2.4 Rotation

• determine the properties of rotation in different situations
• rotate an object on a plane given the centre and angle of rotation
• determine the centre and angle of rotation given an object and its image
• determine the order of rotational symmetry of plane figures
• appreciate the application of rotation in real-life situations

“How is rotation applied in real-life situations?”

“Why is rotation useful in day to day life activities?”

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1. What a rotation is
   40 min · 1 practice tasks · quiz
   Name the centre, angle and direction of a rotation and find it in real life.
2. What a rotation keeps
   40 min · 1 practice tasks · quiz
   State the properties of a rotation: shape, size, distances from the centre and sense are kept.
3. Clockwise and anticlockwise
   40 min · 1 practice tasks · quiz
   Name a rotation fully using the centre, angle and direction.
4. Quarter, half and three-quarter turns
   40 min · 1 practice tasks · quiz
   Relate the named turns to 90, 180, 270 and 360 degrees and combine them.
5. A quarter turn clockwise
   40 min · 1 practice tasks · quiz
   Rotate points and shapes 90 degrees clockwise about the origin on a grid.
6. A quarter turn anticlockwise
   40 min · 1 practice tasks · quiz
   Rotate points and shapes 90 degrees anticlockwise about the origin on a grid.
7. The half turn
   40 min · 1 practice tasks · quiz
   Rotate points and shapes 180 degrees about the origin on a grid.
8. The three-quarter turn
   40 min · 1 practice tasks · quiz
   Rotate points and shapes 270 degrees about the origin and link it to a quarter turn.
9. The four rotation rules
   40 min · 1 practice tasks · quiz
   Collect the coordinate rules for 90, 180 and 270 degree rotations about the origin.
10. Turning about another point
    40 min · 1 practice tasks · quiz
    Rotate a point about a centre that is not the origin using a three-step method.
11. Constructing a rotation
    40 min · 1 practice tasks · quiz
    Construct the image of a shape under a rotation using a ruler, compasses and protractor.
12. Using tracing paper
    40 min · 1 practice tasks · quiz
    Use tracing paper to turn a shape about a centre and read the result.
13. Finding the centre of rotation
    40 min · 1 practice tasks · quiz
    Find the centre of a rotation from an object and its image.
14. Finding the angle of rotation
    40 min · 1 practice tasks · quiz
    Find the angle and direction of a rotation from an object and its image.
15. Centre and angle together
    40 min · 1 practice tasks · quiz
    Find both the centre and the angle of a rotation from a pair of shapes.
16. Rotational symmetry and order
    40 min · 1 practice tasks · quiz
    Define the order of rotational symmetry and find it by turning a shape.
17. Orders of common shapes
    40 min · 1 practice tasks · quiz
    Find the order of rotational symmetry of triangles, regular polygons and other figures.
18. Rotational and line symmetry
    40 min · 1 practice tasks · quiz
    Compare rotational symmetry with line symmetry and find shapes that have only one kind.
19. Turns on a clock face
    40 min · 1 practice tasks · quiz
    Find the angle turned by clock hands and the angle between them.
20. Wheels, fans and gears
    40 min · 1 practice tasks · quiz
    Describe the rotation of wheels, fan blades and meshing gears.
21. Rotation in daily life
    40 min · 1 practice tasks · quiz
    Recognise rotary motion and rotational symmetry in everyday objects and designs.
22. Rotation: mixed review
    40 min · 1 practice tasks · quiz
    Bring together coordinate rules, centre and angle, and rotational symmetry in mixed questions.