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Coordinates (age 8+)

REPRESENTATIONAL
Mathematics›Geometry|Ages 8—9|ID: mt_i5_HnoFOYw

Plot specified points on a coordinate grid and draw sides to complete a given polygon

Mastery Evidence

  • Plot points (1,1), (1,4), (5,4), (5,1) and join to make a rectangle
  • Given three vertices of a square, plot the fourth vertex
  • Complete a triangle by plotting the third vertex at given coordinates and drawing sides

Assessment Prompt

“If [child] is given three coordinate pairs on a grid, can they plot each point and then connect the dots to draw the correct triangle or rectangle?”

Prerequisites2

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  • First Quadrant Coordinates hard

    Must read/understand coordinates before plotting points

    • Position, direction, and movement soft

      Position/direction vocabulary supports understanding coordinate grid

      • Positional Language hard

        Position/direction vocabulary with right angles extends basic positional language

      • Turns & Directions hard

        Right-angle turns (clockwise/anti-clockwise) build directly on whole/half/quarter turns from Year 1

        • What Is a Half? soft

          Understanding half and quarter turns benefits from the concept of halves and quarters

          • Division as equal sharing hard

            Finding a half requires equal sharing into 2 groups — a division concept

            • Subtraction as taking away or separating hard

              Division as equal sharing/grouping requires understanding subtraction as taking away/separating

              • How Many in Total? hard

                Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)

                • One-to-one counting hard

                  Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'

        • Positional Language hard

          Describing movement and turns builds on positional language

  • Understanding angles (age 8+) soft

    Shape classification supports completing polygons on grid

    • 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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