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1-6: Learning Goals

Discover how to transform polygons through translations, reflections, and rotations in the coordinate plane. Learn to find rotation centers, apply sequences of transformations, and communicate transformation details effectively. Engage in interactive problem-solving activities to enhance your understanding of geometric transformations. Download free resources from openupresources.org for comprehensive learning.

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1-6: Learning Goals

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  1. Download for free at openupresources.org. 1-6: Learning Goals • Let’s transform some polygons in the coordinate plane.

  2. Download for free at openupresources.org. 1-6-1: Finding the Center of Rotation Andre performs a 90-degree counterclockwise rotation of Polygon P and gets Polygon P’, but he does not say what the center of the rotation is. Can you find the center?

  3. Download for free at openupresources.org. 1-6-2: Transformation Information 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. 1-6-2: Transformation Information Practice Round Problem Card - Teacher; Data Card - Student Triangle A’B’C’ is the image of ABC after some transformations.

  5. Download for free at openupresources.org. 1-6: Lesson Synthesis • translation • reflection • rotation

  6. Download for free at openupresources.org. 1-6: Learning Targets • I can apply transformations to a polygon on a grid if I know the coordinates of its vertices.

  7. Download for free at openupresources.org. 1-6-3: Describing a Sequence of Transformations Jada applies two transformations to a polygon in the coordinate plane. One of the transformations is a translation and the other is a reflection. What information does Jada need to provide to communicate the transformations she has used?

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