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
What do you notice? What do you wonder?
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?
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.