that we will inevitably in the course of committing ourselves to this find students who challenge us, especially in our society right now, the way things are so fractured. You know, what if you have a student in your classroom who holds political views that you find really odious? How do you find a way to engage that student in a way that respects what they do have to offer to your class, while also making sure that the class is a safe place for everybody? I mean, those are really, really complex dynamics to manage. And, you know, I can talk a lot about that too.

Dan Meyer (19:30):

What a job; what a job. Yeah.

Bethany Lockhart Johnson (19:33):

I was really struck, too, because I feel, like Dan said, we’ve gotten the posters. And not to undermine the power of growth mindset—I think it has impacted many, many students and communities—but it sometimes stops there. The conversation stops there. Well, you know, we have a chant we do every day. We have the poster on the wall. My students have a growth mindset. And I think what I really appreciated in your talk, and as I’ve learned about your work, is the invitation to teachers to be vulnerable and to really look at… I do feel like even sharing that story, you put a certain amount of vulnerability of, like, have I failed in some way? But I care about my students. I’m committed to cultivating a safe space. So I guess something I’m really curious about is: what do you think needs to happen or needs to be possible for teachers to further cultivate an asset orientation? Because even the ability to pause and to be reflective, sometimes it doesn’t seem possible. So I think it’s beyond just the teacher, but in the school, the district…what are some things you feel?

Lani Horn (20:49):

Are you letting me be the queen of designing schools? ‘Cause that’s a job I’ve always wanted! <laugh> OK. So if I were the queen of designing schools, teachers would have fewer student contacts.

Bethany Lockhart Johnson (21:04):

Say more.

Lani Horn (21:05):

When I taught high school, I had sometimes…I think the most I got was 180 student contacts a day.

Bethany Lockhart Johnson (21:12):

Wow.

Lani Horn (21:13):

So when you’re looking at 180 kids a day, that is just sort of a capacity issue. How am I supposed to really look meaningfully at each of those individual people and find what’s valuable and strong and smart about each of them? I think that in the U.S., teachers have more instructional time than any other developed country. We need more planning time. Because that’s an opportunity to consult with colleagues. Sometimes when we encounter students where we do have that personal struggle of, “Oh, gosh, I am really having a hard time connecting with you and seeing your strengths,” wouldn’t it be great to be able to go to their last year’s teacher or their English teacher or some other teacher and say, “Can you tell me about your experiences with this student? Because I’m really wanting to connect and I’m having trouble.” And wouldn’t that be wonderful if we had resources to do that? The other thing I would do is I would get rid of a lot of the meaningless accountability, which I have found has only amplified sort of the sorting, and sort of put a technocratic veneer over kids’ deficit thinking about their own selves. Kids get a printout saying that they’re “below basic” and you say, “Hey, that was a really good idea!” And they don’t believe you ’cause they have this printout that puts them in a different category, so there’s no way they could be good at math. So I think we’ve really done a lot of harm in the annual testing of kids in that way. Especially with the individual reporting. And often the metrics we’re using to do that are not designed to be disaggregated to the individual level. So we have a lot of measurement problems. I’m kind of going back to your question before, Dan, about what’s the difference between growth mindset and an asset orientation. I think that sometimes—I don’t think this is the way Carol Dweck intended it, but I think sometimes—and I’ve seen her rebut the way it’s been used in schools—but I think sometimes the way that growth mindset has been used in schools kind of brings it back to an individual problem: “We don’t have unequal funding in our school system! We don’t have systemic racism! We don’t have childhood poverty and malnourishment! It’s just about having the right mindset!” And we know that all of those other things have a huge impact on who engages in school and who’s able to get access to schooling and the formal learning that goes on there. And so there’s a little bit of an erasure that happens in the way that growth mindset has been taken up, and putting the onus back on students and teachers as opposed to going, “Wow, we’re in this system where the cards are stacked a certain way, and I have to somehow navigate that as a teacher and figure out how to hold you up in a system that is trying to push you down.” Which is a really different kind of job than to put a poster on my wall and do a chant in the morning.

Bethany Lockhart Johnson (24:39):

And I’m wondering, if you were looking at how you would hope that asset orientation gets brought into the classroom…it’s not another poster, right? What do you think would really help make some meaningful change around the way we think about that and teachers and systems take that on?

Lani Horn (24:59):

So I think that the important thing is helping teachers develop a vocabulary for recognizing students’ mathematical strengths in particular. Recognizing a strength is not, “Wow, you did really neat work!” or “You have really nice handwriting!” Those are not authentically mathematical strengths, right? So I try to think about—ah, for color theorem, “How cool! What a great way to be systematic!” You know, that being systematic, developing a good representation, asking a good question, asking the next “what if,” all of these are profoundly mathematical ways of thinking. And there’s more—I’m just giving you a few examples—that are not always recognized in classrooms that are built around quick and accurate calculation. Right? When that is the most valued form of smartness, kids who can do all these other great things, like, “Wow, that that is such a clear way of explaining the connection between that graph and that equation! I love it. That helps me see what’s happening every time that variable increases.” You know? I love when kids do that! That’s not quick and accurate calculation, right? One of the most heartbreaking things I’ve seen sometimes is teachers doing a really good job of pumping kids up and helping them feel mathematical and seeing their mathematical strengths in the everyday lessons…but then they get a standard assessment and are told they’re a C student. How do you support the messaging you’re doing in your teaching and in your interactions so that it aligns with assessment? And this is where the sorting mechanism of school kind of inhibits some of the ways that we really should be valuing kids in a way that would support their ongoing learning and their own particular flourishing.

Dan Meyer (26:59):

I love how you describe this whole process as a career-long trajectory, how one does not ever finish creating an asset orientation in oneself. I’m wondering if there is some way for teachers who are listening to start to experience, to enter into that kind of feedback loop, that experience, of what an asset orientation offers them and their students. Do you have some way for us to start digging in here? A challenge, if you will?

Lani Horn (27:24):

Yeah, sure. This is a process I learned from teachers I’ve worked with, so I did not make this up. It’s called a roster check. It’s where you take a roster of one of your classes, and you go through student by student and see if you can specifically name a way that that student is mathematically smart. And it’s a private exercise if you want it to be. And just sort of go through. And then for the students who you really struggle to name how they’re smart, step back and see if there’s some kind of a pattern. And when I’ve done this in PD, as an exercise, I’ve had teachers have some real light-bulb moments where they go, “Oh my gosh, I really don’t know the quiet girls in my classroom,” or “I really don’t know the multilingual learners in my classroom.” So they can sort of start to see a bias in who they’re interacting with and who’s been able to engage in ways that uncover what their unconscious bias might be. And sometimes it’s not unconscious bias. Sometimes it’s not necessarily a category like that. It’s just the kids who are more outspoken, the kids who are high achieving. It doesn’t have to necessarily be linked to an obvious social category. However, I do think that then what you can do with that list of kids who you don’t have a name for their strengths, is you can kind of take a couple of them a week and make that your project to really observe them a little more intentionally and a little more closely. Try mixing things up. Have a chat with them. Say, “Hey, so what do you like to do? What are the things that you like to do in the world? What are your hobbies?” So maybe you can start to get some insight that way. You can talk to other teachers. Most kids have something that they’re passionate about, something that animates them and wakes them up in the morning, and knowing that and finding ways to meaningfully tie that to their mathematical learning can be extremely powerful.

Bethany Lockhart Johnson (29:35):

Lani. I love that idea, taking that time to reflect and allow yourself to be vulnerable as you take a look at your biases and how that’s impacting your classroom space. I have learned so much from our conversation. I know we’re just scratching the surface of the work that you do. So if folks want to learn more, want to continue engaging in these ideas, where can they find you, or where can they find more about your work?

Lani Horn (29:58):

I’m pretty active on Twitter. My handle is @ilana_horn. No “e” on that. And I’ve written a couple of books for teachers. One is called Motivated. Another is called Strength in Numbers. People can check those out.

Bethany Lockhart Johnson (30:17):

I love it. For our listeners, we are thrilled to share this conversation with you, and we wanna hear how you take up this challenge: What do you uncover? What do you notice? What are you learning about an asset orientation? And you can share that by finding us on Twitter at @MTLshow, or you can also continue the conversation with us in our Facebook group, Math Teacher Lounge. We’re so excited to keep learning with you. And thanks for listening.

Lani Horn (30:42):

Bye! Thanks for having me.

Dan Meyer (30:44):

Bye, folks. Thank you.

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What Lani Horn says about math

“An asset orientation is looking for students’ strengths and trying to work from those strengths as a basis for your teaching. ”

– Lani Horn

Professor of Mathematics Education, Vanderbilt University Peabody College

Meet the guest

Lani Horn centers her research on ways to make authentic mathematics accessible to students, particularly those who have been historically marginalized by our educational system. Professor Horn focuses primarily on mathematics teaching in two ways. First, Professor Horn looks at classroom practices that engage the most students in high-quality mathematics. Second, Professor Horn views teaching as a contextually-embedded practice –  how school environments, communities, colleagues, and policies shape what is instructionally possible. All of this is unified through a pursuit to understand teacher learning as a situative phenomenon. Follow Professor Horn on Twitter.

A graphic with the text "Math Teacher Lounge with Bethany Lockhart Johnson and Dan Meyer" on colored overlapping circles.

About Math Teacher Lounge: The podcast

Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.

Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!

A closer look at grades 6–8 (domain)

Amplify Science is based on the latest research on teaching and learning and helps teachers deliver rigorous and riveting lessons through hands-on investigations, literacy-rich activities, and interactive digital tools that empower students to think, read, write, and argue like real scientists.

In the 6–8 classroom, this looks like students:

  • Collecting evidence from a variety of sources.
  • Making sense of evidence in a variety of ways.
  • Formulating convincing scientific arguments.

Is your school implementing the domain model? Click here.

Collage of four images showing children engaged in educational activities such as conducting experiments and crafting in a classroom setting.
A four-step process: Spark intrigue, Explore evidence, Explain and elaborate, and Evaluate claims, leading to ongoing engagement and building complexity.

Program structure

Our cyclical lesson design ensures students receive multiple exposures to concepts through a variety of modalities. As they progress through the lessons within a unit, students build and deepen their understanding, increasing their ability to develop and refine complex explanations of the unit’s phenomenon.

It’s this proven program structure and lesson design that enables Amplify Science to teach less, but achieve more. Rather than asking teachers to wade through unnecessary content, we designed our 6–8 program to address 100% of the NGSS in fewer lessons than other programs.

Scope and sequence

Every year our grades 6–8 sequence consists of 9 units, with each unit containing 10–19 lessons. Lessons are written to last a minimum of 45-minutes, though teachers can expand or contract the timing to meet their needs.

A grid of educational icons, each representing a different science topic, such as earth and space science, life science, and physical science, with titles and lesson counts.

Unit types

Each unit delivers three-dimensional learning experiences and engages students in gathering evidence from a rich collection of sources, while also serving a unique purpose.

In grades 6–8, there are three types of units:

  • One unit is a launch unit.
  • Three units are core units.
  • Two units are engineering internships.
Launch units

Launch units are the first units taught in each year of Amplify Science. The goal of the Launch unit is to introduce students to norms, routines, and practices that will be built on throughout the year, including argumentation, active reading, and using the program’s technology. For example, rather than taking the time to explain the process of active reading in every unit in a given year, it is explained thoroughly in the Launch unit, thereby preparing students to actively read in all subsequent units.

Core units

Core units establish the context of the unit by introducing students to a real-world problem. As students move through lessons in a Core unit, they figure out the unit’s anchoring phenomenon, gain an understanding of the unit’s disciplinary core ideas and science and engineering practices, and make linkages across topics through the crosscutting concepts. Each Core unit culminates with a Science Seminar and final writing activity.

Engineering Internship units

Engineering Internship units invite students to design solutions for real-world problems as interns for a fictional company called Futura. Students figure out how to help those in need, from tsunami victims in Sri Lanka to premature babies, through the application of engineering practices. In the process, they apply and deepen their learning from Core units.

Units at a glance

A rover sits on a rocky, reddish hill under a hazy sky, leaving visible tire tracks across the barren landscape.
Geology on Mars

Domain: Earth and Space Science

Unit type: Launch

Student role: Planetary geologists

Phenomenon: Analyzing data about landforms on Mars can provide evidence that Mars may have once been habitable.    

Two prehistoric marine reptiles with long snouts are near a rocky shoreline, one on land and one in the water, with an island and clouds in the background.
Plate Motion

Domain: Earth and Space Science

Unit type: Core

Student role: Geologists

Phenomenon: Mesosaurus fossils have been found on continents separated by thousands of kilometers of ocean, even though the Mesosaurus species once lived all together.    

A geometric badge with a mountain, telescope, and audio wave icons on a purple background with polygonal shapes.
Plate Motion Engineering Internship

Domain: Earth and Space Science

Unit type: Engineering internship

Student role: Mechanical engineering interns

Phenomenon: Patterns in earthquake data can be used to design an effective tsunami warning system.    

Illustration of a volcano by the sea with smoke, trees, mountains, and a cross-section showing a fault line beneath the ground.
Rock Transformations

Domain: Earth and Space Science

Unit type: Core

Student role: Geologists

Phenomenon: Rock samples from the Great Plains and from the Rocky Mountains — regions hundreds of miles apart — look very different, but have surprisingly similar mineral compositions.    

Illustration of a city skyline at night with buildings, a bridge, and a large full moon in a starry sky.
Earth, Sun, and Moon

Domain: Earth and Space Science

Unit type: Core

Student role: Astronomers

Phenomenon: An astrophotographer can only take pictures of specific features on the Moon at certain times.    

Abstract digital painting of a landscape with green hills, a red-orange horizon, and a large yellow sun surrounded by blue and orange swirling shapes on the right.
Ocean, Atmosphere, and Climate

Domain: Earth and Space Science

Unit type: Core

Student role: Climatologists

Phenomenon: During El Niño years, the air temperature in Christchurch, New Zealand is cooler than usual.    

Illustration of a town with houses and fields under a sky with large clouds and swirling wind patterns, set against a backdrop of hills and mountains.
Weather Patterns

Domain: Earth and Space Science

Unit type: Core

Student role: Forensic meteorologists

Phenomenon: In recent years, rainstorms in Galetown have been unusually severe.    

A polar bear stands on a small ice floe surrounded by water and floating ice under a red sun in an Arctic landscape.
Earth’s Changing Climate

Domain: Earth and Space Science

Unit type: Core

Student role: Climatologists

Phenomenon: The ice on Earth’s surface is melting.    

Hexagonal badge with icons including a wrench, building, sun, screwdriver, paint can, and molecules on a purple geometric background.
Earth’s Changing Climate Engineering Internship

Domain: Earth and Space Science

Unit type: Engineering internship

Student role: Civil engineers

Phenomenon: Designing rooftops with different modifications can reduce a city’s impact on climate change.    

Colorful abstract digital artwork featuring a yellow figure holding a device, with blue and red shapes and textured patterns in the background.
Microbiome

Domain: Life Science

Unit type: Launch

Student role: Microbiological researchers

Phenomenon: The presence of 100 trillion microorganisms living on and in the human body may keep the body healthy.    

An abstract illustration of a person having their mouth and throat examined with a tongue depressor, surrounded by colorful shapes, with an eye chart in the background.
Metabolism

Domain: Life Science

Unit type: Core

Student role: Medical researchers

Phenomenon: Elisa, a young patient, feels tired all the time.    

Geometric orange background with a hexagon icon displaying symbols for statistics, farming, healthcare, safety vest, chemistry, and agriculture.
Metabolism Engineering Internship

Domain: Life Science

Unit type: Engineering internship

Student role: Food engineers

Phenomenon: Designing health bars with different molecular compositions can effectively meet the metabolic needs of patients or rescue workers.    

Six spiders with different colors and stripe patterns are arranged in a grid pattern on a dark background, showing variations in leg and body color.
Traits and Reproduction

Domain: Life Science

Unit type: Core

Student role: Biomedical students

Phenomenon: Darwin’s bark spider offspring have different silk flexibility traits, even though they have the same parents.    

An underwater scene shows a whale surrounded by jellyfish, sea turtles, and fish, with sunlight filtering through the water.
Populations and Resources

Domain: Life Science

Unit type: Core

Student role: Biologists

Phenomenon: The size of the moon jelly population in Glacier Sea has increased.    

A low-poly landscape with trees, mushrooms, a rabbit sitting, and a fox bending down near another rabbit under a sunny sky with mountains in the background.
Matter and Energy in Ecosystems

Domain: Life Science

Unit type: Core

Student role: Ecologists

Phenomenon: What caused the mysterious crash of a biodome ecosystem?    

Three green dinosaurs and one yellow dinosaur stand in a row on grass, each with purple spikes and a red spot on their backs. The sky is blue with light clouds.
Natural Selection

Domain: Life Science

Unit type: Core

Student role: Biologists

Phenomenon: The newt population in Oregon State Park has become more poisonous over time.    

Red-toned graphic with hexagonal badge featuring a world map, a mosquito, a DNA strand, charts, cubes, and circular icons. Geometric background pattern.
Natural Selection Engineering Internship

Domain: Life Science

Unit type: Engineering internship

Student role: Clinical engineers

Phenomenon: Designing malaria treatment plans that use different combinations of drugs can reduce drug resistance development while helping malaria patients.  

Two giant tortoises are near a river; one is by the water and the other is standing on land and stretching its neck toward a leafy tree.

Evolutionary History

Domain: Life Science

Unit type: Core

Student role: Paleontologists

Phenomenon: A mystery fossil at the Natural History Museum has similarities with both wolves and whales.    

Two people climb over rocky terrain strewn with electronic waste, with illustrated insets showing a hiking boot, a solar-powered device, and a person adjusting a belt-like gadget.
Harnessing Human Energy

Domain: Physical Science

Unit type: Launch

Student role: Energy scientists

Phenomenon: Rescue workers can use their own human kinetic energy to power the electrical devices they use during rescue missions.    

A spacecraft approaches a modular space station with large solar panels, set against a backdrop of outer space.
Force and Motion

Domain: Physical Science

Unit type: Core

Student role: Physicists

Phenomenon: The asteroid sample-collecting pod failed to dock at the space station as planned.    

Green geometric background with a hexagonal badge showing a parachute, a box, a ruler, a bandage, and stacked layers.
Force and Motion Engineering Internship

Domain: Physical Science

Unit type: Engineering internship

Student role: Mechanical engineering interns

Phenomenon: Designing emergency supply delivery pods with different structures can maintain the integrity of the supply pods and their contents. 

Illustration of a roller coaster car full of people with raised arms, speeding down a loop against a blue sky with clouds.
Magnetic Fields

Domain: Physical Science

Unit type: Core

Student role: Physicists

Phenomenon: During a test launch, a spacecraft traveled much faster than expected.    

Illustration of a person in a red coat and hat with arms crossed, eyes closed, surrounded by large orange and brown circles, possibly representing snow or lights.
Thermal Energy

Domain: Physical Science

Unit type: Core

Student role: Thermal scientists

Phenomenon: One of two proposed heating systems for Riverdale School will best heat the school.    

An orange popsicle gradually melts, shown in four stages from solid to completely melted, with wooden sticks visible, against a purple background.
Phase Change

Domain: Physical Science

Unit type: Core

Student role: Chemists

Phenomenon: A methane lake on Titan no longer appears in images taken by a space probe two years apart.    

A green background with a picture of a person and a sandwich.
Phase Change Engineering Internship

Domain: Physical Science

Unit type: Engineering internship

Student role: Chemical engineering interns

Phenomenon: Designing portable baby incubators with different combinations of phase change materials can keep babies at a healthy temperature.    

Digital illustration showing red and blue molecules on a blue background transitioning to a lighter background, representing molecular diffusion across a boundary.
Chemical Reactions

Domain: Physical Science

Unit type: Core

Student role: Forensic chemists

Phenomenon: A mysterious brown substance has been detected in the tap water of Westfield.    

Illustration of Earth with yellow arrows and colored waves approaching from the left, representing incoming solar or cosmic radiation.
Light Waves

Domain: Physical Science

Unit type: Core

Student role: Spectroscopists

Phenomenon: The rate of skin cancer is higher in Australia than in other parts of the world.    

Professional development for multi-program suites

Amplify professional development provides learning experiences that intentionally develop the knowledge and skills you need for effective and self-sustaining implementation.

Now you can learn and apply impactful instructional techniques and develop a deeper understanding of the suite of Amplify programs.

Professional Learning Partner Guide Certified Provider

Amplify professional development has been vetted by Rivet Education’s team through a rigorous three-step process and is listed in the Professional Learning Partner Guide.

A diagram shows three math programs: mCLASS Math with a student's photo, Amplify Desmos Math with math tools, and Boost Math with a robot illustration, all connected by orange lines.

Amplify suites

Each of Amplify’s high-quality, research-based programs is designed to help you teach inspiring math lessons that celebrate and develop your students’ brilliance. When used together, our comprehensive math suite provides even greater support and coherence for every student across your curriculum.

Contact your account executive to discuss PD options or request a quote.

Math

Amplify Desmos Math with mCLASS Math assessments and Boost Personalized Learning combine the best of problem-based lessons, intervention, personalized practice, and assessment into a coherent and engaging experience for both students and teachers. With the full suite, teachers gain access to all the tools they need to inspire and motivate all learners in math class.

Empower educators with:

  • High-quality professional development
    Comprehensive PD sessions equip teachers with the skills and knowledge necessary for effective program implementation, enhancing instructional practices and boosting student outcomes. These sessions support educators in leveraging the full suite of Amplify’s K–5 math programs, ensuring seamless integration and maximizing classroom impact.
  • Core instruction for grades K–12
    Amplify Desmos Math lessons provide a structured approach to problem-based learning, helping teachers create a collaborative math community with students at its center. Each lesson systematically builds on students’ curiosity to develop lasting grade-level understanding for all students. Available in English and Spanish.
  • Integrated personalized practice
    Personalized Learning activities help students access grade-level math through engaging, independent digital practice. Responsive FeedbackTM adjusts to students’ work, providing item-level adaptivity to further support their learning.
  • Screening and progress monitoring
    mCLASS Assessments, along with daily formative checks, measure what students know and how they think. The asset-based assessment system provides teachers with targeted, actionable insights, linked to core instruction and intervention resources.
  • Embedded intervention
    Integrated resources like Mini-Lessons, Fluency Practice, and Math Adventures provide targeted intervention on a specific skill or concept connected to the daily lesson. Extensions are also available to stretch students’ understanding.

Each suite package will include:

LAUNCH STRENGTHEN COACH
Beginning of year Mid-year, end of year Mid-year, end of year
Three people work together at a computer in a classroom; one woman points at the monitor while the others watch attentively.
Two people sit at a table reviewing documents together against a yellow background. An icon of a barbell is displayed in the top left corner.
Two women sit side by side at a table, each with a laptop. One woman points at the other’s screen as they focus on the display against a plain blue background.
Receive one on-site or virtual Launch session for Amplify Desmos Math.
Receive one on-site or virtual Strengthen session for Amplify Desmos Math.
Receive one on-site or virtual Coach session for Amplify Desmos Math.
  In addition, select one 1-hour virtual Strengthen Focus session for the program of your choice:

  • Amplify Desmos Math
  • mCLASS Math
  • Boost Math
In addition, select one more on-site or virtual Coach session for the program of your choice:

  • Amplify Desmos Math
  • mCLASS Math
Add-on: Suggested enhancements are available for each Launch, Strengthen, and Coach session options.
Before teaching After 6+ weeks of teaching  

Begin packages for grades K–5, 6–A1, or high school

Launch sessions

  On-site package
(22 hr.)
Hybrid 22, on-site package
(22 hr.)
Hybrid 17 package
(17 hr.)
Hybrid 22,
virtual
package
(22hr.)
Virtual
package
(14 hr.)
One Launch session per package On-site,
6 hr.
On-site,
6 hr.
On-site,
3 hr.
Virtual,
6 hr.
(2 half-days)
Virtual,
3 hr.
Amplify Desmos Math: Initial training for K–5, 6–A1, or high school teachers
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Amplify Desmos Math: Program overview for K–5, 6–A1, or high school teachers
    A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.
Suggested enhancements
Launch add-on On-site or virtual, 3 hr. session Amplify Desmos Math: Program overview for K–5, 6–A1, or high school leaders
Launch add-on On-site or virtual, 3 hr. session mCLASS Math 2nd Edition: Program overview for grades K–5 or 6–8 teachers

Strengthen and Coach sessions

One Strengthen session and one additional Strengthen session (1 hr. Focus only) per package. Choose any of the following as a secondary Strengthen touchpoint.

  On-site package
(22 hr.)
Hybrid 22,
on-site package

(22 hr.)
Hybrid 17 package
(17 hr.)
Hybrid 22,
virtual
package
(22hr.)
Virtual
package
(14 hr.)
Virtual
package
Strengthen On-site, 3 hr. Virtual, 3 hr. Virtual,
1 hr.
Virtual, 3 hr. Virtual, 1 hr. Virtual, 2 hr.
Amplify Desmos Math: Enhancing planning for K–5, 6–A1, or high school teachers
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Amplify Desmos Math: Enhancing practice for K–5, 6–A1, or high school teachers
A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.    
Amplify Desmos Math: Enhancing observations for K–5, 6–A1, or high school leaders A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.    
Amplify Desmos Math: Supporting all learners: Differentiation in Amplify Desmos Math for K–5 or 6–A1 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.    
Amplify Desmos Math: Teaching a lesson with digital student screens for K–5 teachers     A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
Amplify Desmos Math: Unit-level planning for
K–5, 6–A1, or high school teachers
    A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
Amplify Desmos Math: Snapshots in the Teacher Dashboard for 6–A1 teachers     A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
mCLASS Math: Leveraging assessment data to strengthen mathematical explanations for K–5 or 6–8 teachers     A large, light peach-colored checkmark on a transparent background.   A large, light peach-colored checkmark on a transparent background.  
Coach On-site,
6 hr.
On-site,
6 hr.
On-site,
6 hr.
On-site,
6 hr.
Virtual,
3 hr.
Coach session
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Suggested enhancements
Strengthen add-on On-site or virtual, 3 hr. session mCLASS Math + Boost Math: Understanding and using data to plan intervention for grades K–5 or 6–8 teachers
Strengthen add-on On-site or virtual, 3 hr. session Amplify Desmos Math: Supporting and facilitating meaningful discussions for teachers

Launch session options

Propel your school or district into the new school year. Program-aligned Launch sessions introduce teachers and leaders to their unique Amplify program(s) and support a strong implementation.

Begin: Amplify Desmos Math: Initial training for K–5, 6–A1, or high school teachers

On-site, 6 hours

Initial training sessions are designed for educators who are new to our program. In our initial training session, educators are oriented to the key components of their program(s), including learning how to navigate, teach, and monitor student progress, while exploring content and program resources. Participants will leave the session with foundational knowledge and skills necessary to begin teaching with the program.

Session options: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Amplify Desmos Math: Program overview for K–5, 6–A1, or high school teachers

On-site or virtual, 3 hours

Program overview sessions provide a basic introduction for educators who are new users of the program. In a program overview session, educators learn how to get started with the key features and materials of the program.

Session options: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

Audience: Teachers, instructional staff (maximum 30 participants)

Suggested enhancement: Launch add-on: Amplify Desmos Math: Program overview for K–5, 6–A1, or high school leaders

On-site or virtual, 3 hours

Ideal add-on to Launch sessions
The Program overview for leaders supports district and school-level instructional leaders in effectively coordinating the implementation of the program. Leaders will learn the foundational elements of the program, build an understanding of the key teacher and student practices to look for in classrooms, and develop an implementation plan.

Session options: Amplify Desmos Math

Audience: Leaders (maximum 30 participants)

New session

Suggested enhancement: Launch add-on: mCLASS Math 2nd Edition Program overview for K–5 or 6–8 teachers

On-site or virtual, 3 hours

Dive into the essentials of your mCLASS Assessments. Learn how these assessments both highlight students’ strengths and help identify what’s next through an asset-based approach. Leave ready to administer assessments and understand reporting.

Session options: mCLASS Math (grades K–5 or 6–8)

Audience: Leaders (maximum 30 participants)

Strengthen session options

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

Amplify will partner closely with you to select the appropriate session(s) that will deepen educators’ understanding of Amplify program(s) and equip them with the tools they need to improve student’s learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

Begin: Amplify Desmos Math: Enhancing planning for K–5, 6–A1, or high school teachers

On-site or virtual, 3 hours

Dive into planning for Amplify Desmos Math, both big picture and day-to-day. Practice using lesson- and unit-planning protocols that will help you build a deep understanding of the math content you’ll be teaching and the planning resources available to you in the curriculum. Walk away with practical strategies for planning, even when you may not have much time.

Session options: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Amplify Desmos Math: Enhancing practice for K–5 or 6–A1, or high school teachers

On-site or virtual, 3 hours

Dig into Amplify Desmos Math’s Launch, Monitor, Connect framework to level up the student discourse in your math class. Explore in-the-moment differentiation support to help you orchestrate discussion and make the most out of key opportunities for conversation and collaboration.

Session options: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Amplify Desmos Math: Enhancing observations for K–5 or 6–A1 leaders

Virtual, 1 hour

Elevate your program knowledge to support teachers with effective Amplify Desmos Math implementation. Leave prepared to identify key instructional elements in a problem-based math lesson, analyze data, and conduct effective classroom observations.

Session options: Amplify Desmos Math (Grades K–5 or 6–A1)

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Supporting all learners: Differentiation in Amplify Desmos Math for K–5 or 6–A1 teachers

On-site or virtual, 3 hours

Learn how to use the differentiation supports in Amplify Desmos Math to effectively support all learners, both in the moment during a lesson and beyond the lesson. Leave with a plan for implementing resources to support, strengthen, and stretch students’ thinking.

Session options: Amplify Desmos Math

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Strengthen Focus: Amplify Desmos Math: Teaching a lesson with digital student screens for K–5 teachers

Virtual, 1 hour

Get ready to facilitate digital lessons with your students. Explore what’s possible with the Teacher Dashboard and plan to make the most of these exciting instructional moments.

Session options: Amplify Desmos Math (K–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Strengthen Focus: Amplify Desmos Math: Unit-level planning for K–5, 6–A1, or high school teachers

Virtual, 1 hour

Dive into unit-level planning to learn the story of your upcoming unit, and discover the big ideas you will explore alongside your students in Amplify Desmos Math.

Session options: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Strengthen Focus: Amplify Desmos Math: Snapshots in the Teacher Dashboard for 6–A1 teachers

Virtual, 1 hour

Explore how to use the Snapshots tool in the Teacher Dashboard to create a collaborative classroom that invites and celebrates student thinking. Leave with planning tips and tricks that will get you ready to use Snapshots during your busy math classes.

Session options: Amplify Desmos Math (Grades 6–A1)

Audience: Teachers, instructional staff (maximum 30 participants)

Begin: Strengthen Focus: mCLASS Math: Leveraging assessment data to strengthen mathematical thinking for grades K–5 or 6–8 teachers

Available for grades 6–8 teachers Oct. 2026

Virtual, 1 hour

Dig into mCLASS Math to reveal what students understand about mathematical concepts, and give them the tools to become more clear and confident communicators in math class.

Session options: mCLASS Math (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

New session

Suggested enhancement: Begin: mCLASS Math and Boost Math: Understanding and using data to plan intervention for grades K–5 or 6–8 teachers

Available for grades 6–8 teachers Oct. 2026

On-site or virtual, 3 hours

Ideal add-on Strengthen session
Explore how Boost Math uses mCLASS Math data to inform intervention recommendations and monitor student progress. Dig into your student data, explore relevant instructional resources, and leave with actionable next steps for intervention.

Session options: mCLASS Math (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

New session

Suggested enhancement: Begin: Amplify Desmos Math: Supporting and facilitating meaningful discussions for K–5, 6–A1, or high school teachers

On-site or virtual, 3 hours

Explore how Boost Math uses mCLASS Math data to inform intervention recommendations and monitor student progress. Dig into your student data, explore relevant instructional resources, and leave with actionable next steps for intervention.

Session options: mCLASS Math (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

Coach session options

Elevate instructional practice and help meet teachers’ and schools’ specific needs with customizable Coach sessions.

Coach session

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify Desmos Math (K–5 or 6–A1) and/or mCLASS Math (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs, and/or instructional leaders (maximum 30 participants)

Practice packages (grades K–5 or 6–8)

Launch sessions

  On-site package
(16 hr.)
Hybrid 16, on-site package
(16 hr.)
Virtual package
(16 hr.)
One Launch session per package On-site, 3 hr. Virtual, 3 hr. Virtual, 3 hr.
mCLASS Math 2nd Edition Program overview for K–5 or 6–8 teachers
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Strengthen and Coach sessions

  On-site package
(16 hr.)
Hybrid 16, on-site package
(16 hr.)
Virtual package
(16 hr.)
One Strengthen and two Coach sessions per package Virtual, 1 hr. Virtual, 1 hr. Virtual, 1 hr.
Amplify Desmos Math: Teaching a lesson with digital student screens for K–5 teachers
A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
Amplify Desmos Math: Unit-level planning for K–5, 6–A1, or high school teachers
A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
Amplify Desmos Math: Increasing engagement with instructional routines for K–5, 6–A1, or high school teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
mCLASS Math: Leveraging assessment data to strengthen mathematical thinking for grades K–5 or 6–8 teachers A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background. A large, light peach-colored checkmark on a transparent background.
Coaching On-site, 6 hr. On-site, 6 hr. Virtual, 3 hr.
Coach session
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Suggested enhancements
Strengthen add-on Virtual or on-site, 3 hr. Amplify Desmos Math: Enhancing planning for K–5, 6–A1, or high school teachers
Strengthen add-on Virtual or on-site, 3 hr. Amplify Desmos Math: Enhancing practice for K–5, 6–A1, or high school teachers
Strengthen add-on Virtual or on-site, 3 hr. Amplify Desmos Math: Enhancing observation for K–5, 6–A1, or high school leaders
Strengthen add-on Virtual or on-site, 3 hr. Amplify Desmos Math: Supporting all learners for K–5 or 6–A1 teachers
Strengthen add-on Virtual or on-site, 3 hr. Amplify Desmos Math: Supporting and facilitating meaningful discussions for K–5, 6–A1, or high school teachers
Strengthen add-on Virtual or on-site, 3 hr. Amplify Desmos Math: Assessment in action: Analyzing data and reports and planning next steps for K–5 or 6–A1 teachers
Strengthen add-on Virtual or on-site, 3 hr. mCLASS Math and Boost Math: Understanding and using data to plan intervention for K–5 teachers

Launch session options

Propel your school or district into the new school year. Program-aligned Launch sessions introduce teachers and leaders to their unique Amplify program(s) and support a strong implementation.

Practice: mCLASS Math 2nd Edition Program overview for grades K–5 or 6–8 teachers

On-site or virtual, 3 hours

Dive into the essentials of your mCLASS Math assessment program. Learn how these assessments both highlight students’ strengths and help identify what’s next through an asset-based approach. Leave ready to administer assessments and understand reporting.

Session options: mCLASS Math (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

Strengthen session options

Strengthen your Amplify implementation with program-specific sessions that support personalized learning and practice in your classroom.

Amplify will partner closely with you to select the appropriate session(s) that will deepen educators’ understanding of your Amplify program(s) and equip them with the tools they need to improve students’ learning outcomes. Each package includes one Strengthen session. Additional sessions can be added as Enhancements.

New session

Practice: Amplify Desmos Math: Strengthen: Focus: Teaching a lesson with digital student screens for K–5 teachers

Virtual, 1 hour

Get ready to facilitate lessons with digital student screens. Explore what’s possible with the Teacher Dashboard and plan to make the most of these exciting instructional moments.

Session options: Amplify Desmos Math (K–5)

Audience: Teachers, instructional staff (maximum 30 participants)

Practice: Strengthen Focus: Amplify Desmos Math: Unit-level planning for K–5, 6–A1, or high school teachers

Virtual, 1 hour

Dive into unit-level planning to learn the story of your upcoming unit, and discover the big ideas you will explore alongside your students in Amplify Desmos Math.

Session option: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

Audience: Teachers, instructional staff (maximum 30 participants)

New session

Practice: Strengthen Focus: Amplify Desmos Math: Increasing engagement with instructional routines for K–5, 6–A1, or high school teachers

Available Oct. 2026

Virtual, 1 hour

Explore how to use the instructional routines in Amplify Desmos Math to support and engage students as they make sense of new contexts, develop mathematical language, and solve problems.

Session option: Amplify Desmos Math (Grades K–5 or 6–A1)

Audience: Teachers, instructional staff (maximum 30 participants)

New session

Practice: Strengthen Focus: mCLASS Math: Leveraging assessment data to strengthen mathematical explanations for grades K–5 or 6–8 teachers

Available for grades 6–8 teachers Oct. 2026

Virtual, 1 hour

Dig into mCLASS Math to reveal what students understand about mathematical concepts, and give them the tools to become more clear and confident communicators in math class.

Session option: mCLASS Math (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

New session

Suggested enhancement: Practice: Amplify Desmos Math: Enhancing planning K–5 or 6–A1 teachers

On-site or virtual, 3 hours

Dive into planning for Amplify Desmos Math, both big picture and day-to-day. Practice using lesson- and unit-planning protocols that will help you build a deep understanding of the math content you’ll be teaching and the planning resources available to you in the curriculum. Walk away with practical strategies for planning, even when you may not have much time.

Session option: Amplify Desmos Math (Grades K–5 or 6–A1)

Audience: Teachers, instructional staff (maximum 30 participants)

New session

Suggested enhancement: Practice: Amplify Desmos Math: Enhancing practice for K–5, 6–A1, or high school teachers

On-site or virtual, 3 hours

Dig into Amplify Desmos Math’s Launch, Monitor, Connect framework to level up the student discourse in your math class. Explore in-the-moment differentiation support to help you orchestrate discussion and make the most out of key opportunities for conversation and collaboration.

Session option: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

Audience: Teachers, instructional staff (maximum 30 participants)

New session

Suggested enhancement: Practice: Amplify Desmos Math: Enhancing observations for K–5, 6–A1, or high school leaders

On-site or virtual, 3 hours

Elevate your program knowledge to support teachers with effective Amplify Desmos Math implementation. Leave prepared to identify key instructional elements in a problem-based math lesson, analyze data, and conduct effective classroom observations.

Session options: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

Audience: Teachers, instructional staff (maximum 30 participants)

New session

Suggested enhancement: Practice: Supporting all learners: Differentiation in Amplify Desmos Math for K–5 or 6–A1 teachers

On-site or virtual, 3 hours

Learn how to use the differentiation supports in Amplify Desmos Math to effectively support all learners, both in the moment during a lesson and beyond the lesson. Leave with a plan for implementing resources to support, strengthen, and stretch students’ thinking.

Session option: Amplify Desmos Math (Grades K–5 or 6–A1)

Audience: Teachers, instructional staff (maximum 30 participants)

New session

Suggested enhancement: Practice: Amplify Desmos Math: Supporting and facilitating meaningful discussions for K–5, 6–A1, or high school teachers

Available Oct. 2026

On-site or virtual, 3 hours

Explore how to transform your mathematics classroom into a social and collaborative environment where students deepen their understanding by sharing their mathematical thinking. Learn more about how Amplify Desmos Math provides support for these meaningful mathematical conversations.

Session option: Amplify Desmos Math (Grades K–5, 6–A1, or high school)

Audience: Teachers, instructional staff (maximum 30 participants)

New session

Suggested enhancement: Practice: Amplify Desmos Math: Assessment in action: Analyzing data, reports, and planning next steps for K–5 or 6–A1 teachers

Available Oct. 2026

On-site or virtual, 3 hours

Deepen your understanding of the different types of assessments in Amplify Desmos Math and how they provide evidence of student learning. Analyze sample student work to calibrate on assessment scoring, interpret student thinking, and make a plan for instructional next steps.

Session option: Amplify Desmos Math (Grades K–5 or 6–A1)

Audience: Teachers, instructional staff (maximum 30 participants)

New session

Suggested enhancement: Practice: mCLASS Math and Boost Math: Understanding and using data to plan intervention for K–5 teachers

Available for grades 6–8 teachers Oct. 2026

On-site or virtual, 3 hours

Ideal add-on Strengthen session
Explore how Boost Math uses mCLASS Math data to inform intervention recommendations and monitor student progress. Dig into your student data, explore relevant instructional resources, and leave with actionable next steps for intervention.

Session option: mCLASS Math (Grades K–5 or 6–8)

Audience: Teachers, instructional staff (maximum 30 participants)

Coach session options

Elevate instructional practice and help meet teachers’ and schools’ specific needs with customizable Coach sessions.

Coach session

On-site, 6 hours

Coaching sessions focus on building internal school and district capacity and leadership excellence. Coaching is customized to meet a school or district’s needs and can include model lessons, observations, walk-throughs, and/or co-planning.

Session options: Amplify Desmos Math (Grades K–5 or 6–A1) and mCLASS Math (Grades K–5 or 6–8)

Audience: Individual teachers, grade-level teams, PLCs, and/or instructional leaders (maximum 30 participants)

Contact us

Ready to lock in your dates? Want to learn more about developing a professional development plan to meet your needs?

Amplify welcomes the opportunity to partner with you to design professional development plans to meet the needs of your staff. Whether you’re returning or new to Amplify program(s), we provide guidance in answering your questions and making package/session recommendations.

If you’d like to order professional development services, please contact your local Amplify sales representative or call (800) 823-1969.

Amplify Tutor Fingerprinting

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Welcome, K–8 Reviewers!

We’re honored to introduce you to Amplify Desmos Math California. We’re confident you’ll find this comprehensive program to be a powerful tool for bringing the vision of the California Math Framework to life in classrooms across the state.

Please start with the video on the right to learn how to navigate the program and access key features referenced within our submission. Below you’ll find additional resources to support your review.

Your Review Samples

As a curriculum that incorporates both print and digital resources, it’s important that you explore both our physical materials (delivered to you in grade-specific tubs) and our digital materials (accessible through our platform). We invite you to explore both types of resources using the instructions and tips below.

Print Samples

Your print samples should have arrived in grade-specific tubs with a copy of two Reviewer binders. The K-5 Reviewer binder is contained within the Grade K shipping box and the Grade 6-8 Reviewer binder can be located in the Grade 6 shipping box. As you begin the process of organizing your materials, please refer to the inventory checklist found inside each tub as well as within your Reviewer Binder.

Digital Samples

In order to access your digital samples, you’ll need to log into our platform using your unique login credentials found on a Digital Access Flyer inside of your Reviewer Binder. Once you have located the flyer:

  • Click the orange button below to access the platform.
  • Click “Log in with Amplify.”
  • Enter the username and password provided on your Digital Access Flyer.

Navigation Tips

Below you will find helpful tips for navigating Amplify Desmos Math California. We recommend reading these pages alongside the program’s print materials and digital experience to gain a deeper understanding of the program. 

Click the links below to read about navigating program features including:

Built for California

The Amplify Desmos Math California program is designed around the vision articulated in the California Mathematics Framework to enable all California students to become powerful users of mathematics. Our program incorporates the latest research in student learning, meaning that we:

  • Focus on the Big Ideas: Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. Big Ideas, like standards, are not considered in isolation. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons.
  • Center on open and engaging tasks: Amplify Desmos Math California is grounded in engaging tasks meant to address students’ often-asked question: “Why am I learning this?”  Students are invited into learning with low-floor, high-ceiling tasks that provide an entry point for all. Open tasks in Amplify Desmos Math California provide the space for students to try on multiple strategies and represent their thinking in different ways, and allow student explanation and discussion to serve as the center of the classroom. All lessons offer both print and digital representations of lessons.
  • Provide enhanced digital experiences: Amplify Desmos Math California includes digitally-enhanced lesson activities, incorporating interactive digital tools alongside print materials. These purposefully-placed resources allow students to visualize mathematical concepts, receive actionable feedback while practicing, encounter personalized learning support from an onscreen tutor, and engage in discussions about their thinking and approaches.
  • Treat core instruction and differentiation as integral partners: The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to lesson content and offer students the individualized support as they dive into the mathematics.

Category 1: Mathematics Content/Alignment with the Standards

Standards Maps

The links below provide the Standards Maps for Amplify Desmos Math California for each grade level.

Evaluation Criteria Map

Linked here is the Evaluation Criteria Map for grades K–8. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

Standards for Mathematical Practice

The links below provide the alignment of Amplify Desmos Math California to the Standards for Mathematical Practice at each grade level.

Drivers of Investigation and Content Connections

Amplify Desmos Math California incorporates the Drivers of Investigation (DIs) and Content Connection (CCs) throughout the program. Throughout the year, students engage with open and authentic tasks of varying durations — from lesson activities to unit-level Explore lessons and longer course-level Investigations. Every lesson and investigation opportunity is grounded around the why, how, and what of the learning experience, and helps teachers bring mathematical concepts to life. 

A three-column chart details: Drivers of Investigation, Standards for Mathematical Practice, and Content Connections, each with their respective codes and brief descriptions.

California English Language Development Standards

The links below provide the alignment of Amplify Desmos Math California to the California English Language Development Standards at each grade level.

California Environmental Principles and Concepts

Select lessons, performance tasks, and investigations across grade levels in Amplify Desmos Math California are aligned to one or more of the California Environmental Principles and Concepts. Click the links below to view how the California Environmental Principles and Concepts are represented in each grade level.

Category 2: Program Organization

Amplify Desmos Math California thoughtfully combines conceptual understanding, procedural fluency, and application. Each lesson is designed to tell a story by posing problems that invite a variety of approaches before guiding students to synthesize their understanding of the learning goals.

Big Ideas

Amplify Desmos Math California’s courses, units, and lessons are centered around the Big Ideas. In addition to each unit and lesson’s focal Big Ideas, Amplify Desmos Math California also provides connections among the Big Ideas across units and lessons. Please refer to Keeping the Big Ideas at the Center (linked below) for specific lesson designs and alignment with the Big Ideas for each grade level.

Program Structure

Amplify Desmos Math California combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.

A diagram showing three stages: Core instruction, Integrated personalized learning, and Embedded intervention, under Screening and progress monitoring with daily tiered support.

Lessons and units in Amplify Desmos Math California are designed around a Proficiency Progression, a model that steps out problem-based learning by systematically building students’ curiosity into lasting grade-level understanding.

Five steps for learning: 1. Activate prior knowledge, 2. Collaborate, 3. Refine ideas, 4. Guide to understanding, 5. Practice and extend for lasting understanding.

In the Proficiency Progression, lessons begin by activating students’ natural curiosity and offering opportunities to generate new ideas through collaboration. Teachers are then able to refine ideas through intentional facilitation and guide students to grade-level understanding, while students retain the ability to use different strategies and methods to show their comprehension of the content. Students are provided ample opportunities to develop lasting understanding.

Scope and Sequence

Below you can view the scope and sequence for each grade level. 

A chart displaying seven kindergarten math units with themes, number of instructional days, and assessment days, totaling 136 suggested instructional days.
Grade 1 instructional units overview showing 7 units on math topics, total suggested days is 153, with each unit listing instructional and assessment days.
Grade 2 math curriculum map showing 8 units with topics, number of instructional and assessment days, and total days; suggested instructional days: 156.
Seven instructional units are shown, each with a title, icon, number of instructional and assessment days, and total days; a note suggests 150 instructional days in total.
A Grade 4 math curriculum overview showing seven units with titles, number of instructional days, and assessment days; the suggested total instructional days is 152.
A curriculum map displays seven math units with icons, titles, instructional days, and assessment days, totaling 149 suggested instructional days.
A chart showing Grade 6 math units, each with instructional days, assessment days, and optional days. Total suggested instructional days is 142, plus 19 optional days.
Overview of Grade 7 math curriculum units, showing unit titles, number of instructional, assessment, and optional days for each, with a total of 125 instructional days plus 22 optional days.
Eight illustrated cards display Grade 8 math units, each with the unit title, topics covered, number of instructional and assessment days, and a total of 131 suggested instructional days.
Curriculum chart showing eight units split into two volumes, with topics, instructional days, assessment days, and optional days listed for each unit over an accelerated 6th-grade year.
A chart displays the breakdown of Accelerated 7 math units, indicating topics, number of instructional days, assessment days, and optional days for each of the nine units across two volumes.

Lesson Design and Structure

A four-part diagram shows: Warm-Up, Activities with a graph of student ideas to grade-level understanding, Synthesis with notes, and Practice and differentiation with students building a structure.

Amplify Desmos Math California is designed with a structured approach to problem-based learning that systematically builds on students’ curiosity and allows students to grapple with the Big Ideas of the California Framework. Every lesson activity is organized into a Launch, Monitor, Connect format.

  • Launch: The launch is a short, whole-class conversation that creates a need or excitement, provides clarity, or helps students connect their prior knowledge or personal experience, which ensures that everyone has access to the upcoming work.  
  • Monitor: As students work individually, in pairs, or in groups, teachers explore student thinking, ask questions, and provide support to help move the conversations closer to the intended math learning goal. 
  • Connect: Teachers connect students’ ideas to the key learning goals of the lesson, facilitating class discussions that help synthesize and solidify the Big Ideas 

Each lesson within Amplify Desmos Math California follows the same structure. 

  • Warm-Up: Every Amplify Desmos Math California lesson begins with a whole class Warm-Up. Warm-Ups are an invitational Instructional Routine intended to provide a social moment at the start of the lesson in which every student has an opportunity to contribute. Warm-Ups may build fluency or highlight a strategy that may be helpful in the current lesson or act as an invitation into the math of the lesson.
  • Lesson Activities: Each lesson includes one or two activities. These activities are the heart of each lesson. Students notice, wonder, explore, calculate, predict, measure, explain their thinking, use math to settle disputes, create challenges for their classmates, and more. Guidance is provided to help teachers launch, monitor, and connect student thinking over the course of the activity.
  • Synthesis and Show What You Know: The Synthesis is an opportunity for the teacher and students to pull all the learning of the lesson together into a lesson takeaway. Students engage in a facilitated discussion to consolidate and refine their ideas about the learning goals, and the teacher synthesizes students’ learning. Show What You Know is a daily assessment opportunity for students to show what they know about the learning goals and what they are still learning.
  • Centers (K–5): Centers are hands-on activities for students in grades K–5 to play collaboratively to strengthen their understanding of key skills and concepts. In grades K–1, students have Daily Center Time built into every lesson. 
  • Practice and Differentiation: Daily practice problems for the day’s lesson are included both online and in the print Student Edition, including fluency, test practice, and spiral review.

Kindergarten–Grade 1

A lesson plan timeline showing phases: Warm-Up (5–10 min, whole class), Lesson Activities (25–30 min), Synthesis (10 min), Centers (15 min), and Practice (time varies).

Grades 2–5

A horizontal flowchart shows a classroom lesson sequence: Warm-Up (5–10 min), Lesson Activities (35 min), Synthesis (10 min), and Practice (time varies); groupings vary.

Grades 6–8

A horizontal timeline shows four lesson segments: Warm-Up (5 min), Lesson Activities (30 min), Synthesis (10 min), and Practice (time varies).

Routines

Amplify Desmos Math California features a variety of lesson routines. Instructional routines and Math Language Routines (MLRs) are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition. Both are called out at point-of-use within the Teacher Edition and Teacher Presentation Screens. Below are the types of routines used throughout the Amplify Desmos Math California curriculum:

  • MLR1: Stronger and Clearer Each Time
  • MLR2: Collect and Display
  • MLR3: Critique, Correct, Clarify
  • MLR5: Co-Craft Questions
  • MLR6: Three Reads
  • MLR7: Compare and Connect
  • MLR 8: Discussion Supports
  • Decide and Defend
  • Notice and Wonder
  • Number Talk
  • Tell a Story
  • Think-Pair-Share
  • Which One Doesn’t Belong?

Category 3: Assessments

A variety of performance data in Amplify Desmos Math California provides evidence of student learning, while helping students bolster their skills and understanding.

Unit-Level Assessment

Amplify Desmos Math California has embedded unit assessments that offer key insights into students’ conceptual understanding of math. These assessments provide regular, actionable information about how students are thinking about and processing math, with both auto-scoring and in-depth rubrics that help teachers anticipate and respond to students’ learning needs.

  • Pre-Unit Check: Each unit in grades 2–8 begins with a formative assessment designed to identify the student skills that will be particularly relevant to the upcoming unit. This check is agnostic to the standards covered in the following unit and serves not as a deficit-based acknowledgment of what students do not know, but rather as an affirmation of the knowledge and skills with which students come in.
  • End-of-Unit Assessment: Students engage with rigorous grade-level mathematics through a variety of formats and tasks in the summative End-of-Unit Assessment. A combination of auto-scored (when completed digitally) and rubric-scored items provides deep insights into student thinking. All Amplify Desmos Math California End-of-Unit Assessments include two forms.
  • Sub-Unit Quizzes: Sub-Unit Quizzes are formative assessments embedded regularly in Grades Kindergarten through Algebra 1. In these checks, students are assessed on a subset of conceptual understandings from the unit, with rubrics that help illuminate students’ current understanding and provide guidance for responding to student thinking.
  • Sub-Unit Checklists: These checklists enable teachers to observe key skills and concepts that cannot be assessed on a pencil-and-paper assessment in Kindergarten–Grade 1. The checklists outline the supports students need to achieve mathematical growth and success.
  • Performance Tasks: At the end of each unit in grades 3–8, there is a summative assessment performance task provided to evaluate students’ proficiency with the concepts and skills addressed in the unit. 

Lesson-Level Assessments

Amplify Desmos Math California lessons include daily moments of assessment to provide valuable evidence of learning for both the teacher and student. Beyond formative, summative, and benchmark assessments, students also have opportunities for self-reflection with Watch Your Knowledge Grow. Students take ownership of their learning by reflecting and tracking their progress before and after each unit.

  • Show What You Know: Each lesson has a daily formative assessment focused on one of the key concepts in the lesson. Show What You Know moments are carefully designed to minimize completion time for students while maximizing daily teacher insights to attend to student needs during the following class. 
  • Responsive Feedback™: Teachers have the ability to see and provide in-the-moment feedback as students progress through a digital lesson. Responsive Feedback motivates students and engages them in the learning process.

Diagnostic Assessment

Every grade level features an asset-based diagnostic assessment designed to be administered at the beginning of the year.  Delivered digitally and to the whole class, our diagnostic assessment is uniquely designed to reveal underlying math thinking and identify what students know about grade-level math. With data beyond just right and wrong, teachers have the type of deeper level of insights need to take the right next step.

CAASPP-Aligned Assessment Preparation

Amplify Desmos Math is designed to support students’ mathematical development through problem-based learning, differentiation, and embedded assessments. The program’s emphasis on conceptual understanding, procedural fluency, and application aligns with the mathematical practices and content standards assessed by the CAASPP.

Amplify Desmos Math California includes a CAASPP-aligned Item Bank. This standards-aligned bank of questions allows teachers to filter and search by grade and standard to find items. Once assigned on the digital platform, students will experience CAASPP-like practice with the online digital tools.

Data and Reporting

Amplify Desmos Math California provides teachers and administrators with unified reporting and insights so that educators have visibility into what students know about grade-level math—and can plan instruction accordingly for the whole class, small groups, and individual students. Reporting functionality integrates unit assessments, lesson assessments, diagnostic data, and progress monitoring for a comprehensive look at student learning. Program reports show proficiency and growth by domain, cluster, standard, and priority concept using performance data from unit assessments, then highlight areas of potential student need to allow teachers to modify their instruction and target differentiated support.

Administrator reporting provides a complete picture of student, class, and district performance, allowing administrators to implement instructional and intervention plans.

Category 4: Access and Equity

The Amplify Desmos Math California curriculum provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level content without reducing the mathematical demand of tasks. Our lessons are developed using the Universal Design for Learning (UDL) framework to proactively ensure that all learners can access and participate in meaningful, challenging learning opportunities.

Every activity has multiple entry points to ensure that all students are supported and challenged. Intervention and personalized learning activities are directly connected to the day’s content and offer students the individualized supports they need to be successful.

Each lesson and unit contains guidance for teachers on how to identify students who may need support, students who need to keep strengthening their understanding, and students who may be ready to stretch their learning. In addition, teachers are provided with recommendations for resources to use with each group of students.

Universal Design for Learning

Each lesson in the program incorporates opportunities for engagement, representation, action, and expression based on the guidelines of Universal Design for Learning (UDL).

  • Multiple Means of Engagement: Students engage in both print and digital learning, and are regularly participating in discussions and hands-on activities. Students are invited to build their own challenge for other students to solve, which provides opportunities for choice and
    autonomy, as well as joy and play.
  • Multiple Means of Representation: Students are encouraged to demonstrate their learning using mathematical representations, both print and digital, and regularly engage with their peers in analyzing multiple possible solutions. Classes engage in open-ended discussions about what individual students notice and wonder about mathematical concepts.
  • Multiple Means of Action and Expression: Learners differ in how they navigate learning environments and express what they know. Students can communicate their ideas in multiple ways, including in print, sketching, uploading photos, or recording an audio response.

Accessibility

Lesson facilitation supports

Every lesson includes at least one specific suggestion the teacher can use to increase access to the lesson without reducing the mathematical demand of the tasks. These suggestions address the following areas:

  • Visual-spatial processing
  • Conceptual processing
  • Executive functioning
  • Memory and attention
  • Fine motor skills

Accessibility tools

Students have the ability to control accessibility tools so that each learning experience is customized to their individual needs. In many instances, these tools can be turned on or off at any point of instruction.

  • Text to speech: Reads text instructions to students in multiple languages
  • Enlarged font: Increases the size of all text on screen
  • Braille mode: Includes narration of digital interactions
  • Language selection: Toggles between languages

Differentiation: In-Lesson Teacher Moves

Within every lesson activity, teachers can use the suggestions in the Differentiation Teacher Moves table to provide in-the-moment instructional support while students are engaged in the work of the lesson. This table can help teachers anticipate the ways students may approach the activity, and provides prompts that they can use during the lesson to Support, Strengthen, and Stretch individual students in their thinking. Teachers are provided with clear student actions and understanding to look for, each matched with immediately usable suggestions for how to respond to the student thinking illustrated in each row of the table. In addition to using these suggestions in the moment as teachers monitor student work, teachers can review the Differentiation table in advance to help them anticipate how students are likely to approach the activity.

A table showing differentiation teacher moves with examples of representing groups in different ways, support prompts, and a stretch question about patterns with more teams.

Differentiation: Beyond the Lesson

Teachers are provided with recommendations for resources to use with each group of students needing support, strengthening, and stretching after each lesson. Support, Strengthen, and Stretch resources include:

  • Mini-Lessons: 15-minute, small-group direct instruction lessons targeted to a specific concept or skill
  • Item Banks: Space for teachers to create practice and assessments by using filters and searching for standards, summative-style items, and more
  • Fluency Practice: Adaptive, personalized practice built out for basic operations and more
  • Centers (K–5): Lesson-embedded routines and practice for students that are vertically aligned across grade levels
  • Extensions: Lesson-embedded Teacher Moves including possible stretch questions and activities for students
  • Lesson Practice: Additional practice problems support every lesson
  • Math Adventures: Strategy-based math games where students engage with math concepts and practice skills in a fun digital environment
  • Lesson Summary Support: Support for students and caregivers that provides efficient explanation of the learning goal with clear examples

Math Identity and Community

The Math Identity and Community feature supports teachers in helping students build confidence in their own mathematical thinking, develop skills to work with and learn from others when doing math, and learn how math is an interwoven part of their broader community. The embedded prompts throughout the lessons are designed to highlight what it means to be good at math, the value of sharing ideas, and the power of flexible and creating thinking. Here are some examples of the Math Identity and Community supports embedded in each lesson:

  • I can be all of me in math class. You will work with partners every day in math class. What do you want your partners to know about you? 
  • We are a math community. What does good listening look like and sound like in a math community? 
  • I am a doer of math. What math strengths did you use today?

Unit Stories

Every unit in grades K–5 contains a Unit Story. These Unit Stories are brief fiction stories read aloud by the teacher at the beginning of each unit that connect to the math of the unit and introduce characters that students will get to know as they engage in the unit. Teachers read the story aloud from their Teacher Edition while projecting illustrations for students from the story, found in the Teacher Presentation Screens for the story. Across the unit, the Unit Story context and characters are used at appropriate points to inspire and engage students in the math as well as in reflections about their math identity and community.

Math Language Development

Every lesson in Amplify Desmos Math California includes opportunities for all students to develop mathematical language as they experience the content. Amplify Desmos Math California purposefully progresses language development from lesson to lesson and across units by supporting students in making their arguments and explanations stronger, clearer, and more precise. This systematic approach to the development of math language can be broken down into the following four categories of support:

  • Vocabulary: Units and lessons start by surfacing students’ language for new concepts, then building connections between their language and the new vocabulary for that unit. This honors the language assets that students bring into their learning.
  • Language goals: Language goals attend to the mathematics students are learning, and are written through the lens of one or more of four language modalities: reading, writing, speaking, and listening.
  • Math Language Routines: Math Language Routines are used within lessons to highlight student-developed language and ideas, cultivate conversation, support mathematical sense-making, and promote meta-cognition.
  • Multilingual/English learner supports: Supports for multilingual/English learners (ML/ELs) are called out at intentional points within each lesson. These specific, targeted suggestions support ML/ELs with modifications that increase access to a task, or through development of contextual or mathematical language (both of which can be supportive of all learners). 

Multilingual and English Learner Supports

Amplify partnered with the English Learner Success Forum (ELSF), a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual learners. ELSF reviewed Amplify Desmos Math California, and provided directional guidance and feedback to ensure that the program reflects their research-based instructional strategies for multilingual/English learners.

Our Math Language Development Resources book contains lesson-specific strategies and activities for all levels of English Learners (i.e., Emerging, Expanding, Bridging). With support for every lesson, teachers are empowered to help all students, regardless of their language skills, to participate fully, grasp the material, and excel in their mathematical journey.

Amplify Desmos Math California includes a digital glossary for languages other than Spanish. Translations will be provided for up to nine languages.

Amplify Desmos Math California will include Spanish student-facing materials beginning in the 2026–27 school year.

Category 5: Instructional Planning and Support

Amplify Desmos Math California includes a variety of embedded instructional supports to empower teachers to lead effectively and gain actionable insights into student growth and progress. Teachers are equipped with a comprehensive set of resources designed to fulfill the requirements of Category 5.

Within the Teacher Edition front matter:

  • Scope and sequence
  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Unit and Sub-Unit Overview:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Math that Matters Most
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

Within each Lesson:

  • Big Ideas, Drivers of Investigation, and Content Connections
  • Grade level standards
  • Standards for Mathematical Practice
  • English Language Development Standards
  • Environmental Principals and Concepts

At the course level (within the Teacher Edition front matter):

  • Navigating the Program (both print and digital)
  • Facilitating Lesson Activities with Launch, Monitor and Connect
  • Overview of the Digital Facilitation Tools

At the lesson level:

  • Suggestions for timing
  • What materials to prep
  • How to organize and group students 
  • Key lesson takeaways with the Synthesis
  • Recommendations for Differentiation
  • Strategies for intervention and extensions (in the Intervention, Extensions, and Investigation Resources book)

At the activity level:

  • Differentiation recommendations
  • Accessibility tips
  • ML / EL tips
  • Teacher look-fors
  • Recommended Teacher Moves
  • Prompts for guiding student thinking 
  • Sample student responses

A variety of language development supports are provided within the Student and Teacher Editions and Math Language Development Resources book. 

At the lesson level:

  • Diagrams and visuals
  • Sentence frames and word banks
  • Graphic organizers, including Frayer models
  • Vocabulary routines
  • Embedded language supports aligned to the CA ELDs
  • Lesson-specific strategies for Emerging, Expanding, and Bridging

At the unit level: 

  • Words With Multiple Meanings
  • Contextual vocabulary

At the course level:

  • English/Spanish cognates
  • Multilingual Glossary 
  • Additional Practice Resources book
  • Assessment Resources book 
  • Assess and Respond guidance paired with each assessment opportunity
  • Show-What-You-Know activities
  • Answer keys and rubrics 
  • Performance tasks

Bring the world to students with a proven PreK–5 literacy curriculum

Amplify Core Knowledge Language Arts (CKLA) is the leading early literacy curriculum grounded in the Science of Reading. By combining knowledge-building and research-based foundational skills, our instruction guides educators in developing strong readers, writers, and thinkers.

With a powerful online platform and a parallel Spanish language arts curriculum, Amplify CKLA provides a comprehensive solution for PreK–5 educators and students. Para la versión en español, haga clic aquí.

Background knowledge drives results

The Amplify CKLA PreK–5 literacy curriculum equips students with rich knowledge that intentionally builds to inspire curiosity and drive results. Explore research revealing the power of our knowledge-based curriculum including a study that meets qualifications for ESSA Tier I: Strong Evidence.

Amplify CKLA serves

38,000+

Classrooms

2,700,000+

Students

50

U.S. States and D.C.

Independently and rigorously reviewed

Amplify CKLA is among the few curricula that is both recognized by the Knowledge Matters Campaign—for its excellence in intentionally building knowledge—and rated all-green on EdReports, earning green scores across all gateways.


Read the review on EdReports

Our approach

Grounded in the Science of Reading and following the Core Knowledge approach, the Amplify CKLA PreK–5 curriculum combines rich content knowledge in history, science, literature, and the arts with systematic, research-based foundational skills instruction.

Grounded in the Science of Reading

As the first publisher to build a curriculum based on the Science of Reading, we put research into action with explicit systematic foundational skills instruction alongside a proven knowledge-building sequence. In collaboration with education experts and practitioners, we provide powerful resources that drive real results. Explore our Science of Reading success stories.

Developing foundational skills with explicit, systematic instruction

Amplify CKLA’s research-based scope and sequence progresses from simple to more complex skill development, starting with phonological and phonemic awareness. Instruction guides you in explicitly teaching the 150 spellings for the 44 sounds of English, with an intentional progression and review of skills to set your students up for success.

Following a proven knowledge-building approach

Following the Core Knowledge Sequence–a content-specific, cumulative, and coherent approach to building knowledge–students dig deeper and make connections across content areas to build a robust knowledge base for comprehending complex texts. See how the Core Knowledge curriculum is proven to improve reading scores and eliminate achievement gaps.

Built in partnership with the Core Knowledge Foundation

Amplify CKLA is the premier high-quality instructional materials offering for elementary language arts, built in partnership with the Core Knowledge Foundation to help students effectively develop deep content knowledge and foundational skills.

Learn more about the Core Knowledge Foundation

Cultivating biliteracy with parallel English and Spanish programs

Amplify Caminos is the perfect Spanish language arts partner to Amplify CKLA. The aligned programs combine rich content knowledge with systematic foundational skills instruction grounded in the Science of Reading that follows biliteracy principles, and supports multiple teaching models.

Learn more about Amplify Caminos

Amplify CKLA efficacy study

Tier I ESSA Evidence: Amplify CKLA knowledge-building improves achievement.

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What’s included

The program provides engaging print and multimedia materials designed to build a robust literacy-rich foundation in every classroom.

CoreELD and companions

High-quality teacher materials

Amplify CKLA teachers effectively deliver instruction with print and digital resources, including:

  • Teacher Guides with embedded differentiation.
  • Formal and informal assessments.
  • Ready-made and customizable lesson slides.
  • Trade books and Novel Guides.
  • Teacher resources and on-demand professional development.

Immersive student resources

Amplify CKLA students stay engaged with a variety of print and digital resources, including:

  • Original decodables and read-aloud Big Books (K–2), Student Readers (3–5), and trade books (K–5).
  • Student Activity Books with embedded assessments (K–5).
  • Research units for independent research built around a trade book (K–5).
  • Poet’s Journal and Writer’s Journal (write-in student readers for Grades 4–5).
  • Quests for the Core to support immersive, problem-based learning in Grades 3–5.

Hands-on phonics materials

Multisensory phonics and foundational skills resources help students practice key skills using fun, varied approaches that build independence.

  • Chaining Folder (K)
  • Letter Cards (K–2)
  • Syllable Cards (K–2)
  • Image Cards (K–3)
  • Blending Picture Cards (K)
  • Consonant and Vowel Code Flip Books (1–2)
  • Exclusive digital Sound Library

Robust digital experience

Amplify CKLA teacher and student resources are available through a digital experience platform that enhances instruction and saves you time. With everything you need in one place, you can effectively plan lessons, present content, and review student work.

  • Ready-made yet customizable lesson presentation slide decks
  • Dynamic live-review student tool
  • Interactive and student-friendly experience
  • LMS integration
  • Knowledge Builder animated videos
  • Recorded Read-Alouds
  • Professional development website
  • Real-time program support via email, live chat, and phone

English Language Learner program

Language Studio, designed for Amplify CKLA, provides WIDA-aligned daily instruction for English Language Learners to deepen their academic English.

Writing explorations program

A unique companion for Amplify CKLA, Writing Studio provides a deep dive into informational, narrative, and opinion writing to build strong, passionate writers.

Covers of four "Writing Studio Teacher Guide" books for different grades, featuring educational icons in orange, purple, blue, and teal color schemes.

Explore more programs based on the Science of Reading

All of the programs in our literacy suite are designed to support and complement each other. Learn more about our related programs: