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Solve Multi-Step Problems




 


Videos to help Grade 5 students learn how to solve multi-step word problems; assess reasonableness of solutions using benchmark numbers.

Common Core Standards: 5.NF.1, 5.NF.2

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Lesson Plans and Worksheets for Grade 5

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Common Core For Grade 5

New York State Common Core Math Module 3, Grade 5, Lesson 15

Lesson 15 Concept Development
Problem 1
In a race, the second place finisher crossed the finish line 1 1/3 minutes after the winner. The third place finisher was 1 3/4 minutes behind the second place finisher. The third place finisher took 34 2/3 minutes. How long did the winner take?
Problem 2
John used 1 3/4 kg of salt to melt the ice on his sidewalk. He then used another 3 4/5 kg on the driveway. If he originally bought 10 kg of salt, how much does he have left?
Problem 3
Sinister Stan stole 3 3/4 oz of slime from Messy Molly, but his evil plans required 6 3/8 oz of slime. He stole another 2 3/5 oz from Rude Ralph. How much more slime does Sinister Stan need for his evil plan?
Problem 4
Gavin had 20 minutes to do a three-problem quiz. He spent 9 3/4 minutes on question 1 and 3 4/5 minutes on question 2. How much time did he have left for question 3? Write the answer in minutes and seconds.
Problem 5
Matt wants to save 2 1/2 minutes on his 5K race time. After a month of hard training, he managed to lower his overall time from 21 1/5 minutes to 19 1/4 minutes. By how many more minutes does Matt need to lower his race time?





Lesson 15 Homework

This video shows how to solve a multi-step word problem using a model drawing and fractional expressions.
Solve the word problems using the RDW strategy. Show all your work.
1. A baker buys a 5 lb bag of sugar. She uses 1 2/4 lb to make some muffins and and 2 3/4 lb to make a cake. How much sugar does she have left?


Lesson 15 Homework

Solve the word problems using the RDW strategy. Show all your work.
1. A baker buys a 5 lb bag of sugar. She uses 1 2/4 lb to make some muffins and and 2 3/4 lb to make a cake. How much sugar does she have left?
2. A boxer needs to lose 3 1/2 kg in a month to be able to compete as a flyweight. In three weeks, he lowers his weight from 55.5 kg to 53.8 kg. How many kg must the boxer lose in the final week to be able to compete as a flyweight?



 

Lesson 15 Homework

3. A construction company builds a new rail line from Town A to Town B. They complete 1 1/4 miles in their first week of work and 1 2/3 miles in the second week. If they still have 25 3/4 left to build, what is the distance from Town A to Town B?

4. A catering company needs 8.75 lb of shrimp for a small party. They buy 3 2/3 lb of jumbo shrimp, 2 5/8 lb of medium-sized shrimp, and some mini-shrimp. How many pounds of mini-shrimp do they buy?


5. Mark breaks up a 9-hour drive into 3 segments. He drives 2 1/2 hours before stopping for lunch. After driving some more, he stops for gas. If the second segment of his drive was 1 2/3 hours longer than the first segment, how long did he drive after stopping for gas?




Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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