Here is the link to the Transformations foldable I created, using Kuta software for some of the graphs. If the image moved left and down, the rule will be (x -, y - ) where the blanks are the. Translating a figure can be thought of as sliding the original. But the best benefit came days later when I only had to mention the house to remind them how to differentiate between the translations and dilations in future work. Geometry Translation A geometry translation is an isometric transformation, meaning that the original figure and the image are congruent. The students enjoyed making the house different sizes and moving it around. After that, I asked if they thought they could turn it upside down. If a is negative, the function moves left, and if b is negative, the function moves down. After they were all able to make very fat houses asked them to make it skinner, taller, and shorter. In this case, the function moves a units to the right and b units up. It took them a while to figure out they had to multiply a number instead of add. I challenged them to make the house FATTER. Then I had them take out the +5, and +8 so they only had (x,y). I gave my students the link and let them play with it. Michael Pershan’s created an excellent Tool for Exploring Transformation Rules using Desmos that I love. If this triangle was reflected over the y-axis to form AHJK, what would be the coordinates of vertex K. I used coordinate changes, where (x,y) transformed to (x +2, y-1) or (-x,y) as I feel that will benefit them in later Algebra classes as well. I only had about a week to cover transformations so I focused on translations and reflections, and then briefly covered dilations.
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