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Interactive
CK-12 Foundation

Area and Volume of Similar Solids: Similar Solids

For Students 6th - 12th Standards
Five questions make up an interactive designed to boosts knowledge of area and volume of solid figures. Question types include multiple-choice, true or false, and fill-in-the-blank. A scale model changes measurement to provide a visual...
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Assessment
EngageNY

Grade 5 Math Module 1: End-of-Module Assessment

For Students 5th Standards
The last installment of the 18-part Grade 5 Math Module 1 is an end-of-module assessment. Scholars answer questions that require explaining the connection between powers of 10 and place value, rewriting decimals in different forms,...
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Lesson Plan
EngageNY

Grade 5 Math Module 1, Topic E, Lesson 11

For Teachers 5th Standards
Let your understanding of multiplying decimals flourish and multiply. After briefly reviewing place value concepts and how to add and subtract decimals, scholars learn to multiply a decimal fraction (like 0.6) by a whole number. They use...
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Unit Plan
New York City Department of Education

Chris’ Garden Dilemma

For Teachers 2nd - 4th Standards
Make the connections between area, tiling, and multiplication. A performance task and associated unit presents the concept of area and makes the connection to multiplication. Pupils work through three major sections of instruction that...
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Interactive
PHET

Area Model Decimals

For Students 5th Standards
Area works with decimals too. Pupils use the interactive to model multiplication of two decimals using an area model. They see how the decomposed components of the factors obtain partial products and then the complete product. Using area...
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Interactive
PHET

Area Model Algebra

For Students 3rd - 8th Standards
Expand the pupils knowledge of using area models to algebra. The interactive allows learners to use the same procedure of getting partial products when multiplying multi-digit numbers to multiplying polynomials. Scholars see how the...
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Interactive
PHET

Area Model Introduction

For Students 2nd - 4th Standards
Provide two views of multiplication. The introduction to an area model application has two modes. One mode shows the area of simple multiplication up to 12 by 12. The second mode shows how area models can be partitioned leading to the...
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Interactive
PHET

Area Builder

For Students 3rd - 6th Standards
All that matters is the tiles. Pupils use the interactive to investigate the relationship between area and perimeter using tiles. The interactive has an explore and a game mode to accommodate different steps in learning. The game mode...
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Assessment
Illustrative Mathematics

Karl's Garden

For Students 4th Standards
Whose garden is bigger? Assess your class with the area task of finding out if Karl or Makenna's garden is bigger in area.
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Interactive
CK-12 Foundation

Factorization of Quadratic Expressions: Algebra Tiles

For Students 8th - 10th Standards
What does it mean to factor the difference of two squares? The interactive presents an area model of the difference of two squares. Pupils rearrange the model to create a rectangular area. The learners determine the length and width...
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Assessment
EngageNY

Mid-Module Assessment Task: Grade 6 Math Module 2

For Students 6th Standards
Make sure scholars know all about fractions and decimals — not just a fraction of the information. The 12th installment of a 21-part series is a mid-module assessment. Learners solve problems in the context of a birthday party and a...
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Lesson Plan
EngageNY

Interpreting and Computing Division of a Fraction by a Fraction—More Models II

For Teachers 6th Standards
No more inverting and multiplying to divide fractions. Applying concepts of measurement division from the previous lesson, pupils consider partitive division using fraction bars and number lines. They first convert fractions to like...
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Lesson Plan
EngageNY

Interpreting and Computing Division of a Fraction by a Fraction—More Models

For Teachers 6th Standards
Use a unit approach in developing a fraction division strategy. The teacher leads a discussion on division containing units, resulting in a connection between the units and like denominators. Pupils develop a rule in dividing fractions...
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Lesson Plan
EngageNY

Interpreting Division of a Fraction by a Whole Number—Visual Models

For Teachers 6th Standards
Divide fractions just like a model does. Pupils visualize the division of a fraction by a whole number by creating models. Scholars make the connection between dividing by a whole number and multiplication before practicing the skill...
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Activity
Noyce Foundation

Part and Whole

For Students K - 7th Standards
Now you'll never have trouble cutting a cake evenly again. Here is a set of five problems all about partitioning shapes into a given number of pieces and identifying the fractional amount of each piece. As learners progress through the...
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Activity
Noyce Foundation

Fractured Numbers

For Students K - 12th Standards
Don't use use a fraction of the resource — use it all! Scholars attempt a set of five problem-of-the-month challenges on fractions. Levels A and B focus on creating fractions and equivalent fractions, while Levels C, D, and E touch on...
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Lesson Plan
1
1
West Contra Costa Unified School District

Factoring Quadratic Expressions

For Teachers 8th - 10th Standards
Factor in different strategies in a lesson for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they can...
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Lesson Plan
Mathematics Assessment Project

Representing the Laws of Arithmetic

For Teachers 6th Standards
Sixth graders connect numerical expressions to geometric area. They first complete an assessment task requiring them to identify area models for numerical expressions. Learners then participate in an activity to match area models to...
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Lesson Plan
EngageNY

The Division of Polynomials

For Students 10th - 12th Standards
Build a true understanding of division of polynomials. Learners use their knowledge of multiplying polynomials to create an algorithm to divide polynomials. The area model of multiplication becomes the reverse tabular method of division.
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Lesson Plan
EngageNY

The Multiplication of Polynomials

For Students 10th - 12th Standards
If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property. 
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Handout
1
1
West Contra Costa Unified School District

Multiplying Numbers

For Students 3rd - 6th Standards
Provide families with the guidance needed to support their child's proficiency in multiplying numbers. Three pages offer detailed descriptions and labeled examples.  
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Lesson Plan
Education Development Center

Area Model Factoring

For Teachers 6th - 9th Standards
 Introduce learners to what factoring represents and it's relationship to a square with a resource about factoring and the method of area models. The questions are scaffolded to begin with introductory questions and eventually have...
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Lesson Plan
3
3
Kentucky Department of Education

Multiplication Grade 3 Formative Assessment Lesson

For Teachers 3rd Standards
Guide multiplication lesson plan instruction with a formative assessment. Mathematicians are given two multiplication problems to solve and represent using the area model, equal groups, repeated addition, and word problems. Following the...
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Lesson Plan
EngageNY

Proving the Area of a Disk

For Teachers 9th - 10th Standards
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference formula.