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

Welcome, Algebra 1 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 your Reviewer Binder contained within the Algebra 1 shipping box. As you begin the process of organizing your materials, please refer to the inventory checklist found inside the 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 Map

Linked here is the Standards Map for Amplify Desmos Math California for Algebra 1.

Evaluation Criteria Map

Linked here is the Evaluation Criteria Map Algebra 1. 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

Linked here is the alignment of Amplify Desmos Math California to the Standards for Mathematical Practice at Algebra 1.

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

Linked here is the alignment of Amplify Desmos Math California to the California English Language Development Standards for Algebra 1.

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 this link to view how the California Environmental Principles and Concepts are represented in Amplify Desmos Math California Algebra 1.

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. 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. Please refer to Keeping the Big Ideas at the Center, linked here, for the Amplify Desmos Math California Algebra 1 lesson design and alignment to the Big Ideas.

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 Amplify Desmos Math California Algebra 1. 

A chart showing Algebra 1 units across two volumes, detailing instructional days, assessment days, and optional days for each unit, totaling 180 days plus 40 optional days.

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.

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.

Flowchart showing classroom activity timing: Warm-Up (5 min), Lesson Activities (30 min), Synthesis and Show What You Know (10 min), Practice and Differentiation (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 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 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.

Performance Tasks: At the end of each unit 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

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:

  • Conceptual Processing
  • Visual-Spatial Processing
  • Executive Functioning
  • Memory and Attention
  • Fine Motor Skills

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 chart outlines three differentiation strategies—Support, Strengthen, and Stretch—with specific actions for each. A Math Language Development box is shown at the bottom.

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
  • 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?

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 

Other Curriculum Guidance

  • 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

Welcome, Math 1 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 your Reviewer Binder contained within the Math 1 shipping box. As you begin the process of organizing your materials, please refer to the inventory checklist found inside the 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 Map

Linked here is the Standards Map for Amplify for Math 1.

Evaluation Criteria Map

Linked here is the Evaluation Criteria Map for Math 1. Please note that you will need to be logged into the digital platform to access the links in the Evaluation Criteria Map.

Standards of Mathematical Practice

Linked here is the alignment of Amplify Desmos Math California to the Standards for Mathematical Practice at Math 1.

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 chart with three columns: Drivers of Investigation, Standards for Mathematical Practice, and Content Connections. Each column lists related activities and skills.

California English Language Development Standards

Linked here is the alignment of Amplify Desmos Math California to the California English Language Development Standards for Math 1.

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 this link to view how the California Environmental Principles and Concepts are represented in Amplify Desmos Math California Math 1.

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. 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. Please refer to Keeping the Big Ideas at the Center, linked here, for the Amplify Desmos Math California Math 1 lesson design and alignment to the Big Ideas.

Program Structure

Amplify Desmos Math combines the best of problem-based lessons, intervention, personalized practice, and assessments into a coherent and engaging experience for both students and teachers.

A flowchart diagram showing "Screening and progress monitoring" linked to three phases: Core instruction, Integrated personalized learning, and Embedded Intervention, with daily support noted.

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 Amplify Desmos Math California Math 1. 

Mathematics I syllabus: Unit 1 to Unit 7 across two volumes, covering various math topics with instructional, assessment, and optional days detailed for each unit.

Lesson Design and Structure

Infographic showing a learning process: Warm-Up, Activities, Synthesis, and Reinforcement. Activities aim to increase student understanding over time.

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.

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.

Flowchart showing classroom activity timing: Warm-Up (5 min), Lesson Activities (30 min), Synthesis and Show What You Know (10 min), Practice and Differentiation (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 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 Math 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.

Performance Tasks: At the end of each unit 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

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:

  • Conceptual Processing
  • Visual-Spatial Processing
  • Executive Functioning
  • Memory and Attention
  • Fine Motor Skills

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 differentiation guide for Lesson 3 showing strategies for support, strengthen, and stretch, plus a section on math language development resources, all in a structured layout.

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
  • 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?

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

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.

Explore the California Adoption Toolkit resources and discover more about the program in the sections below.

Built for California

The Amplify Desmos Math California program is designed around the vision articulated in the Mathematics Framework for California Public Schools: Kindergarten Through Grade Twelve 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.
  • 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 individualized support as they dive into the mathematics.

California Adoption Toolkit resources

Program Description

Linked here is the Program Description for Amplify Desmos Math California.

Our Major Conceptual Ideas Strategy

The renowned mathematician William Paul Thurston said that mathematics is about understanding. The essence of this perspective is woven into the California Mathematics Framework. The Framework is clear that mathematics calls for “original thought and connections of concepts” and that mathematics teaching should “position students as thinkers and members of the classroom community…to support students in seeing themselves as young mathematicians.”

When Amplify developed Amplify Desmos Math California, we built it with one clear priority: grounding it in student understanding. The Framework provided a basis in the Big Ideas, of course, but also in the Drivers of Investigation (DIs), Content Connections (CCs), and Standards for Mathematical Practice (SMPs). Using those components of the Framework, we organized student learning around how students would make sense of the mathematics.

In addition to lessons and learning experiences specifically designated as Explore lessons or Investigations, we utilized the structure of the DIs, CCs, and SMPs in each lesson. Not only is every lesson in our program tied to one or more of the Big Ideas and their connections with one another, every lesson is also framed around these additional components. Each Lesson Overview centers around these questions:

Why? Why are students learning this content?

How? How are students grappling with the mathematical concepts?

What? What contexts encourage students to apply their knowledge?

Each of these questions maps to one of the additional aspects of the Mathematical Framework. Addressing the “Why?” grounds the lesson in one or more of the Drivers of Investigation. Focusing on “How?” encourages students to develop the habits of mind described by the SMPs, becoming explorers in mathematics rather than passive recipients. And maintaining attention on “What?” centers students and teachers on the precise mathematical topics that they are exploring aligned to the four Content Connections.

The Big Ideas and the conceptual and pedagogical shifts in the California Mathematics Framework reflect a shared goal to center education on student understanding. The Amplify Desmos Math California team is eager to support educators and students in their transition to conceptual understanding through our High-Quality Instructional Materials, professional development opportunities, and continued support.

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.

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.

Drivers of Investigation and Content Connections

Amplify Desmos Math California incorporates the Drivers of Investigation and Content Connection 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.

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
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
 

Meet the Science of Reading superstars at Windber Elementary

Hardworking teachers, schools, school leaders, and school districts deserve applause every single day. We try to honor educators and their outstanding contributions in as many ways as we can at Amplify—which is why our annual Science of Reading Star Awards is one of our biggest events of the year! We’re currently accepting nominations through Jan. 31Apply now!

This annual educator awards program is a great opportunity to shine a spotlight on the teachers, administrators, and entire schools working to improve student literacy outcomes in communities across the country—just like 2024 Science of Reading Rookie winner Windber Elementary in Windber, PA.

We hope their positive impact on student learning inspires you in your work—and inspires you to nominate a teacher or school for an award next year!

The challenge: Driving success in early literacy skills

Windber Area School District is a small, rural district in central Pennsylvania. Its preK–5 elementary school is Title One and has just over 620 students, 54% of whom are economically disadvantaged.

The district has been dedicated to helping its diverse student population succeed for years, but getting young learners to excel in literacy has always been a challenge.

That’s why, when Principal Charles Beckley stepped in to lead the way, he adopted a fresh approach to early literacy learning experiences. Principal Beckley has worked in education for a decade, first in North Carolina then at Windber Elementary as classroom teacher, dean of students, and now principal. Under his guidance, Windber’s educators worked together to transform the school’s reading program—and offer inspiration for literacy educators everywhere.

Best practices: Embracing a Science of Reading curriculum

Principal Beckley’s leadership did what truly powerful leadership does: inspire and equip others to lead, too.

First, he and his colleagues had to clarify the why of science-based literacy education. “We had to understand the literacy research and the rationale behind why we needed to make the shift,” he recalls. They collaborated with outside experts to get the information they needed, then they focused on teamwork.

“The original stakeholders who led the push for the Science of Reading, they talked to their colleagues, they collaborated. They were understanding of their teams’ needs and wants. It was a team effort and a team approach,” he says.

They knew they were on the right track when the school board offered their full support, aligning everyone behind their vision for research-based literacy education.

Individual teacher awards: Also deserved!

The most powerful drivers of this change, says Beckley, were the teachers: “Our teachers and coaches had the biggest lift because they had to learn the [CKLA] curriculum.” He affectionately calls them “the neurosurgeons of our school,” and emphasizes their ability to pinpoint areas of need and build the grade-level foundational skills students need most, as well as their readiness to embrace change and dedication to professional growth.

Beckley further emphasized his school’s collective effort, which other districts can look to as a model: “Our community has been on board with this,” he says, “and our students have been great.”

The adoption of Amplify Core Knowledge Language Arts (CKLA) was also crucial, providing the teachers with a framework and instructional materials that skillfully combined both skills and content knowledge.

The results have been undeniable. “If you look at our kindergarten,” Beckley says, “at midyear, [we] were 72% on or above benchmark through DIBELS®.”

Windber’s progress is proof of the power of an evidence-based curriculum that nurtures capable and informed readers—and of a community willing to deliver innovative literacy approaches. Their story is one of commitment to research, dedication to student success, development of shared leadership, and access to the right tools and support.

“We know that we’ve done the best for our kids,” Beckley says. “And that’s the most important thing.”

Inspired? Nominate a teacher, school, or district for an award.

We’re looking for our shining 2025 Science of Reading leaders now! Find the specs, our nomination deadline, and more on our Star Awards page. Nominate a teacher for an award.

S1-02: Community and joy within K–8 science instruction: Desiré Whitmore

Promotional graphic for "Science Connections" Season 1, Episode 2 featuring Desiré Whitmore, focusing on community and joy in K–8 science instruction.

In this episode, we join Eric Cross as he sits down with physicist and science education specialist, Desiré Whitmore. Listen in as Desiré explains her work at the Exploratorium, a public learning laboratory. Eric and Desiré discuss finding passion in science, the importance of meeting students we’re they’re at, and K–8 science instruction with real-life connections. Desiré chats with Eric about her work on supporting the science of teaching science content at the Exploratorium museum.

Explore more from Science Connections by visiting our main page.

Download Transcript

Desiré Whitmore (00:00):

I think it’s really amazing when we can realize as teachers, like, no, our job is not to just enforce rules on our students, right? Our job is to help students to achieve more learning.

Eric Cross (00:37):

Welcome to Science Connections. I’m your host, Eric Cross. My guest today is Desiré Whitmore. Desiré has held positions as a science curriculum specialist with Amplify Science, a professor of laser and photonics technology at Irvine Valley College, and is now the senior physics educator in the Teacher Institute at the Exploratorium in San Francisco. Her current work is focused on providing support and professional development to middle and high school science teachers to help them teach through inquiry. In this episode, we discussed Desiré’s pathway into physics, the impact of educators in her life, and the importance of representation for students in the classroom. I’m so excited for you to meet my physicist friend, Dr. Desiré Whitmore. All right. So just like a superhero, STEM superhero, you have an origin story and so—

Desiré Whitmore (01:36):

How long is this podcast gonna be? ‘Cause, you know, I can talk for days, so you—

Eric Cross (01:40):

I know, I know! But it’s, it’s…so, OK. We can give us a highlight. So, you know, 30 minutes. But what would be the origin story? You can start from any point in time, but what’s that journey like?

Desiré Whitmore (01:51):

I’m gonna start at the beginning, when I was really young, just because I think it’s important. Neither of my parents were college-educated. My mother didn’t finish high school. My father went back and got a GED later. But my father’s grandmother, her name was Claudia Pairs, and she was a teacher, right? So when I was a kid, she actually kind of raised me from, I don’t know, until I was around seven or eight. And so she was very important in who I became, I think because she taught me that college is important and she taught me to think. She taught me to ask questions. She taught me how to ask questions. Just the Exploratorium likes to do. Which is why I fit so well here. She taught me to always wonder and always think about things. And I remember as a kid, she taught me to count and read and write when I was, like, three. And she would always have bubbles at her house. And I was obsessed with bubbles. I thought bubbles were the coolest thing in the world. And just how you can take your breath and create this thing that now you can see, and it’s your breath, right? It’s your breath inside of a bubble and it’s flying around and it has all these cool colors, and then it would fly up and then eventually just pop. And you’re like, where did it go? Now my breath is just up there. Not understanding, as a kid, but my breath is always everywhere. I didn’t understand any of that, but I understood that my breath was inside of a bubble. That’s my earliest memory of thinking about science, was from that. And she was not a science teacher. She was—I don’t even know what she taught. I think she was an elementary school teacher, maybe. She died when I was 12. So I don’t have super-strong memories or of understanding who she was, only that she raised me and what she taught me as a kid. But that in itself really helped me because then when I was in the environment that I was in at home with my parents, which was not at all the environment she provided for me, I always had the things she taught me in my head, right? So I was always asking questions. My mother hated it. I was always taking things apart and putting them back together. So I used to take apart TVs and VCRs and vacuum cleaners and telephones, and my mother’s like, “Oh my God, I’m gonna murder you.” And she tried a couple times, too.

Eric Cross (04:25):

Did you ever put ’em back together and realize you had extra parts? You’re like, oh, hi.

Desiré Whitmore (04:29):

Oh yeah. All the time. Yeah. Yeah. VCRs have a lot of extra pieces. You’re like, “What do you even…it still works. It’s fine.” <laugh> You know? And vacuum cleaners too. They had a lot of extra parts, <laugh> all the time. And TVs. I should not have been playing with TVs. But like I said, I didn’t have a lot of parental, guidance as a child. So, like, whatever—I’m opening up TVs.

Eric Cross (04:54):

There’s a lot of open inquiry going on in your household. Yeah. Unsupervised.

Desiré Whitmore (04:59):

Unsupervised. But I didn’t know what it was or what it meant as a kid. I mean, I used to put things in the microwave. I did so many microwave experiments as a child, trying to cook different foods or melt different things. And so I think those kinds of experiences, where I was allowed to just be curious, kind of shaped who I am today. And then I kind of got into…you know, when I was in school, I loved math. In 10th grade, I had my first Black teacher, he was my chemistry teacher. His name was Mr. Strickland. And I was like, chemistry is cool, dude. And he was not the best teacher, but he was fun. Like you were saying, he was me, and he was talking to us the way I speak. And he was so like, just kind of chill and happy-go-lucky, I guess. But he wasn’t…he hadn’t taught chemistry in a long time. So he wasn’t a very good teacher. And me and one other kid in the class were in love with chemistry. And so we would read the book and do all the homework and he’d be in class lecturing and we’re like, “That’s not right, Mr. Strickland, like, what are you talking about?” And then he’d be like, “Oh, really, Desiré? Do you wanna teach the class, then?” And I’d be like, “Yeah.” And so I would go up and I would teach my chemistry class in high school, because the teacher was trying to make an example out of me. But he was also, I think, willing to be like, “I really don’t know.” And I really appreciated that. That he wasn’t just like, “I know all of the answers and you’re wrong.” Like, he wasn’t being a jerk, right? Like, the fact that I said, “Yes, I do wanna teach it,” and he actually let me do it? That’s pretty dope. And then I liked physics in my senior year in high school, but I didn’t think it was where I was gonna go or anything. I loved music and I loved math. Those were my two subjects.

Eric Cross (06:51):

What was it about math that resonated with you?

Desiré Whitmore (06:55):

I think it helped me understand the world a lot better. I didn’t have strong science teachers, I guess, growing up. It was a lot of reading out of books or watching laser discs in class. That’s how old I am.

Eric Cross (07:12):

Laser discs.

Desiré Whitmore (07:13):

Laser discs. And you know, so there wasn’t a lot of…I moved around a lot as a kid. I didn’t have this straight curriculum. You know, in one year, in the third grade, I went to three different schools.

Eric Cross (07:25):

Mm. Oh wow.

Desiré Whitmore (07:26):

It was kinda hard for me to latch onto school. But with math, because I could look at math and actually understand the world in it, I could see how math can be used to describe how things work.

Eric Cross (07:40):

I almost imagine, especially with so much transition in your life, it helped make sense of things. You had a lot of transition going on, but you were able to understand the world through the process of math. And then this early exposure, it kind of reminds me my own story too. Because there were these books that would do these cross sections of a cruise ship or a machine; that’s what got me really into engineering. Kind of How Stuff Works. I would watch that on Nova, How Stuff Works. I’d always be fascinated. Even Sesame Street had a segment where they would show you crayons and how the dye was added. You remember that?

Desiré Whitmore (08:19):

Yep. Yeah.

Eric Cross (08:20):

Young Desiré, doing photronics…photronics?

Desiré Whitmore (08:24):

Photonics.

Eric Cross (08:24):

Photonics. Photonics at home with the microwave and all these other things.

Desiré Whitmore (08:29):

Sure. How ’bout that.

Eric Cross (08:30):

<laugh> Right. And then loving math. So, early, I could see this combination, sort of this alchemy, happening inside you. And then, how did that lead to you becoming a physicist?

Desiré Whitmore (08:46):

It’s not as straightforward as it seems it should be. It’s obvious to everyone. <laugh>. But it wasn’t obvious to me. ‘Cause I wanted to be a lawyer. You know, because my parents weren’t educated, they didn’t really know…both of my parents and their subsequent spouses when they broke up—so my parents and my stepparents—are all bus drivers. And so they don’t know what options are. Right? So for them it’s like, “You have to be—you can be a doctor. You can be a lawyer. ‘Cause you’re smart. I know you’re smart, so you’re gonna be one of those things.” And I was like, “I don’t wanna be a doctor. That’s not actually interesting to me.” I did wanna be a teacher when I was younger, because I knew that my grandmother was one. But yeah, I went in and I was like, “I’m gonna be a lawyer. I’m gonna be a lawyer.” And then I go to college and I was like, ‘Eh, I don’t. I hate writing.” <Laugh> Like, I love reading, but I don’t writing. So I don’t think I wanna be a lawyer. I love music and I love math. I was originally going to major in music and math, but then I went to community college because I missed my opportunity to go to university for…long story. And so I’m at community college and I was like, “You know what? I’m gonna just do something new. I’m gonna be a marine biologist.” So my major was marine biology, and then they’re helping me pick out my classes. And they had zero math there. And I was like, “Pardon me. I think there’s a mistake, but I’m not taking any math.” And they were like, “No, you’re done with all your math. For marine biology, you only need calculus. And you took all of that in high school, so you’re done.” And I was like, “No, this is not gonna work for me, dude.” So I continued taking calculus anyway and moving on in math. And then I realized that biology wasn’t what I needed, but I did love my chemistry and I loved my physics classes. So I asked those teachers—chemistry, physics, and math teachers in community college, my professors—”I don’t wanna be a marine biologist and I don’t wanna be a lawyer. What do I do? What do you think I could study? I really like chemistry and math and physics.” And so all of them, all three of these professors told me, “Oh, it sounds chemical engineering would be good for you, so you should be a chemical engineer.” And I was like, “OK, cool. No problem.” That’s what I did. So I got my degree in chemical engineering. Right. And I finished community college, studying chemical engineering. I was like, “This is really cool. This is a lot of fun. I love engineering.” And then I transferred to UCLA as a chemical engineering major. And I was like, “I hate this.” <Laugh>. “I hate it a lot.” It was just…

Eric Cross (11:07):

What was it about chemical engineering that you were just not feeling anymore? What was it that just made you go, “nope”?

Desiré Whitmore (11:12):

It didn’t—at least the way it was taught to me—it wasn’t as as…exploratory, I guess. There wasn’t a lot of theory in it. There was just a lot of “OK, pull out a ruler and you’re gonna draw a thing and then this is how you’re gonna build a reactor.” And it didn’t seem very scientific to me. The science was missing. And don’t get me wrong, I understand, now that I have a degree in chemical engineering, that it’s not that chemical engineering is not scientific. But it’s that you build up the science and then you don’t focus on it. You focus on the engineering aspect of it. Which is, you have the science and the scientists will work on that aspect. But then how can WE do kind of larger batch chemistry. And for me, that was just less interesting. It was a lot of pushing buttons and just plug-and-play equations stuff. Instead of diving into first principles of why things happen in chemical engineering. There was no “why things happen”; it was “this is what happens, so this is the next step.”

Eric Cross (12:25):

You had to go so far into your academic career to realize that this is what chemical engineering is. And we were talking about representation, and not having examples or parents; your families were bus drivers. My mom was a receptionist and executive assistant, things like that. And I was the first of many, like you…we kind of had to go through and invest all this time and money to finally get to this place to realize, “This ain’t it.”

Desiré Whitmore (12:58):

This is not for me, yeah.

Eric Cross (12:59):

This is not for me. That was a long journey to get to that point.

Desiré Whitmore (13:03):

It was. Especially because I went through community college and I took a long time in community college, ’cause I was working full-time. So I was working full-time, going to community college. Took me a while. And then I finally get to UCLA. I’m like, “Yeah, I’m finally gonna get my degree and go make money!” And then I was like, “Ooh, no.” I mean, I could go and make money, don’t get me wrong. I could have graduated and made a ton of money. But I was not happy at all and I did not enjoy what I was doing. So, while I was in undergrad, I realized I don’t wanna do chemical engineering anymore. But what do I wanna do? But then I was taking…I took a quantum mechanics class. And that class blew my whole mind. And I was like, “This is the coolest thing that I’ve ever learned in my life, and this is what I wanna do.” And so I went and talked to my professor and I was like, “Can I work for you? Can I do research? Because this is amazing and I wanna do this.” I felt it was too late for me. I had been in school for so long and I was already kind of burnt out. So I was, “I’m not going to change my major. That’s just outta the question for me right now. It costs so much money for this degree and I don’t have—I’m not just gonna waste my time and keep working all these jobs.” So I had three jobs in college. And it was like, I worked at Radio Shack, I did research for this professor, and I worked in the library, the chemistry and physics library.

Eric Cross (14:28):

I love the fact that we’ve talked about laser discs; you said Radio Shack; and we talked about the analog internet of the encyclopedia salespeople. And I know all of those things. And I’ve been through all of those things together.

Desiré Whitmore (14:43):

Just in case people don’t know how old I am. <Laugh>

Eric Cross (14:47):

For our listeners who are way younger, yeah, this is how we grew up. This is how we—these things are extinct now. There’s this element of this kind of cultural connection. I think that we experience that. It kind of it flies under the radar. People don’t really realize it until you’re in an environment that’s different from what you’re used to. And you realize that, “Oh wow. this is not what I’m used to.” And the things that I’m finding funnier, the things that I connect with, it’s not what everybody else connects with. And as a teacher, it’s the same thing, right? Like, we go in the classroom and you know, you and I are rapping about laser discs and Radio Shack and I’m trying to talk to my kids about it. And they’re like, “Yo, Cross, what is that? Are you gonna give us a history lesson? What are these things?”

Desiré Whitmore (15:35):

Yeah.

Eric Cross (15:36):

And I found myself having to stay connected to pop culture, because I teach 12- and 13-year-olds all day. And it’s great for keeping things relevant for my students. But when I talk to my friends that are my peers, they’re like, unless they’re a teacher, they’re like, “I got no idea what you’re talking about.”

Desiré Whitmore (15:55):

Yeah. I have a friend who’s also a middle-school teacher and she’s always coming to me with all this. I’m like, “What are you talking about?” She did the Glow-up Challenge, but she did the Glow-down Challenge. So she invented a new thing. She’s like, “No, I couldn’t do Glow Up ’cause that’s too much. So I did the Glow-Down Challenge.” And it’s the cutest thing ever. And the students think it’s amazing. And I’m like, “That’s awesome. But I have no idea what the point of that is.” <Laugh>

Eric Cross (16:21):

And there’s this theme, too, that when we talk about teaching kids STEM, there’s this soft part of it, this relational piece of it that you mentioned, of this connective aspect that in a certain way kind of even superseded the content knowledge that your teacher even had at that point, where you’re going up and teaching the class. But just the fact that someone looked like you or spoke like you or connected with you in a certain way made a big difference to who you are as…well, the trajectory of where you went.

Desiré Whitmore (16:57):

Yeah.

Eric Cross (16:57):

“I like chemistry. It resonates with me.” And it’s something I think can get lost. And I think just to kind of a good segue, I use Amplify my classroom, and one of the reasons why is because of the representation that is in these videos. And you were part of crafting this for…was it the fifth grade?

Desiré Whitmore (17:21):

I mean, it was K–8. So I was—

Eric Cross (17:23):

OK, so you were doing the whole thing.

Desiré Whitmore (17:24):

Yeah, I was a part of the K–8 science team. My title was science curriculum specialist. But in reality I was hired to do the engineering internships, mostly. Which are middle school. And to be a sim developer. So sims K–8. I worked on several of them in both middle school and elementary. Yeah.

Eric Cross (17:47):

What was that like for you? When you were designing curriculum? ‘Cause as a teacher, it’s, you know, I think with teachers it’s kind of…I would consider myself, if I was gonna use hip hop as a metaphor, I’m more of a DJ than an MC. Where I wanna remix things that exist, versus, I don’t wanna write the lyrics in freestyle. So I don’t want to go and write the curriculum completely; I wanna take something that’s solid and then I want to go ahead and remix it. You are great at both. What was the process for you, being on that team, designing? How did you go about making, “OK, we’re gonna create this experience for kids”?

Desiré Whitmore (18:25):

It was, it was amazing. I learned so much, so much. It was the best job I had before I came to the Exploratorium. The process was amazing, because it wasn’t just me, right? It wasn’t just me. It was a whole team. And each unit had its own team. So we had a scientist, which I was the scientist we had. So we had a scientist; we had a literacy specialist, because it was really important to increase science literacy so that students understand not just that science exists, but “What are the terms that are used in science and how can I speak and act a scientist? What are the things that scientists actually do in their real life?” Then we had an assessment specialist and then we had a simulation specialist. And so, on the units that I was on, sometimes I was both the sim developer and the scientist, or sometimes I was just the sim developer and I got to work alongside another scientist, which was always fun. And so it was really nice, because I was working alongside master teachers. People who had been teaching for years, and they were able to help me better understand. ‘Cause I’ll come in and I’ll be like, “Yeah, there’s a unit on light waves, let’s come in and teach this unit on light waves!” <laugh> I was the sim developer and scientist on that unit, and there was another scientist working on the unit, but they were like, “Well, Desiré literally builds lasers, so I think she should be the science developer.” So we kinda had two science developers on that one, which was fun. But I come in and she’ll come in and she’ll be like, “Yeah, I think this is where we wanna go and this is what we wanna teach.” I’m like, “No way! Like, that’s not accurate, right?” And so I can come in, but then I’m coming in with all this crazy lingo, right? I’m up here. But then also I have taught kids about lasers and optics and photonics my whole career. So I’m also very capable of bringing it down to where kids need it to be. What I don’t know is how effective that is, right? When to do it and when not to do it. When to bring the level up; when to bring the level down. And so working alongside these other teachers and assessors really helped me to do that. And so for me it was just two years of deep learning experience. I learned—every single day at work, I learned something new. Which is something that I value and I’ve wanted in my career, my whole life. We made active decisions in that room. Like, “We want to interview scientists who are scientists of color or who have different abilities or who have different representations in all kinds of ways.” Right? And then we also have these fake internships, or not even the internships, but just in the general units. And we actively wrote scripts for those. And we actively wrote in those scripts, like, “This is a Black woman. This is an Indian woman. This is a Jewish man in a wheelchair.” Like, we specifically dictated exactly who we wanted in these videos, because we knew that representation was super-important and we knew that we wanted students to be able to connect.

Eric Cross (21:35):

Right. One of the things, I appreciate what I’m hearing a lot in that is the amount of intentionality that went into this. But even now as you’re reliving it, you’re still almost iterating on how could we improve it or how can we make it different or reach more people. And I think that goes towards when we’re talking about including more people and inclusion. Like, it’s not a binary thing. You’re always modifying; you’re always iterating; you’re always redesigning and improving to be more inclusive, to reach more students. Because you know, to your point, part of it is, “Yes, we wanna do this really awesome science curriculum,” but the other part of it is there’s more to it than just your content. And I think now more than ever…I use—we just finished the food bar unit. Metabolism. And in there there’s a simulator. They always ask me when I show the videos, “Are these, are these real people? Are these real situations?” And I tell ’em, “Well, the story is real, but these are all fictional actors. But what’s actually happening happens. It’s real.” And they get really into it. And I think one of the other things is with your simulations—especially the engineering units—there’s no one right answer. And so my students who want to go, “Mr. Cross, I wanna make the best bar! Perfect 10, best taste, cheapest!” And I’m like, “All right, good luck!”

Desiré Whitmore (23:06):

Yeah. Go do that.

Eric Cross (23:09):

Casue there’s something called trade-offs! It could happen! And they’re like, they’re trying. They get into the code. They try to open up the Inspect Element, when they feel like hackers.

Desiré Whitmore (23:17):

Yeah, they do. But these kids like, they’re so smart and they’re so resourceful. And I’m just thinking like, maybe that’s how we challenge them more, right? Sometimes we can give them these kinds of things where it’s like, “Go and create a program, ’cause that’s the level you’re at <laugh>. Go and create this program to do something similar that’s related to the work that we’re doing.”

Eric Cross (23:38):

I’ve had some of my own students redesign—I have one student who redesigns every assessment I give him. I give the project; I give the options for the final goal; and he always chooses—if I give three options, he always chooses option four. If I choose two options, he’s choosing option three. And so he’ll go into Google Sheets, he’ll pull all the data and then he’ll construct his own kind of spreadsheet with all the probabilities of different things.

Desiré Whitmore (24:06):

You tell this kid to make a GitHub right now <laugh> so that he can get a job as soon as he’s done with high school. <laugh>.

Eric Cross (24:12):

He’s amazing. And we did this one project where students had to design a Netflix show to show their understanding of metabolism. And they had to do four episodes. So I gave him a template. It’s not from me; it’s from, I think, EdTechPicks.org or something. And it looks like the whole Netflix splash page. They took photos, did the whole deal. He created NOTflix. Everyone else did Google Slides. His Google Slides was interactive. So when you clicked on different boxes, it actually took you to the next splash page of that show. I mean, it was….

Desiré Whitmore (24:48):

That’s fantastic.

Eric Cross (24:49):

It was, it was. I recorded his presentation. It was brilliant.

Desiré Whitmore (24:53):

But that’s amazing. And that speaks to your strengths as a teacher and why you’re an amazing teacher. Because you see the students and what they’re trying to do and you work with them; you meet them where they are. Right? There are so many teachers who would just be frustrated with that student. And it’d be like, “No, these are not your options. Your option was to do what I told you to do.” And there are many teachers who would do that. And I think it’s really amazing when we can realize as teachers, “No, our job is not to just enforce rules on our students. I mean, that is part of the job, because that’s what school was when it was created. But our job is to help students to achieve more learning in what we’re trying to do. And so the fact that you are so good with this student and that you encourage him to go above and beyond when he can, I think it’s so amazing.

Eric Cross (25:49):

Well, that brings me to my favorite group, organization, and the phase of your career of where you are now: The Exploratorium. And I wanted to kind of rap, talking about what you do now. Because the Exploratorium—I tell people, they go, what is that place? And maybe you can tell us what it is and then what you do. But for me, I’ll just tell everybody: It’s Disneyland for science teachers. And I love going there. I not only love going there because of what I receive from it professionally. Many of the PDs, I don’t even call ’em PDs—just communal learning experiences, that I’ve had that have been led by you and Lori and, and Tammy and the rest, and everybody that’s there have been incredible. And I have so much fun. Emotionally, I get excited when I go. When I’m on the plane, I’m like, “Here we go!” And then we go and we’re making fudge or we’re blowing darts with marshmallows across the room in the theme of Boba Fett. There’s just these rad things that are going on there. And it’s not like anything I’ve ever experienced before. So maybe we can close with talking about what the Exploratorium is, what you do there, for people who’ve never been and have been a part of it.

Desiré Whitmore (27:19):

I’m gonna give you what my definition of the Exploratorium is.

Eric Cross (27:21):

That’s what we want.

Desiré Whitmore (27:22):

So, the actual definition is, we are a public learning laboratory. We are known as the Museum of Art, Science and Human Perception. Cool. But, like, what does that all mean? Right? And I think your description of the Disneyland for science teachers, I think that’s a perfect description. ‘Cause for me, I tell people like, “Oh, I wanna go to the happiest place on earth.” And for me, that is the Exploratorium. And yes, I work there, and yes, it’s still true for me. So the Exploratorium is this huge museum. It’s an interactive science museum. And art—we have a lot of art. And it’s all about learning through doing. It’s not about learning science by going up to an exhibit and reading the little paper next to it. It’s like, no, you go up to an exhibit and you interact with it and you teach yourself science. The goal of the Exploratorium is really to help people understand that learning science, doing science, isn’t reserved for only scientists. Doing science is something that everyone in the world should and does do. And so helping people understand that everything we do is science is kind of the point of the Exploratorium to me.

Eric Cross (28:35):

Even the building itself…one of the other cool things too is, for people that don’t know, it’s the size of Costco or two.

Desiré Whitmore (28:43):

Yeah. Yeah.

Eric Cross (28:44):

It’s immense! And even the building itself teaches. Like, you have that whole workshop, dead-center in the middle of the floor where they’re designing things. It’s like inside-out. And then I remember going to the one experience where I think it was Eric who showed us that it’s one of the few facilities that is actually cooled by the Bay water. And there’s only a couple of those in the state that can do that. And it has a platinum rating, something wild that. So even just the building itself…everything that if they can extract every ounce of science teaching in that, it’s in there. And you are in a very important program for me. And can you talk a little bit about maybe what you’re doing in T.I.?

Desiré Whitmore (29:33):

So I am in the Teacher Institute. I’m a physicist in the Teacher Institute. And the Teacher Institute is a group of teachers and scientists. And our job is to basically support middle school and high school science teachers and teacher leaders in the state of California, but science teachers around the world, in their pursuit of science teaching. And by support, I mean we provide professional development. We provide other things, communities of practice, and we go and do workshops in certain places. We go to India to teach Tibetan monks and nuns science. And we go to Costa Rica to teach teachers all over the country of Costa Rica about science. And so our job is really, to help science teachers feel more secure in their science teaching and help to retain them in the field, because a good science teacher is so important in helping our students thrive. And so our job—and we take this very seriously—is to help science teachers thrive. And we are made up of PhD scientists and veteran classroom teachers. So we have on the one side teachers who have been teaching middle school or high school for years. One of my coworkers, Zeke, who I work with the most, he was a high school physics and environmental science teacher for 21 years before coming to the Exploratorium. And then me, I was never a classroom teacher. I was a professor; I was a physics professor at a community college, and I was a researcher. So my deep knowledge of physics and current knowledge of physics—or knowledge of current physics—combined with Zeke’s extremely experienced pedagogy is really how we work together as a team. And it’s not just Zeke, right? We’ve got a geologist on the team, Eric Muller. We’ve got Tammy, who’s a middle-school bio teacher. We’ve got, Julie Yu, who is a chemical engineer, PhD, and also a prior middle school teacher, former middle school teacher. We’ve got Hilleary Osheroff, who was a PhD biologist who used to work at the American Museum of Natural History. We’ve got Lori Lambertson, who was a middle-school math teacher. And so, you know, we all come together to bring our experiences both in and out of the classroom and in and out of the research lab to provide teachers with the best inquiry-driven stuff we can. And we’re very—we’re so equity-focused, because we believe that that’s important, right? We know that the impact of our work is, I think, why most of us are here. It’s why I’m here. In undergrad, my grad school, and my postdoc, I would go into classrooms. I would go into science museums and teach science to people. And I probably reached out to maybe…over that whole time, I would say a couple thousand people, right? Maybe a couple thousand people total. That’s great. But over 15 years of reaching out and only reaching a couple thousand people, that’s rough, right? And now I’m at the Exploratorium, and I know that if I reach one teacher, right? If I can teach one teacher…let’s say you. How many students do you have in your classes a year?

Eric Cross (33:11):

Two hundred a year.

Desiré Whitmore (33:12):

You have 200 students a year that you teach. So if you teach for 10 years, that’s 2000. That’s 2000 students. So I have, by teaching you today, assuming that I’m actually teaching you something that’s gonna be useful for you—

Eric Cross (33:29):

You do! And you are!

Desiré Whitmore (33:30):

You are going to be impacting these 2000 students over the next 10 years. And of course you’re gonna be in teaching for much longer than that. But let’s just say in 10 years, that payoff is so much higher, right? And you’re one teacher. But I have 30 of you in my workshop! And so if all of these 30 teachers each teach 2000 kids over the next 10 years, then I’m actually doing something. I’m actually changing the way that students see science, through changing the way that you see science. Right? And so I take my job very seriously, as we all do. Like, we’re so invested in our teachers. And it’s not that we don’t care about students, ’cause we absolutely do. But we understand that without good teachers, students aren’t going to be able to thrive, as often as they would otherwise. I was able to do it somehow. But I’m one. There are so many other kids who could have gone into science who didn’t because they felt they never connected to it. So our job is to try to help teachers connect to it. And an important part of that is allowing you all to experience science as a learner. We want you to play and have joyful experiences. We want you to enjoy science and to try to think about it from the perspective of your students. Walk in their shoes. So that when you then go back to your classroom, you are able to think about like, “Oh yeah, you know, my students totally asked the same question that I asked, or that another teacher asked in the workshop because they had the foresight to think about that’s what my students would ask.” Right?

Eric Cross (35:02):

Well, I think it’s really effective to create empathy for the learner. Because I find myself in that position. I don’t know if some kind of memory displacement field happens to me when I sit in those workshops, but Hillary will ask a question that I know the answer to and I’m like, “I don’t want to answer the question. I don’t—I might be wrong.” And I teach the subject! And I embody what it’s like to be a student. And when I leave, I might have to go back and reference exactly what the lesson was, but I remember how I felt when I didn’t know. And very rarely as teachers do we get put in positions like that. And so it helps me be in the position of my students emotionally, of what it’s like. Even even the intentionality of how do you ask questions and not showing an affect on your face when somebody says the right answer or the wrong answer.

Desiré Whitmore (35:55):

Well, I’m still learning that. I’m not great at it. Julie is the mast.

Eric Cross (35:59):

Julie’s got it nailed.

Desiré Whitmore (36:00):

I’m still trying to learn from her. She’s amazing. And I really would like to get there one day. But I’m still not there. I’ll be like, “Oh! Oh! Well, that’s…”. I have a terrible poker face. So I’ll be like, “Oh yeah, but you think that? Maybe…”. That’s a piece of it that’s really important, right? It’s this not giving away the answer, even when you have the right answer. Allowing people to ask the questions and explore and become invested in the problem, before giving away the answer. That’s something that I learn here at the Exploratorium. And like I said, I learn every day. And it’s something that I think is so important for us as teachers to learn and try to implement. Because oftentimes you’ll come and you’ll have students who are like, “I’m too stupid. I don’t know the answer.” And then somebody else will say the answer, and then the student is like, “Yeah, I was right. I’m too stupid.’” But it’s like no! But if you have that student actually think about it, then the student—once they do hear the right answer—they might be like, “Oh yeah, that would make sense.” Instead of “I’m stupid.” It’s like, no, this is, “I explored this and I figured it out on my own.”

Eric Cross (37:08):

Things keep coming back to how this experience and the process of them learning science even outweighs the content of it. ‘Cause the content is almost easier to share, it’s easier to get, you can look it up really quickly. But in your story and in many other people’s stories, the exposure, the experience, how they’re going through that process—I know that’s something that I’ve learned a lot in just watching. Not teaching science, but actually the science of teaching. Sitting in the workshops and watching how we’re treated as students, how you interact with us, and then being able to take that back to the classroom. And just to add onto the value that it’s created, I think one thing that it’s also done is given us community. And in addition to being able to impact students, it’s also been able to build resilience in teachers. Because we as teachers can feel very isolated. And especially now when things are incredibly difficult, and every teacher’s experiencing Covid and shutdowns and low staffing across the country in different ways, when you don’t feel you have community or people that you can connect with, it just makes everything feel exponentially harder. And you’ve done a great job at being able to build community with us in our community of practice. The Exploratorium has been able to do that. And it’s something that I’m super-grateful for probably more than anything else is that through these last two years, being able to connect really made me feel like, “OK, we’re gonna be able to do this.” And it’s not just about Cross or my other teacher in eighth grade or my sixth grade teacher who’s doing this. That message, I think, is really, really important. I wanna ask this: Was there a teacher or an experience that impacted you or inspired you throughout your educational career? You know, kindergarten all the way to college? Was there a moment or a person or anything that that really stuck with you, that you felt maybe influenced who you became? Met you where you were at? I know you mentioned your chemistry teacher at that point, but is there anyone else, or was it that person that was really the person who sticks out for you?

Desiré Whitmore (39:21):

There actually have been a few. Of course, the first is my great-grandmother, Claudia Pairs. But I think in the fourth and fifth grade I had the same teacher. She stayed with us going from fourth to fifth grade. And fourth grade was a new school for me. New town. I was the only Black child in the school, me and my sister. And my teacher recognized that I had no real help at home, I guess? And she really kind of…she saw that I was really smart. She would give me extra assignments when she could tell I was bored. It meant that someone outside of my house cared about me in a way that I didn’t feel cared about at home. Her name is Ms. Comet. Mrs. Comet.

Eric Cross (40:11):

Like…comet?

Desiré Whitmore (40:13):

Yeah. Mrs. Fran Comet. And I’ve tried looking her up as an adult and I can’t find her. But I work with so many teachers, and I know how hard teaching is and how degrading it can be…or demoralizing, I guess, to not be appreciated. And so I know what it feels to me when a student has reached out and shown me like, “Hey, I’m now in dental school,” or “I’m now getting a PhD in science,” and I’m just like….

Eric Cross (40:40):

I got a message this morning on Instagram from a student. And none of my students use their real names in their Instagram handles. So I got a message from Moonshine. <Laugh> And I was a seventh grade teacher. And through deduction, deductive reasoning, I figured out who it was. This person’s now in college and they responded in that…you know, you get one of those every once in a while. And I feel it just fills your tank. It’s just so important that we—it’s funny because, kind of to your point, we don’t realize who or how we’re making impacts on people. And in what ways. We just know that we are. And I tell other teachers, I said, “You have one of the few professions where you fall asleep worrying about other people’s kids.” And it’s the words that we speak, the things that we do, people are always watching. I know, no pressure, right!? Hopefully, someone listening can find Ms. Comet.

Desiré Whitmore (41:37):

Ms. Comet. Teacher at Buena Vista Elementary School back in the ’80s. But your talk about this impact, it reminds me of the thing I wanted to say, but I didn’t. But I’m gonna tell you right now. I mentioned how science was not a priority when I went to school, in my hometown. That’s Lancaster, California. But recently I got a phone call from a family friend and she was so excited. And she called me to tell me that her daughter was super-excited when she picked her up from school. Because I was in her classroom. She said, “Auntie Desiré was in my class today! And she works on lasers! And she does spectroscopy! And I wanna learn about spectroscopy now. So can we call Auntie Desiré?” And I was like, “Wait, what?” My friend was kind of confused. She’s like, “Desiré didn’t tell me she was in town.” She had no idea why her daughter was saying I was in her classroom, ’cause I was not physically there. And then I had to put the pieces together and I was like, “Oh my God, your daughter’s in eighth grade already.” It made me feel really old, ’cause I know this girl from a little baby. But I was like, “Oh my God, that’s the eighth grade unit on light waves for Amplify that I wrote, and I’m featured as the scientist.” Because we have real scientists in the units. And they featured me in that one, in my laser lab. And so this little girl who knows me really well, who lives in my hometown, is seeing representation in science. She doesn’t necessarily know I’m a scientist. She knows that—I don’t know what she knows about me. She just knows I’m Auntie Desiré and, you know, I like gumbo at Christmas. That’s what she knows about me. <Laugh>. And so she comes back and she’s so excited ’cause now she knows so much more about me. And she knows that if I can do it and I came from where she’s at, she can do it too. And she was super-excited. And I was just…it brought me to tears. I was just crying in the car. I was driving <laugh> at the time and I was like, “This is amazing. Work that I did is teaching you and all of your friends in this tiny little town that you live in. And that to me is so important because now this little girl knows that, like, she knows me as just a normal human right. Who likes Star Trek and Star Wars and The Owl House. And now she’s over here like, “Oh my gosh, this normal human wrote the science curriculum that I’m learning from.” Which I think is just so fantastic. And it really brought home for me kind of the importance of my work and why I’m doing what I’m doing. And that’s pretty awesome. And I get messages from Instagram, you know, from teachers who are like, “Hey, did you work on this? ‘Cause you were featured in the video, but did you write this light waves unit?” And I’m like, “Yeah.” And they’ll tell me, “I have students, this is their favorite unit. I’ve gotten notes from students saying, ‘This was my favorite unit in all of middle school.’” And I’m like, “Ohhhhhh!”<Laugh>

Eric Cross (44:33):

That story just gives me chills. Because I just can imagine how surreal that must feel. And you’re directly making that impact on those kids. And I’m glad that you shared that story so that everyone can hear it, because it’s a powerful story and I lived—I feel I was living it through you, just now, as you were discussing it.

Desiré Whitmore (44:54):

Yeah.

Eric Cross (44:54):

And I feel that way in the classroom to a small degree, because I get to have—when my students create posters of scientists that we don’t typically see, I’ve got you on my list of scientists, and I’m they’re like…And I’m like, “I can call her!” Like, “Mr. Cross, you KNOW her?!” I’m like, “Yeah, she’s a friend of mine! I was talking to her the other day!” And they’re like, “Whoa. She works with lasers?!”

Desiré Whitmore (45:17):

<Whispers> I do.

Eric Cross (45:18):

Desiré. I’ve held you for so long and—

Desiré Whitmore (45:23):

Yes, I’m sorry! I told you, I talk so much! I’m a teacher!

Eric Cross (45:26):

No! No, no, no, no. It was great! I wanna honor your time. Can you tell everybody where they can find out more about you again?

Desiré Whitmore (45:33):

So first off, you can find me on Twitter at Darth Science, D A R T H S C I E N C E, and you can also find me at Instagram at Dr. Laser Chick: D R dot laser chick. Even though I don’t post on Instagram that much. I also have a website, which is laser chick dot net. I’m still working on it. It’s not the best website yet. But, you know, it’ll, it’ll be better in the future.

Eric Cross (46:02):

Would you be willing to come back later on in the year and do a part two?

Desiré Whitmore (46:07):

Oh, for sure. Yeah. So I can actually finish telling you the story of how I got into physics! ‘Cause I totally didn’t. ‘Cause I’m all over the place.

Eric Cross (46:15):

So, everybody, cliffhanger! Next time she comes back, she’ll continue to tell us the story. Desiré, thank you so much.

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What Desiré Whitmore says about science

“I think it’s really amazing when we can realize as teachers… our job is not just to enforce rules on our students… our job is is to help students achieve more learning.”

– Desiré Whitmore

Senior Physics Educator, aka “LaserChick”, Exploratorium

Meet the guest

A Southern California native, Desiré earned an associate of science from Antelope Valley College, a bachelor of science in chemical engineering from UCLA, and a master of science and Ph.D. in chemical and material physics from UC Irvine. Her research focused on developing very fast laser and microscope systems that could capture molecules vibrating and rotating in real time. She was a postdoctoral fellow at UC Berkeley, where she designed and built attosecond lasers (the fastest laser pulses, which emit x-ray light, ever measured). At the Lawrence Hall of Science she wrote an all-digital K–8 science curriculum (Amplify Science), which aligned to the NGSS, with the Learning Design Group (LDG). Desiré left LDG to teach hands-on laser technology and physics courses at Irvine Valley College before joining the TI staff. She is the proud mom of Stella, a four-year-old boxer-pit mix. In her spare time, Desiré is restoring her 1967 VW bug.

Person with curly hair wearing a blue jacket, smiling at the camera with a blurred background.

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!

Winter Wrap-Up 02: Mathematizing Children’s Literature

Promotional graphic for Math Teacher Lounge podcast, episode 2, featuring Allison Hintz and Antony Smith, discussing how mathematizing children's literature can build math fluency.

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!

Explore more from Math Teacher Lounge by visiting our main page

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Bethany Lockhart Johnson (00:02):

Hi, I’m Bethany Lockhart Johnson.

Dan Meyer (00:04):

Hi, I’m Dan Meyer.

Bethany Lockhart Johnson (00:05):

And we are so excited for another episode of Math Teacher Lounge. And as you know, podcast format; you’re listening now. I think one beautiful thing about the podcast format is that it gives us a little bit more time to have these rich conversations. And I promise I won’t do it, but I could talk to our guests for hours, hours! Authors Allison Hintz and Tony Smith have just released Mathematizing Children’s Literature: Sparking Connections, Joy, and Wonder Through Read-Alouds and Discussion. And today we get to talk to the authors. Allison, Tony, welcome. Welcome to the lounge.

Allison Hintz (00:53):

Thank you. We’re so grateful to be here.

Bethany Lockhart Johnson (00:55):

We’re so excited to have you here. And I wanna say that my very first—was it my first math conference? Maybe it was my first math conference—up in Seattle, the CGI conference, and I’m all like, you know, wide-eyed and just like, “Can this be a place for me, this math community?” Re-envisioning my relationship with math and thinking about myself as a math teacher, what? And I went to your session on mathematizing children’s literature, and I was just so fired up. I was so wowed by your ideas, your energy, and your passion for students’ thinking. And I feel like as I read this book, I felt like I was hanging out with you. Like you were just so encouraging all the way through. Of educators, of other folks working with young people, and really guiding us how to listen with joy and with an open curious mind.

Dan Meyer (02:03):

Yeah. I would love to hear a bit about the genesis of this book for you folks. Like, I’m coming at this from a secondary educator lens. I’ve got small kids, so that’s also part of my interest here. But I love any book, any idea that seeks to merge what seems like two disparate worlds. Like it’s often the case that we feel like, well, there’s approaches for ELA and approaches for math, and they’re kind of separate disciplines. And these poor elementary teachers have to learn all of them and be experts at all of them. And here you both come along and say, “Hey, what if they are the same kind of technique?” Can you just speak to how this came about?

Allison Hintz (02:38):

Definitely. Tony, do you wanna take a try? Do you want me to start us off?

Antony Smith (02:42):

I can start. We oftentimes present and talk together and so we kinda switch back and forth. So that’s just how we are. So probably about eight or nine years ago, Allison and I, our offices were next to each other on our small campus. We’re both professors and we just happened to have a few children’s books that we looked at together and we were just thumbing through the pages. We really liked children’s literature. And we noticed that I would stop at certain points wondering about character motive or plot or sequence of events or language use. And Allison would stop at very different points in the book and notice number and concepts or something about mathematics. And that’s when we started to wonder, what would it be like if we were sharing a children’s book with a group of children and we put our ideas together? Where would we stop? What would we talk about? What would we ask children about in terms of their thinking and what they notice?

Allison Hintz (03:42):

And so we started playing with these questions that we had and started approaching stories with multiple lenses to see what kinds of things would children notice and what kinds of things might they say. And we were also on our own journey in trying to understand how to plan for and facilitate lively discussions and classrooms that surface really complex mathematics. And it felt like stories were a place where that might be a fruitful context for hearing children’s thinking. We’ve worked with a lot of teachers and students in our region. We live in the Seattle area and we’ve applied for some funding over time that’s really helped us be in a lot of community-based organizations and educational contexts and libraries and pediatricians’ offices and classrooms, various classrooms, and see what’s interesting about this and what might teachers and children do with stories that would surface complex mathematics to think about together.

Antony Smith (04:41):

Over time, we came to the realization that if we wanted to hear children’s ideas, we had to stop bombarding them with questions. <laugh> Yeah. And at first it made it worse that we were asking them math and literacy questions at the same time. And so we realized that what we needed to do was to back off and to ask children what they noticed and wondered.

Bethany Lockhart Johnson (05:01):

Can you say more about that and how that kind of evolved into mathematizing children’s literature?

Antony Smith (05:07):

We did work with a number of very thoughtful, talented classroom teachers and children’s librarians in public library systems who were just so masterful at asking open-ended prompts and questions, rather than kind of like the de facto reading quiz, that a read-aloud can become, which I’ve always disliked as a literacy educator. And we realized in our observing these read-alouds or interactive read-alouds or shared reading experiences that given the opportunity in the space and an adult who was actually listening, that children came up with all of the ideas we would have asked them about and more. So we didn’t have to be bombarding them with questions. They were already much more thoughtful than what would’ve been sufficient to answer our questions.

Allison Hintz (05:58):

And much like mathematics, it was really an iterative process. You know, we had some clunky read-aloud discussions where we were trying to accomplish so much and toggling multiple chart papers and different colored pens and all sorts of “how do we capture these ideas” and “do we separate ’em? do we keep ’em together?” And so it’s really been over time that with partners, we’ve learned these ways of having multiple reads of the same story that allow us to hear what children notice and wonder, and then to delve more deeply into their questions and their ideas through multiple reads where we might spotlight literary ideas that they notice; we might spotlight mathematical ideas that they notice. We might make purposeful integrations between those. But we found it to be most productive—and Kristin Gray really help us think about this—to have an open Notice and Wonder, get everything out much like an open-strategy share. We welcome here, record all the ideas, and it goes all over everywhere. You know, it can be a really not math-y noticing! And those are amazing! So there’s a lot of, um, yes, there is a ladybug on this page! The grandma is wearing green triangle earrings! Oh, your grandma wears green earrings! I mean, it all comes out.

Bethany Lockhart Johnson (07:27):

Wait, have you been in my classroom? ‘Cause that’s exactly— <laugh>

Allison Hintz (07:29):

<laugh> And then, you know, we think of it a lot like if math teachers might use the 5 Practices for selecting and sequencing, or if you might move from an open-strategy share to a targeted share, how can we get out all the questions that children are asking and then step back from them, take some time to really think about what they’re telling us they’re curious about, and plan some purposeful, intentional subsequent discussions that can delve more deeply into their ideas.

Dan Meyer (08:02):

I’d love to go into that a little bit more if that’s all right. Um, I’m gonna speak from someone who doesn’t have an elementary background and I’m gonna voice some worries that I had, some anxiety. One anxiety I have like in a classroom or a curriculum is when there’s no room for student ideas. Right? When it’s like, oh, there’s just room for the curriculum author or the teacher here. That is a sadness. But I when I see an instructional environment like you’re describing here, where there is openness to all kinds of different student ideas, of different levels of formality, from different kinds of cultural fonts of knowledge or wherever, I also get a little bit nervous because that, like, increases the risk that a student might come to understand that “my ideas are not good enough,” whereas in the class with no room for their ideas from their home or their language or their hobbies, like, they’re not gonna internalize the message that, “that wasn’t good enough.” And so I’m really curious as you move from the open Notice and Wonder where kids share all of themselves with you, and then you move to a targeted focus on some sort of disciplinary objective, how do you navigate that tension and help students feel like their contributions are valuable, even though we aren’t taking them up per se?

Allison Hintz (09:18):

That’s such an important question. I mean, I think we’ve grappled with this broadly in math education. I think any time we’re thinking about which ideas we choose to take up to pursue to consider, we have a responsibility to think carefully about whose ideas are being taken up and heard and considered. And so one of the tensions I hear you naming, I think, Dan, is when we engage in lively discussion where children’s thinking’s at the center, how do we make sure to upend and interrupt kinda status norms that run the risk of being deepened? Um, and I think by paying attention to whose ideas are taken up as much as which ideas are taken up, and what’s the mathematics we wanna explore is one tension. Um, another tension I might hear you naming is, you know, the complications that teachers face with time and pressure and coverage, and which mathematics ends up getting worked on. And, um, you know, it’s something we’ve really had to struggle with in mathematics education, where we move to more discussion-oriented classrooms that are really centered in sense-making to know that it takes a lot of time to do this thoughtful, thoughtful work. Um, does that begin to get at some of the tensions you’re raising? Is there, is there more you’re thinking about?

Dan Meyer (10:53):

I think it’s really helpful that you kind of broadened the scope of the question beyond your book to “this is an issue that we are, you know, really challenged by and focused on broadly in math education.” And, um, I appreciate you bringing the element in of whose idea—not just which idea is taken up, but whose idea is taken up—is an opportunity where, let’s say, multiple people raise an idea that is towards an objective the teacher has, they have the opportunity to disrupt certain kinds of status, like ideas about status, in that moment. From your perspective, like, are there techniques to say, I don’t know, parking-lot certain kinds of questions and say like, “Hey, like these are awesome”? I don’t know. I just know that I see kids at like ninth grade. They are very reticent, often. They’ve internalized totally this sense of like, “I’m not gonna just, like, share about the pants the grandma’s wearing, you know; that will not be received well.” And so I’m just kinda wondering how that happens and like, what are the ways we can disrupt that? That process?

Antony Smith (11:54):

So thinking about that, Dan, from the teacher’s perspective, in those kinds of scenarios where you wanna honor each child’s contribution, a couple of things that come to mind: One is that by, you know, initially by modeling what I as a teacher, something that I notice or wonder about, helps kind of set the expectation for what kind of response would be encouraged. And it’s broad, but it gives an example. And then also we really try to record or to chart all of the ideas that are shared so that we can revisit and honor those together. And then either later or on another day, if we choose one or two of those to explore in some way within a more focused read, then another thing that we do is have the idea investigation afterward that continues that thought, but goes back to being as open-ended as possible, so that those students or children who maybe didn’t have their idea as the one that was focused on by the group could go back to that or explore some other idea of their own, so that the idea investigation isn’t a lockstep extension activity, which is why we don’t call it that. So they could again bring in their own perspective. But I have to say from the teacher’s point of view, there is that moment of potential panic <laugh> because there is that power transfer when you’re asking children to help steer where this is going. And if you really mean it, you have to let them steer a little bit. And that can be terrifying. And, um, I always think of one teacher, Ashley, we worked with who read an adorable book, Stack the Cats, by Susie Ghahremani. And in that book, there’s a point where there are eight cats and they’re kind of trying to be a tower of cats and they fall and they’re sort of in the air on that page. And she asked her first graders—she stopped, and she asked, “How, do you think, how will the cats land?” And for about a minute and a half, the entire <laugh> class, was silent. They had their little papers; they had chart paper; they had clipboards; they had everything they needed. But that unusual phenomenon of a group of six- and seven-year-olds actually just sitting and thinking and not being peppered with activities was really stressful, but amazing. And then, after about the 90 seconds, they started out into their exploration of how the eight cats might land. They just needed a minute to think. And it’s so rare that we’re able to let children have that.

Allison Hintz (14:40):

In that same moment, Ashley, who’s a learning partner to us, she turned to us kind of quietly, like, “Should I pose a different question?” And <laugh>, we’re like, “No, let’s stick with it. Let’s see what happens.” So I think it creates this space too, this thinking culture, right? And this culture of “what does that mean to really pose a rich task?That’s open-ended, where there’s multiple access points?” Those eight cats could land in so many different ways. And there was broad access, there was a wide range of all the cats landing, and one’s on their feet, ’cause cats always land on their feet <laugh>, and there was every combination. And so, um, I think what’s really interesting—and to me, this brings back to your wonder, Dan—is, you know, “What’s the risk in openness?” And there’s always risk in openness. Um, it’s scary as a teacher, right? If I’m not the authority of knowledge and I don’t have control over where we’re gonna go, it might get into places that I didn’t anticipate. Or I don’t really feel as solid in the math as I want to. Or I don’t know what it sounds like to stick with silence and wait time, to know if my students are really in productive struggle or if that question was a flop. And so, um, I think this is some practice space for young mathematicians and teachers of mathematics, and just teachers, to explore with that openness and kind of the risk of the openness required for complex thinking to emerge.

Bethany Lockhart Johnson (16:12):

You know, it feels like the way you’re both describing this, it really is a culture shift, right? I kept feeling like I was given permission to be a beginner as I read this book. Like I was really…I loved how you said, I believe it was you, Allison, when you were in the class, you had a couple index card that you kept on your clipboard and that as you walked around, you were like, “Hey, if I don’t know what to ask, I ask one of these questions.” You know? And just this idea that, that, like Dan was saying, there is that loss of control, but that’s also a way to create this culture where students ideas are valued and we are allowing students to really generate the questions, which I thought was such an important idea to explore.

Allison Hintz (17:00):

We started this work long ago, super-excited about math-y books. And we saw a lot of potential in them and we still do. But the limitation we saw is that math-y books, they, they put forth a certain mathematics to be curious about. In some ways they tell you what mathematics to think about. So we started asking ourselves what would happen if we considered any story a chance to engage as mathematical sense-makers. And we started playing with non-math-y books and we got to a place where we could consider every story an opportunity to engage in mathematical thinking. And so we started noticing things over times, oh, these books tend to be really math-y. We call those text-dependent. We’d have to pay attention to the mathematics to understand the story. Whereas this pile of stories, these, they’re not overtly math-y. You could really enjoy the story and not pay attention to mathematics and have an amazing conversation. But what would happen if we thought of about this story as mathematical sense-makers and how might it deepen our understanding of the story? And then this other teetering pile of books, these are books where, you know, children didn’t tend to engage as overtly as mathematicians in it, but there’s opportunities in this story to go back to something—to a moment, to an illustration, to a comment—and think as mathematicians. And those were more about illustration exploring. And so, as we notice these different kinds of books, we really broaden what we thought about. And I think one of the things we really wanna think about in community through this book is what happens if we approach any story, every story, as mathematical sense-makers, because stories are alive in children’s lives, in homes and communities and in schools. And it’s a broad opportunity that we wanna take up. I was thinking, as I stay in this strait for just a moment about book selection, before we move into that process, um, Bethany in a previous MTL, you talked about representation.

Bethany Lockhart Johnson (19:12):

Mm, yeah.

Allison Hintz (19:14):

And do you remember when you shared the image of hair braiding?

Bethany Lockhart Johnson (19:19):

Yes. Vividly, yes. <laugh>.

Allison Hintz (19:22):

Yeah. And can you say just what that meant to you? What that….

Bethany Lockhart Johnson (19:27):

Yeah. Well, it was from a conference; Sunil Singh had used it and was talking about the artistry in mathematics and beauty in hair braiding. And, um, particularly, he was showing this particular image of this Black woman with her hair braided in profile and looking at the angles and the symmetry. And I shared that, you know, I spent so many hours in the beauty shop with my aunties and my mom and my grandma and continue to, to this day, that it just, it struck me immediately as familiar. And it struck me immediately as seeing an image that was reflective of my lived reality, projected as valuable and worthwhile for consideration in the world of mathematics. Which is not what I felt as a student of mathematics as a young adult or child. So it was this beautiful moment of, for me, the power of when we see images and we allow opportunities for re-envisioning what may be a common practice for that student, or may be something that they see every day.

Allison Hintz (20:44):

And in that same way, that image that was put up, we wanna think really carefully about representation in the stories that we select. And when we think of stories as mirrors or windows, we really wanna be mindful in story selection of whose stories are told and whose stories are heard. And when you said that you would sit down to listen to a story and you felt at ease or that you saw an image and you saw yourself that can be and should be something we really think carefully about when we select the stories that we select.

Dan Meyer (21:21):

It’s a wider path for representation of different kinds of people in literature, because people’s stories seem so much more present and towards the surface of their lives, versus, say, the abstractions and numbers and shapes in mathematics. It feels like more of a struggle to find ways to show people, hey, like you’re here, this, this place belongs to you. So in all these reasons, I think it’s really great you folks are using literature, which has this history of humanities, literally humanities, as a vehicle for mathematics. That seems pretty special here.

Antony Smith (21:56):

We both go to libraries and bookstores and look through books as often as we can, but also our partner, a children’s librarian, Mie-Mie Wu, helped us go through—when we would meet, she would bring three or four hundred books at a time.

Bethany Lockhart Johnson (22:13):

When you described her wheeling in the cart, oh, I wish I been in that room! <Laugh>

Antony Smith (22:18):

And the cart was, you know, probably three or four times bigger than she was sometimes. And we would go through hundreds of books and look at them and listen to her thoughts as a skilled librarian sharing with families, diverse families, and what catches the attention of a three-year-old sitting with her grandfather. And that was really a valuable, helpful experience. And it’s a partnership that continues. So in Last Stop on Market Street—and this is in the book; we talk about this, this children’s book quite a bit—in this story, CJ with his Nana, his grandmother, are riding the bus to the last stop on Market Street in San Francisco, to go, as we will find out, to help serve in a soup kitchen to help the community. And the teacher, Susan Hadreas, had the children record their ideas. She charted them in an open Notice and Wonder read. And one of the ideas that a young boy noticed was that CJ on the bus…a man with a guitar starts playing the guitar on the bus and CJ closes his eyes and it says CJ’s chest grew full. And he was lost in the sound and the sound gave him the feeling of magic. So this boy said, “I wonder, what does that feel like if you’re feeling the magic? What’s that?” And that was one of many ideas in the open Notice and Wonder, and Allison will talk about the math lens read, but first Susan went back and read with them. She had that idea, she circled it on the chart paper, and another day that week, she said, let’s go back and visit this story we really liked. And remember, we wondered what feeling the magic was like. Let’s go back through and let’s keep track of all the feelings and emotions that CJ had across the journey to the soup kitchen in this book. And so they did another read of the story; they were very familiar with it, of course, but they noticed new things and they also, every few pages, stopped and she helped chart all of the emotions that CJ experienced from envy to excitement to sadness. There’s a huge range in this book. And it was fascinating.

Allison Hintz (24:36):

I think one of the things that the children noticed was that CJ’s feelings were shaped by community. And that he shaped and shaped…he was shaped by and helped shape his community. And so the ways that he felt across the story were impacted by the other characters that he comes across. The guitar man on the bus. The bus driver who can pull a coin out from behind someone’s ear. The lady with the butterflies in the jar. Nana helping him to see the rainbow. And the students started, you know, being curious about that. How do we shape and how are we shaped by community? What communities are we a part of? This class is one community. I’m in many communities across my life. And they started to quantify the number of people in the story. So Mrs. Hedreas went back for a math lens read, and she said, let’s just keep track of and pay attention to how many people are in CJ’s life in this day. Because I can hear you starting to think about quantity. This class at the same time in other areas of the day had been working on counting collections, how to keep track, so they got out their tools. Some people pulled out ten frames, some people pulled out clipboards. They had a wide range of things they could use to help them keep track. They developed their own strategy, keep track however you want. She did a quicker read through it, flipping the pages, and then they get into these debates: <laugh> “We already counted that person!” “But they took their hat off and put it down to collect money!

Antony Smith (26:10):

“What about the dog?”

Allison Hintz (26:11):

“That’s the same person!” “Yeah, there’s a dog pound in his community!” <laugh> “Do animals count in our community?”

Bethany Lockhart Johnson (26:17):

I love it!

Allison Hintz (26:17):

“Yes, they count!” Uh, and so we went through and quantified and there was really this understanding as you saw these people throughout the story that communities can be of different sizes, but community has impact. And you have responsibility in your community to show up and to lean in and to know that bringing your full, authentic, vulnerable self, you shape people and they shape you. And what communities are people a part of. And it turned into this really interesting discussion about quantity and helped us think more about quantity and community. I think a really important moment for us and for that class was the transition from being people who almost did mathematics to a story, like counted things on a page, um, count acorns on a page in an autumn book, to being mathematicians who thought within the story.

Antony Smith (27:17):

And then two idea investigations that came from that —not at the same time, of course, but with the same group of children—one was they identified an emotion of their own and wrote and drew about that. And also, who helped them address or get out of or acknowledge that emotion. And then the other idea investigation was that all of the children drew or kind of mapped out a community that they were part of. Whether it was their neighborhood or their classroom or their soccer team or whatever it was. And so then those investigations strengthened the connections of those concepts to the lives of those children.

Bethany Lockhart Johnson (28:05):

Well, I, actually wanted to ask you about idea investigations. Because I feel like that was such an important invitation in your book. And the way I understood the idea investigation is you’re really paying attention to what’s coming up in your other reads. Right? And then these are opportunities to extend the thinking, or like you said, to extend a particular aspect: What’s your community? Can we map your community? Or what’s a particular emotion? And it was in such contrast to what I think I have probably done in my classroom more than once, which was like, “Oh, we read this story about seals. So now my story problem is gonna be about seals, right? <laugh> Like in the story, you know, Jojo, the seal had five balls. <laugh> So if Jojo still had five balls and two of them bounced away…” You know, or whatever. Right? But that’s not what an idea investigation is. Right?

Allison Hintz (29:03):

Yeah. I think this is where we also had some stumbles and can totally relate to what you’re saying as previous classroom teachers as well. We have come to a place where we are pretty in favor of a super open-ended idea investigation that takes up the things that have surfaced in the multiple reads and making sure it’s a rich task with many, many ways children can engage with that. There’s many, many, many right answers or ways to engage. Less is more there. So we moved way away from, like, even a worksheet that might have an idea from it to blank paper and math tools and places to get into some productive struggle around some of the complex things that were raised.

Antony Smith (29:59):

A challenge with worksheets is that they put a frame around children’s ideas. So either there are only three lines to write on, or there’s only a small box to draw in. Whereas a blank page really opens up the possibility. Um, and so—is it Ann Jonas who wrote Splash!? sorry, I don’t have it in front of me—the book Splash!, about animals that end up in and out of the pond, including a cat that is not happy about ending up in the pond, an idea investigation after that for very young children was, with the list of the different creatures displayed at the front of the room: On blank paper, hey, draw your own pond and decide how many of which and each type of animal you want in your pond and then write about it. Just on blank paper. And so that allowed some children to draw, like, three giant goldfish. But other children drew 17 frogs and three cats. And, and just, it lets children follow—

Bethany Lockhart Johnson (31:02):

It was theirs, right? It was theirs.

Antony Smith (31:04):

Their idea. <laugh> And that comes partly from, I think, as Allison mentioned, we both were classroom teachers before moving into academia. And I remember giving children worksheets, particularly math worksheets, where they weren’t necessarily bad, but right at the bottom, it says like, explain your strategy. And it gives two lines.

Bethany Lockhart Johnson (31:23):

Right! <laugh>

Antony Smith (31:25):

The only thing a seven-year-old can write there is “I thought.” Or “I solved it.” <laugh> And that’s not where we need to go.

Dan Meyer (31:34):

Yeah. If I could just ask the indulgence of the primary crowd here, like, I’m trying to make sense of all this. And I just wanna like, offer my perspective. My summary statement of what’s going on here. I’m trying to—I love how you both came here—

Bethany Lockhart Johnson (31:45):

<laughs> How ya doin’, Dan? How ya doin’?

Dan Meyer (31:47):

<laughs> I’m, ah, A, I’m loving this a lot. Um, B, I came in here loving how you folks are broadening the work of primary education to kind of find commonalities between these sometimes seemingly disparate kinds of teaching in ELA and math. Love that, I wanna say. But I think you folks are describing, with all these teachers you observed and your own work, is the work of attaching meaning to what students might not realize yet has meaning. Or they might think it only has one kind of meaning. But you, the teacher, with their knowledge, realizes that there are many more dimensions of meaning that can be attached to those thoughts. And I’m hearing that from you folks, when you describe A, what math is and the power of a teacher to name a thing as mathematical. Like, “Oh, you didn’t think math was that, but math is noticing; math is wondering; math is asking questions,” for one. But also this work you’re describing of how, like, first the task has to invite lots of student thoughts and then to say like, “Oh, I see that there’s a similarity to these two.” And to raise those up for a conversation or to ask a question like to extend one person’s, one student’s question a little bit more. But it’s always…I’m just hearing you folks attaching more meaning than the student might have originally thought. I appreciate the conversation. That’s really interesting.

Bethany Lockhart Johnson (33:03):

Well, and now that the book is out, I think it’s gonna keep evolving, right? Now that it’s gonna be in the hands of teachers and librarians and educators and caregivers, it’s exciting to see kind of where it goes next. Which actually brings us to our MTL challenge. Dan Meyer, do you wanna share?

Dan Meyer (33:22):

Math Teacher Lounge, we have a challenge for the folks who listen and we’d love for them to hop into the Facebook group Math Teacher Lounge, or hit us up on Twitter at @MTLShow and just, like, kind of exercise beyond listening, exercise the ideas you folks are talking about, some kind of a challenge that can help us dive deeper into your ideas. So what would you folks suggest for our crowd, for our listeners?

Allison Hintz (33:42):

I would love to invite people to playfully experiment with a favorite story, with a story that’s new to you. I would love to invite listeners to sit with a story maybe on your own, and just ask yourself as a mathematician: What do you notice and wonder in this story? Don’t feel any pressure. Maybe sit with a child or some children and listen to what they notice and wonder. Like, really listen! Don’t ask questions! But hear their questions and place children at the center and consider multiple reads. Consider continuing to pursue their questions. And we have a planning template that might support people in kind of sketching out some ideas if you’re open to playing with that too.

Bethany Lockhart Johnson (34:34):

And we will post—

Dan Meyer (34:36):

That’s awesome.

Bethany Lockhart Johnson (34:36):

—a link for that planning template in our Facebook group and on Twitter as well. So thank you so much for that resource, because I think it’ll definitely help. It could help you, like you said, it could help you kind of organize your thoughts or help you think about this work in a new way. So thank you for that resource and thank you for the amazing resource that is Mathematizing Children’s Literature. I am so excited to continue to engage with you both and with listeners as they dive into this book. If folks want to engage with you more, where can they find you? How can they reach you?

Allison Hintz (35:12):

Well, we’re on Twitter.

Bethany Lockhart Johnson (35:14):

Great.

Dan Meyer (35:15):

What’s your home address? <laugh>

Bethany Lockhart Johnson (35:24):

Wait, let me try that again. <laugh> ‘Cause it does sound like I’m like, <fake ominous voice> “Where can they find you?”

Allison Hintz (35:29):

4-2-5…. <laughs>

Antony Smith (35:32):

At the bookstore!

Bethany Lockhart Johnson (35:34):

Y’all, if folks want to continue this conversation or share these ideas or the math challenge, how can they tag you? How can they, they reach you on the World Wide Web, besides the Math Teacher Lounge Facebook group?

Antony Smith (35:50):

Yeah. Well, we are both on Twitter, and we’ve been trying to promote the hashtag #MathematizingChildrensLiterature. It’s very long, but once you type it once, your phone or computer…

Bethany Lockhart Johnson (36:01):

Easy. Yeah, those click, right? Is that what it is now?

Antony Smith (36:03):

<laugh> The other is that we do for our project, we have an Instagram account that is @MathematizeChildren’sLiterature.

Allison Hintz (36:11):

We care really deeply about hearing from people. You know, we think our ideas are constantly evolving and that there’s such exciting room to grow. And we just felt compelled to share what we were learning now so that together we could learn and build vibrant experiences for young children and teachers and families through stories. So we want to hear from people! We wanna learn about stories that are important in your lives and what children say, and grow these ideas together.

Bethany Lockhart Johnson (36:42):

And credit to Dan, you told me you went and ordered a bunch of the books they have on the suggested read list.

Dan Meyer (36:48):

Oh my gosh.

Bethany Lockhart Johnson (36:49):

You read ’em to your son.

Dan Meyer (36:50):

I got such a side-eye from my significant others around here for what I dropped on Amazon in one night! <laugh> Uh, all these books I didn’t have. Some of them I did. We are not fully illiterate around here! We do love the written word at the Meyer household! But there were a bunch that that I grabbed. I’m morseling them out day by day.

Bethany Lockhart Johnson (37:09):

Wait, at bedtime I read my one-year-old One Is a Snail, Ten Is a Crab. <laugh> And let me tell you, he had vigorous pointing and “Da? Da da da da?”

Allison Hintz (37:22):

<laugh> Aww, da da!

Bethany Lockhart Johnson (37:22):

So hey, we’re on the road. <laugh> <music> Deeply grateful, not only for your work and your beautiful book and your work, but also for the invitation to dive into the world of children’s literature in a way that many of us have not before. And it’s fun! Thank you, Tony. And thank you, Allison. And thanks for hanging out in the lounge.

Allison Hintz (37:48):

Thanks for having the lounge!

Antony Smith (37:49):

It’s been fun!

Allison Hintz (37:52):

Thank you both.

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 Allison Hintz says about math

“We started asking ourselves, “what would happen if we considered any story a chance to engage as mathematical sensemakers”.”

– Allison Hintz

Author and Associate Professor, University of Washington Bothell

Meet the guest

Allison B. Hintz: Dr. Hintz’s research and teaching are in the area of mathematics education. Her focus on mathematics came about during her years as a fifth grade teacher – it was alongside her students that she developed her own positive identity as a mathematician! Today she studies teaching and learning, specifically facilitating engaging discussion. Her research and teaching happen in partnership with educators and children in formal and informal settings and focuses on beliefs and practices that support all children in lively mathematics learning. She is a co-author, with Elham Kazemi, of Intentional Talk: How to Structure and Lead Productive Mathematical Discussions.

Twitter: @allisonhintz124

Antony T. Smith: Antony T. Smith is an associate professor of literacy education at the University of Washington, Bothell. He works alongside teachers to create engaging literacy-mathematics learning experiences through exploring and discussing children’s literature. He is committed to the concepts of motivation, engagement, challenge, and creativity in literacy teaching and learning.

 Twitter: @smithant  Instagram: mathematizechildrensliterature

Two people appear in separate circular frames; the woman is smiling and wearing headphones, while the man stands in front of bookshelves, perhaps discussing Mathematizing Children’s Literature.
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!

Welcome to Amplify Desmos Math California!

California educators, welcome to math that motivates. Introducing Amplify Desmos Math California, a new, 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 are eager to solve; teachers spend more time where it’s most impactful: creating a collaborative classroom of learners.

Scroll 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. Offered in English and Spanish, 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.

Please scroll to learn more about the K–8 program and explore sample materials. (TK and high school materials are in development and will be available soon.)

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.

Assessment

mCLASS benchmark assessments, along with daily formative checks, measure not only what students know, but also 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 will allow every student to find success in the math classroom.

An educational game screen with a worm on a log and numbered blocks. Adjacent is a worksheet titled "Finding the Missing Pair" with instructions and incomplete equations.
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.

Intervention

Integrated resources like Mini-Lessons, Fluency Practice, and Math Adventures provide targeted intervention on a specific concept or skill connected to the daily lesson. Extensions are also available to stretch students’ understanding.

Two pages of a math workbook displaying exercises on determining coordinates after rotation. The pages include diagrams, tables, and practice problems.
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 Big Ideas. The grade-level diagram changes through the course based on the math concepts being addressed.

Focus, coherence, and rigor

Each lesson highlights why the content being covered is important, how students will engage with the mathematics, and what students will do with the learning. Our lesson opener helps teachers understand the most important concepts of the lesson, and includes the Drivers of Investigation (DI), Content Connections (CC), and Standards for Mathematical Practice (SMP) that drive learning in each lesson.

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.
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 in such a way that all students can access the basic mathematical concepts, but they also offer possibilities for advanced exploration and problem-solving for those ready for more complex work, promoting an inclusive and differentiated learning environment.

Our innovative course-level investigations are designed to facilitate multipart exploration. Students grapple with Big Ideas, diving deep into key concepts that encourage comprehensive understanding. Data science is infused into the approach, equipping students with a strong foundation in interpreting and applying data-driven solutions. The Environmental Principles and Concepts (EP&Cs) are also a focus of our investigations, enabling students to understand and appreciate the coherence and interrelationship of Earth’s environmental systems.

A focus on multilingual and English learners

Children sitting at desks in a classroom with a large illustrated caterpillar on the wall. Beside them are printed educational materials labeled “Amplify Desmos Math” and “Ying’s Aquarium Story.”.

In building Amplify Desmos Math California, we partnered with the English Learner Success Forum (ELSF) to provide guidance on our multilingual/English learner support for teachers. ELSF is a national nonprofit organization that advocates for high-quality instructional materials that are inclusive of multilingual learners. ELSF’s guiding documents reflect research-based instructional strategies that are critical to curriculum design and were created by researchers, linguists, and practitioners from across the country. ELSF reviewed our materials and provided directional guidance and feedback to ensure that the program fully supports multilingual/English learners.

A component of our K–5 curriculum is the engaging unit stories that interweave mathematics with real-life situations and relatable narratives. These unit stories are specifically crafted to inspire curiosity and foster a deep connection between the learner and the math concepts being explored. This unique approach not only makes learning fun and interesting, but also allows our young learners to see themselves in the math.

To help students grow their domain-specific and academic vocabulary, Amplify Desmos Math California provides embedded vocabulary routines, such as prompting teachers to use a Frayer Model. These routines allow students to make connections to new language and offer repeated opportunities to develop and refine language.

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 Resource has leveled ELD (Emerging, Expanding, Bridging) differentiation to support all levels of Multilingual and English Learners. This approach ensures that all students, regardless of their language skills, can participate fully, grasp the material, and excel in their mathematical journey.

Uploaded digital glossary for languages other than Spanish. Up to nine languages of translations will be provided for.

Amplify Desmos Math California will include support resources for Spanish-speaking students across TK–Algebra 1/Integrated I beginning in the 20262027 school year.

A computer displays an educational activity about measuring platform heights. A notebook page is layered behind it, with a colorful hamster-themed illustration.

K–5 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. 

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

Screenshot of a kindergarten curriculum outline featuring units like Math in Our World, Numbers 1-10, Positions and Shapes, Understanding Addition, Making 10, and Shapes All Around Us. This comprehensive program utilizes New York Math standards to build foundational skills.
Program structure

Get to know the content and structure of Kindergarten Amplify Desmos Math California.

Cover of Amplify Desmos Math Grade K Teacher Edition featuring three children playing with math-related objects and a group of rabbits sitting nearby, aligning with the engaging curriculum seen in New York math classrooms.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Counting and Comparing Objects.

Digital educational activity showing a blue backpack illustration with dots, a task to match dots on cards, and printed sheet featuring a similar dot-matching exercise.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math: Student Edition Kindergarten," featuring an illustration of three children playing with math-related toys. A group of small white animals, possibly hamsters, play nearby. The scene brilliantly captures the joy of New York math exploration for young learners.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math Grade K Centers Resources" featuring a large, stylized red and pink "C" on a light pink background with simple geometric designs. This distinctive cover complements New York math curriculums with its engaging visual elements.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math: Grade K." The title is displayed with a geometric "I" illustration in the center. Subtitle reads "Intervention and Extension Resources" on a pink and white background, ideal for New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Illustration of a bear choosing a path with more mushrooms. Activity book page titled "A Furry Feast" with groups of objects to compare quantities.

In this lesson, students apply their understanding of how to compare groups of images as they determine which group has more or fewer and then compare their strategies by guiding a bear through a path that has more mushrooms than the other.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

Grade 1 math curriculum overview displaying six units with instructional and assessment days: counting, addition, subtraction, numbers to 10, comparing numbers, measuring length, and geometry—aligned with the New York Math standards.
Program structure

Get to know the content and structure of Grade 1 Amplify Desmos Math California.

Children interact with math activities on a large tablet while observing fish illustrations. The text reads "Amplify Desmos Math Grade 1 Teacher Edition, aligned with New York Math standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Story Problems in Maui.

A digital educational activity showing a math problem about leaves on a kalo plant with a related worksheet on plant growth.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Illustration of three children engaged in math activities from the "Amplify Desmos Math: Student Edition 1" textbook. One child holds a number card, while the others manipulate counters and images, experiencing an exciting approach inspired by New York math techniques.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Interactive math activity for kids featuring a frog and number line for subtraction problems, asking to find differences to locate bugs.

In this lesson, students find differences when subtracting 1 and 2 from the same number by helping a frog reach a lily pad where it can eat a bug.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A curriculum overview for Grade 2 in New York Math displaying 8 units, including topics like comparisons, addition, subtraction, and geometric shapes, with details on the number of instructional and assessment days. This plan integrates resources from Amplify Desmos Math to enrich learning experiences.
Program structure

Get to know the content and structure of Grade 2 Amplify Desmos Math California.

Cover of the "Amplify Desmos Math" Grade 2 Teacher Edition, showcasing children measuring with rulers and a poster displaying a mathematical equation, set against whimsical scenery with a colorful dragon. Perfect for New York math classrooms.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Adding and Subtracting.

Two digital worksheets about Theo's aquarium with tasks to estimate animal quantities using draggable graphs and illustrations of fish, frogs, and shrimps.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math Student Edition 2" showing three children performing a New York math activity with blocks and measurements.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of an educational book titled "Amplify Desmos Math Grade 2 Centers Resources" featuring a green "C" on a light green background, perfect for enhancing New York math education.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math Grade 2: Intervention and Extension Resources" featuring a green numeral 1 on a light green background, aligning with the New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Educational activity on a screen showing a worm and blocks with numbers. Another page shows an activity titled "Finding the Missing Pair," with numbered options and a video prompt.

Students continue to develop fluency by finding the number that makes 10 by helping a millipede reach its favorite food – a clump of leaves!

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

An educational curriculum outline for Grade 3 with seven units covering various mathematics topics, including multiplication, shapes, fractions, and measurement. Suggested instructional days are provided. The New York Math approach ensures a thorough understanding of each concept.
Program structure

Get to know the content and structure of Grade 3 Amplify Desmos Math California.

Cover of a "Grade 3 Amplify Desmos Math Teacher Edition" book, featuring a cutaway building with diverse students and a teacher working on New York math problems and organizing materials.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Concepts of Area Measurement.

Math activity screenshot showing a problem to calculate the area of an unpainted wall space with given side lengths in a room diagram.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math Student Edition 3" showcasing illustrated children engaged in various mathematical activities inside a glass house structure, reflecting the dynamic energy of New York math.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of the Amplify Desmos Math Grade 3 Centers Resources book, featuring a 3D letter "C" in blue and white on a minimalistic background, perfect for aligning with New York math standards.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of an "Amplify Cover of the "Amplify Desmos Math" Grade 3 book featuring intervention and extension resources, with a blue geometric "I" on a light blue background, aligning with New York Math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Activity sheets showing a bar graph and a table for counting animal stickers: 7 rabbits, 5 raccoons, and 2 foxes. Includes instructions for arranging data points on a graph.

Students compare data represented on bar graphs with different scales by using animal stickers to create scaled bar graphs.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A course outline for Algebra 1 with 8 units, each detailing the number of instructional and optional days. The total suggested instructional days are 144 and 28 optional days, aligning with New York Math standards.
Program structure

Get to know the content and structure of Grade 4 Amplify Desmos Math California.

Cover of "Amplify Desmos Math: Teacher Edition Grade 4" showing children learning New York Math outdoors, using large mathematical tools and numbers, with one child in a wheelchair.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Size and Location of Fractions.

Screenshot of a digital math activity showing a fraction number line task with a log-cutting visual and an instruction page titled "Locating Fractions.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math, Student Edition, Grade 4," showcasing students collaborating on math problems involving shapes and numbers against a vibrant backdrop that blends cityscapes and natural scenery, capturing the essence of New York math learning.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of the "Amplify Desmos Math" Grade 4 Centers Resources book, featuring a large, stylized blue letter "C" on a light blue background. This essential resource for New York math educators ensures engaging and effective instruction.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math, Grade 4: Intervention and Extension Resources," featuring a geometric illustration and a blue and orange color scheme inspired by New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An educational activity displays a drag-and-drop task to determine platform heights using tube lengths, showing a room scene and instructions on a digital interface.

Students choose tube lengths to connect to platform heights for hamster homes, identifying possible heights using what they know about multiples.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A Grade 5 curriculum scope and sequence chart with units covering volume, fractions, multiplication, shapes, place value, and measurement. Each unit lists instructional and assessment days to amplify Desmos Math activities.
Program structure

Get to know the content and structure of Grade 5 Amplify Desmos Math California.

Illustration of three students engaging with various math activities outdoors and around large blocks. Text at the top reads "Amplify Desmos Math, Grade 5, Teacher Edition" - a perfect resource for New York math educators.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from a complete sub-unit on this site: Unit 2, Sub-Unit 1: Fractions as Quotients.

Activity worksheet and digital screen showing a panda on a cliff, with instructions about placing a missing bamboo shoot to help it reach the leaf.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math: Student Edition, Grade 5" featuring students engaged in various mathematical activities outside, such as block building, measuring, and gardening—a perfect resource aligning with New York math standards.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover image of "Amplify Desmos Math Grade 5 Centers Resources" featuring a large purple letter C on a light purple background, showcasing the innovative approach of Amplify Desmos Math that's making waves in New York math education.
Centers Resources

Engaging, hands-on games for students to play collaboratively to strengthen their understanding of key skills and concepts.

Cover of "Amplify Desmos Math Grade 5: Intervention and Extension Resources," featuring a large, stylized number five in purple against a light purple background with minimal geometric patterns, ideal for New York math curriculum support.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Screen showing a student activity about decomposing a figure into prisms, with a drag-and-drop exercise and an adjacent worksheet labeled "Seeing Prisms.

Students decompose a figure into rectangular prisms and determine the volume of the figure by adding the volumes of the individual prisms.

A clear plastic box contains various math manipulatives, including counting cubes, geometric shapes, rulers, and dice, displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

6–A1 sample materials

Click the links in the drop-down sections below to explore sample materials from each grade. 

For helpful navigation tips and more program information, download the Amplify Desmos Math Program Guide.

You can also watch a product expert walk through a lesson and the available program components.

Laptop showing a math activity with geometric shapes. Two textbooks titled "Amplify Desmos Math" are displayed above.
An educational document titled "Scope and Sequence" for Grade 6 math, designed in collaboration with Amplify Desmos Math, outlining six units with instructional and optional days for topics such as fractions, integers, and expressions.
Program structure

Get to know the content and structure of Grade 6 Amplify Desmos Math California.

Cover of the Grade 6 Amplify Desmos Math Teacher Edition, showcasing students engaging in various mathematical activities around a balance scale with variables, inspired by New York math educational standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from three sub-units on this site: Unit 1, Sub-Unit 1: Area; Unit 3, Sub-Unit 1: Units and Measurement; and Unit 6, Sub-Unit 1: Solving Equations.

A digital activity showing two model trains on a track with a question about speed. A printed page on the right is titled "Model Trains" with warm-up instructions.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of “Amplify Desmos Math, Student Edition, Grade 6” featuring an illustration of children engaging in various New York math-related activities outdoors.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover image of "Amplify Desmos Math" for Grade 6, featuring a 3D pink letter "I" and the text "Intervention and Extension Resources." This New York math edition supports students with comprehensive resources.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

A digital illustration of math balancing scales featuring boxes and a fox, alongside a worksheet displaying similar content and activities for learning math concepts.

Students use equations and tape diagrams to represent seesaw situations and to determine unknown animal weights, helping them make connections between diagrams that represent equations of the form `x+p=q` or `px=q`.

A clear plastic storage box filled with educational math manipulatives, including colorful blocks, shapes, measuring tools, and counting cubes displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A Grade 7 math curriculum outline, featuring units on scale drawings, proportional relationships, measuring circles, rational numbers, operations, equations, angles, area, and probability with sequencing and days allocated. Perfectly aligned with Amplify Desmos Math for New York Math standards.
Program structure

Get to know the content and structure of Grade 7 Amplify Desmos Math California.

Cover image of "Amplify Desmos Math Teacher Edition Grade 7" featuring an illustration of students engaging in math-related activities with geometric shapes and construction elements against a New York cityscape background.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from three sub-units on this site: Unit 1, Sub-Unit 1: Scaled Copies; Unit 4, Sub-Unit 1: Percentages as Proportional Relationships; and Unit 6, Sub-Unit 1: Equations and Tape Diagrams.

Activity page showing a grid for shape creation with an area of 8 square centimeters. Includes shape options and instructions on rotation. A booklet page displays area challenges and warm-up tasks.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math, Student Edition, Grade 7" showing students engaged in math activities against a cityscape reminiscent of New York, with purple geometric structures and a crane in the background.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math: Grade 7 – Intervention and Extension Resources" featuring a stylized 3D "I" on a light purple background, ideal for both New York math and national curricula.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

Screenshot of an educational website showing a math activity featuring a sheep named Shira. There is a graph and a worksheet on inequalities displayed.

Students solve inequalities with positive and negative coefficients to solve a variety of challenges featuring a fictional sheep who eats grass according to an inequality.

A clear plastic storage box filled with educational math manipulatives, including colorful blocks, shapes, measuring tools, and counting cubes displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

Grade 8 math curriculum chart featuring 9 units, such as Rigid Transformations and Congruence, with Suggested Instructional days. Each unit outlines instructional days, assessment days, and optional days—complemented by insights from Amplify Desmos Math to enhance your New York math learning experience.
Program structure

Get to know the content and structure of Grade 7 Amplify Desmos Math California.

Illustration of children engaging in learning activities outdoors near a large slide. The title "Amplify Desmos Math Grade 8 Teacher Edition" is shown at the top, highlighting its relevance to New York math curriculum standards.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from three sub-units on this site: Unit 1, Sub-Unit 1: Rigid Transformations; Unit 3, Sub-Unit 2: Linear Relationships; and Unit 6, Sub-Unit 2: Analyzing Numerical Data.

Image of a digital math activity titled "Line Capture #2" featuring a grid, equations, and instructions. A paper worksheet with graphs and a "Line Zapper" title is displayed alongside.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of the "Amplify Desmos Math" Student Edition for Grade 8, featuring students engaging in various mathematical activities in a stylized outdoor New York setting.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

Cover of "Amplify Desmos Math Grade 8: Intervention and Extension Resources" featuring a stylized "I" on a gray background, tailored for New York math standards.
Intervention and Extension Resources

Additional resources to reinforce and extend key concepts, including Mini-Lessons and Extensions.

An educational worksheet on robots, featuring a graph with red, purple, and blue robot icons, and instructions for a warm-up activity.

Students connect points on a scatter plot with individuals in a population and rows of data in a table. The analysis of scatter plots continues with data about the eye distances and heights of robots.

A clear plastic storage box filled with educational math manipulatives, including colorful blocks, shapes, measuring tools, and counting cubes displayed outside the box.
Hands-on manipulative kit

An optional add-on to your Amplify Desmos Math California program, the manipulative kit provides hands-on learning tools designed to simplify and illustrate complex mathematical concepts.

A course outline for Algebra 1 with 8 units, each detailing the number of instructional and optional days. The total suggested instructional days are 144 and 28 optional days, aligning with New York Math standards.
Program structure

Get to know the content and structure of Algebra 1 Amplify Desmos Math California.

Cover of "Amplify Desmos Math: Algebra 1, Teacher Edition" featuring diverse characters engaged in mathematical activities, with a graph and a bridge in the background, illustrating the vibrant energy of New York math.
Teacher Edition pages

Planning and instructional guidance is visual, organized, and easy-to-follow. To help you review the program, we have included samples from two complete sub-units on this site: Unit 2, Sub-Units 1–2: One-Variable Equations and Multi-Variable Equations.

A digital educational interface shows a graph with data points and textual instructions comparing year and breeding pairs. Adjacent is a page discussing penguin populations with charts and illustrations.
Digital experience

Explore our digital experience! Every lesson in Amplify Desmos Math California has student print materials and digital recommendations.

Cover of "Amplify Desmos Math" Student Edition A1, featuring an illustration of diverse characters engaging in New York math activities against a backdrop of graphs and mathematical concepts.
Student Edition pages

Motivate students with mathematics that is both rigorous and delightful.

A digital math activity screen showing block arrangements and a worksheet page titled "Shelley the Snail" with related graphics.

Students represent the solutions of a situation using a table, a graph, and multiple forms of an equation to identify multiple combinations of blocks that can help Shelley the Snail cross a gap.

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
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

Request additional samples.

Ready to learn more? Connect with an Amplify Desmos Math California expert to request additional program samples.

Season 10, Episode 10

From talk to text: How language skills shape reading success, with Charles Hulme, D.Phil., and MaryKate DeSantis

In this episode of Science of Reading: The Podcast, Susan Lambert is joined by emeritus professor of psychology and education at the University of Oxford, Charles Hulme, D.Phil.; and founder of Left Side Strong LLC, MaryKate DeSantis. They dive deep into the critical connection between oral language development and reading comprehension. Together, they also explore exactly what oral language development is, how to screen children for deficits in oral language abilities, and the most effective strategies educators can use for intervention.

Meet Our Guest(s):

A smiling older man with short gray hair poses in front of green plants, highlighting themes of language development. A lightbulb graphic and circular frame decorate the photo.

Charles Hulme, D.Phil.

Charles Hulme is emeritus professor of psychology and education at the University of Oxford. He has broad research interests in reading, language, and memory processes and their development; and is an expert on randomized controlled trials in education. He has published widely and is in the top 2% for citations of all researchers in the field of education. He holds an honorary doctorate from the University of Oslo (2014) and is a member of Academia Europea and a Fellow of the Academy of Social Sciences. He was also elected a Fellow of the British Academy in 2017.

A woman with short brown hair and a black turtleneck smiles at the camera. She is framed by a circular border with a blue book icon and orange decorative lines, hinting at her passion for reading success. Bookshelves are blurred in the background.

MaryKate DeSantis

MaryKate DeSantis is the founder of Left Side Strong LLC. Her experience working in a large urban school district as a special education teacher, reading specialist, and district-wide literacy coach has fueled her passion for translational research to ensure that all children receive evidence-based instruction. Her background in teaching reading sparked an interest in researching language, literacy, and developmental trajectories. She is a full-time faculty member in the Speech and Language Literacy Lab at MGH Institute of Health Professions, and is also an ongoing-research collaborator with the BRIDGES Lab at the Harvard Graduate School of Education.

She has also served as a clinician in the Neurology Department at Boston Children’s Hospital, is an adjunct professor at the Boston College Lynch School of Human Development, and is a Ph.D. student in educational psychology at the University of Connecticut.

Meet our host, Susan Lambert

Susan Lambert is chief academic officer of literacy at Amplify and host of Science of Reading: The Podcast. Throughout her career, she has focused on creating high-quality learning environments using evidence-based practices. Lambert is a mom of four, a grandma of four, a world traveler, and a collector of stories.

As the host of Science of Reading: The Podcast, Lambert explores the increasing body of scientific research around how reading is best taught. A former classroom teacher, administrator, and curriculum developer, she’s dedicated to turning theory into best practices that educators can put right to use in the classroom, and to showcasing national models of reading instruction excellence.

Person with short blonde hair, glasses, and earrings, wearing an orange jacket, smiling in front of a plain gray background—committed to literacy education and fostering background knowledge for all learners.

Quotes

“Reading comprehension is the process of taking the meaning from printed symbols on a page and translating them into a linguistic and cognitive code. It's making contact with the processes of language comprehension.”

—Charles Hulme, D.Phil.

“Language comprehension is really what leads us to reading comprehension.”

—MaryKate DeSantis

“We've got to start from the premise that reading is language. Without language, there would be no reading. Reading is a process that involves taking language in its written form and translating it back into its original form, which is spoken language.”

—Charles Hulme, D.Phil.

“If we go back in development, language skills appear to form the foundation for the ability to decode print, as well as the foundation for the ability to understand what is decoded.”

—Charles Hulme, D.Phil.

“Language skills are unconstrained, meaning the sky's the limit. As long as you continue to engage in any sort of way, your language skills can continue to develop throughout your lifetime.”

—Susan Lambert

“We talk about learning to read, but we also need to talk about reading to learn. A lot of what we learn in our lives is through reading, and reading is certainly a powerful driver of vocabulary and language development.”

—Charles Hulme, D.Phil.

“Focusing on language is worth the time. …  When we treat it as foundational, that's when we will give more students access to success.”

—MaryKate DeSantis

“If we want better readers, we have to grow better language users.”

—MaryKate DeSantis

Amplify Reading wins award for 2021 best remote and blended learning tools

(Brooklyn, New York – March 5, 2021) Amplify, a publisher of next-generation curriculum and assessment programs, today announced that Amplify Reading has been named a winner in Tech & Learning’s 2021 Best Remote & Blended Learning Tools awards for the Primary Grades (K–6) category. The award celebrates high-quality technologies that have helped students and teachers adapt to remote and hybrid learning environments.

Amplify Reading is a state-of-the-art supplemental digital literacy program that combines captivating storytelling, the latest literacy research, and sophisticated adaptivity to provide students with the exact instruction they need when they need it. Research has shown that the program enables students to make better-than-expected progress, reduces students’ risk for reading difficulty, and helps close achievement gaps for students learning English. With a completely student-centered design, Amplify Reading is the perfect program to bridge learning gaps while in the classroom and at home. Students can use it in any environment.

“We are honored to be named a winner of Tech & Learning’s Best Remote & Blended Learning Tools awards, especially during such a pivotal time in education” said Melissa Ulan, senior vice president and general manager, supplementals, at Amplify. “Amplify Reading helps provide targeted practice in foundational reading skills no matter where learning is happening. We are thrilled to be recognized.”

“Despite the many challenges schools have had to face this past year, technology continues to be one of the key drivers for innovation,” says Tech & Learning Group Publisher Christine Weiser. “The winning products recognized here have supported continuous instruction throughout the pandemic, and we expect this momentum to continue into next year and beyond.”

About Amplify

A pioneer in K–12 education since 2000, Amplify is leading the way in next-generation curriculum and assessment. Our captivating core and supplemental programs in ELA, math, and science engage all students in rigorous learning and inspire them to think deeply, creatively, and for themselves. Our formative assessment products turn data into practical instructional support to help all students build a strong foundation in early reading and math. All of our programs provide teachers with powerful tools that help them understand and respond to the needs of every student. Today, Amplify serves more than seven million students in all 50 states.