Draw symmetric figures on a coordinate plane.
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The Progressions for the Common Core State Standards in Mathematics, Geometry, K–6 notes that “students solve mathematical and real-world problems using coordinates. For example, they plan to draw a symmetric figure using computer software in which students input coordinates that are then connected by line segments” (pp. 17–18). Thus, you may decide to make this lesson into one using computer software, such as modifying the Desmos activity, Blue Point Rule, to fit within the scope of 5.G.2. But, if computers are not available to the whole class, because there are no released items from the main standardized tests (PARCC, SBAC, NY Regents, MCAS), it’s at your discretion to keep this lesson in the unit.
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The Swiss flag is a perfect square with two lines of symmetry. One part of the Swiss flag, as well as one of its lines of symmetry, m, is shown on the coordinate grid below.
What does the whole flag look like? What are the coordinates of the additional points you drew? Where is its other line of symmetry?
Grade 5 Mathematics > Module 6 > Topic D > Lesson 18 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.Given the following line of symmetry, n, construct a symmetric figure in the plane and record its coordinates below. Explain how you know it is symmetric.
Grade 5 Mathematics > Module 6 > Topic D > Lesson 18 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?
Use the coordinate plane below to answer the question.
Points J, K, and L, combined with additional points that are not shown, create a figure that is symmetric about the line l. What are the coordinates of the additional points?
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