Transformations Grade 5 Describe the effects of rotations, reflections, translations and enlargements (using column vector notation for translations) If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl.org.uk

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 180. 3 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

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

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

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

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

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

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

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

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

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

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

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

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

Translation Solutions Tracing paper - visualiser

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

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

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

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

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

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

Enlargement Solutions Enlarge scale factor 2

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

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

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

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

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

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

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

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

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.

Practice – Doing Enlargements Student Sheet 3

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

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)

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

Exam Questions – Specimen Papers Student Sheet 9

Exam Questions – Specimen Papers

Exam Questions – Specimen Papers

Exam Questions – Specimen Papers

Exam Questions – Specimen Papers