Modeling Multiplication and Division with Tape Diagrams

Miss Dietrich explains how to use tape diagrams to solve equations, starting with the equation 5n = 45. She first demonstrates solving it algebraically using inverse operations, then illustrates the solution with a tape diagram. The video introduces a second problem, F/3 = 10, and solves it using cross products and a bar model. The video emphasizes understanding both algebraic and visual methods for solving equations.

What operation is the inverse of multiplying a variable by 5?

• Dividing the variable by 5

• Adding 5 to the variable

• Subtracting 5 from the variable

• Multiplying the variable by 5 again

What is the result of dividing 45 by 5?

• 7

• 10

• 8

• 9

What does the tape diagram visually represent in the equation 5e=45?

• The multiplication of 5 by 9

• The division of 45 by 5

• The addition of 9 five times

• All of the above

How many parts does the tape diagram for 5e=45 divide into?

• 9 parts

• 45 parts

• 5 parts

• 10 parts

What does each part of the tape diagram for 5e=45 represent?

• A value of 45

• A value of 5

• A value of 10

• A value of 9

What is the purpose of using a tape diagram in solving equations?

• To complicate the solution process

• To introduce new mathematical operations

• To visually represent the algebraic solution

• To replace algebraic methods

In the equation F/3=10, what operation is used to isolate F?

• Addition

• Subtraction

• Division

• Multiplication

What is the value of F in the equation F/3=10?

• 20

• 30

• 40

• 13

How does the tape diagram for F/3=10 visually represent the solution?

• Both A and C

• By adding 10 three times

• By dividing a bar into 3 equal parts

• By multiplying a bar by 3

What does the longer bar in the tape diagram for F/3=10 represent?

• The division operation

• The value of F

• The value of 3

• The value of 10