Proportion Word Problems

Reorder

Order the steps to solve a proportion.

• cross multiply

• set the cross products equal to each other

• isolate the variable by dividing the coefficient to both sides

• Check to see if both ratios are equivalent

1

2

3

4

• 1
• 2
• 3
• 4

Learning Target:

I can solve real-world word problems using proportions.

​An Olympic marathon runner can run at a pace of 2 miles in 10.4 minutes. How many minutes will it take him to run the entire marathon of 26.2 miles? Show your work.

​Solve Word Problems using proportions

• Annotate the word problem for relevant information.

• What is the problem asking you to solve?

• Can you set up a proportion?

​Steps to the Solutions

Draw

Annotate the Problem.

Open Ended

What is the question asking you to solve for?

Multiple Choice

Which of the following is the proportion that represents the problem?

Draw

Solve the proportions.

Multiple Choice

x = 136.24 represents what unit of measure?

• minutes

• miles

• minutes per mile

• miles per minute

Draw

Practice: Solve the problem using proportions

Draw

Work in Groups: Solve the problem using proportions

Open Ended

Which student is correct? Explain your reasoning.

Poll

How do you feel about solving word problems using the proportion method?

• Level 4

  🤓 I understand and can help others.

• Level 3

  😎 I have a good understand but still make minor mistakes.

• Level 2

  🧐 I have some understanding but still need support.

• Level 1

  😕 I am still struggling and need to be taught again.

Learning Target
I can determine if a relationship is proportional and solve proportions by using cross multiplication.

Multiple Choice

Turn and Talk: Does the relationship between pounds of apples and the cost proportional?

• Yes, because it does not have a constant value for each set of ratio.

• No, because the ratios are equivalent.

• Yes because the ratios have a constant value .

• No because the ratios are not equivalent.

Open Ended

Jacob uses 2 $$\frac{1}{2}$$ teaspoons of cinnamon to make 3 dozen cookies. How many teaspoons does Jacob need to make 180 cookies?

Which student is correct? Explain your reasoning.

(Vocabulary: Use proportion, equivalent ratio, variable, and/or coefficient to explain your answer.)

Draw

Set up a proportion to solve for x.

Complete Exit Ticket 2-3

Google Classroom

Early finishers will sign in to Zearn and complete a lesson.

Students who need more support will work with Mr. Torres.