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Unit 7 - Lesson 6 - Grade 5: Illustrative Mathematics

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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)

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Shapes with Toothpicks

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Three Quadrilaterals

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Cool Down: Rhombuses as Parallelograms
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Pitanje 1
1.

What do you notice? What do you wonder?

Pitanje 2
2.

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

Pitanje 3
3.

Use the same four toothpicks to build this shape.

What stayed the same? What changed?

Pitanje 4
4.

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

Pitanje 5
5.

Use the same six toothpicks to build this shape.

What stayed the same? What changed?

Pitanje 6
6.

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

Pitanje 7
7.

For each of your quadrilaterals determine if it is a:

  • square

  • rhombus

  • rectangle

  • parallelogram

Explain or show your reasoning.

Pitanje 8
8.

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

Pitanje 9
9.

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

Pitanje 10
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.

Pitanje 11
11.

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