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Totally Transformed

Totally Transformed. Using Cabri Jr. on the TI-83 or 84. The shape changes size and position The shape changes size but not position The shape changes position but not size . What happens In a rigid transformation. Rotation, Reduction, Reflection Translation, Reflection, Dilation

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Totally Transformed

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  1. Totally Transformed Using Cabri Jr. on the TI-83 or 84

  2. The shape changes size and position • The shape changes size but not position • The shape changes position but not size What happens In a rigid transformation

  3. Rotation, Reduction, Reflection • Translation, Reflection, Dilation • Rotation, Reflection, Translation • Reflection, Rotation, Dilation What are the three types of Rigid transformations?

  4. Rotation • Reflection • Translation What type of transformation was illustrated in the picture?

  5. Rotation • Reflection • Translation What type of transformation was illustrated in the picture?

  6. Rotation • Reflection • Translation What type of transformation was illustrated in the picture?

  7. Discover what happens in each type of transformation. • Use graphing calculators to make our discoveries • Create fractals using transformations Today we will……

  8. Cabri Jr.IMPORTANT KEYS ∏π∫ª º Arrows move the cursor a AU

  9. LETS PRACTICE

  10. Follow the directions on your sheet • Record all measurements in journal • Determine a definition • Draw an illustration NOW IT’S YOUR TURN

  11. Record information in your journal

  12. What did we discover?

  13. TRANSLATION Distance: A,A’ _____ B,B’ _____ C,C’ _____ Dragging the point what happened?

  14. TRANSLATION slides A transformation that _______ each point of a figure the same _________ and in the same _______ . distance direction

  15. Can you find a translation in the tile?

  16. Distance: A,A’: _____ B,B’: _____ C,C’: _____ Rotation • ANGLES: <ADA’: _____ <BDB’: _____ <CDC’: _____

  17. turns A transformation that _______ a figure ________ a point. The angle measurement between ____________________ and the _________________ are the _____. Rotation around corresponding points center of rotation same

  18. Can you find a rotation in the tile?

  19. LETS Create the reflection together

  20. Distance: A,A’: _____ B,B’: _____ C,C’: _____ reflection • ANGLES: <ADA’: _____ <BDB’: _____ <CDC’: _____

  21. flips A transformation that _____ a figure across the line of _________ forming a _____________ bisector with the segment joining the ___________________. Reflection reflection perpendicular corresponding points

  22. Can you find a reflection in the tile?

  23. Player 1 spins and arrow lands on red Transformation game a. Look at key b. Reflect up one block c. Rotate 90 counter- clockwise d. Translate diagonally

  24. Fractal tiles

  25. Geometric figures built up from a simple shape by repeating the same changes at smaller and smaller scales. (recursion) What are fractals?

  26. Self-similar objects that look the same no matter to what stage you zoom. What are fractals?

  27. FRActals Can be found in … TECHNOLOGY MOVIES ARCHITECHTURE NATURE

  28. Creating stage 1 Translation Translate one tile up Translate one tile right

  29. Rotate the top 90 degrees clockwise Creating stage 1 Rotation Rotate the bottom right 90 degrees clockwise

  30. Creating stage 2 Translation Translate one grid up and one grid to the right

  31. Rotate top 90 Rotate bottom right 90

  32. To create Stage 3 repeat the process

  33. What are some examples of transformations in the real world?

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