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Understanding Ordered Pairs and Coordinate Graphing for Students

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This lesson helps students learn to graph ordered pairs on a coordinate plane. Using a seating chart as a relatable example, students will discover that the position of ordered pairs, such as (3,2) and (2,3), matters. They will identify points representing various desks, learn to find the x and y coordinates in ordered pairs, and determine the quadrants in which specific points lie. By the end, students will be equipped with essential skills for graphing, making it engaging and practical.

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Understanding Ordered Pairs and Coordinate Graphing for Students

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  1. ObjectiveThe student will be able to: graph ordered pairs on a coordinate plane. Designed by Skip Tyler, Varina High School

  2. In the beginning of the year, I created a seating chart for my classes. I created 5 rows of desks with 4 desks in each row. Brian sits in the third row at the second desk (3,2) and Dwanda sits in the second row at the third desk (2,3). Are these seats the same? No!! The seats (3,2) and (2,3) are called ordered pairsbecause the order in which the pair of numbers is written is important!!

  3. Who is sitting in desk (4,2)? 4 A B C D E N F G H I J 3 K L M N O 2 A P Q R S T 1 1 2 3 4 5

  4. Ordered pairs are used to locate points in a coordinate plane. y-axis (vertical axis) 5 5 -5 x-axis (horizontal axis) -5 origin (0,0)

  5. In an ordered pair, the first number is the x-coordinate. The second number is the y-coordinate.Graph. (-3, 2) 5 • 5 -5 -5

  6. What is the ordered pair for A? 5 • A • (3, 1) • (1, 3) • (-3, 1) • (3, -1) 5 -5 -5

  7. What is the ordered pair for B? 5 • (3, 2) • (-2, 3) • (-3, -2) • (3, -2) 5 -5 • B -5

  8. What is the ordered pair for C? 5 • (0, -4) • (-4, 0) • (0, 4) • (4, 0) 5 -5 • C -5

  9. What is the ordered pair for D? 5 • (-1, -6) • (-6, -1) • (-6, 1) • (6, -1) 5 -5 • D -5

  10. Write the ordered pairs that name points A, B, C, and D. A = (1, 3) B = (3, -2) C = (0, -4) D = (-6, -1) 5 • A 5 -5 • D • B • C -5

  11. The x-axis and y-axis separate the coordinate plane into four regions, called quadrants. II (-, +) I (+, +) III (-, -) IV (+, -)

  12. Name the quadrant in which each point is located(-5, 4) • I • II • III • IV • None – x-axis • None – y-axis

  13. Name the quadrant in which each point is located(-2, -7) • I • II • III • IV • None – x-axis • None – y-axis

  14. Name the quadrant in which each point is located(0, 3) • I • II • III • IV • None – x-axis • None – y-axis

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