Enlagement – Positive – Complete Lesson Preview the presentation to check ability-level, AFL questions, and the animations during demonstrations. It is recommended to delete slides/sections not needed for your class.

Starter A task at the beginning of the lesson that reviews a skill required for the learning. Knowledge Check Questions to assess students’ current understanding and to consequently show progress. Real-Life Example A ‘hook’ to raise interest and provide a concrete example. Demonstration Slides for a teacher to lead students – didactically or via questioning – through a mathematical method. AFL Questions Assessment For Learning Questions, used to assess students’ competency for independent tasks/activities. Plenary An opportunity for students to prove/evaluate their learning.

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Label and join these points STARTER Label and join these points To create a star: (-5, 1), (-3, 1), (-6, 4), (-2,4), (-4, 5) Reflect the shape in 𝑥=−1 Label the new shape S’. Reflect S’ in 𝑦 = 0.5 Label the new shape S’’

Label and join these points STARTER 𝑥=−1 Label and join these points To create a star: (-5, 1), (-3, 1), (-6, 4), (-2,4), (-4, 5) Reflect the shape in 𝑥=−1 Label the new shape S’. Reflect S’ in 𝑦 = 0.5 Label the new shape S’’ S’ 𝑦=0.5 S’’

NEALREG ENLARGE SZEI SIZE RTARFMOSN TRANSFORM APESH SHAPE CESLA FCORAT SCALE FACTOR EXRTVE VERTEX

Positive Enlargements 14 June 2019 Positive Enlargements

B A KNOWLEDGE CHECK Describe the enlargement A to B. B to A. A Previous knowledge check to see whether students can already complete the learning objective. If they can’t, this provides an excellent opportunity to show progress at the end of the lesson.

B A KNOWLEDGE CHECK Describe the enlargement A to B. Scale Factor = 2 Centre of Enlargement = (-5,-5) Describe the enlargement B to A. A Previous knowledge check to see whether students can already complete the learning objective. If they can’t, this provides an excellent opportunity to show progress at the end of the lesson. Scale Factor = 1 2 Centre of Enlargement = (-5,-5)

VALCAM ① ValcamTM have a logo for all their clothes. They want to enlarge the logo to print onto a t-shirt. Can you draw the logo double the size in the space below? VALCAM Can you create a method? Why is this logo difficult?

VALCAM ② ValcamTM have a logo for all their clothes. They want to enlarge the logo to print onto a t-shirt. Can you draw the logo double the size in the space below? VALCAM A Imagine there is a torch at Point A. The light makes a shadow of the logo that is bigger than the original. Draw a line from Point A to each of the logo’s vertices. How much further away does the shadow need to be?

Answer VALCAM ① ValcamTM have a logo for all their clothes. They want to enlarge the logo to print onto a t-shirt. Can you draw the logo double the size in the space below? VALCAM Can you create a method? Why is this logo difficult? Answer

Answer VALCAM ② ValcamTM have a logo for all their clothes. They want to enlarge the logo to print onto a t-shirt. Can you draw the logo double the size in the space below? VALCAM A Imagine there is a torch at Point A. The light makes a shadow of the logo that is bigger than the original. Draw a line from Point A to each of the logo’s vertices. How much further away does the shadow need to be? Answer

VALCAM 9 cm 4.5 cm ① ValcamTM have a logo for all their clothes. They want to enlarge the logo to print onto a t-shirt. Can you draw the logo double the size in the space below? VALCAM Can you create a method? Why is this logo difficult? 9 cm 4.5 cm These are two methods to enlarge a shape. One uses a grid. One uses a ‘Ray’ method. Enlargements are fundamental to graphic design as well as professions like architecture and product design.

B A 5 cm 10 cm What have we multiplied the sides of A by, to get B? 2 The enlargement has a scale factor of 2. Every enlargement has a scale factor. It can be positive, negative and fractional. (The height and length have doubled. But what has happened to the area?)

A A A B B B A B A B B A What scale factor does each enlargement have? (A to B) A

2 2 3 1 2 5 2 A A A B B B A B A B B A What scale factor does each enlargement have? (A to B) 2 A

Counting Squares Method Every enlargement has a scale factor and a centre of enlargement. ① Enlarge Shape A by a scale factor of 2 from a centre of enlargement (3,4) 6 Counting Squares Method We will count the squares to each vertex and double the distance for the new shape. 4 3 2 B A CHECK 1! We can check the enlargement with a ruler. The corresponding vertices should be in a straight line. CHECK 2! Are the lengths all double? 2 3 4 6

Counting Squares Method Every enlargement has a scale factor and a centre of enlargement. ② 6 Enlarge Shape A by a scale factor of 2 from a centre of enlargement (9,3) 8 Counting Squares Method We will count the squares to each vertex and double the distance for the new shape. 3 B 4 A CHECK 1! We can check the enlargement with a ruler. The corresponding vertices should be in a straight line. CHECK 2! Are the lengths all double? 2 2 1 1 6 4 3 2

Counting Squares Method Every enlargement has a scale factor and a centre of enlargement. ③ Enlarge Shape A by a scale factor of 3 from a centre of enlargement (10,3) 3 Counting Squares Method We will count the squares to each vertex and triple the distance for the new shape. 6 B 1 3 3 CHECK 1! We can check the enlargement with a ruler. The corresponding vertices should be in a straight line. CHECK 2! Are the lengths all double? A 2 1 1 9 3 3 1

Counting Squares Method Every enlargement has a scale factor and a centre of enlargement. ④ 2 4 Enlarge Shape A by a scale factor of 2 from a centre of enlargement (2,11) 1 2 A Counting Squares Method We will count the squares to each vertex and double the distance for the new shape. B Do we need to plot all the vertices?

Centre of Enlargement = Scale Factor = 2 Centre of Enlargement = (3,2) Describe the enlargement of shape A to B. We can see the dimensions of the shape have doubled. B A

Centre of Enlargement = Scale Factor = 3 Centre of Enlargement = (9,1) Describe the enlargement of shape A to B. We can see the dimensions of the shape have tripled. B A

Centre of Enlargement = 1 2 Scale Factor = Centre of Enlargement = (3,1) Describe the enlargement of shape A to B. A We can see the dimensions of the shape have halved. B

A B 8 8 4 4 4 2 2 2 1 1 4 8 ① Enlarge Shape A by a scale factor of 1 2 from a centre of enlargement (3,2) 8 8 4 A CHECK 1! The corresponding vertices should be in a straight line. CHECK 2! Are the lengths all halved? 4 4 B 2 2 2 1 1 4 8

A B 4 4 2 2 6 3 ② Enlarge Shape A by a scale factor of 1 2 from a centre of enlargement (4,2) A CHECK 1! The corresponding vertices should be in a straight line. CHECK 2! Are the lengths all halved? B 4 4 2 2 3 6

① A D C B F E’ G E Positive Enlargements Enlarge shape C by a scale factor of 2, from centre of enlargement (2,1). Label the new shape C’. One of the new vertices has been done for you. Enlarge shape D by a scale factor of 3, from centre of enlargement (2,10). Label the new shape D’. ① 1) Enlarge shape A by a scale factor of 2. Label the new shape A’ 2) 3) Enlarge shape B by a scale factor of 3. Label the new shape B’ A D C B Describe the enlargement from shape E to E’. 4) Enlarge shape F by a scale factor of 2, from centre of enlargement (5,11). Label the new shape F’. Enlarge shape G by a scale factor of 1 2 , from centre of enlargement (3,1). Label the new shape G’. 5) 6) F E’ G E

Answers ① A D C’ B’ A’ D’ C B Scale Factor = 2 Positive Enlargements Enlarge shape C by a scale factor of 2, from centre of enlargement (2,1). Label the new shape C’. One of the new vertices has been done for you. Enlarge shape D by a scale factor of 3, from centre of enlargement (2,10). Label the new shape D’. ① 1) Enlarge shape A by a scale factor of 2. Label the new shape A’ 2) 3) Enlarge shape B by a scale factor of 3. Label the new shape B’ A D C’ B’ A’ D’ C B Describe the enlargement from shape E to E’. 4) Enlarge shape F by a scale factor of 2, from centre of enlargement (5,11). Label the new shape F’. Enlarge shape G by a scale factor of 1 2 , from centre of enlargement (3,1). Label the new shape G’. Scale Factor = 2 Centre of Enlargement = (7,2) 5) 6) F E’ G F’ E Answers G’

② B A A B A B C E D Positive & Fractional Enlargements Describe these two enlargements of A to B ② 3) Enlarge shape A by a scale factor of 2, from centre of enlargement (11,3). Label the new shape A’. Enlarge shape B by a scale factor of 3, from centre of enlargement (5,2). Label the new shape B’. 1) 2) B A A B A B Enlarge shape C by a scale factor of 1 2 , from centre of enlargement (11,4). Label the new shape C’. Enlarge shape D by a scale factor of 1 3 , from centre of enlargement (2,10). Label the new shape D’. Enlarge shape E by a scale factor of 1 2 , from centre of enlargement (4,8). Label the new shape E’. 4) 5) 6) C E D

Answers ② Scale Factor = 2 Centre of Enlargement = (8,2) B B’ A A B A’ Positive & Fractional Enlargements Describe these two enlargements of A to B ② 3) Enlarge shape A by a scale factor of 2, from centre of enlargement (11,3). Label the new shape A’. Scale Factor = 2 Centre of Enlargement = (8,2) Enlarge shape B by a scale factor of 3, from centre of enlargement (5,2). Label the new shape B’. 1) 2) B B’ A A B A’ A B Scale Factor = 3 Centre of Enlargement = (10,5) Enlarge shape C by a scale factor of 1 2 , from centre of enlargement (11,4). Label the new shape C’. Enlarge shape D by a scale factor of 1 3 , from centre of enlargement (2,10). Label the new shape D’. Enlarge shape E by a scale factor of 1 2 , from centre of enlargement (4,8). Label the new shape E’. 4) 5) 6) C D’ E’ C’ E Answers D

B A KNOWLEDGE CHECK Describe the enlargement A to B. B to A. A Previous knowledge check to see whether students can already complete the learning objective. If they can’t, this provides an excellent opportunity to show progress at the end of the lesson.

B A KNOWLEDGE CHECK Describe the enlargement A to B. Scale Factor = 2 Centre of Enlargement = (-5,-5) Describe the enlargement B to A. A Previous knowledge check to see whether students can already complete the learning objective. If they can’t, this provides an excellent opportunity to show progress at the end of the lesson. Scale Factor = 1 2 Centre of Enlargement = (-5,-5)

Check your success! I can enlarge shapes by an integer scale factor. I can enlarge shapes by an integer scale factor and a centre of enlargement. I can enlarge shapes by a fractional scale factor.

Check your success! I can enlarge shapes by an integer scale factor. I can enlarge shapes by an integer scale factor and a centre of enlargement. I can enlarge shapes by a fractional scale factor.

The ‘counting squares’ method of enlargement. Write a text message to a friend describing… The ‘counting squares’ method of enlargement.

tom@goteachmaths.co.uk Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk