Ratios and Proportions Problems

Mrs. Hasner introduces a lesson on finding equivalent ratios for grade six students using Eureka Math. The lesson includes solving problems by finding equivalent ratios, such as vehicle registrations and creating tape diagrams. Students are guided through classwork and homework problems, including scenarios involving campers, faculty, and ski resorts. The video emphasizes understanding ratios, creating equivalent ratios, and using tape diagrams for visualization.

What is the ratio of passenger cars to pickup trucks registered in the county?

• 5 to 7

• 7 to 5

• 5 to 12

• 12 to 5

How many passenger cars were registered if the total registrations were 192?

• 80

• 112

• 96

• 64

What is the total number of parts in the tape diagram for the vehicle registration problem?

• 12

• 16

• 5

• 7

What is the first step in finding equivalent ratios?

• Add the numbers

• Subtract the smaller number

• Divide by the total

• Multiply by a common factor

If the ratio of boy campers to girl campers is 8 to 7, how many boy campers are there if the total is 195?

• 84

• 104

• 91

• 104

What is the student-to-faculty ratio at the college?

• 17 to 3

• 3 to 17

• 20 to 1

• 1 to 20

In the camp problem, what is the value of each box in the tape diagram?

• 13

• 17

• 15

• 19

How many snowboarders bought season passes if there are 1250 more snowboarders than skiers?

• 5000

• 3750

• 2500

• 1250

What is the ratio of adults to students at the prom?

• 10 to 1

• 1 to 10

• 1 to 5

• 5 to 1

How many adults attended the prom if there were 477 more students than adults?

• 4770

• 530

• 53

• 477