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Common Core: Math
CCLS - Math: G.SRT.1
- Similarity, Right Triangles, And Trigonometry
- Understand Similarity In Terms Of Similarity Transformations
- State Standard:
- Verify experimentally the properties of dilations given by a center and a scale factor:
- In Lesson 11, students examine the effects of dilating figures from two different centers. By experimental verification, they examine the impact on the two dilations of having two different scale...
- Student Outcomes Students divide a line segment into equal pieces by the Side Splitter and Dilation Methods. Students know how to locate fractions on the number line.
- Student Outcomes Students prove that dilations map an angle to an angle with equal measure. Students understand how dilations map triangles, squares, rectangles, trapezoids, and regular polygons.
- In Grade 8, students informally showed that a dilation maps a segment to a segment on the coordinate plane. The lesson includes an opening discussion that reminds students of this fact. Next,...
- In the last lesson, students learned about the triangle side splitter theorem, which is now used to prove the dilation theorem. In Grade 8 students learned about the fundamental theorem of...
- Student Outcomes Students prove that a dilation maps a ray to a ray, a line to a line and a circle to a circle.
- Student Outcomes Students review the properties of basic rigid motions. Students understand the properties of dilations and that a dilations is also an example of a transformation of the plane.
- Students study and prove the properties of dilations.
- Student Outcomes Students create scale drawings of polygonal figures by the Parallel Method. Students explain why angles are preserved in scale drawings created by the Parallel Method using the...
- Student Outcomes Students create scale drawings of polygonal figures by the Ratio Method. Given a figure and a scale drawing from the Ratio Method, students answer questions about the scale factor...
- Student Outcomes Students review properties of scale drawings and are able to create them.
- Students revisit what scale drawings are and discover two systematic methods of how to create them using dilations. The comparison of the two methods yield the Triangle Side Splitter Theorem and the...
- Geometry Module 2: Similarity, Proof, and Trigonometry Just as rigid motions are used to define congruence in Module 1, so dilations are added to define similarity in Module 2. To be able to discuss...