1. Transformations Grade 5
Describe the effects of rotations, reflections, translations and enlargements (using column vector notation for translations)
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2. Lesson Plan Lesson Overview Progression of Learning
Objective(s)
Describe the effects of rotations, reflections, translations and enlargements (using column vector notation for translations)
Grade 5
Prior Knowledge
Equation of lines
Use of tracing paper
Duration
Lesson covers all 4 transformations. With pace and sticking only to the questions given in the PowerPoint can be covered with 70 minutes.
Resources
Print slides: 4, 9, 12, 14, 17, 21, 29, 33, 36
Equipment
Tracing paper
Ruler
Progression of Learning
What are the students learning?
How are the students learning? (Activities & Differentiation)
Review of the 4 different transformations
Give students slide 4 printed. To be completely independently. What can students remember about how to describe the 4 types of transformations? Key vocabulary to be discussed. Do not go into too much detail using slides 5 to 8 to explain each transformation as there will be an opportunity to go through each type in more detail with more student practice. 15
How to do and describe a rotation
Give students slide 9 printed. Students to use tracing paper – pencil on centre of rotation. Discuss possible options 90 clockwise / anticlockwise and aspects = 3 marks. 10
How to do and describe a translation
Give students slide 12 printed. Explain how to read and write a vector. Encourage to select a point on original shape and then draw a path to the same point on the new shape. Also important to read the direction. 2 aspects = 2 marks.
How to do and describe a reflection
Give students slide 17 printed. Easy provided students know basic lines.
How to do and describe a enlargement (positive integer scale factor)
Give students slide 21 printed. Variations here with or without a centre of enlargement. Describing often helpful to have a ruler.
How to do and describe a enlargement (positive fractional scale factor)
Quick recap – how to find a fraction of an amount – will be needed when applying the scale factor to the lengths of shapes. Teacher led using slide 27. Give students slide 29 printed. Show students how scale factors are calculated. Discuss that enlargement does not necessarily mean that the shape gets larger using slide 28, 30, 31. Students to complete independently. Draw on solutions using interactive whiteboard.
Combined transformation problems (extension)
Give students slide 33 printed. Students to complete independently using notes created from above.
Transformation question in OCR exam questions (from specimen papers)
Give students slide 36. This includes 4 exam questions related to objective. Students need to use notes from lesson to answer the questions. Relate to mark scheme to show how the marks are allocated.
Next Steps
Negative and fractional scale factors for enlargement
Assessment
PLC/Reformed Specification/Target 5/Geometry and Measures/Transformations

3. Key Vocabulary
Reflection Column Vector Translation Rotation Enlargement Point of enlargement Mirror line Clockwise/Anti clockwise

4. T to W
A to B 1. 2. 3. 1. 2. 1. 2.
A to B
P to Q
Student Only 1. 2. 3.
Student Sheet 1

5. Rotation A to B 1. Rotation 2. 90° Clockwise/anticlockwise or 180°
3. Centre (….,….)
A to B
1. Rotation
2. 180°
3. Centre (3,3)
CARD Trick
Centre
Angle
Rotation
Direction

6. Reflection T to W 1. Reflection 2. Line name 1. Reflection
2. x axis or y=0

7. Translation
1. Translation
2. Vector
A to B
1. Translation 2.

8. Enlargement P to Q 1. Enlargement 2. Scale Factor 3. Centre (….,….)

9. Rotation Practice Student Sheet 2 Rotate with centre (0,0)
90° clockwise
90° anti clockwise
180°
Rotate with centre (0,0)
Rotate 90° clockwise centre (0,1)
Rotate 180° centre (1,1)
Rotate different centre
Student Sheet 2

10. Rotation Solutions 90° clockwise 90° anti clockwise 180°
Rotate with centre (0,0)
180°
Demo visualiser

11. Rotation Solutions Rotate 90° clockwise centre (0,1)
Rotate different centre
Rotate 90° clockwise centre (0,1)
Rotate 180° centre (1,1)
Visualiser

12. Rotation Describing Student Sheet 3
Describe single transformation A onto B
1. Rotation
2. 90° Clockwise/anticlockwise or 180°
3. Centre (….,….) 1. 2. 3. 1. 2. 3.
Student only
Describe single transformation R onto Q
Student Sheet 3

13. Rotation Describing Solutions
Describe single transformation A onto B
1. Rotation
2. 90° Clockwise/anticlockwise or 180°
3. Centre (….,….)
1. Rotation
2. 180°
3. Centre (3, 3)
Give answers
1. Rotation
2. 90° Clockwise
3. Centre (0, 0)
Describe single transformation R onto Q

14. Translation Do
Describe
A to B
A to B
B to C
P to Q
Student Sheet 4

15. Translation Solutions
Tracing paper - visualiser

16. Translation Solutions
A to B
A to B
B to C
P to Q

17. Describe Transformation
Reflection
Reflect in line y = 5
Reflect in x axis
Reflect in line y = x
Reflect in y axis
Describe Transformation 1. 2.
Student Sheet 5

18. Reflection Solutions
Reflect in x axis
Reflect in y axis
Guide quick

19. Reflection Solutions
Reflect in line y = 5
Reflect in line y = x

20. Describe Transformation
Reflection Solutions
Describe Transformation
1. Reflection
2. y = x line

21. Describe Transformation
Enlargement
Enlarge scale factor 2, centre A (1,1)
Enlarge
scale factor 2
Enlarge scale factor 3, centre (1,2)
Describe Transformation 1. 2. 3. 1. 2. 3.
Student Sheet 6

22. Enlargement Solutions
Enlarge scale factor 2

23. Enlarge scale factor 3, centre (1,2)
Enlargement Solutions
Enlarge scale factor 3, centre (1,2)
Visualier
Guide

24. Enlarge scale factor 2, centre A (1,1)
Enlargement Solutions
Enlarge scale factor 2, centre A (1,1)
1 min head start

25. Describe Transformation
Enlargement Solutions
Describe Transformation 4
1. Enlargement
2. Scale Factor 4
3. Centre (1,1)
Guide vis 8 1 2

26. Describe Transformation
Enlargement Solutions
Describe Transformation 5
1. Enlargement
2. Scale factor 2.5
3. Centre (0, 0)
1 min head start 2

27. Starter
– finding fractions of amounts
1 4 of 4
1 4 of 8
1 2 of 4
1 3 of 9
1 2 of 6
1 3 of 3 2 3 1 3 1 2

28. Find by measuring the length or counting the squares
Fractional Scale Factor
A scale factor is the number of times bigger an image is than the object. 5
Find by measuring the length or counting the squares 2
5cm÷2cm
Or 5 2
Or 2.5
1 min head start

29. Fractional Scale Factor
The scale factor is 2/3, draw the image:
Student Sheet 7

30. Fractional Scale Factor
On a grid, you count squares:
The scale factor here
Is or 1.5.
2 squares
3 squares

31. Fractional Scale Factor
If you have the object and the scale factor you can draw the image:
The scale factor is 2/3, draw the image:
The base is 6 squares, 2/3 of this is 4.
The height is 3 squares, 2/3 of this is 2.

32. Practice – Doing Enlargements
Student Sheet 3

33. Practice Student Sheet 8 A has been reflected in the y-axis to give B.
A is rotated 90o anticlockwise about (0,0) to give C.
Describe the single transformation that maps C back to B.
Student Sheet 8

34. A to B – 180 degree rotation about (2,5)
B to C – Reflection in the line x = 3
C to D – Translation 2 −9
D to E – 90 degrees anticlockwise about (6, -4)
E to F – Translation −16 6
F to G – Enlargement SF 3, centre of enlargement (-10, 8)

35. A has been reflected in the y-axis to give B.
A is rotated 90o anticlockwise about (0,0) to give C.
Describe the single transformation that maps C back to B.
Reflect in y=-x
Reflection in line y = - x
B1 reflection B1 in y = -x oe

36. Exam Questions – Specimen Papers
Student Sheet 9

37. Exam Questions – Specimen Papers

38. Exam Questions – Specimen Papers

39. Exam Questions – Specimen Papers

40. Exam Questions – Specimen Papers