Exploring Ratios and Tape Diagrams

The video tutorial introduces tape diagrams as a tool for solving complex ratio problems. It begins with a review of a marble ratio problem, demonstrating how to use tape diagrams to find the number of blue marbles when given the number of red marbles. The tutorial then presents a new problem involving the ratio of male to female passengers on a BART train, using tape diagrams to determine the number of female passengers. The video emphasizes the visual benefits of tape diagrams in understanding and solving ratio problems.

What is the ratio of red to blue marbles in Susan's bag?

• 5 to 7

• 6 to 5

• 5 to 6

• 7 to 5

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

If there are 54 red marbles, how many blue marbles are there?

• 40

• 50

• 35

• 45

Tags

CCSS.4.NBT.B.6

How many pieces of tape represent the red marbles in the tape diagram?

• 6

• 7

• 5

• 8

Tags

CCSS.3.OA.B.6

What does each piece of tape represent if there are 54 red marbles?

• 8 marbles

• 11 marbles

• 9 marbles

• 10 marbles

Tags

CCSS.1.NBT.B.2B

CCSS.1.NBT.B.2C

What is the ratio of male to female passengers on Mr. Rags' BART train?

• 3 to 5

• 5 to 3

• 4 to 3

• 3 to 4

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

How many total passengers are there on the BART train?

• 28

• 29

• 26

• 27

Tags

CCSS.1.NBT.A.1

How many pieces of tape represent the total number of passengers?

• 7

• 8

• 9

• 6

Tags

CCSS.1.NBT.A.1

What does each piece of tape represent if there are 28 passengers?

• 5 passengers

• 4 passengers

• 3 passengers

• 6 passengers

How many female passengers are there on the BART train?

• 12

• 11

• 13

• 10

What should you use to solve similar problems for homework?

• Line graphs

• Bar graphs

• Pie charts

• Tape diagrams

Tags

CCSS.7.EE.B.3