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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Overlapping Rectangles

For Teachers 1st - 2nd Standards
The purpose of this task is to give students an opportunity to compose and decompose polygons to make rectangles. The students will be shown a picture and are asked to count how many rectangles they see. Explanations and examples are...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Make Your Own Puzzle

For Teachers 1st - 2nd Standards
Students will cut a square into four pieces, and then will put those pieces in an envelope for another student to put together. The purpose of this task is to give students a hands-on experience with composing and decomposing geometric...
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Lesson Plan
Better Lesson

Better Lesson: Area & the Distributive Property

For Teachers 3rd Standards
Third graders develop spatial reasoning about large areas through composing and decomposing rectangles to determine area.
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Interactive
Other

The Math Learning Center: Pattern Shapes

For Students 4th - 8th Standards
Students use pattern shapes to explore geometry and fractions, creating their own designs, or filling in outlines. As they work with the shapes students explore geometric relationships, think about angles, investigate symmetry, and...
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Lesson Plan
Better Lesson

Better Lesson: Decomposing and Composing Mixed Fractions

For Teachers 3rd - 4th Standards
Given a set fraction amount students will be able to decompose into a sum of fractions in more than one way.
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Unit Plan
Khan Academy

Khan Academy: Decompose Figures to Find Volume

For Students 4th - 6th
Find the volume of irregular 3D figures by dividing the figures into rectangular prisms and finding the volume of each part. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
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Lesson Plan
Better Lesson

Better Lesson: Fun With Four: Decomposing to Known Factors of 1, 2, and 5

For Teachers 3rd Standards
Third graders act as problem solvers to take an unknown fact and solve it by breaking it down into pieces that are known.
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Lesson Plan
Better Lesson

Better Lesson: Filling Shadows With More and Less

For Teachers 1st Standards
First graders use their understanding of composing and decomposing shapes to cover a given area. Today's lesson is bringing together many of the geometric skills from previous lessons.
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Unit Plan
Khan Academy

Khan Academy: Decompose Angles

For Students 3rd - 5th Standards
Find an angle's measure when given the measures of its parts. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Unknown Type
Illustrative Mathematics

Illustrative Mathematics: 3.md Three Hidden Rectangles

For Teachers 2nd - 4th Standards
The purpose of this task is for students to decompose a figure into rectangles and then find the total area by adding the area of all of its smaller, non-overlapping rectangles. Aligns with 3.MD.C.7.d.
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Unit Plan
Other

Hub Pages: Biotic Factors of Ecosystem: Producers, Consumers and Decomposers

For Students 6th - 8th
An ecosystem is composed of biotic factors of a community of living organisms interacting with one another which we can see in food chains/webs. These diverse organisms stay together because of the need of food. Population is referred to...
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Unit Plan
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Khan Academy

Khan Academy: Area Challenge

For Students 5th - 7th Standards
Practice solving problems involving triangles, parallelograms, and composite figures. Exercises include decimals, fractions, and word problems. Area of circles is not included. Students receive immediate feedback and have the opportunity...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 2.nbt Three Composing/decomposing Problems

For Teachers 2nd
In this lesson plan students use base ten blocks to explore place value.
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Activity
NumberNut

Number Nut: Subtraction: Borrowing

For Students 3rd - 5th
Explains the concept of 'borrowing' in subtraction, also known as regrouping or decomposing numbers.
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Lesson Plan
ArtsNow

Arts Now Learning: Module K: Shapes

For Teachers K Standards
In this series of STEAM activities, students will discover the concepts of geometry through shape exploration and the creation of choreographic sequences. Another activity in this module will allow students to identify shapes by applying...
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Lesson Plan
ArtsNow

Arts Now Learning: Moving Shapes [Pdf]

For Teachers K - 1st Standards
These activities will allow learners to discover the concepts of geometry through shape exploration and the creation of choreographic sequences.
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Lesson Plan
ArtsNow

Arts Now Learning: Self Portraits With the Touch of a Finger [Pdf]

For Teachers K - 1st
In this lesson, students will explore self-portraiture by looking at classical portrait paintings, such as Diego Velazquez's La Infanta Margarita or Raphael's Portrait of Baldassare Castiglione. A close look at these works reveals...
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Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Shape Cutter

For Students Pre-K - 1st Standards
This computer tool allows students to compose and decompose shapes by making cuts and rearranging the pieces. The tool has an exploration section for learning exercises.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: k.oa What's Missing?

For Teachers K - 1st
Students will practice composing and decomposing numbers with this quick game. Show the student 6 counters. Ask the student to close his/her eyes. Hide some of the counters under a sheet of heavy paper. When the student opens his/her...
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Unknown Type
NumberNut

Number Nut: Subtraction: Two Digit Subtraction With Borrowing

For Students Pre-K - 1st Standards
A quiz for practicing subtraction with two-digit numbers where there is regrouping.
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Unknown Type
NumberNut

Number Nut: Subtraction: Three Digit Subtraction With Borrowing

For Students 3rd - 5th
A quiz for practicing subtraction with three-digit numbers where there is regrouping.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Grandfather Tang's Story

For Teachers K - 1st Standards
The purpose of this task is for students to compose two-dimensional shapes to create a composite shape using tangram pieces. The teacher will read "Grandfather Tang's Story" and the students will use tangrams to compose the animals from...
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Unit Plan
Sophia Learning

Sophia:multiplying With Decomposition

For Students 6th - 8th
The video lesson examines multiplying using decomposition. Detailed examples investigate the multiplication technique.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: What Makes a Teen Number?

For Teachers K - 1st Standards
Learners will learn about teen numbers by understanding the base-ten structure of teen numbers. They will fill-in a 10-frame and a blank equation as they complete the activity. Worksheet included.