1 / 17

Targeting Grade C

GCSE Mathematics. Targeting Grade C. Transformations SSM2. C. C. The big picture. Can you: Reflect a 2D shape in a line and state the equation of the line. Rotate a 2D shape about a point and state the angle, direction and centre of rotation. Try a question

millie
Download Presentation

Targeting Grade C

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. GCSE Mathematics Targeting Grade C Transformations SSM2

  2. C C The big picture

  3. Can you: • Reflect a 2D shape in a line and state the equation of the line. • Rotate a 2D shape about a point and state the angle, direction and centre of rotation. • Try a question • Translate a 2D shape and describe the tranlation • Enlarge 2D shapes using positive scale factors • Describe a single transformation that is equivalent to a combination of transformations • Try a test Practice 1:Reflection Practice 2: Rotation Try a question Practice 3: Translation Practice 4: Enlargement Practice 5: Combinations of transformations Exam questions If not you need

  4. Practice 1 T/ T Reflect Triangle ‘T’ about the dotted line Are you ready for the answer? Remember reflection does not change shape or length!

  5. Practice 1 S Are you ready for the answers? Reflect shape ‘S’ about the dotted line What happens when you reflect in a diagonal line? Hint look at the angles on the diagonal lines for corresponding points.

  6. Practice 2 T Rotate Triangle ‘T’ 90º Anticlockwise about the centre Remember to ask for tracing paper in the exam! Are you ready for the answer?

  7. Practice 2 T Remember-3 things! centre of rotation, direction of rotation and angle of rotation Rotate Triangle ‘T’ 180º anticlockwise, about the centre Are you ready for the answer?

  8. Y axis Try a question Reflection and rotation only change position. 1. Draw the line of reflection for A to B. 2. State the equation of the line of reflection. 3. Rotate A, centre of rotation (0,0), 90º anticlockwise. Label C 8 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 A C X axis -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 All y values are –1, so equation of line is y = -1 B Are you ready for the answers?

  9. Practice 3 8 7 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -7 Translate A, 4 units left and 2 units up. Translate B A/ A -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 Translation: Same shape, same size, same orientation B/ B Are you ready for the answers?

  10. Enlargement Practice 4 B Are you ready for the answer? Enlarge B Scale Factor 2 But where should it go on the grid???? What happens to lengths of sides? What happens to shape?

  11. Practice 4 1. Work out the scale factors of each enlargement from A. 2. Start with D, work out each scale factor enlargement. 3. Shape E cannot be seen. From E shape D is a scale factor enlargement of ¼. Describe shape E. D C B A 3. 2. Shape E is the same shape as D, but the corresponding sides are 4 times longer. 1. A to B is SF ½ A to C is SF 3 A to D is SF 2 D to A is SF ½ D to B is SF ½ D to C is SF 1 ½ Are you ready for the answers?

  12. Y axis 5 Practice 4 G X axis 5 10 Use the radial lines from the centre of enlargement to position the enlargement. What happens to shape? Sides? Enlarge G Scale Factor ½ Centre of enlargement the origin, (0,0) Are you ready for the answer?

  13. (a) (i) Describe fully the single transformation that takes the shaded triangle to triangle A. (2) ............................................................................................................... (ii) On the grid above translate the shaded triangle by 2 squares to the right and 4 squares down. (1) Practice 5 Are you ready for the answers? • (i)A reflection in the line x = -1 • (ii)Purple triangle

  14. (b) Triangle P is an enlargement of the shaded triangle. (i) What is the scale factor of the enlargement? Answer .........................................................…(1) (ii) What is the centre of enlargement? Answer (..........................., .............................) (1) Are you ready for the answers? b(i) ½ (ii) (-2,-1)

  15. Try a question Hint Read the question carefully!! Answer fully Are you ready for the answer? Remember there are 2 parts to describe an enlargement. It is an enlargement, scale factor ½, centre of enlargement (0,3)

  16. Exam question Are you ready for the answers? • A • E • Reflection in the line x = -2 • Write down the letter of the triangle • after the shaded triangle is reflected in the line x = 3 (1) • After the shaded triangle is translated by 3 squares to the right and 5 squares down. (1) • Describe fully the single transformation which takes triangle F on to triangle G • (2)

More Related