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Lesson 2 34NYS COMMON CORE MATHEMATICS CURRICULUMLesson 2 Objective: Decompose and recompose shapes to compare areas. Related Topics: More Lesson Plans for the Common Core MathSuggested Lesson Structure
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How to fill out decompose shapes to compare

01
To fill out and decompose shapes to compare, follow these steps:
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Start by selecting the shapes you want to compare.
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Divide each shape into smaller, simpler shapes. For example, if you have a rectangle, you can decompose it into two triangles.
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Determine the area of each smaller shape. You can do this by using the appropriate formulas. For triangles, the formula is (base * height) / 2. For rectangles, it is (length * width).
05
Compare the areas of the decomposed shapes to find out which one is larger or smaller.
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If you want to compare the perimeters of the shapes as well, calculate the perimeter of each decomposed shape. The formula for the perimeter of a rectangle is 2 * (length + width), while for a triangle, it is the sum of the lengths of all three sides.
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Compare the perimeters of the shapes to determine which one is longer or shorter.
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Use the results of your comparisons to draw conclusions about the shapes you are studying.

Who needs decompose shapes to compare?

01
Decomposing shapes to compare can be useful for various individuals or professions including:
02
- Architects and designers who need to compare different design options.
03
- Students studying geometry or mathematics who want to understand the properties of shapes.
04
- Engineers who need to analyze and compare the structural integrity of different shapes.
05
- Artists who want to explore the visual impact and composition of different shapes.
06
- Anyone who is curious about shapes and wants to gain a deeper understanding of their characteristics and relationships.
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Decomposing shapes to compare involves breaking down complex geometric figures into simpler shapes to facilitate analysis, comparison, and understanding of their properties and dimensions.
Individuals or entities engaged in activities that involve geometric analysis or comparison for purposes such as education, architectural design, engineering, or research may be required to file decompose shapes to compare.
To fill out decompose shapes to compare, one should accurately identify the shapes involved, break them down into simpler components, record their dimensions, and provide a systematic comparison of their properties.
The purpose of decomposing shapes to compare is to simplify the analysis of geometric figures, enabling a clearer understanding of their similarities and differences, and informing design or construction decisions.
The information that must be reported includes the dimensions of the shapes, the types of shapes involved, any relevant calculations, and a summary of the comparison findings.
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