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Using this sketch, you’ll construct and explore reflect functions. You’ll manipulate them, observe them, and learn how this function family behaves.
✏️ How does this video relate to the reflect functions you just constructed?
4 Reflection Designs
Each page of this sketch has a faint background image showing traces left by an independent variable x and its reflected image `r_j(x)`. But the mirror is hidden!
Construct your own reflect function and adjust it so you can drag x to make the same pattern as the one shown faintly in the background.
✏️ What did you learn as you solved these challenges? Describe your method so another student could use it.
5 Reflect Games
Each of these three games has a different purpose:
For each game play a few times at easier levels, and work your way up to level 5. (Once you start a game at one level, you must press Reset to change to a different level.)
✏️ For each game, how many hits can you score in ten tries at level 5?
✏️ What methods did you invent to make it easier to get a high score?
6 Reflect Dance
In a group of four or five students, mark a mirror on the classroom floor with a string or rope and invent a reflect-family dance
One person should be the independent variable, another should be the dependent variable, a third should be the videographer, and the remaining group members are choreographers in charge of making sure the dancers are correctly positioned relative to the mirror.
Take turns so everyone in the group has a chance to be the independent or dependent dancer.
Then choreograph a reflect-family dance for your entire group, and ask someone from another group to video your group dance.
This page supports the Reflect Family lesson from the Introducing Geometric Transformations as Functions unit. You will construct reflect functions, manipulate and observe them, and learn how this function family behaves.
By the end of this lesson, you’ll be able to perform these actions and answer these questions:
The Fine Print
Record every major revision, in reverse chronological order