Mat: Classifying Quadrilaterals
Grade Guidance: Grades 3–5; increase the depth of classification with readiness.
Focus: Compare quadrilaterals using shared and different attributes.
Try the Activity:
- Examine the shapes on the mat. Identify the shared attribute: every quadrilateral has four straight sides forming a closed figure.
- Compare two figures using side lengths, parallel sides, and right angles. Use printed markings rather than appearance alone.
- Explain why squares are also rectangles: they have four right angles. A square additionally has four equal-length sides.
- Record one similarity and one difference between two selected shapes.
Worked Example: A square and a nonsquare rectangle both have four right angles; the nonsquare rectangle does not have all four side lengths equal.
Quick Check: Does rotating a rectangle change its category? No; its attributes remain the same.
Adapt: Use a vocabulary bank and point to attributes. Extend by classifying a square as a rectangle, rhombus, and parallelogram.
Reflect: Choose a classroom use and one question that will reveal student understanding. Invite students to explain the movement and record an equation, diagram, or sentence.
Classifying Quadrilaterals; paper and pencil; optional shape cards.