Lesson 6 Hierarchy of Quadrilaterals
Let’s explore the hierarchy of quadrilaterals.
Warm-up Notice and Wonder: Squares and Rhombuses
What do you notice? What do you wonder?
Activity 1 Shapes with Toothpicks
Build a square with your toothpicks. How do you know it is a square?
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?
Activity 2 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:
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.
Determine if you can make each given shape so that it contains these two sides. Explain your reasoning.