Unit 7 - Lesson 6 - Grade 5: 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?

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.