Lesson plan

# 4. Extend understanding of opposites as points reflected across the x or y axis. (C)

teaches Common Core State Standards CCSS.Math.Content.6.G.A.3 http://corestandards.org/Math/Content/6/G/A/3
teaches Common Core State Standards CCSS.Math.Content.6.NS.C.6 http://corestandards.org/Math/Content/6/NS/C/6
teaches Common Core State Standards CCSS.Math.Content.6.NS.C.6b http://corestandards.org/Math/Content/6/NS/C/6/b
teaches Common Core State Standards CCSS.Math.Content.6.NS.C.6c http://corestandards.org/Math/Content/6/NS/C/6/c
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Lesson objective: Extend understanding of opposites as points reflected across the x or y axis.

Students bring prior knowledge of graphing points on the coordinate plane from 6.NS.C.6. This prior knowledge is extended to reflecting points as students give coordinates of points reflected across the the x and y axes. A conceptual challenge students may encounter is visualizing the reflected point across the correct axis and naming its coordinates according to the (x, y) convention.

The concept is developed through work with plotting reflected points on coordinate planes across each axis, which allows students to see how reflected points are "folded" evenly across each axes.

This work helps students deepen their understanding of opposites and absolute value because they are able to see these depicted on the coordinate plane as they create rectangles that are reflected evenly over the x and y axes.

Students engage in Mathematical Practice 7 (look for and make use of structure) as they apply their knowledge of coordinate pairs, how they relate to opposites and their position on the coordinate plane.

Key vocabulary:

• absolute value
• coordinate plane
• opposites
• Quadrant I, II, III & IV

Special materials needed:

• scrap blank coordinate planes
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• 4. Extend understanding of opposites as points reflected across the x or y axis. (C)