5th Grade Math Lesson

Shape Architects: Classifying 2D Figures in a Hierarchy

Shared by A STEM Educator

5th GradeThinking ClassroomCCSS.MATH.CONTENT.5.G.B.3, CCSS.MATH.CONTENT.5.G.B.445 min

Learning Objective

Students will classify two-dimensional figures in a hierarchy based on their properties, recognizing that attributes of a broader category belong to all shapes within that category (CCSS.MATH.CONTENT.5.G.B.3, CCSS.MATH.CONTENT.5.G.B.4).

Lesson Overview

Students discover how quadrilaterals nest inside one another by exploring shared properties, building from naming basic shapes to constructing a full Euler diagram that shows how squares, rectangles, rhombuses, and parallelograms relate. Real-world architecture and graphic design framing grounds each task.

Materials

Vertical whiteboards or large chart paper
Dry-erase markers (multiple colors)
Pencils and blank paper
Random grouping tool (e.g., card draw, counting off)

Scaffolded Task Progression

1Task 1

An architect is labeling shapes in a floor plan. On your whiteboard, draw and label FOUR different quadrilaterals. For each one, write:
(a) how many pairs of parallel sides it has, and(b) whether it has any right angles. Use shapes you might actually see in a building: a door frame, a tilted window pane, a diamond tile, a slanted wall section.

2Task 2

A graphic designer has a shape rule: 'A parallelogram has exactly 2 pairs of parallel sides.' Look at these four shapes your group drew in Task 1. Circle every shape that qualifies as a parallelogram under this rule. Be ready to explain any shape you did NOT circle and why it misses the rule.

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