Hierarchy of Quadrilaterals

10 min

Narrative

The purpose of this Notice and Wonder is to consider examples of some of the shapes that students will build and study in this lesson, namely squares and rhombuses. The key attributes students may notice in the shapes are the side lengths and the angles.

Launch

  • Groups of 2
  • Display the image.
  • “What do you notice? What do you wonder?”
  • 1 minute: quiet think time
Teacher Instructions
  • “Discuss your thinking with your partner.”
  • 1 minute: partner discussion
  • Share and record responses.

Student Task

What do you notice? What do you wonder?

toothpicks forming 2 shapes. left, square. right, rhombus.

Sample Response

Students may notice:
  • There are 2 shapes made out of toothpicks.
  • The shape on the left is a square.
  • The angles are different sizes.
  • They are both made from 4 toothpicks.
Students may wonder:
  • Are they the same shape?
  • Can you make the shape on the right by squishing the shape on the left?
  • What other polygons can be made with 4 toothpicks?
  • What polygons can be made if we combine the toothpicks?
Activity Synthesis (Teacher Notes)
  • “How are these shapes the same? How are they different?” (They have the same side lengths, but the angle measurements are different. The square or the one on the left has all 90 degree angles, but the shape on the right does not have any 90 degree angles.)
  • “What names can we use to describe each of the shapes?” (square, rectangle, rhombus, or parallelogram for the one on the left, and rhombus or parallelogram for the one on the right)
Standards
Building Toward
  • 5.G.3·Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. <em>For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.</em>
  • 5.G.B.3·Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. <span>For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.</span>

15 min

20 min