Transformation

1. Transformation Reflection Rotation Translation www.mathsrevision.com Dilatation / Dilation Mixed Transformations Created by Mr. Lafferty Maths Dept.

2. Transformation Learning Intention Success Criteria • We are learning the connection between coordinates and reflection in the x and y axis. 1. Be able to reflect an object in the x or y axis given suitable coordinates. www.mathsrevision.com Created by Mr.Lafferty Maths Dept

3. 6 4 2 x 4 -6 2 8 6 -4 -2 -2 -4 -6 Reflection in x-axis B(4,5) Mapping (a,b)  (a,-b) C(5,2) A(3,2) Reflection x-axis 0 A’(3,-2) C’(5,-2) B’(4,-5)

4. 6 4 2 x 4 -6 2 8 6 -4 -2 -2 -4 -6 Reflection in y-axis B(4,5) B’(-4,5) Mapping Reflection y-axis (a,b)  (-a,b) C(5,2) A(3,2) C’(-5,2) A’(-3,2) 0

5. Reflection in x and y axis Now try N4+ TJ Ex 12.2 Q1 – Q6 Ch12 (page 83) www.mathsrevision.com Created by Mr. Lafferty Maths Department

6. Transformation Learning Intention Success Criteria • We are learning the connection between rotating an object by 90o (clockwise / anti-clockwise) or 180o and their coordinates. 1. Be able to rotate an object by 90o or 180o using suitable coordinates. www.mathsrevision.com Created by Mr.Lafferty Maths Dept

7. 6 4 2 x 4 -6 2 8 6 -4 -2 -2 -4 -6 Rotation of 90oCLOCKWISE around the Origin B(3,5) Mapping (a,b)  (b,-a) C(4,2) A(2,2) Rotation 90o 0 A’(2,-2) B’(5,-3) C’(2,-4)

8. 6 4 2 x 4 -6 2 8 6 -4 -2 -2 -4 -6 Rotation of 90oANTI - CLOCKWISE around the Origin B(3,5) C’(-2,4) Mapping (a,b)  (-b,a) B’(-5,3) C(4,2) A(2,2) A’(-2,2) Rotation 90o 0

9. 6 4 2 x 4 -6 2 8 6 -4 -2 -2 -4 -6 Rotation of 180o around the Origin B(3,5) Mapping (a,b)  (-a,-b) C(4,2) A(2,2) Rotation 180o 0 A’(-2,-2) C’(-4,-2) B’(-3,-5)

10. Rotation 90o & 180o Now try N4+ TJ Ex 12.2 Q7 – Q13 Ch12 (page 84) www.mathsrevision.com Created by Mr. Lafferty Maths Department

11. Transformation Learning Intention Success Criteria • We are learning the connection between translating an object and their coordinates. 1. Be able to translate an object using suitable coordinates. www.mathsrevision.com Created by Mr.Lafferty Maths Dept

12. 6 4 2 x 4 -6 2 8 6 -4 -2 -2 -4 -6 Translation ( Move along / up ) B(3,5) C(4,2) A(2,2) B’(-4,1) 0 B’(5,-1) C’(-3,-2) A’(-5,-2) C’(6,-4) A’(4,-4)

13. Translations Now try N4+ TJ Ex 12.2 Q14 – Q20 Ch12 (page 85) www.mathsrevision.com Created by Mr. Lafferty Maths Department

14. Transformation Learning Intention Success Criteria • We are learning the connection between dilating an object and their coordinates. 1. Be able to dilate an object using suitable coordinates. www.mathsrevision.com Created by Mr.Lafferty Maths Dept

15. 6 4 2 x 4 -6 2 8 6 -4 -2 -2 -4 -6 Dilatation / Dilation B’(6,6) Mapping A’(3,3) (a,b)  (ka,kb) C’(6,3) B(2,2) D = 3 C(2,1) A(1,1) 0

16. Dilatation / Dilation Now try N4+ TJ Ex 12.2 Q21 – Q23 Ch12 (page 86) www.mathsrevision.com Created by Mr. Lafferty Maths Department

17. Transformation Learning Intention Success Criteria • We are revising various transformations. 1. Be able to recall mappings for various transformations. www.mathsrevision.com Created by Mr.Lafferty Maths Dept

18. Transformations Reflection in x - axis Reflection in y - axis www.mathsrevision.com (a,b)  (a,-b) (a,b)  (-a,b) Created by Mr.Lafferty Maths Dept

19. Transformations Rotation 90o (Clockwise) Rotation 90o (Anti-clockwise) www.mathsrevision.com Clockwise (a,b)  (b,-a) Anti-clockwise (a,b)  (-b,a) Created by Mr.Lafferty Maths Dept

20. Transformations Rotation 180o www.mathsrevision.com (a,b)  (-a,-b) Created by Mr.Lafferty Maths Dept

21. Transformations Translation by (x,y) Dilation by k www.mathsrevision.com (a,b)  (a + x , b + y) (a,b)  (ka , kb) Created by Mr.Lafferty Maths Dept

22. Mixed Transformation Now try N4+ TJ Ex 12.3 Ch12 (page 86) www.mathsrevision.com Created by Mr. Lafferty Maths Department