Tape Diagram- Drawing that looks like a segment of tape, used to illustrate number relationships. Examples of Tape Diagram Two hundred seventy-three vehicles were parked in a parking lot. One-third of the vehicles were trucks. How many trucks were in the 273 vehicles parking lot?
Solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers.
Think: If there are 7 crackers, you could give each boy 3 crackers. Then take the last cracker and split it in half and give each boy one of the halves. Regg
Gabe
7
Or you could split all the crackers in half first, and then share. How many halves doProduct we have to share in all? 14 halves
Regg
Factor
Gabe
Share them equally with each boy. How many crackers did each boy get? Each boy would get 7 halves. Although the crackers were shared in units of one-half, what is the total amount of crackers each boy receives? 3 whole crackers and ½ of another cracker. Division Equation: 7 ÷ 2 = Unit Form:
7 2
1
=32
14 halves ÷ 2 = 7 halves
Each boy would get 3 ½ crackers.
=
7 crackers
Application Problems Using a picture, show how friends Sally, Adam, and Mandy could share two candy bars. Write an equation, solve, and check. 1 Strategy: Draw two tape diagrams since there are 2 candy bars. Divide each candy bar into 3 equal parts and then share among the three friends.
1
Adam
Sally
Mandy
Sally
Adam
Mandy
Unit Form: 6 thirds ÷ 3 = 2 thirds
= = 2 candy bars
Mark ran a total of 5 miles in 3 days. If Mark runs the same distance every day, how many miles does he run each day? To solve this problem use a tape diagram.
Algorithm
5 miles
Check:
1 3 5 -3 2
We know that 3 units are equal to 5 miles. We want to know what 1 unit is equal to.
2
2
=1 +1 +1
2
= 3 +
?
= 3 + 2
3 units = 5
= 5 miles
1 unit = 5 ÷ 3 = =
2
American Cookie Company uses 6 cups of chocolate chips to make 8 batches of mini chocolate chip cookies. If each batch uses the same amount of chocolate chips, how many cups of chocolate chips are used? (Solve using drawing, algorithm, and check your answer.) 6 cups shared equally in 8 batches of cookies
Using a picture, show how friends Sally, Adam, and Mandy could share two candy bars. Write an equation, solve, and check. 1 1. Mark ran a total of 5 miles in 3 ...
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