Exploring Tape Diagrams in 7th Grade Math

What are the two main objectives of the lesson?

• Understanding fractions and decimals

• Solving quadratic equations

• Converting between tape diagrams and equations

• Learning about geometry and algebra

If a school has 46 books and the library takes 26, how many books are left to be distributed among 4 teachers?

• 10

• 15

• 20

• 5

How would you represent the remaining books distributed among 4 teachers using a tape diagram?

• 46 total, 26 to library, 4 boxes labeled X

• 46 total, 20 to library, 4 boxes labeled X

• 46 total, 20 to library, 3 boxes labeled X

• 46 total, 26 to library, 3 boxes labeled X

In the problem with increased weight in boxes, how much weight is added to each box?

• 5 grams

• 7 grams

• 9 grams

• 11 grams

How would you model the increased weight in each box using a tape diagram?

• X + 5

• X + 7

• X + 11

• X + 9

What is the equation for 3x + 15 = 25 in a tape diagram?

• Three boxes of X, add 15, total 25

• Four boxes of X, add 15, total 25

• Three boxes of X, add 10, total 25

• Four boxes of X, add 10, total 25

How would you write the equation for a tape diagram with 24 + 4x = 60?

• 24 + 6x = 60

• 24 + 5x = 60

• 24 + 4x = 60

• 24 + 3x = 60

If you have a total of 60 and take away 24, what is left?

• 32

• 34

• 36

• 30

How can you represent 4 groups of (3 + X) in an equation?

• 3(4 + X) = 40

• 4(3 + X) = 40

• 4(3 + X) = 44

• 3(4 + X) = 44

What is the total value if you add 3, 3, 3, and 3?

• 13

• 12

• 11

• 10