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. # Program details

Learn what’s covered, how it aligns with standards, what’s our pedagogical approach, how the program can be used with your students and more. ## Program details

<p>Learn what&#8217;s covered, how it aligns with standards, what&#8217;s our pedagogical approach, how the program can be used with your students and more.</p>

## What's covered

Fractions skills are taught through interactive lessons, and reinforced in a corresponding practice. From partitive and quotitive division, all the way back to understanding that a fraction is a single number, if it’s a fractions-related standard, we’ve got a lesson covering it!   Amplify Fractions’ lessons require approximately 15 minutes to complete. The feedback students receive is personalized, and will vary based on students’ skill levels. The content is divided into three sets, each of which is sub-divided into strands of lessons.

Intro to Fractions
Standards  Alignment:  Grade 3

These 15 lessons emphasize that every fraction is a single quantity with a unique place on the number line. Fractions are modeled using rectangular area models, circles, and other shapes, as well as length models. Improper fractions (we know there’s nothing “improper” about them!) and mixed numbers are also introduced. Fair sharing and division of whole numbers is also reviewed.

Strand Lessons

Division

Fair sharing, Dividing Length

Unit fractions

Dividing the whole, Circles, Shapes, Length and Outside the whole

Non-unit fractions

Part-whole, Improper fractions, Mixed numbers, Outside the whole, Fractions and division

The number line

Distance from zero, Fractions on the number line and Mixed numbers on the number line

Equivalence & Comparison, Adding & Subtracting
Standards Alignment: Grades 3-5  (Primarily Grade 4)

In these 17 lessons, students first explore when fractions are greater, less than, or equivalent to other fractions. A variety of comparison techniques are also introduced (e.g., rounding, benchmarks, etc.), as well as simplification. They continue with addition and subtraction of fractions and mixed numbers with common denominators. Once generating equivalent fractions with common denominators is established, students then compare, add, and subtraction fractions with different denominators.

Strand Lessons

Intro to Equivalence and Comparison

Comparing unit fractions, Whole numbers are fractions, Intro to equivalence, Comparing when numerators or denominators are the same, Rounding fractions, Comparing with benchmarks

Adding and subtracting with the same denominator

Adding with the same denominator, Subtracting with the same denominator, Adding and subtracting mixed numbers, Regrouping numbers

Equivalence and comparison algorithms

Finding equivalent fractions, Simplifying fractions, Converting mixed numbers, Comparing any fractions

Adding and subtracting algorithms

Add and subtract when denominators are multiples, Add and subtract any fractions, Add and subtract any mixed numbers

Multiplying & Dividing
Standards Alignment: Grade 4-6 (Primarily Grade 5)

The final 19 lessons deep-dive into multiplying and dividing fractions. Students explore multiplication using rectangular area models, as repeated addition (a whole number times a fraction), and as a fractional operator (a fraction times a whole number or fraction). Multiplicative commutativity is established, and used as a strategy for more efficient multiplication. Both partitive and quotitive division are explored. Quotitive division utilizes a manipulative where one fraction is duplicated inside of another with area models, while partitive division is used to intuitively arrive at the algorithm for division (“flip the divisor and multiply”).

Strand Lessons

Multiplying fractions and wholes

Multiplying fractions by whole numbers, Multiplying unit fractions by whole numbers, Multiplying non-unit fractions by whole numbers, Fractions of different wholes, Area of a rectangle with a fractional side length, Multiplicative commutativity

Multiplying fractions by fractions

Multiplying unit fractions, Multiplying any fractions, Rule for multiplying fractions, Multiplying mixed numbers, Multiplying by 1, Multiplying gives smaller or larger values

Dividing fractions

Partitive and quotitive division, Dividing fractions by whole numbers, Dividing whole numbers by unit fractions, Dividing with a common denominator, Dividing any fractions (quotitive), Dividing by unit fractions (partitive), Dividing any fractions (partitive)

## Pedagogical approach

Amplify Fractions has been designed using some of the most foundational and research-based pedagogical strategies. Amplify Fractions includes unprecedented personalized feedback to each student and how they’re thinking about the math and story-driven instruction that keeps students engaged and motivated. The scope and sequence covers everything fractions, tied to learning progressions of conceptual understanding as well as standards.

Get full details on how these strategies are reflected in Amplify Fractions, along with the research behind them from one of the creators of Amplify Fractions, Zach Wissner-Gross Ph.D.

You can also check out our white paper: Teaching Fractions through Adaptive Storytelling. In this white paper, we also detail the success of classrooms involved in Amplify Fractions pilots. You can read the story of one classroom’s success here.

This document contains the most important things you need to know about Amplify Fractions (including research, success stories, etc.) when you are sharing the program or recommending or justifying an Amplify Fractions purchase to your school or district.

## Standards alignment

Amplify Fractions lessons are aligned to educational standards, including the Common Core Math Standards, as well as other state standards. Along with our interactive lessons being aligned to standards, there are unlimited practice problems that are designed to help students with each required standard.

This is how lessons and practice align to the Common Core State Standard for Mathematics.

Here are how lessons and practice align to all states’ standards.

State Standards

Alabama

Alabama Course of Study – Mathematics

Arizona

Arizona Mathematics Standards

Arkansas

Arkansas Mathematics Standards

California

California Common Core Standards

Connecticut

Connecticut Core Standards

DC

Common Core State Standards for Mathematics

Delaware

Common Core State Standards for Mathematics

Florida

Mathematics Florida Standards

Georgia

Georgia Standards of Excellence – Mathematics

Hawaii

Common Core State Standards for Mathematics

Idaho

Idaho’s Content Standards – Mathematics

Illinois

Illinois Learning Standards for Mathematics

Indiana

Indiana Academic Standards -Mathematics

Iowa

Iowa CORE – Mathematics

Kansas

Kansas Mathematics Standards

Kentucky

Kentucky Academic Standards for Mathematics

Louisiana

Louisiana Student Standards for Mathematics

Maine

Maine Learning Results

Maryland

Maryland’s College- and Career-Ready Standards

Massachusetts

Massachusetts Standards for Mathematical Content

Michigan

Michigan K-12 Standards – Mathematics

Minnesota

Minnesota K-12 Academic Standards in Mathematics

Mississippi

Mississippi College- and Career-Readiness Standards for Mathematics

Missouri

Missouri Learning Standards

Montana

Montana Content Standards for Mathematics

New Hampshire

Common Core State Standards for Mathematics

New Jersey

New Jersey Student Learning Standards for Mathematics

New Mexico

New Mexico Common Core State Standards

New York

New York State Next Generations Learning Standards

North Carolina

North Carolina Standard Course of Study for K-8 Mathematics

North Dakota

North Dakota Mathematics Content Standards

Ohio

Ohio’s Learning Standards – Mathematics

Oklahoma

Oklahoma Academic Standards for Mathematics

Oregon

Oregon Common Core State Standards for Mathematics

Pennsylvania

Pennsylvania Core Standards in Mathematics

Rhode Island

Common Core State Standards for Mathematics

South Carolina

South Carolina College- and Career- Ready Standards for Mathematics

South Dakota

South Dakota State Standards for Mathematics

Tennessee

Tennessee Academic Standards for Mathematics

Texas

Texas Essential Knowledge and Skills (TEKS)

Utah

K-12 Utah Core Standards for Mathematics

Vermont

Common Core State Standards for Mathematics

Virginia

Mathematics Standards of Learning for Virginia Public Schools

Washington

Washington Mathematics K-12 Learning Standards

West Virginia

West Virginia’s College- and Career- Readiness Standards

Wisconsin

Wisconsin Standards for Mathematics

Wyoming

Wyoming Mathematics Content Standards

## Suggestions for using with your students

Each lesson takes about 15 minutes to complete, but varies based on students’ skill levels. Practice can take as long as students choose to participate.

There are many ways Amplify Fractions can be incorporated into your district, school or classroom curriculum. Here are a few of our recommendations:

• Independent Class Time: Devoting one class period every week to having students work independently on Amplify Fractions. While students are working independently on devices, teachers can work with small groups who need extra support with fractions or other topics.
• Classroom Rotation Centers: Using Amplify Fractions in one of the rotation centers in your classroom, so students can work independently.
• Review: Using Amplify Fractions both inside and outside the classroom (at home, or in computer labs or media centers), so students can consistently practice their fractions skills, building a solid fractions foundation.
• Homework: Regularly assigning Amplify Fractions to students as homework. Because students move through the content at different paces, teachers may want to assign one strand per week and ask students to work on practice for the rest of the week after they complete a strand.
• Supplemental Classroom Instruction: Using a Smartboard or other projection device to display an interactive lesson in front of the whole class when introducing that skill, and then having the students go into the program to complete the lesson independently, along with the associated practice to reinforce the skill.
• After-School Programs: Using Amplify Fractions to reinforce previously presented concepts and allowing students to work on the content they need at their own pace.
• Summer School Programs: Using Amplify Fractions to reinforce previously presented concepts and allowing students to work on the content they need at their own pace.
• Summer Practice: Tasking students with completing the appropriate lessons and practice of Amplify Fractions as a review over the summer, so they don’t lose their fraction skills, and are also prepared to take on the next year’s math content.
• Flipped Classroom: Having students complete the interactive lesson of Amplify Fractions each night as homework, and then using class time to engage the whole class in rich discussions of the content around the lesson, complete the practice, and differentiate other instructional opportunities based on individual student needs.
• Core Replacement: Treating each set of Amplify Fractions as a 2–4 week mini-unit that can be inserted between units of core curriculum instruction.