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Describing Movements

PROCEDURAL
Mathematics›Geometry|Ages 8—9|ID: mt_Uq5vYqboCR

Describe movements between positions as translations of a given unit to the left/right and up/down

Mastery Evidence

  • Describe moving from (2,3) to (5,3) as 3 units to the right
  • Translate a shape 4 units right and 2 units up and state the new coordinates
  • Predict where a point will be after a given translation

Assessment Prompt

“If a shape is at position (2, 3) on a grid and you tell [child] to move it four squares right and two squares up, can they work out its new position without drawing it first?”

Prerequisites2

Show full prerequisite tree
  • First Quadrant Coordinates hard

    Must understand coordinates before describing translations between positions

    • 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

  • Transformations on a grid hard

    Describing translations on a grid requires the grid-based transformation diagram representation

Unlocks1