Proportions Part B: Word Problems

Proportions:
Word Problems

Learning Objective: I can solve problems using equivalent ratios and proportions. (6.RP.A.3)

Our Learning Journey

Agenda

• Warm - up

• Learn the Skill

• Guided Practice

• Independent Practice

• Exit Ticket

• Error Analysis Activity

• Menu Work

Check for Understanding - Review

​What is a Ratio?
How do you determine if two ratios are equivalent?
What operations can you use to make an equivalent ratio?
How do you decide which terms to cross-multiply when solving a proportion?

Multiple Choice

Solve the proportion.

• 12.5

• 14

• 15

• 10

Multiple Choice

Solve the proportion.

• 12.5

• 14

• 15

• 10

How can you use equivalent ratios to solve real-world problems, such as those involving proportions in cooking or resizing images?

Turn and Talk

Turn and Talk

​How could you use equivalent ratios to help you solve this word - problem?

Kameron took a total of 30 quizzes over a course of 6 weeks. How many many quizzes would Kameron take a total after 8 weeks of classes?

Draw

Kameron took a total of 30 quizzes over a course of 6 weeks. How many quizzes would Kameron take after 8 weeks of classes?

Draw

Kameron took a total of 30 quizzes over a course of 6 weeks. How many quizzes would Kameron take after 8 weeks of classes?

Draw

Martell can shoot 36 basketballs in 1 hour. How many basketballs can Martell shoot in 3 hours?

TURN AND SHARE

​SHARE a strategy for explaining your reasoning when presenting a solution involving equivalent ratios or proportions.

Draw

Ameer edits 6 Tiktok videos in 2 hours. How many videos can Ameer edit in 4 hours?

TURN AND SHARE

DISCUSS a mistake someone might make when solving a ratio or proportion problem and how it can be corrected.

Draw

Egypt earns $5.50 an hour delivering newspapers. How much money can Egypt earn after 16 hours?

Multiple Choice

The ratio of boys to girls is 3 to 2. If there are 12 boys, how many girls are there?

• 8

• 16

• 4

• 11

Multiple Choice

In a certain apartment building, the ratio of people to cars is 3:5. If there are 30 people, how many cars are there?

• 35

• 18

• 50

• 60

Poll

How are you feeling about solving problems using equivalent ratios and proportions?

• Red - Stop

• Yellow - Slow Down

• Green - Go

Fill in the Blanks

Exit Ticket: Brandon needs 14 sticks of pepperoni to make 28 pizzas.  How many sticks of pepperoni are needed to make 36 pizzas?  

Error Analysis - Paint Color

• Read the problem as a group

• Look at how the student did his work.

• Identify the error or problem.

• Solve the problem correctly and share strategy.

​​Group 1

​Error Analysis - Typing Rate

• Read the problem as a group

• Look at how the student did his work.

• Identify the error or problem.

• Solve the problem correctly and share strategy.

​​Group 2

M.SOTO

"Whenever you say, 'I don't know,' I say, 'Great! That is what learning is all about.'"