Videos, examples, and solutions to help grade 5 students learn how to generate two number patterns from given rules, plot the points, and analyze the patterns.

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Common Core For Grade 5

### New York State Common Core Math Grade 5, Module 6, Lesson 9

Lesson 9 Concept Development

Problem 1: Graph two lines described by addition rules on the same coordinate plane, and compare/contrast them.

Problem 2: Graph 2 lines described by multiplication rules on the same coordinate plane, and compare and contrast them. Lesson 9 Problem Set

1. Complete the table for the given rules.

Line a

Rule: y is 1 more than x

Line b

Rule: y is 4 more than x

a. Construct each line on the coordinate plane above.

b. Compare and contrast these lines.

c. Based on the patterns you see, predict what line c, whose rule is 7 more than x would look like.

Draw your prediction on the plane above.

2. Complete the table for the given rules for values 0, 3, 7, and 9.

Line e

Rule: y is twice as much as x

Line f

Rule: y is half as much as x

a. Construct each line on the coordinate plane above.

b. Compare and contrast these lines.

c. Based on the patterns you see, predict what line g, whose rule is 4 times as much as x would look like. Draw your prediction in the plane above.

Lesson 9 Homework

1. Complete the table for the given rules.

Rule: y is 1 less than x

Rule: y is 5 less than x

a. Construct each line on the coordinate plane.

b. Compare and contrast these lines.

c. Based on the patterns you see, predict what line c, whose rule is 7 less than x would look like. Draw your prediction on the plane above.

2. Complete the table for the given rules for values 0, 3, 4, and 6.

a. Construct each line on the coordinate plane.

b. Compare and contrast these lines.

c. Based on the patterns you see, predict what line g, whose rule is 4 times as much as x, and line h, whose rule is one-fourth as much as x, would look like. Draw your prediction in the plane above.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Related Topics:

Lesson Plans and Worksheets for Grade 5

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 5

Common Core For Grade 5

Problem 1: Graph two lines described by addition rules on the same coordinate plane, and compare/contrast them.

Problem 2: Graph 2 lines described by multiplication rules on the same coordinate plane, and compare and contrast them. Lesson 9 Problem Set

1. Complete the table for the given rules.

Line a

Rule: y is 1 more than x

Line b

Rule: y is 4 more than x

a. Construct each line on the coordinate plane above.

b. Compare and contrast these lines.

c. Based on the patterns you see, predict what line c, whose rule is 7 more than x would look like.

Draw your prediction on the plane above.

2. Complete the table for the given rules for values 0, 3, 7, and 9.

Line e

Rule: y is twice as much as x

Line f

Rule: y is half as much as x

a. Construct each line on the coordinate plane above.

b. Compare and contrast these lines.

c. Based on the patterns you see, predict what line g, whose rule is 4 times as much as x would look like. Draw your prediction in the plane above.

1. Complete the table for the given rules.

Rule: y is 1 less than x

Rule: y is 5 less than x

a. Construct each line on the coordinate plane.

b. Compare and contrast these lines.

c. Based on the patterns you see, predict what line c, whose rule is 7 less than x would look like. Draw your prediction on the plane above.

2. Complete the table for the given rules for values 0, 3, 4, and 6.

a. Construct each line on the coordinate plane.

b. Compare and contrast these lines.

c. Based on the patterns you see, predict what line g, whose rule is 4 times as much as x, and line h, whose rule is one-fourth as much as x, would look like. Draw your prediction in the plane above.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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