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Generate a Pattern from a Given Rule and Plot the Points




 

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

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Common Core For Grade 5

New York State Common Core Math Module 6, Grade 5, Lesson 8


Lesson 8 Concept Development

Problem 1: Create coordinate pairs from rules.
a. y is equal to x
b. y is 1 more than x
c. y is 5 times x
d. y is 1 more than 3 times x
e. y is 1 less than 2 times x



Lesson 8 Problem Set

1. Create a table of 3 values for x and y such that each y-coordinate is 3 more than the corresponding x-coordinate.
a. Plot each point on the coordinate plane.
b. Use a straightedge to draw a line connecting these points.
c. Give the coordinates of 2 other points that fall on this line with x-coordinates greater than 12.

2. Create a table of 3 values for x and y such that each y-coordinate is 3 times as much as its corresponding x-coordinate.
a. Plot each point on the coordinate plane.
b. Use a straightedge to draw a line connecting these points.
c. Give the coordinates of 2 other points that fall on this line with y-coordinates greater than 25.

3. Create a table of 5 values for and such that each y-coordinate is 1 more than 3 times as much as its corresponding x value.
a. Plot each point on the coordinate plane.
b. Use a straightedge to draw a line connecting these points.
c. Give the coordinates of 2 other points that
would fall on this line whose x-coordinates are greater than 12.

4. Use the coordinate plane below to complete the following tasks.
a. Graph the lines on the plane.
b. Which two lines intersect? Give the coordinates of their intersection.
c. Which two lines are parallel?
d. Give the rule for another line that would be parallel to the lines you listed in (c).


 
Lesson 8 Homework

1. Complete this table such that each y-coordinate is 4 more than the corresponding x-coordinate.
a. Plot each point on the coordinate plane.
b. Use a straightedge to construct a line connecting these points.
c. Give the coordinates of 2 other points that fall on this line with -coordinates greater than 18.
3. Use the coordinate plane below to complete the following tasks.
a. Graph these lines on the plane.
b. Do any of these lines intersect? If yes, identify which ones, and give the coordinates of their intersection.
c. Are any of these lines parallel? If yes, identify which ones.
d. Give the rule for another line that would be parallel to the lines you listed in (c).


Lesson 8 Homework

2. Complete this table such that each y-coordinate is 2 times as much as its corresponding x-coordinate.
a. Plot each point on the coordinate plane.
b. Use a straightedge to draw a line connecting these points.
c. Give the coordinates of 2 other points that fall on this line with y-coordinates greater than 25.


 

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