Understanding Equivalent Ratios and Fractions

Lesson 6 focuses on solving problems by finding equivalent ratios. The lesson explains how changes in quantities affect ratios and demonstrates methods to find equivalent ratios using multiplication and division. A real-world problem involving hotel room occupancy is solved using tape diagrams. Students are instructed to work in groups to create a poster and present their findings.

What is the main focus of Lesson 6?

• Understanding fractions

• Solving problems using equivalent ratios

• Learning about percentages

• Exploring geometric shapes

How can you find an equivalent ratio using multiplication?

• By converting the ratio to a fraction and multiplying by a form of one

• By subtracting a constant from both numbers

• By adding a constant to both numbers

• By dividing the ratio by a common factor

What is the purpose of converting a ratio into a fraction when using multiplication?

• To make it easier to work with

• To change the ratio completely

• To simplify the ratio

• To make it easier to add

How do you find an equivalent ratio using division?

• By converting the ratio to a fraction and dividing by a common factor

• By multiplying both numbers by a common factor

• By subtracting a constant from both numbers

• By adding a constant to both numbers

What is a common factor of 5 and 20?

• 5

• 2

• 3

• 4

In the hotel room problem, what is the ratio of occupied to unoccupied rooms on Saturday night?

• 5:2

• 2:5

• 1:6

• 6:1

How many occupied rooms are there on Sunday night in the hotel problem?

• 600

• 500

• 432

• 360

What is the purpose of using a tape diagram in the hotel room problem?

• To change the ratio

• To solve the problem using algebra

• To create a visual representation of the problem

• To make the problem more complex

What should be included in the group activity poster?

• Only the problem statement

• Just the tape diagram

• A list of unrelated math problems

• A tape diagram, problem statement, explanation, and names

What is the final task for students after completing their poster?

• Present it to the class

• Submit it online

• Email it to the teacher

• Leave it on their desk