Solve Multi-Step Word Problems using Tape Diagrams

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Lesson Plans and Worksheets for Grade 4
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Examples, videos, and solutions to help Grade 4 students learn to solve multi-step word problems using the standard addition algorithm modeled with tape diagrams and assess the reasonableness of answers using rounding.

Common Core Standards: 4.OA.3, 4.NBT.4, 4.NBT.1, 4.NBT.2

NYS Math Grade 4, Module 1, Lesson 12 Concept Development

Problem 1:
Solve a multi-step word problem using a tape diagram.
The city flower shop sold 14,594 pink roses on Valentine’s Day. They sold 7,857 more red roses than pink roses. How many pink and red roses did the city flower shop sell altogether on Valentine’s Day? Use a tape diagram to show your work. Problem 2:
Solve a two-step word problem using a tape diagram and assess the reasonableness of the answer.
On Saturday, 32,736 more bus tickets were sold than on Sunday. On Sunday, only 17,295 tickets were sold. How many people bought bus tickets over the weekend? Use a tape diagram to show your work. Problem 3:
Solve a multi-step word problem using a tape diagram and assess reasonableness. Last year, Big Bill’s Department Store sold many pairs of shoes: 118,214 pairs of boots were sold; 37,092 more pairs of sandals than pairs of boots were sold; and 124,417 more pairs of sneakers than pairs of boots were sold. How many pairs of shoes were sold last year?

NYS Math Module 1 Grade 4 Lesson 12 Problem Set

Directions: Estimate and then solve each problem. Model the problem with a tape diagram. Explain if your answer is reasonable.
1. For the bake sale, Connie baked 144 cookies. Esther baked 49 more cookies than Connie.
a. About how many cookies did Connie and Esther bake? Estimate by rounding each number to the nearest ten before adding.
b. Exactly how many cookies did Connie and Esther bake?
c. Is your answer reasonable? Compare your estimate from (a) to your answer from (b). Write a sentence to explain your reasoning. 4. During National Recycling Month, Mr. Yardley’s class spent 4 weeks collecting empty cans to recycle.
a. During Week 2, the class collected 1,256 more cans than they did during Week 1. Determine the final count of cans collected by Mr. Yardley’s class at the end of the 4 weeks.

NYS Math Module 1 Grade 4 Lesson 12 Homework

Directions: Estimate and then solve each problem. Model the problem with a tape diagram. Explain if your answer is reasonable.
1. There were 3,905 more hits on the school’s website in January than February. February had 9,854 hits. How many hits did the school’s website have during both months?
a. About how many hits did the website have during January and February?
b. Exactly how many hits did the website have during January and February?
2. On Sunday, 77,098 fans attended a New York Jets football game. The same day 3,397 more fans attended a New York Giants game than the Jets game. How many football fans watched the Jets and Giants play on Sunday?
a. What was the actual number of fans who watched the games?
b. Is your answer reasonable? Round each number to the nearest thousand to find an estimate of how many fans there are.
3. Last year on Ted’s farm, his four cows produced the following liters of milk:
Cow Liters of Milk Produced
Daisy 5,098
Betsy
Mary 9,980
Buttercup 7,087
a. Betsy produced 986 more liters of milk than Buttercup. How many liters of milk did all 4 cows produce?