COVERING GROUND [DAY 5]

AREA OF A TRIANGLE & PARALLELOGRAM

Investigate the area of a triangle and area of a parallelogram to generalize a formula for each.

Intentionality

Math Talk

Visual Math Talk Prompt #1

Visual Math Talk Prompt #2

Visual Math Talk Prompt #3

Visual Math Talk Prompt #4

Assessment

Resources & Downloads

Educator Discussion Area

Intentionality & Unit Overview

Length of Unit: 5 Days

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Students will demonstrate the concepts and skills that they have developed through these contexts and learning experiences.

Intentionality…

The purpose of this assessment is for students to demonstrate their understanding of the following big ideas. 

  • The area of a rectangle can be determined by multiplying the length of its base by the length of its height; 
  • The area of a rectangle is used to determine the area formulas for other polygons; 
  • Using “base” and “height” rather than “length” and “width” can support student understanding when determining the area formulas for triangles and all quadrilaterals; 
  • A parallelogram is any quadrilateral with two sets of parallel sides; 
  • A rectangle is a parallelogram; 
  • Any triangle can be doubled to create a parallelogram;
  • Congruent shapes have the same size and shape, but not necessarily the same orientation; 
  • Any parallelogram can be decomposed and recomposed to build a rectangle with the same area.

The independent assessment will allow students to demonstrate concepts and skills related to the following learning goals: 

  • I will calculate the area of a triangle;
  • I will calculate the area of parallelogram;
  • I will determine the dimensions of a triangle and a parallelogram when given the area; and,
  • I will demonstrate an understanding of the relationship between the area of a rectangle, and the area of both triangles and parallelograms. 

Students might write and/or model their task independently. Students can also be interviewed by their teacher. 

An alternative assessment opportunity should be offered if this tool will not successfully capture what the student knows, understands or can do. 

Math Talk

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Visual Math Talk Prompt #1

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Visual Math Talk Prompt #2

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Visual Math Talk Prompt #3

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Visual Math Talk Prompt #4

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Assessment

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Assessment: Area of a Triangles and Parallelograms

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Considerations to Promote Student Growth 

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Resources & Downloads

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Printable Consolidation Prompts

Educator Discussion Area

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