Graph Ordered Pairs on a Coordinate Plane

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1 Graph Ordered Pairs on a Coordinate Plane Student Probe Plot the ordered pair (2, 5) on a coordinate grid. Plot the point the ordered pair (-2, 5) on a coordinate grid. Note: If the student correctly plots the point (2, 5), move to the second probe. A student who correctly plots the ordered pair (2, 5), but does not correctly plot (-2, 5) should begin the lesson at Step 11. Lesson Description This lesson addresses two standards, CC.5.G.1 and CC.6.NS.8. Steps 1-9 focus on using ordered pairs in Quadrant I. Steps expand the focus to all four quadrants. In both cases, students are expected to understand how the coordinates give directions to a location in the plane. Rationale Graphing is one of the most powerful tools of mathematical representation, serving as a bridge between algebra and geometry. The ability to create and interpret graphs greatly enhances students capacity to be successful in subsequent mathematical studies. Conversely, students who fail to master graphing techniques will encounter significant difficulty as the math they study becomes more complex. Preparation Have grid paper with numbered number lines and clearly labeled x- and y-axes for each student. At a Glance What: Graphing the ordered pairs on a coordinate plane Common Core State Standard: CC.6.NS.6c. Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. (c) Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane. Mathematical Practices: Attend to precision. Who: Students who cannot locate a point on a coordinate grid when given an ordered pair. Grade Level: 6 Prerequisite Vocabulary: origin, x-axis, y- axis Prerequisite Skills: integers Delivery Format: Individual, pairs, or small group Lesson Length: 15 minutes Materials, Resources, Technology: Coordinate grid paper Student Worksheets: none

2 Lesson The 1. When given directions to a location, you need to know where you are starting from, and how to go from there to get to the desired location. We need to know the same information when we graph points. 2. When working with ordered pairs, the first number tells the left to right, or horizontal The second number tells the up and down, or vertical, 3. When plotting points using ordered pairs, our starting point is always (0, 0). Can you locate (0, 0) on the coordinate grid? 4. Now let s locate the point with coordinates (1, 3). We start at (0, 0). The first number, 1, tells us to move 1 unit to the right, because it is positive. The second number tells us to move three units up, because it is positive. 5. Locate the point with coordinates (1, 3) on your grid. Label 6. Show us where the ordered pair (1, 3) is located. intersection of the x- and y- axes. Students should indicate a point 1 unit to the right of (0, 0) and 3 units up. If you were going to paint a wall, would you want to move your ladder first, or climb it and then try to move it? Indicate and label the location. Model for students. If student goes right 3 and up 1, ask: If you were going to paint a wall, would you want to move your ladder first, or climb it and then try to move it?

3 The 7. Locate the ordered pair (3, 5) 8. Locate the ordered pair (2, 1) 9. Locate the ordered pair (4, 2) Graphing Points in Quadrants II-IV. 10. When working with ordered pairs, the first number tells the left to right, or horizontal movement, and the second number tells the up and down or vertical 11. Now let s locate the point with coordinates (-1, 3). We start at (0, 0). The first number, -1, tells us to move 1 unit to the left, because it is negative. The second number tells us to move three units up, because it is positive. 12. Locate the point with coordinates (-1, 3) on your grid. Label Students should indicate a point 1 unit to the left of (0, 0) and 3 units up. Model for students.

4 The 13. Show us where the ordered pair (-1, 3) is located. 14. Locate the ordered pair (3, -5) 15. Locate the ordered pair (-2, - 1) on your coordinate grid. Label 16. Locate the ordered pair (4, 2) correct point in Quadrant II. correct point in Quadrant IV. correct point in Quadrant III. correct point in Quadrant I. If student goes right 3 and down 1, ask: If you were going to paint a wall, would you want to move your ladder first, or climb it and then try to move it? Teacher Notes 1. Students frequently use the first coordinate to give a vertical movement instead of horizontal. 2. This lesson is in two parts. Steps 1-9 address only Quadrant I. Steps address all four quadrants. Variations 5 th grade Repeat Steps 1-9 using additional points in Quadrant I for students to practice locating the points on the coordinate grid. 6 th grade Repeat Steps using additional points with varying positive and negative values.

5 Formative Assessment Describe how to locate the point represented by (3, 4). Describe how to locate the point represented by (-3, -5). Answer: Student should indicate knowledge of starting at the origin and having the first coordinate give the count and direction of the horizontal movement, and the second coordinate give the count and direction of the vertical References Mathematics Preparation for Algebra. (n.d.). Retrieved April 26, 2011, from Doing What Works

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