Lesson 7.2

Module 7 Lesson 2

Learning Goal:
I will learn and explain how to solve problems with proportions.

CA CC 6.RP.3b

Vocabulary Flash Cards 7.1-7.2:

Unit- Single Item
Pattern-Numbers that Follow A Rule
Conversion Factor- A Rate That Compare two Equivalent Measurements
Scale-describes how the dimensions in the actual object compare to the dimensions in the
drawing.
Visual Representation- An accurate depiction(picture) of a given Problems Mathematical
quantities and Relationships
Ordered pairs- A Set of numbers that tells us where to find a point on a coordinate grid. The
First Number Represents a Value on the x-axis and the second number represents the value on the
y-axis.
A Proportion- a statement that two ratios or rates are equivalent.

CA CC 6.NS.3, 3a, 3b

CA CC 6.RP.3b

How can I solve problems using proportions?

I can solve problems using proportions by writing a proportion that
includes one unknown quantity. Find equivalent ratios or rates to
find the unknown quantity.

Open Ended

Write an equivalent ratio to 1/2.

CA CC 6.RP.3b

“Laura is making rice. For every cup of rice, she adds 2 cups of
water. What is the ratio of rice to water? Give the ratio as a fraction.
Write an equivalent ratio to show how much water Laura will need if
she uses 4 cups of rice.”

Multiple Choice

Laura is making rice. For every cup of rice, she adds 2 cups of water. What is the ratio of rice to water? Give the ratio as a fraction. Write an equivalent ratio to show how much water Laura will need if she uses 4 cups of rice

• 1/2 = 3/6

• 1/2 = 4/8

• 1/2 = 2/4

• 2/1 = 8/4

CA CC 6.RP.3b

“Sheldon and Leonard are partners in a business. Sheldon makes $2
in profits for every $5 that Leonard makes. If together they make a
profit of $28 on the first item they sell, how much profit does
Sheldon make?”

The students in our class are ordering pizza for a party. They plan
to order 2 cheese pizzas for every 3 pepperoni pizzas they order.
How many cheese pizzas will they order if they order a total of 25
pizzas?

CA CC 6.RP.3b

Dropdown

The students in our class are ordering pizza for a party. They plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order. How many cheese pizzas will they order if they order a total of 25 pizzas? Fill in the missing proportions to solve how many cheese pizzas you will have.

Cheese pizza​

Select answer

=​​

Select answer

Cheese Pizza

Total Pizza ​

Select answer

= ​

Select answer

Total Pizza

The distance Ali runs in 40 minutes is shown on the pedometer. At
this rate, how far can he run in 60 minutes?

CA CC 6.RP.3b

Write a proportion. ________ time distance __________ 40 minutes 3
miles = __________ 60 minutes miles ________ time distance 60 is
not a multiple of 40. So, there is no whole number by which you can
multiply 3 miles to find miles. You can use division to find a
multiplier.

CA CC 6.RP.3b

CA CC 6.RP.3b

Multiple Choice

What is a scale drawing?

• A drawing of a real object that is proportionally smaller or larger than the real object

• A measurement between to pictures.

• Proportions of weight between two drawings.

• A drawing with a ratio that is between to measurements.

CA CC 6.RP.3b

Multiple Choice

The distance between Sandville and Lewiston is shown on the map. What is the actual distance between the towns?

• 40

• 25

• 50

• 75

Multiple Choice

How can you solve problems with proportions?

• I can solve problems using proportions by finding equivalent ratios or rates to find the unknown quantity.

• I can solve problems using ratios and rates. Equivalent fractions will help me find all proportions.

• I can solve problems using proportions by writing a proportion that includes one unknown quantity. Find equivalent ratios or rates to find the unknown quantity.

• I can solve problems using scales and scale drawings. Then find equivalent ratios or rates to find the unknown proportion.

Turn to Page
Page 182-183

Learning Goals:
I will learn and explain how to solve problems with proportions.

CA CC 6.RP.3a