# Goal: to Provide Opportunities for Students to Develop Concepts and Skills Related To

Station 1-6 directions

Station 2 board and

Station 1

At this station, you will be performing various transformations.

As a group, agree on what you'll do.

Step 1: In the coordinate plane on your page, draw a simple figure (i.e. triangle, rectangle, etc.). Try to go through points when possible. Name your points on your graph and give the coordinates.

Step 2: Reflect the figure you drew over the y-axis in red marker. Use prime notation for your new points.

Step 3: What are the new coordinates? Did everyone come up with the same coordinates? Why or why not?

Step 4: Now move your figure down three in blue marker. Use double prime notation for you new points.

Step 5: What are the new coordinates? Did everyone get the same coordinates? Why or why not?

Step 6: Rotate your figure 180 degrees in green marker. Use triple prime notation for your new points.

Step 7: What are the new coordinates? Did everyone get the same coordinates? Why or why not?

Discussion question: If there was a triangle with coordinates of (1, 1), (2, 7) and (4, 3), and you wanted to shift it three units to the left, what would the new coordinates be? Explain how you arrived at your answer.

Station 2

At this station, you will lead a dot through a maze by explaining the necessary translations (e.g., slides, flips).

In the Smart Pal is the maze. Starting at the beginning, (0,0), your group's goal is to get to the bottom right where there is a break in the graph. Imagine that the top left comer is (0, 0).

Discuss the steps and record them in the table below. List the translation in words and the coordinates of the new point where the dot will be after each move.

Discussion Question: What were your strategies for going through this maze?

Station 3

At this station, you will be dilating a figure of your design.

As a group, agree on what you create.

Step 1: Discuss as a group, and agree on a simple figure to draw on the coordinate plane below. It needs to intersect at least five whole number pairs of coordinates.

Step 3: Dilate your figure by a factor of two. Draw in red and use prime notation for your new points.

Step 4: Discuss with your group. What are your new coordinates? Does everyone agree? Why or why not?

Step 5: Dilate your original figure by a scale factor of 1/2. Draw in blue and use double prime notation for your new points.

Step 6: Discuss with your group. What are your new coordinates? Does everyone agree? Why or why not?

Discussion Question: How does dilation affect the coordinates? Be specific!

Station 4

At this station, you will find a ruler. You will use this to create various reflections.

Look at the two figures below. Draw a reflection across they-axis on your answer sheet.

Create a drawing on the grid on the next page. Also draw the reflection.

Discussion Question: What was your strategy for finding the reflections? Do all your reflections look the same?

Why or why not? Take notes in the section provided on your answer key.

Station 5

At this station you will participate in a scavenger hunt for transformation in

image and word.

Match the picture to the corresponding word description of the transformation. Some pictures have more than one match.

Discussion question: Select 2-3 of your matches and describe the process you used to match them. How did you identify reflections from rotation, translations from dilations? Be specific.

Station 6

At this station you will play the transformation game. Test your skills at forming compound transformations to earn maximum points.

How to play:

·  Shuffle the cards, deal five to each player and place the rest of the pack face down on the table. Put the counter on the triangle marked "start".

·  Players take it in turns to move. When it is a player's turn, s/he must try to move the playing piece from where it is on the board to another of the marked triangles. S/he must use a transformation or combination of transformations corresponding to one or more of the cards in his/her hand. In the case of more than one card, the intermediate positions of the playing piece need not correspond to a marked triangle.

·  When a player has moved, s/he throws away the card or cards s/he has used, and replaces it (or them) with cards from the unused pile.

·  The player scores the number of points corresponding to the number on the triangle where s/he finally lands.

·  If a player cannot move (or does not wish to move), s/he may throw away one card and replace it with another.

·  When using a joker, a player must announce what it represents before s/he uses it.

·  If a player makes a mistake, the playing piece is returned to its last position and the player at fault misses that turn.

The game ends when the pile of unused cards is empty and no one can move. The player with the highest total score wins.

Discussion Question: What strategies did you used that benefitted you in the game? What strategy did you use that did not benefit you? Take notes in the section provided on your answer key.

Station 1

Discussion Question: ______

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Turn / Translation in Words / New Coordinates
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2
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4
5
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8

Station 2

Discussion Question: ______

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Station 3

Discussion Question: ______

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Station 4

Discussion Question:

Station 5

1.  ______2. ______3.______4. ______5. ______6. ______7. ______

8. _____ 9. ______10. ______11. ______12. ______13. ______14. ______

Discussion Question: ______

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Points / Translation

Station 6

Total: ______

Discussion Question: ______

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