CCSS.Math.Content.5.G.B.4
The Standard
Classify two-dimensional figures in a hierarchy based on properties.
Common Core State Standards for Mathematics · Geometry
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify properties of two-dimensional shapes, including side lengths, angle types, and parallel or perpendicular sides. They use shared properties to place shapes into nested groups.
What Mastery Looks Like
- Students place shapes in all categories that fit and organize those categories from broad to specific. They justify each placement with accurate property statements.
Common Misconceptions
- Students often think a square cannot also be a rectangle or rhombus. They may sort by size or orientation instead of using sides, angles, and parallel lines.
How to Assess It
- Exit ticket: Place square, rectangle, rhombus, and parallelogram in a nested diagram. Explain why a square belongs in more than one group.
Lesson moves
Ways to Teach It
Give pairs nested hoops and shape cards to sort using equal sides, right angles, and parallel lines.
Ask students to write: Why is every square a rectangle, but not every rectangle a square?
Play Mystery Quadrilateral by reading property clues while students identify every category that matches.
Have students classify classroom objects, such as tiles, tabletops, and signs, then defend each choice with measured or observed properties.
Free download
Printable 5.G.B.4 Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.5.G.B.4, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetBefore This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.4.G.A.2
Classifying by parallel lines, perpendicular lines, and angle types supports using properties to place figures in nested categories.
- CCSS.Math.Content.5.G.B.3
Hierarchy classification depends on knowing that subcategories inherit the defining attributes of broader two-dimensional figure categories.
- CCSS.Math.Content.4.G.A.1
Recognizing angle types and parallel or perpendicular sides supports using properties to sort shapes into broader and narrower classes.
What This Unlocks
Mastery here sets students up for these next.
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