Videos, solutions and examples to help grade 5 students learn how to plot points, using them to draw lines in the plane, and describe patterns within the coordinate pairs.

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Common Core For Grade 5

Lesson 7 Concept Development

Problem 1: Describe patterns in coordinate pairs and name the rule.

1. Complete the chart. Then, plot the points on the coordinate plane below.

a. Use a straightedge to draw a line connecting these points.

b. Write a rule showing the relationship between the x- and y-coordinates of points on the line.

c. Name 2 other points that are on this line.

2. Complete the chart. Then, plot the points on the coordinate plane below.

a. Use a straightedge to draw a line connecting these points.

b. Write a rule showing the relationship between the x- and y-coordinates.

c. Name 2 other points that are on this line.

3. Use the coordinate plane below to answer the following questions.

a. Give the coordinates for 3 points that are on line a.

b. Write a rule that describes the relationship between the x- and y-coordinates for the points on line a.

c. What do you notice about the -coordinates of every point on line b?

d. Fill in the missing coordinates for points on line d.

e. For any point on line c, the x-coordinate is _______.

f. Each of the points lies on at least 1 of the lines shown in the plane above. Identify a line that contains each of the following points.

1. Complete the chart. Then, plot the points on the coordinate plane.

a. Use a straightedge to draw a line connecting these points.

b. Write a rule showing the relationship between the x- and y- coordinates of points on this line.

c. Name two other points that are also on this line.

2. Complete the chart. Then, plot the points on the coordinate plane.

a. Use a straightedge to draw a line connecting these points.

b. Write a rule showing the relationship between the x- and y- coordinates for points on the line.

c. Name two other points that are also on this line.

3. Use the coordinate plane to answer the following questions.

a. For any point on line m, the x- coordinate is ______.

b. Give the coordinates for 3 points that are on line n.

c. Write a rule that describes the relationship between the x- and y-coordinates on line q.

d. Give the coordinates for 3 points that are on line q.

e. Write a rule that describes the relationship between the x- and y-coordinates on line q.

f. For each point, identify a line on which each of these points lie.

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