Geometry Dilations

1. MONDAY May 9th • To Do: • Agenda: • Outcome/HW: • Sharpen pencils • Copy Agenda • Complete the Warm-Up • Dilation Activity • Dilations in Desmos • Notes/Rules Students will be able to dilate two-dimensional figures. DeltaMath #4 due by May 13th

11. Link for teachers: click here

12. Dilation Activity: Ordered pairs: L S S ( , ) A ( , ) I ( , ) L ( , ) A I

13. Scale factor of 2 Ordered pairs: Dilation Activity: Important rule: You multiply your scale factor to both values in the ordered pair.(x,y) (x (k), y (k)) S (-1,2) A (-1,0) I (1,0) L (1,2 )

14. Scale factor of 2 Ordered pairs: Dilation Activity: Important rule: You multiply your scale factor to both values in the ordered pair.(x,y) (x (k), y (k)) S (-1,2) x (2) = A (-1,0) x (2) = I (1,0) x (2) = L (1,2 ) x (2) =

15. Important rule: You multiply your scale factor to both values in the ordered pair.(x,y) (x (k), y (k)) Scale factor of 2 Ordered pairs: Dilation Activity: S (-1,2) x(2), -1 2=-2 A (-1,0) x(2), -1 2=-2 I (1,0) x(2), 1 2= 2 L (1,2 ) x(2), 1 2= 2

16. Ordered pairs: Scale factor of 2 Dilation Activity: Important rule: You multiply your scale factor to both values in the order pair.(x,y) (x (k), y (k)) S (-1,2) y(2) A (-1,0) y(2) I (1,0) y(2) L (1,2 ) y(2)

17. Important rule: You multiply your scale factor to both values in the order pair.(x,y) (x (k), y (k)) Ordered pairs: Scale factor of 2 Dilation Activity: S (-1,2) y(2) 2 2= 4 A (-1,0) y(2) 0 2= 0 I (1,0) y(2) 0 2= 0 L (1,2 ) y(2) 2 2= 4

18. Important rule: You multiply your scale factor to both values in the ordered pair.(x,y) (x (k), y (k)) Ordered pairs: Scale factor of 2 Dilation Activity: S (-1,2) (-2,4) A (-1,0) (-2,0) I (1,0) (2,0) L (1,2 ) (2,4)

19. Ordered pairs: Scale factor of 2 Dilation Activity: L’ S’ L S S (-1,2) S’ (-2,4) A (-1,0) A’ (-2,0) I (1,0) I’ (2,0) L (1,2 ) L’ (2,4) A A’ I I’

20. Let’s try another one: Ordered pairs: S U S ( , ) U ( , ) N ( , ) N

21. Ordered pairs: Let’s try another one: S U S (-2,4 ) U ( 4,4 ) N ( 0,-2 ) N

22. Let’s try another one: Scale factor ½ Ordered pairs: S U S (-2 x (½),4 x (½) ) U (4 x (½),4 x (½) ) N (0 x (½),-2 x (½) ) N

23. Ordered pairs: Let’s try another one: Scale factor ½ S U S (2 x (½),4 x (½) ) =S’(-1,2) U (4 x (½),4 x (½) ) =U’(2,2) N (0 x (½),2 x (½) ) =N’(0,-1) N

24. What do you notice about the the scale factor? If it is greater than one: __________. If it is a fraction between 0 and 1: _________.

25. What do you notice about the the scale factor? If it is greater than one: __________. If it is a fraction between 0 and 1: _________. Enlargement

26. What do you notice about the the scale factor? If it is greater than one: __________. If it is a fraction between 0 and 1: _________. Enlargement Reduction

27. Dilation Rule

29. Review transformations: Brainpop review of all three types (reflect, rotate and translate) Dilation:(6:30 minutes)

31. Notes - Transformation Rules Dilations Rule: To dilate a point, multiply both the x-coordinate and y-coordinate by the scale factor. (rx,ry) Examples: Dilate each using a scale factor of 3 (enlargement). Pre-image: (6,8)..... Image (18,24) Pre-image: (-7,0)..... Image (-21,0) Pre-image: (0,-5)..... Image (0,-15) Pre-image: (-10,10)..... Image (-30,30)

32. Practice worksheets Practice

33. Practice worksheets Practice

34. Practice worksheets Practice

35. Practice worksheets Practice

36. Practice worksheets Practice

37. Practice worksheets Practice

38. Practice Answers Answers to the practice worksheets

39. Practice Answers Answers to the practice worksheets

40. Practice Answers Answers to the practice worksheets