How to "Make" a Dilation
Note: Be prepared. Getting this sketch to "work" - i.e. to correctly "make" a dilation - is difficult unless you get the trick to it. Very mathematically rich, but very tricky.
Standards
MCC9‐12.G.SRT.1 Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Learning objectives
Students will utilize the fact that corresponding side lengths of dilated figures (triangles) are proportional in length to create similar triangles.
Students will use prior knowledge of dilations to aid their construction of similar triangles.
SMPs 1, 2, 3, 5, 6
MCC9‐12.G.SRT.1 Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Learning objectives
Students will utilize the fact that corresponding side lengths of dilated figures (triangles) are proportional in length to create similar triangles.
Students will use prior knowledge of dilations to aid their construction of similar triangles.
SMPs 1, 2, 3, 5, 6
How to "Make" a Dilation Teacher Guidelines and Handout (& Key)
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How to "Make" a Dilation Teacher Guidelines | |
File Size: | 174 kb |
File Type: | docx |
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how_to_make_a_dilation_handout.docx | |
File Size: | 82 kb |
File Type: | docx |