Lesson 11 Patterns and Ordered Pairs

    • Let’s graph patterns on the coordinate grid.

Warm-up Notice and Wonder: The Coordinate Grid

What do you notice? What do you wonder?

Coordinate plane. Horizontal axis, 0 to 10, by 2's. Vertical axis, 0 to 10, by 2's. A, 1 comma 7. B, 3 comma 4. C, 5 comma 9. D, 8 comma 4.

Activity 1 Patterns on the Coordinate Grid, Part 1

Problem 1

Partner A

Rule 1: Start at 0. Keep adding 8.

Rule 2: Start at 0. Keep adding 2.

  1. A

    B

    C

    D

    E

    F

    rule 1

    rule 2

    • Which table column represents the point on the coordinate grid? Label the point with the appropriate letter.

    • Plot and label the rest of the points.

    Coordinate plane. Horizontal axis, rule 1, 0 to 44, by 2's. Vertical axis, rule 2, 0 to 10, by 1's. Point plotted at 16 comma 4.

Problem 2

Partner B

Rule 1: Start at 0. Keep adding 10.

Rule 2: Start at 0. Keep adding 40.

  1. Use the rules to complete the table.

    A

    B

    C

    D

    E

    F

    rule 1

    rule 2

    • Which table column represents the point on the coordinate grid? Label the point with the appropriate letter.

    • Plot and label the rest of the points.

    Coordinate plane. Horizontal axis, 0 to fifty, by 5's. Vertical axis, 0 to 2 hundred, by 20's. Point plotted at 10 comma 40.

Activity 2 Patterns on the Coordinate Grid, Part 2

  1. Use the rules to complete the table.

    • Rule 1: Start with 0. Add 2.

    • Rule 2: Start with 0. Add 5.

    A

    B

    C

    D

    E

    F

    Rule 1

    Rule 2

  2. What patterns do you notice between the corresponding terms of the two patterns?

  3. Plot and label the points from the table.

    Coordinate plane. Horizontal axis, rule 1, 0 to 10, by 1's. Vertical axis, rule 2, 0 to fifty, by 5's. 
  4. What does the point tell you about Rule 1 and Rule 2?

Practice Problem

Problem 1

The points on the graph, starting in the bottom left and moving up and to the right, represent how Han and Mai counted.

Coordinate plane. Horizontal axis, Han's count, 0 to 25, by 1's. Vertical axis, Mai's count, 0 to seventy 5, by 5's. 
  1. How much is Han adding each time in his count? Explain how you know.

  2. How much is Mai adding each time in her count? Explain you know.

  3. Name and locate 3 more points on the graph.