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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 - PowerPoint PPT Presentation

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Transformations

Totally Transformed

Using Cabri Jr. on the TI-83 or 84Today we are going to discover what rigid transformations are and how they are used in art, architecture, and fractal geometry.1What happens In a rigid transformationThe shape changes size and positionThe shape changes size but not positionThe shape changes position but not size

Answer is 3. 2What are the three types of Rigid transformations? Rotation, Reduction, Reflection Translation, Reflection, Dilation Rotation, Reflection, Translation Reflection, Rotation, DilationAnswer is 3. Dilations do not fit in this category because their size changes.

3

Look at this picture. What type of rigid transformation does it illustrate? (reflection)4What type of transformation was illustrated in the picture? Rotation Reflection Translation

Answer is 2. How did the position of the mountain change? It flipped like a mirror image.5

Watch this picture. What type of rigid transformation is it? You must click once so that the picture slides to the right.6What type of transformation was illustrated in the picture? Rotation Reflection Translation

Answer is 3. How did the position change? It slid to the right.7

Look at the pinwheel. What type of transformation does it illustrate?8What type of transformation was illustrated in the picture? Rotation Reflection Translation

Answer is 1. How did the position change? The pinwheel pieces turned at an angle.9Discover what happens in each type of transformation.

Use graphing calculators to make our discoveries

Create fractals using transformationsToday we willCabri Jr.IMPORTANT KEYS

Arrows move the cursora

AU

Do not pass out calculators yet. Go over the main keys with the students. Tell students they will have a Cabri Tool Sheet to remind them of these keys.11LETS PRACTICE

Use Smart View and practice with students some of the major tools. Show them how to create a triangle and label it. It would be helpful to also show how to measure and move things. This will save time when they are on their own. Then pass out the calculators and go through first few steps together. Create the triangle and label the points.12Follow the directions on your sheet

Record all measurements in journal

Determine a definition

Draw an illustration

NOW ITS YOUR TURN

Hand out direction packets and journals at this point. Each pair will get directions translations and rotations. Reflections are more difficult so do that together as a class. Tell students they will have about 15 20 minutes to complete this. If they finish early they may switch direction sheets with partner and create a second transformation. Go to next slide to explain journal13Record information in your journal

Explain that while they are creating their transformations, they need to take certain measurements and make observations about them. For example: for rotations they need to find distance between corresponding points. When they have finished with their transformation they need to use the information gathered to fill in the blanks of the definition.14What did we discover?

Starting with translation, have a group share information in next few slides.15Distance: A,A _____ B,B _____ C,C _____

Dragging the point what happened?TRANSLATION16A transformation that _______ each point of a figure the same _________ and in the same _______ .TRANSLATIONslidesdistancedirection Ask students if they know what should go in the blanks. Click for each answer to pop up.17Can you find a translation in the tile?

Using the pen tool or a pointer have students come up and circle all of the translations they see.18Distance: A,A: _____ B,B: _____ C,C: _____

RotationANGLES: