Unit 7 - Lesson 6 - Grade 5: Illustrative Mathematics

Last updated about 1 year ago

11 questions

Note from the author:

Instructions

Lesson: Hierarchy of Quadrilaterals

Cool Down: Rhombuses as Parallelograms

Unit 7 - Lesson 6 - Grade 5: Illustrative Mathematics

Last updated about 1 year ago

11 questions

Note from the author:

Grade 5 Unit 7
Lesson 6: Hierarchy of Quadrilaterals
CC BY 2021 Illustrative Mathematics

Instructions

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)

What do you notice? What do you wonder?

Shapes with Toothpicks

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

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

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

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

Three Quadrilaterals

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

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

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

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

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

Unit 7 - Lesson 6 - Grade 5: Illustrative Mathematics

Unit 7 - Lesson 6 - Grade 5: Illustrative Mathematics

Notice and Wonder: Squares and Rhombuses (Warm Up)

What do you notice? What do you wonder?

Shapes with Toothpicks

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

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

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

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

Three Quadrilaterals

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

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

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

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

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.

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

Notice and Wonder: Squares and Rhombuses (Warm Up)

What do you notice? What do you wonder?

Shapes with Toothpicks

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

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

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

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

Three Quadrilaterals

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

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

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

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

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.

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

Unit 7 - Lesson 6 - Grade 5: Illustrative Mathematics

Unit 7 - Lesson 6 - Grade 5: Illustrative Mathematics

Notice and Wonder: Squares and Rhombuses (Warm Up)

What do you notice? What do you wonder?

Shapes with Toothpicks

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

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

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

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

Three Quadrilaterals

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

For each of your quadrilaterals determine if it is a:squarerhombusrectangleparallelogramExplain or show your reasoning.

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

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

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.

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

Notice and Wonder: Squares and Rhombuses (Warm Up)

What do you notice? What do you wonder?

Shapes with Toothpicks

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

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

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

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

Three Quadrilaterals

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

For each of your quadrilaterals determine if it is a:squarerhombusrectangleparallelogramExplain or show your reasoning.

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

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

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.

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

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

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

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

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

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

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