Unit 2Ratio and Proportional Relationships

Lesson 5AGraphing

7.RP.2/ MP: 1-4

Do Now• There are 9 red gumdrops, 10 yellow

gumdrops, and 15 orange gumdrops in a bag. What is the ratio of orange gumdrops to red gumdrops in the bag?

• Is 3 12 a true proportion? 5 20 • Solve for x: 8 6 12 x

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Let’s Go Over Homework Answers

WB Pg 11 #20-27

DO NOW

1. There are 9 red marbles, 5 yellow marbles, and 12 blue marbles in a bag. What is the ratio of blue marbles to red marbles in the bag?

2. Is 4 16 a true proportion? 5 20 3. Solve for x: 6 = 8 12 x

Objective:

• Students will graph relationships on a coordinate plane and determine if a relationship is proportional.

(2, 3)

(x, y)

The sign of a number indicates which direction to move. Positive: up or right Negative: down or left

Helpful Hint

x

y

origin

(2, 3)X: move right 2 units

Y: move up 3 units

(0, 0)

Quadrant IQuadrant II

Quadrant III Quadrant IV

Review: Graphing on a Coordinate Plane

• Ms. Umstetter is planning a year-end pizza party for her students.• Cascarino’s Pizza is offering free delivery and charges $8 per medium

pizza.

• 1) complete the table to determine the cost for different numbers of pizzas ordered.

• Pizza 1• Cost ($) 8 16

• 2) Write the relationship of the cost and number of pizzas as a ratio in simplest form

• 3) What do you notice about the simplified ratios?• 4) Graph the chart on a coordinate plane and connect the points. Describe

the graph. • 5) Is the relationship proportional?

Graph

Notes

• Another way to determine whether two quantities are proportional is to graph the quantities on the coordinate plane.

• If the graph of the two quantities is a straight line through the origin, then the two quantities are proportional.

• CW: WB pg 17

• HW: Rates & Ratios 2 Wksht