3. 1. Watch this video and fill in a definition for each of the terms (2-4) 1. https://www.youtube.com/watch?v=r3lN_B ADmPQ 2. Translations 3. Reflection 4. Rotation 5. Dilatation

4.  A mapping rule is an algebraic expression that describes a change __________  Instead of verbal instructions, is numerical instructions  The instructions tell __________ (Moved? Reflected? Size?)

5. To make a mapping rule… What are the coordinates for Triangle ABC? A: B: C: A B C

6. To make a mapping rule… What are the coordinates for Triangle ABC? A: B: C: Now, take point A and move it right 5 spaces and down 3. Label the new point A` A B C A`

7. To make a mapping rule… What are the coordinates for Triangle ABC? A: (-6, 7) B: (-4, 2) C: (-8, 2) B would move in a similar way. If: B  B` Then: (-4, 2)  (____, _____) And C  C`, then (-8, 2)  (____, _____) A B C A` B` C`

8. To make a mapping rule… What are the coordinates for Triangle ABC? A: (-6, 7) B: (-4, 2) C: (-8, 2) B would move in a similar way. If: B  B` Then: (-4, 2)  ) And C  C`, then (-8, 2)  A B C A` B` C`

9. To make a mapping rule… What are the coordinates for Triangle ABC? A: B: C: How could we determine the new coordinates ( B` and C`) without plotting them on the grid? A B C A` B` C`

10. To make a mapping rule… What are the coordinates for Triangle ABC? A: B: C: If we can say “I added 5 to x and subtracted 3 from y” we can also do show that with numbers. Mapping rule: __________ A B C A` B` C`

11.  Mapping rules show the changes to x and y (x, y)  (x + 2, y +3) Values of x and y “are changed by…” Change affecting y Change affecting x

12.  In your groups take this shape (pre-image) and translate it to a new spot on the grid.  Exchange images with another group.  Make the mapping rule for the other group’s image.  Trade back and compare A C B D

13.  Complete the table of mapping coordinated to show change Pre-ImageMapping ruleNew Coord’ates (3, -2)(x,y)  (x + 2, y + 3) (0,6)( -3,4) (x,y)  (x - 2, y + 1)(8, 5) (x,y)  (-y, x) (2, 5) (-4, 1)(x,y)  (3x, 3y)

14.  x and y are both changed by addition and/or subtraction  They do not need to be changed the same amount

15. Question #1 On a grid, create triangle RST with vertices R(-4, 4) S(-6, 2) T(-3, 2). Translate triangle RST 4 spaces left. This is R`S`T` 1. What are the new coordinates of this triangle? 2. Compare the vertices of the original triangle. What is the mapping rule? Translate R`S`T` 5 spaces down. This is R``S``T`` 3. Explain why (x, y)  (x-4, y-5) would describe the relation between the final position of the triangle (R``S``T``) and the original. 4. Without graphing, what would be the coordinates of R```S```T``` if the mapping rule was (x, y)  (x+7, y-3)?