![]() ![]() Here is the link to the Transformations foldable I created, using Kuta software for some of the graphs. 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. In geometry, a transformation is an operation that moves, flips, or changes a shape (called the preimage) to create a new shape (called the image). 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. After they were all able to make very fat houses asked them to make it skinner, taller, and shorter. ![]() These points can then be joined together to create. A translation is a slide from one location to another, without any change in size or orientation. It took them a while to figure out they had to multiply a number instead of add. When given a translation, it is possible to plot a shape in its new position. I challenged them to make the house FATTER. Translations are isometric, and preserve orientation. Also, graph the image and find the new coordinates of the vertices of the translated figure in these pdf exercises. Translations can be achieved by performing two composite reflections over parallel lines. Then I had them take out the +5, and +8 so they only had (x,y). Our printable translation worksheets contain a variety of practice pages to translate a point and translate shapes according to the given rules and directions. ![]() To reflect the graph of a function h(x) around the y -axis (that is, to mirror the two halves of the graph), multiply the argument of the function by. I gave my students the link and let them play with it. The two rules for function reflection are these: To reflect the graph of a function h(x) over the x -axis (that is, to flip the graph upside-down), multiply the function by 1 to get h(x). To see how this works, try translating different shapes. Michael Pershan’s created an excellent Tool for Exploring Transformation Rules using Desmos that I love. Every point of the shape must move: the same distance in the same direction. 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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