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Understanding angles (age 8+)

CONCEPTUAL
Mathematics›Geometry|Ages 8—9|ID: mt_Xt1cRqaBOW

Understand that shapes in different categories may share attributes defining a larger category; classify quadrilaterals (rhombuses, rectangles, squares) and draw examples of quadrilaterals not in those subcategories

Mastery Evidence

  • Explain that a square is a special rectangle and also a special rhombus
  • Sort shapes into a Venn diagram: quadrilaterals vs rectangles vs squares
  • Draw a quadrilateral that is not a rectangle, rhombus, or square

Assessment Prompt

“If you show [child] a square, a rectangle, and a rhombus, can they explain what makes them all quadrilaterals — and what makes each one different from the others?”

Prerequisites2

Show full prerequisite tree
  • 2-D shapes (age 6+) hard

    Identifying 2D shape properties is prerequisite to classifying by shared attributes

    • Angles in triangles (age 6+) soft

      Understanding defining attributes supports describing shape properties formally

      • 2-D shapes hard

        Distinguishing defining vs non-defining attributes requires knowing common 2-D shape names first

      • 3-D shapes (age 5+) hard

        Identifying defining attributes builds on informal analysis and comparison of shapes

        • 2-D shapes hard

          Analysing and comparing shapes requires being able to name them first

        • 3-D shapes hard

          Analysing 3-D shapes requires recognising and naming them

    • 2-D shapes hard

      Describing properties of 2-D shapes (sides, symmetry) requires knowing the shapes first

    • 3-D shapes (age 5+) hard

      Formal property description extends informal analysis of sides and vertices

      • 2-D shapes hard

        Analysing and comparing shapes requires being able to name them first

      • 3-D shapes hard

        Analysing 3-D shapes requires recognising and naming them

  • Angles in triangles (age 7+) hard

    Recognising shapes by attributes is prerequisite to quadrilateral hierarchy classification

    • Angles in triangles (age 6+) hard

      Drawing shapes by attributes extends understanding defining vs non-defining attributes

      • 2-D shapes hard

        Distinguishing defining vs non-defining attributes requires knowing common 2-D shape names first

      • 3-D shapes (age 5+) hard

        Identifying defining attributes builds on informal analysis and comparison of shapes

        • 2-D shapes hard

          Analysing and comparing shapes requires being able to name them first

        • 3-D shapes hard

          Analysing 3-D shapes requires recognising and naming them

    • 2-D shapes (age 6+) hard

      Identifying pentagons, hexagons, quadrilaterals extends knowing 2-D shape properties

      • Angles in triangles (age 6+) soft

        Understanding defining attributes supports describing shape properties formally

        • 2-D shapes hard

          Distinguishing defining vs non-defining attributes requires knowing common 2-D shape names first

        • 3-D shapes (age 5+) hard

          Identifying defining attributes builds on informal analysis and comparison of shapes

          • 2-D shapes hard

            Analysing and comparing shapes requires being able to name them first

          • 3-D shapes hard

            Analysing 3-D shapes requires recognising and naming them

      • 2-D shapes hard

        Describing properties of 2-D shapes (sides, symmetry) requires knowing the shapes first

      • 3-D shapes (age 5+) hard

        Formal property description extends informal analysis of sides and vertices

        • 2-D shapes hard

          Analysing and comparing shapes requires being able to name them first

        • 3-D shapes hard

          Analysing 3-D shapes requires recognising and naming them

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