# Create a Rule to Generate a Number Pattern

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Videos, solutions, worksheets, and examples to help grade 5 students learn how to create a rule to generate a number pattern, and plot the points.

### New York State Common Core Math Module 6, Grade 5, Lesson 12

Lesson 12 Homework

1. Write a rule for the line that contains the points (0, 4) and (2 1/2, 2 3/4).
a. Identify 2 more points on this line, then draw it on the grid below.
b. Write a rule for a line that is parallel to BC and goes through point (1, 2 1/4)
2. Give the rule for the line that contains the points (1, 2 1/2), (2 1/2, 2 1/2)
a. Identify 2 more points on this line, then draw it on the grid above.
b. Write a rule for a line that is parallel to GH.
3. Give the rule for a line that contains the point (3/4, 1 1/2), using the operation or description below. Then, name 2 other points that would fall on each line.
a. Addition: _________
b. A line parallel to the x-axis: _________
c. Multiplication: _________
d. A line parallel to the y-axis: _________
e. Multiplication with addition: ________

(Problem Set) 4. Mrs. Boyd asked her students to give a rule that could describe a line that contains the point (0.6, 1.8). Avi said the rule could be multiply by 3. Ezra claims this could be a vertical line, and the rule could be is always 0.6. Erik thinks the rule could be add 1.2 to Mrs. Boyd says that all the lines they are describing could describe a line that contains the point she gave. Explain how that is possible, and draw the lines on the coordinate plane to support your response.

(Homework)
4. On the grid, two lines intersect at (1.2, 1.2). If line a passes through the origin, and line b contains the point at (1.2,0), write a rule for line a and line b.

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