Unit 7 - Lesson 6 - Grade 5: Illustrative Mathematics

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Last updated 3 months ago
11 Questions
Note from the author:
Grade 5 Unit 7
Lesson 6: Hierarchy of Quadrilaterals
CC BY 2021 Illustrative Mathematics
Grade 5 Unit 7
Lesson 6: Hierarchy of Quadrilaterals
CC BY 2021 Illustrative Mathematics
Lesson: Hierarchy of Quadrilaterals

Notice and Wonder: Squares and Rhombuses (Warm Up)

1.

What do you notice? What do you wonder?

Shapes with Toothpicks

2.

Build a rectangle with six toothpicks. How do you know it is a rectangle?

3.

Use the same four toothpicks to build this shape.
What stayed the same? What changed?

4.

Build a rectangle with six toothpicks. How do you know it is a rectangle?

5.

Use the same six toothpicks to build this shape.
What stayed the same? What changed?

Three Quadrilaterals

6.

Draw 3 different quadrilaterals on the grid, making sure at least one of them is a parallelogram.

7.

For each of your quadrilaterals determine if it is a:
  • square
  • rhombus
  • rectangle
  • parallelogram
Explain or show your reasoning.


8.

Draw a rhombus that is not a square. Explain or show how you know it is a rhombus but not a square.

9.

Draw a rhombus that is a square. Explain or show how you know it is a rhombus and a square.

10.

Diego says that it is impossible to draw a square that is not a rhombus. Do you agree with him? Explain or show your reasoning.

Cool Down: Rhombuses as Parallelograms
11.

Explain why a rhombus is always a parallelogram. Use the grid if it is helpful.