Mathematics/Question 3 skill map/Transform Shapes

QUESTION 3 · Transformations

Transform Shapes

Draw, describe and reverse a mapping on a coordinate grid.

DISCOVER · PREDICT BEFORE YOU CHANGE

Make the relationship visible

-8-8-6-6-4-4-2-222446688xyABCA′B′C′

Blue: object ABC · Orange: image A′B′C′ · Grid spacing: 1 unit

Open coordinate drawing sheet

A′ (7, 1)
B′ (5, 1)
C′ (7, 3)

Before changing a parameter, predict one image point. Click a grid point to read its snapped coordinates, or use the numeric controls.

CHOOSE AN INDIVIDUAL ACTION

Read grids and translate

Read coordinates and move every vertex by the same vector, then reverse the move.

6 stages48 mixed itemsSee exam connections

Check Your Skill Level

All 48 canonical questions for this skill, grouped by stage. Use this printable check to find where review is needed.

Download PDF Open PDF

YOUR SKILL LADDER

Read grids and translate

0/6 mastered
Before you start

Read x before y; add and subtract signed numbers.

Already secure with these actions? Open any stage directly.

SHORT TUTORIAL

  1. 1

    A translation adds the same horizontal and vertical displacement to every point.

  2. 2

    Read exactly what is stated. Separate guaranteed facts from appearance.

  3. 3

    Subtract object coordinates from image coordinates; every pair must give the same vector.

COACH · ANTICIPATE EACH DECISION

In point (-3, 2), which coordinate is horizontal?

Before revealing: which property or operation will you use?

    Watch for this: Negative x means left; negative y means down. Do not swap vector components.

    MIXED PRACTICE · 8 ITEMS

    Practise. Explain. Check.

    Show your working or construction on paper. State units where asked. For questions 7 and 8, explain your method. Numerical entries may be rounded to 2 decimal places. Later stages retrieve earlier methods. Answers and explanations stay separate.

    Download PDF Open PDF
    See answers & explanations
    1. -2

      Coordinates are written (x, y); x is horizontal.

    2. -1

      Coordinates are written (x, y); x is horizontal.

    3. 0

      Coordinates are written (x, y); x is horizontal.

    4. 1

      Coordinates are written (x, y); x is horizontal.

    5. 2

      Coordinates are written (x, y); x is horizontal.

    6. -3

      Coordinates are written (x, y); x is horizontal.

    7. -2

      Coordinates are written (x, y); x is horizontal.

    8. -1

      Coordinates are written (x, y); x is horizontal.

    Self-assess only after at least 7 of 8 independently, including both reasoning items. At stages 4–6, explain a method choice. Before calling the whole skill secure, solve two unseen variants including another context. Repeat after several days. These are teaching targets.

    Use this skill somewhere else

    Connect it to another action, then solve a fresh problem without a method cue.

    Reflect and infer a mirror line Rotate about a centre Describe and combine mappings

    Mastery choices are saved in this browser on this device. Numerical checks and reason choices are shown separately. Paper drawings and constructions need your own or your teacher’s review.