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Numerical Expressions and Word Problems




 


Videos to help Grade 5 students learn how to create story contexts for numerical expressions and tape diagrams, and solve word problems.

New York State Common Core Math Module 4, Grade 5, Lesson 33

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

Related Topics:
Lesson Plans and Worksheets for Grade 5

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Common Core For Grade 5

Lesson 33 Problem Set

1. Ms. Hayes has 1/2 liter of juice. She distributes it equally to 6 students in her tutoring group.
a. How many liters of juice does each student get?
b. How many more liters of juice will Ms. Hayes need if she wants to give each of the 24 students in her class the same amount of juice found in Part (a)?

(Homework) 1. Chase volunteers at an animal shelter after school, feeding and playing with the cats.
a. If he can make 5 servings of cat food from a third of a kilogram of food, how much does one serving weigh?
b. If Chase wants to give this same serving size to each of 20 cats, how many kilograms of food will he need?

(Homework) 3. Ms. Geronimo has a $10 gift certificate to her local bakery.
a. If she buys a slice of pie for $2.20 and uses the rest of the gift certificate to buy chocolate macaroons that cost $0.60 each, how many macaroons can Ms. Geronimo buy?
b. If she changes her mind and instead buys a loaf of bread for $4.60 and uses the rest to buy cookies that cost 1 1/2 times as much as the macaroons, how many cookies can she buy?

4. Studies show that a typical giant hummingbird can flap its wings once in 0.08 of a second.
a. While flying for 7.2 seconds, how many times will a typical giant hummingbird flap its wings?
b. A ruby-throated hummingbird can flap its wings 4 times faster than a giant hummingbird. How many times will a ruby-throated hummingbird flap its wings in the same amount of time?

(Homework) 2. Anouk has 4.75 pounds of meat. She uses a quarter pound of meat to make one hamburger.
a. How many hamburgers can Anouk make with the meat she has?
b. Sometimes Anouk makes sliders. Each slider is half as much meat as is used for a regular hamburger. How many sliders could Anouk make with the 4.75 pounds?

(Homework) 4. Create a story context for the following expressions.
a. (5 1/2 - 2 1/8) ÷ 4
b. 4 × (4.8/0.8)

5. Create a story context for the following tape diagram.






Lesson 33 Homework

This video shows how to use tape diagrams to solve complex fractional and decimal word problems.

1. Chase volunteers at an animal shelter after school, feeding and playing with the cats.

a. If he can make 5 servings of cat food from a third of a kilogram of food, how much does one serving weigh?
b. If Chase wants to give this same serving size to each of 20 cats, how many kilograms of food will he need?

3. Ms. Geronimo has a $10 gift certificate to her local bakery.

a. If she buys a slice of pie for $2.20 and uses the rest of the gift certificate to buy chocolate macaroons that cost $0.60 each, how many macaroons can Ms. Geronimo buy?

b. If she changes her mind and instead buys a loaf of bread for $4.60 and uses the rest to buy cookies that cost 1 1/2 times as much as the macaroons, how many cookies can she buy?


Lesson 33 Homework

1. Chase volunteers at an animal shelter after school, feeding and playing with the cats.
a. If he can make 5 servings of cat food from a third of a kilogram of food, how much does one serving weigh?

b. If Chase wants to give this same serving size to each of 20 cats, how many kilograms of food will he need?




 

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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