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Geometry Rotations

On a coordinate plane<br>Goes along with translations, reflections, rotations

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Geometry Rotations

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  1. Thursday Translations- Brainingcamp Lesson and Notes Translations Practice Worksheet DeltaMath Time May 5th TO DO LIST: Sharpen pencils Complete the Warm-Up AGENDA: Rotation Model Lesson Patty Paper Activity Practice Problems & Rotation Rules OUTCOME: Students will be able toROTATE two dimensional figures HOMEWORK: DeltaMath HW#3: due by TOMORROW, May 6th

  2. Part 1 Part 2- Review for MCAP A. 2 D. 5 G. 8 B. 3 E. 6 C. 4 F. 7

  3. Part 1

  4. Part 2- Review for MCAP A. 2 D. 5 G. 8 B. 3 E. 6 C. 4 F. 7

  5. Tiger Model Lesson

  6. Model Lesson: Rotations What does it mean to rotate clockwise or counterclockwise?

  7. What does it mean to rotate clockwise or counterclockwise? Model Lesson: Rotations

  8. What does it mean to rotate 90o, 180o , and 270o ?

  9. Let’s help Mya. Mya is designing a quilt to represent her school. The school’s symbol is a pentagon with a tiger in the middle. Mya has the symbol in one quadrant of her quilt, but wants to have the symbol in each of the quadrants facing a different direction.

  10. We are now going to use patty paper to do this activity. Please wait and follow the instructions with your teacher.

  11. Place the patty paper on top of the coordinate plane on your worksheet. Trace and label the x-axis and y-axis on the patty paper. Without moving the patty paper, trace the pentagon and label each vertex just like the original. Make the outline of the tiger face and ears inside the pentagon. You will be using the patty paper to rotate the pentagon by turning the paper and aligning the axes.

  12. Next: Rotate it the patty paper 90o clockwise. (to the right)

  13. Next: Rotate it the patty paper 90o clockwise. (to the right) Your patty paper y-axis should be lined up with the original x-axis on your worksheet.

  14. Next: Rotate it the patty paper 90o clockwise. (to the right) Your patty paper y-axis should be lined up with the original x-axis on your worksheet. Write the coordinates for the vertices of the pentagon’s NEW location in the “first rotation” box. Notice the x and y coordinates are reversed and the one on the right is now opposite. (y, -x)

  15. Next: Take the patty paper off the "quilt" Use the coordinates for the vertices of the pentagon’s NEW location in the “first rotation” box to plot the tiger quilt pentagon on your worksheet.

  16. Model lesson:Rotations

  17. What rotation did we just perform?

  18. What rotation did we just perform? 90 degrees clockwise rotation NEW COORDINATES ( y, -x )

  19. Next: Place the patty paper on the preimage. (Quadrant III - original tiger pentagon) Rotate the patty paper 180o. This is two 90 degree turns to the right. Talk to your table and discuss: Would it be the same image when rotated clockwise OR counterclockwise? Write the coordinates for the vertices of the pentagon’s NEW location in the “Second Rotation” box. Take the patty paper off the "quilt" and plot/label the coordinates of the pentagon.

  20. Model lesson:Rotations

  21. How could I now rotate the preimage to be in Quadrant IV?

  22. How could I now rotate the preimage to be in Quadrant IV? 90 degrees counterclockwise rotation 270 degrees clockwise rotation

  23. Next: Place the patty paper on the preimage. (Quadrant III - original tiger pentagon) Rotate the patty paper to place the our image in Quadrant IV. Write the coordinates for the vertices of the pentagon’s NEW location in the “Third Rotation” box. Take the patty paper off the quilt and plot/label the coordinates of the pentagon.

  24. What remains the same when the figure is rotated?

  25. What remains the same when the figure is rotated? • Size and shape • Rigid transformations • Congruent image and preimage

  26. What changes when the figure is rotated?

  27. What changes when the figure is rotated? • Orientation (direction) • Ordered pairs

  28. Are all the pentagons on the quilt the same?

  29. Are all the pentagons on the quilt the same? They are the same size and shape. In other words, they are congruent.

  30. Do we always need to know the direction we are rotating? Why or why not?

  31. Do we always need to know the direction we are rotating? Why or why not? Yes and No: a 90 degree clockwise rotation is different from a 90 degree counterclockwise rotation. However, a 180 degree rotation won’t matter which way it rotates.

  32. Translation Rule

  33. Now, you practice this one without me. (You can use patty paper)

  34. Practice worksheets Practice

  35. Practice worksheets Practice

  36. Practice worksheets Practice

  37. Practice worksheets Practice

  38. Practice worksheets Practice

  39. Practice worksheets Practice

  40. Practice worksheets Practice

  41. Practice Answers Answers to the practice worksheets

  42. Practice Answers Answers to the practice worksheets

  43. Practice Answers Answers to the practice worksheets

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