G6 m3-c-lesson 16-s

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Information about G6 m3-c-lesson 16-s

Published on February 26, 2014

Author: mlabuski

Source: slideshare.net

Lesson 16 NYS COMMON CORE MATHEMATICS CURRICULUM 6•3 Lesson 16:Symmetry in the Coordinate Plane Classwork Opening Exercise Give an example of two opposite numbers and describe where the numbers lie on the number line. How are opposite numbers similar and how are they different? Example 1: Extending Opposite Numbers to the Coordinate Plane Extending Opposite Numbers to the Coordinates of Points on the Coordinate Plane Locate and label your points on the coordinate plane to the right. For each given pair of points in the table below, record your observations and conjectures in the appropriate cell. Pay attention to the absolute values of the coordinates and where the points lie in reference to each axis. Lesson 16: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Symmetry in the Coordinate Plane 2/26/14 S.59 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 59

Lesson 16 NYS COMMON CORE MATHEMATICS CURRICULUM and and 6•3 and Similarities of Coordinates Differences of Coordinates Similarities in Location Differences in Location Relationship between Coordinates and Location on the Plane Lesson 16: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Symmetry in the Coordinate Plane 2/26/14 S.60 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 60

6•3 Lesson 16 NYS COMMON CORE MATHEMATICS CURRICULUM Exercise In each column, write the coordinates of the points that are related to the given point by the criteria listed in the first column of the table. Point has been reflected over the - and -axes for you as a guide and its images are shown on the coordinate plane. Use the coordinate grid to help you locate each point and its corresponding coordinates. Given Point: y Reflected across the -axis. . L . S x Reflected across the -axis. . A . M Reflected first across the -axis then across the -axis. Reflected first across the -axis then across the -axis. a. When the coordinates of two points are Explain. and what line of symmetry do the points share? b. When the coordinates of two points are Explain. and , what line of symmetry do the points share? Lesson 16: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Symmetry in the Coordinate Plane 2/26/14 S.61 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 61

Lesson 16 NYS COMMON CORE MATHEMATICS CURRICULUM 6•3 Problem Set 1. Locate a point in Quadrant IV of the coordinate plane. Label the point A and write its ordered pair next to it. a. b. Reflect point over an axis so that its image is in Quadrant II. Label the image and write its ordered pair next to it. Which axis did you reflect over? What is the only difference in the ordered pairs of points and ? How does the ordered pair of point C relate to the ordered pair of point ? c. 2. Reflect point over an axis so that its image is in Quadrant III. Label the image and write its ordered pair next to it. Which axis did you reflect over? What is the only difference in the ordered pairs of points and ? Reflect point so that it image is in Quadrant I. Label the image and write its ordered pair next to it. Which axis did you reflect over? How does the ordered pair for point compare to the ordered pair for point ? How does the ordered pair for point compare to points and ? Bobbie listened to her teacher’s directions and navigated from the point to She knows that she has the correct answer but, she forgot part of the teacher’s directions. Her teacher’s directions included the following: “Move units down, reflect about the ? -axis, move up units, then move right units.” Help Bobbie determine the missing axis in the directions, and explain your answer. Lesson 16: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Symmetry in the Coordinate Plane 2/26/14 S.62 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. 62

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