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Level 4 9-May-15Created by Mr. Lafferty Maths Dept. Reflection Rotation Transformation www.mathsrevision.com Translation Dilatation / Dilation Mixed Transformations.

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Presentation on theme: "Level 4 9-May-15Created by Mr. Lafferty Maths Dept. Reflection Rotation Transformation www.mathsrevision.com Translation Dilatation / Dilation Mixed Transformations."— Presentation transcript:

1 Level 4 9-May-15Created by Mr. Lafferty Maths Dept. Reflection Rotation Transformation Translation Dilatation / Dilation Mixed Transformations

2 Level 4 9-May-15Created by Mr.Lafferty Maths Dept Transformation Learning Intention Success Criteria 1.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.

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

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

5 Level 4 9-May-15Created by Mr. Lafferty Maths Department Now try N4 + TJ Ex 12.2 Q1 – Q6 Ch12 (page 83) Reflection in x and y axis

6 Level 4 9-May-15Created by Mr.Lafferty Maths Dept Transformation Learning Intention Success Criteria 1.We are learning the connection between rotating an object by 90 o (clockwise / anti-clockwise) or 180 o and their coordinates. 1.Be able to rotate an object by 90 o or 180 o using suitable coordinates.

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

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

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

10 Level 4 9-May-15Created by Mr. Lafferty Maths Department Now try N4 + TJ Ex 12.2 Q7 – Q13 Ch12 (page 84) Rotation 90 o & 180 o

11 Level 4 9-May-15Created by Mr.Lafferty Maths Dept Transformation Learning Intention Success Criteria 1.We are learning the connection between translating an object and their coordinates. 1.Be able to translate an object using suitable coordinates.

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

13 Level 4 9-May-15Created by Mr. Lafferty Maths Department Now try N4 + TJ Ex 12.2 Q14 – Q20 Ch12 (page 85) Translations

14 Level 4 9-May-15Created by Mr.Lafferty Maths Dept Transformation Learning Intention Success Criteria 1.We are learning the connection between dilating an object and their coordinates. 1.Be able to dilate an object using suitable coordinates.

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

16 Level 4 9-May-15Created by Mr. Lafferty Maths Department Now try N4 + TJ Ex 12.2 Q21 – Q23 Ch12 (page 86) Dilatation / Dilation

17 Level 4 9-May-15Created by Mr.Lafferty Maths Dept Transformation Learning Intention Success Criteria 1.We are revising various transformations. 1.Be able to recall mappings for various transformations.

18 Level 4 9-May-15Created by Mr.Lafferty Maths Dept Transformations Reflection in x - axis (a,b)  (a,-b) Reflection in y - axis (a,b)  (-a,b)

19 Level 4 9-May-15Created by Mr.Lafferty Maths Dept Transformations Rotation 90 o (Clockwise) Clockwise (a,b)  (b,-a) Anti-clockwise (a,b)  (-b,a) Rotation 90 o (Anti-clockwise)

20 Level 4 9-May-15Created by Mr.Lafferty Maths Dept Transformations Rotation 180 o (a,b)  (-a,-b)

21 Level 4 9-May-15Created by Mr.Lafferty Maths Dept Transformations Translation by (x,y) (a,b)  (a + x, b + y) Dilation by k (a,b)  (ka, kb)

22 Level 4 9-May-15Created by Mr. Lafferty Maths Department Now try N4 + TJ Ex 12.3 Ch12 (page 86) MixedTransformation


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