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Reflection Activity Objective:

Reflection Activity Objective:

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Reflection Activity Objective:

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  1. Reflection Activity Objective: This is an activity for the students to explore a coordinate plane and to understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes. As students work through the activity, you can lead the discussion and understanding of graphing points in all four quadrants, use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate, statements of inequalities and symmetry. Instruction: (Use the coordinate planes in the Reflection Activity Grid power point.) • Instruct the students to complete the picture on the grid (slide #2). They should try to make it as exact as possible. Allow them time to work on this with as little instruction as possible. Conduct a math meeting for students to explain how they solved this problem. (Slide #3 is an illustration of the reflection.) • Using the blank grid (slide #4), ask the students to create a picture/figure on one side of the y-axis. When they are finished, swap grids with another student to create a reflection of their drawing. Ask the students how they solved it differently or more efficiently. If needed, introduce the concept of coordinate plane, quadrants, x and y axis, and coordinate pairs. (Slide #8 can be used to help illustrate.) • Practice plotting coordinate pairs on the coordinate plane. (Use slide #6.) You can project the coordinate plane on a whiteboard or overhead to plot the points with the students. Extensions: (using slides #5, #6, and #7 as needed) • Students can create figures and then find reflections across the x-axis. • Find reflections in all four quadrants. • Using coordinate pairs, develop instructions for another student to create a plot graph picture. • Discuss how absolute values are used to find the distances in the opposite quadrant. • Discuss and find the distance between points on the coordinate plane. • Discuss the properties of symmetry.

  2. y x

  3. y x

  4. y x

  5. y x

  6. y 8 -1 1 -1 7 -2 2 -2 -3 6 3 -3 -4 5 4 -4 4 -5 5 -5 -6 3 6 -6 -7 2 7 -7 -8 1 8 -8 0 x

  7. y Coordinate Plane I II (-,+) (+,+) x (+,-) (-,-) III IV

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