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2 -5: Learning Goals

Learn about dilations in the coordinate plane and their applications to polygons on a rectangular grid. Explore the concepts through problem solving and identification of dilations. Download for free at openupresources.org.

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2 -5: Learning Goals

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  1. Download for free at openupresources.org. 2-5: Learning Goals • Let’s look at dilations in the coordinate plane.

  2. Download for free at openupresources.org. 2-5-1: Many Dilations of a Triangle All of the triangles are dilations of Triangle D. The dilations use the same center P, but different scale factors. What do Triangles A, B, and C have in common? What do Triangles E, F, and G have in common? What does this tell us about the different scale factors used?

  3. 2-5-2: Dilations Problem Card Data Card • Silently read your card and think about what information you need to answer the question. • Ask your partner for the specific information that you need. • Explain to your partner how you are using the information to solve the problem. • Solve the problem and explain your reasoning to your partner. • Silently read the information on your card. • Ask your partner “What specific information do you need?” and wait for your partner to ask for information. Only give information that is on your card. (Do not figure out anything for your partner!) • Before telling your partner the information, ask “Why do you need that information?” • After your partner solves the problem, ask them to explain their reasoning and listen to their explanation. Pause here so your teacher can review your work. Ask your teacher for a new set of cards and repeat the activity, trading roles with your partner.

  4. Download for free at openupresources.org. 2-5: Lesson Synthesis

  5. Download for free at openupresources.org. 2-5: Learning Targets • I can apply dilations to polygons on a rectangular grid if I know the coordinates of the vertices and of the center of dilation.

  6. Download for free at openupresources.org. 2-5-3: Identifying a Dilation The smaller triangle is dilated to create the larger triangle. The center of dilation is plotted, but not labeled. Describe this dilation. Be sure to include all of the information someone would need to perform the dilation.

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