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Slide, flip, turn, stretch: 8th grade math

Transformations: rotations, reflections, translations, dilations; congruence and similarity. A free 8th grade lesson plan, a question set with answers and a printable sheet with its key. Copy it and make it yours.

Lesson plan

Goal

  • Students can do this: transformations: rotations, reflections, translations, dilations; congruence and similarity.

Teach (10 min)

  • A translation slides every point the same way. Right adds to x, left takes away from x.
  • Up adds to y, down takes away from y. (2, 3) moved 4 right and 1 down is (6, 2).
  • Work one example on the board while students say each step aloud, then do one together.

Practise (15 min)

  • Students work the printable sheet in pairs, then alone.
  • Or practise it as a game with no sign-up: https://peabody.kids/math/moves.translate?lesson=8-moves-translate-1&at=8

Exit ticket (5 min)

  • Use the first three questions on the printable sheet as a slip.

Printable sheet

Name: ____________________   Date: ____________

Slide, flip, turn, stretch (8th grade)

  1. A translation moves every point 4 units right and 2 units up. Point P is at (0, 3). What is the y-coordinate of P′?
    −6−6−5−5−4−4−3−3−2−2−1−1112233445566xyP
  2. A translation moves every point 1 unit right. Point P is at (5, 3). What is the y-coordinate of P′?
    −6−6−5−5−4−4−3−3−2−2−1−1112233445566xyP
  3. A translation moves every point 1 unit right and 2 units up. Point P is at (0, −4). What is the x-coordinate of P′?
    −6−6−5−5−4−4−3−3−2−2−1−1112233445566xyP
  4. A translation moves every point 3 units right and 3 units up. Point P is at (−3, −3). What is the x-coordinate of P′?
    −6−6−5−5−4−4−3−3−2−2−1−1112233445566xyP
  5. A translation moves every point 2 units right and 1 unit up. Point P is at (0, −2). What is the y-coordinate of P′?
    −6−6−5−5−4−4−3−3−2−2−1−1112233445566xyP
  6. A translation moves every point 1 unit right and 1 unit up. Point P is at (−3, 5). What is the x-coordinate of P′?
    −6−6−5−5−4−4−3−3−2−2−1−1112233445566xyP
  7. A translation moves every point 4 units up. Point P is at (−4, −5). What is the y-coordinate of P′?
    −6−6−5−5−4−4−3−3−2−2−1−1112233445566xyP
  8. A translation moves every point 5 units left. Triangle ABC has A at (2, −5), B at (0, 5) and C at (−1, −5). What is the x-coordinate of C′?
    −6−6−5−5−4−4−3−3−2−2−1−1112233445566xyABC
  9. A translation moves every point 1 unit left and 2 units up. Triangle ABC has A at (1, −2), B at (5, 2) and C at (0, 4). What is the x-coordinate of B′?
    −6−6−5−5−4−4−3−3−2−2−1−1112233445566xyABC
  10. A translation moves every point 1 unit left and 2 units down. Triangle ABC has A at (−5, 0), B at (−2, 4) and C at (3, −3). What is the x-coordinate of C′?
    −6−6−5−5−4−4−3−3−2−2−1−1112233445566xyABC
  11. A translation moves every point 3 units left and 3 units down. Triangle ABC has A at (0, 2), B at (0, 7) and C at (7, 7). What is the x-coordinate of C′?
    −8−8−6−6−4−4−2−222446688xyABC
  12. A translation moves every point 1 unit right. Point P is at (−2, −3). What is the y-coordinate of P′?
    −8−8−6−6−4−4−2−222446688xyP
Key
  1. 5
  2. 3
  3. 1
  4. 0
  5. −1
  6. −2
  7. −1
  8. −6
  9. 4
  10. 2
  11. 4
  12. −3

Written by Peabody from its own skill pages. Free, no ads, no sign-in. Children can practise this on Peabody. More from teachers: teacher-shared resources.