7th Grade Math Chapter 5 Graphs

Name: ___________________________ Period: _______

Common Core State Standards

CC.7.RP.1 - Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

CC.7.RP.2 - Recognize and represent proportional relationships between quantities.

Scope and Sequence Day 1 Lesson 5-1 & 5-2 Day 6 Lesson 5-4

Day 2 Quiz Day 7 Review Day 1

Day 3 Lesson 5-3 Day 8 Review Day 2

Day 4 Lesson 5-3 Day 9 Chapter Test

Day 5 Lesson 5-4

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IXL Modules

SMART Score of 80 is required Due the day of the exam

Lesson 1-2 7.P.1 Points on coordinate graphs

7.P.2 Quadrants and axes

7.P.3 Coordinate graphs as maps

Lesson 3-4 7.W.1 Find the slope from a graph

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Lesson 5-1

The Coordinate Plane

Warm-Up

A coordinate plane a plane containing a ____________ number line, the x-axis and a

____________ number line, the y-axis. The ____________ of these axes is called the origin.

The axes divide the coordinate-plane into ____________ regions called quadrants, which are

number I, II, III and IV.

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Examples: Identifying Quadrants on a Coordinate Plane

Identify the quadrant that contains each point.

A. S

B. T

C. W

A. N

B. X C. Y

Points on a coordinate plane are identified by ordered pairs. An ordered pair consists of two

numbers in a ____________ order. The ____________ is the point (0, 0).

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Examples: Plotting Points on a Coordinate Plane

Plot each point on a coordinate plane.

A. D (3, 3)

B. E (-2, -3)

C. F (3, -5)

A. D (4, 4)

B. E (-2, 3)

C. F (-1, -2)

Examples: Identifying Points on a Coordinate Plane

Give the coordinates of each point.

A. X

B. Y

C. Z

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A. L

B. M

C. N

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Lesson 5-2

Interpreting Graphs

Warm-Up

Examples: Relating Graphs to Situations

The height of a tree increases over time, but not at a constant rate. Which graph best shows this.

The dimensions of the basketball court have changed over the years. However, the height of the basket has not changed. Which graph best shows this?

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Examples: Problem Solving Application

Jarod parked his car in the supermarket parking lot at walked 40 ft. into the store and to the customer service counter, where he waited in line to pay his electric bill. Jarod then walked 60 ft. to the back of the store to get 2 gallons of milk and walked 50 ft. to the checkout near the front of the store to pay for them. After waiting his turn and paying for the milk, he walked back 50 ft. to his car. Sketch a graph to show Jarod’s distance from his car over time. Use your graph to find the total distance traveled.

Darcy traveled 22 miles from her house to the Peterman’s house where she babysat for 1 hour. After babysitting, she traveled 8 miles to the deli to buy a sandwich. After eating her sandwich, she returned home. Sketch a graph to show Darcy’s distance from her house over time. Use your graph to find the total distance traveled.

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Lesson 5-3

Slope and Rates of Change The slope of a line is a measure of its ____________ and is the ratio of rise to run.

If a line rises from left to right, its slope is ____________.

If a line falls from left to right, its slope is ____________.

Examples: Identifying the Slope of the Line

Tell whether the slope is positive or negative. Then find the slope.

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Examples: Using Slope and a Point to Graph a Line

Use the slope -2 and the point (1, –1) to graph the line.

Use the slope ½ and the point (-1, -1) to graph the line.

Use the slope -⅔ and the point (2, 0) to graph the line.

Use the slope ¼ and the point (-2, 0) to graph the line.

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The ratio of two quantities that ____________, such as slope, is a rate of change.

A constant rate of change describes changes of the ____________ amount during equal

intervals.

A variable rate of change describes changes of a ____________ amount during equal intervals.

The graph of a constant rate of change _____ a line and the graph of a variable rate of change

is _____ a line.

Examples: Identifying Rates of Change in Graphs

Tell whether each graph shows a constant or variable rate of change.

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Examples: Using Rate of Change to Solve Problems

The graph shows the distance the butterfly travels over time. Tell whether the graph shows a constant or variable rate of change. Then find how fast the butterfly is traveling.

The graph shows the distance a jogger travels over time. Is he traveling at a constant or variable rate. How fast is he traveling.

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Lesson 4-4

Similar Figures and Proportions

Warm-Up

Direct Variation is a ____________ relationship between two variables that can be written in

the form y = kx or k = y/x, where k does not equal 0. The fixed number k in a direct

variation equation is the constant of variation.

Examples: Identifying a Direct Variation from an Equation Tell whether each equation represents a direct variation. If so, identify the constant of variation.

y + 8 = x

3y = 2x

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y + 3 = 3x

4y = 3x

Examples: Identifying a Direct Variation from a Table

Tell whether each set of data represents a direct variation. If so, identify the constant of

variation and then write the direct variation equation.

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Examples: Identifying a Direct Variation from a Graph

Tell whether each graph represents a direct variation and then write the direct variation equation.

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Examples: Application

A truck travels at a speed of 55 miles per hour. Write a direct equation for the distance y the truck travels x hours.

A bicycle travels at a speed of 12 miles per hour. Write a direct variation equation for the distance y the bike travels in x hours.

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