Grade 5 - nps.k12.nj.us · 6. 3/4 x 1/2 = 7. 7/8 x 4/5 = 8. 1/2 x 1/3 = 9. 4/5 x 7/9 = 10. 7/9 x...

Grade 5 Number and Operations - Fractions

5.NF.4

2012 COMMON CORE STATE STANDARDS ALIGNED MODULES

THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS

THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS

2012 COMMON CORE STATE STANDARDS ALIGNED MODULES

Student Pages

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Tim really needs to start exercising. So, he plans to run 3/5 of a mile every weekday. If he keeps this schedule,

how far will Tim run in one week? Explain your answer with words, pictures, or mathematical calculations.

Journal Question

Why does a whole number get

smaller when multiplied by a

fraction? Draw a picture to

explain your answer.

Grade 5 - Lesson 1 Introductory Task

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1. Isabel had 6 feet of wrapping paper. She used 3/5 of the paper to wrap some presents. How much does

she have left?

2. Kelly had 12 pencils in her pencil case. She lent out 2/3 of them to her friends. How many pencils did

she let her friends borrow?

3. Manny’s mom gave him $20 to spend on lunch for the week. He used 1/8 of it on Monday. How much

did he have left for the rest of the week?

Grade 5 - Lesson 1 Guided Practice

Name: __________________________ Date: _____________

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6. 3/4 x 2 =

7. 7/8 x 9 =

8. 1/2 x 5 =

9. 4/5 x 3 =

10. 7/9 x 3 =

11. 2/3 x 5 =

4. Sarah is reading a 150 page book. She read 4/5 of the books already? How many pages did she read so

far?

5. Nicole baked 24 cupcakes. Her friends came over and ate 5/6 of them. How many does she have left?

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1. Isabel had 12 feet of wrapping paper. She used 2/3 of the paper to wrap some presents. How much does

she have left?

2. Kelly had 48 pencils in her pencil case. She lent out 2/3 of them to her friends. How many pencils did

she let her friends borrow?

3. Manny’s mom gave him $20 to spend on lunch for the week. He used 1/3 of it on Monday. How much

did he have left for the rest of the week?

Name____________________________ Date_____________________

Grade 5 - Lesson 1 Homework

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6. 3/4 x 6 =

7. 7/8 x 12 =

8. 1/2 x 8 =

9. 4/5 x 9 =

10. 7/9 x 4 =

11. 2/3 x 10 =

4. Sarah is reading a 100 page book. She read 3/5 of the books already? How many pages did she read

so far?

5. Nicole baked 20 cupcakes. Her friends came over and ate 3/4 of them. How many does she have left?

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Mr. Oliveira posed a Math question to his class. It stated, “Three-fourths of the class are boys. Two-thirds of

the boys are wearing tennis shoes. What fraction of the class are boys with tennis shoes?” Solve the problem

and provide an explanation that would help a classmate understand your thinking.

Journal Question

In your own words, describe

what happens when you multiply

a fraction by a fraction. Use

pictures to illustrate your point.

Name____________________________ Date_____________________


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1. 1/2 of the monkeys in the zoo are female. 1/3 of them are pregnant. What fraction of the monkeys in

the zoo are pregnant?

2. Manny has a board that is 7/8 of a ft. long. He cut it in half. What is the length of the two sections?

3. Kelly has ¼ of a gallon of milk left in her refrigerator. She drank ¼ of it. What fraction of a gallon of

milk is left in the refrigerator?


Name____________________________ Date_____________________

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6. 3/4 x 1/2 =

7. 7/8 x 4/5 =

8. 1/2 x 1/3 =

9. 4/5 x 7/9 =

10. 7/9 x 1/4 =

11. 2/3 x 7/10 =

4. Stewart used 3/6 of a can of oil to fix a squeaky hinge. He used ½ of what was left over to oil his bike.

How much oil does he have left in the can?

5. Nicole baked a lot of cupcakes, but her daughter ate half. Her friends came over and ate 3/4 of what

was left. What fraction of cupcakes does she have left?

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1. 3/4 of the turtles in the aquarium are female. 1/3 of them are pregnant. What fraction of the turtles in

the aquarium are pregnant?

2. Manny has a board that is 11/12 of a ft. long. He cut it in half. What is the length of the two sections?

3. Kelly has 1/2 of a gallon of milk left in her refrigerator. She drank 3/4 of it. What fraction of a gallon

of milk is left in the refrigerator?


Name____________________________ Date_____________________

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6. 1/4 x 1/2 =

7. 9/11 x 4/5 =

8. 2/5 x 1/3 =

9. 6/7 x 7/9 =

10. 3/4 x 1/4 =

11. 6/7 x 7/10 =

4. Stewart has a1/2 a bottle of soda. He drank 1/3 of it. What fraction of the bottle of soda does he have

left?

5. Bill has 5/7 of a candy bar. He gave his friend ½ of it. What fraction of the candy bar does he still

have left?

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A gardener is going to plant tomatoes and other vegetables in his backyard. The gardener will only use 2/3 of

his backyard for planting and only 1/4 of that area will be for the tomatoes. What fractional part of the

backyard will be used to plant tomatoes?

Journal Question

If the area of a rectangle is

equal to base × height, then

what would the area be for the

following rectangle?

b =2/3 ft. h = 7 ft


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1. 2/3 x 3/5 =

2. 4/5 x 3/7 =


Name____________________________ Date_____________________

Use the grid to find the solution.

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3. 1/2 x 3/4 =

4. 2/6 x 1/4 =

5. 1/5 x 1/2 =

6. 3/4 x 2/5 =

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7. 1/2 x 1/4 =

8. 5/6 x 3/4 =

9. 2/5 x 1/2 =

10.. 3/4 x 4/5 =

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1. 2/3 x 4/5 =

2. 3/5 x 2/5 =

3. 1/2 x 9/10 =


Name____________________________ Date_____________________

Use the grid to find the solution.

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4. 5/6 x 3/4 =

5. 3/5 x 2/3 =

6. 3/4 x 1/5 =

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7. 1/2 x 1/4 =

8. 1/6 x 3/4 =

9. 4/5 x 1/2 =

10. 3/4 x 4/9 =

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Joel went to the deli counter of the supermarket and ordered the following:

½ lb of ham

¼ lb of swiss cheese

¼ lb of cheddar cheese

½ lb of turkey

He used exactly 1/3 of each of the ingredients to make sandwiches for his brother and himself.

How much of each item was left after he made the sandwiches?


Name____________________________ Date_____________________

Journal Question

What happens to a fraction that

is multiplied by another

fraction? Explain why.

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Multiply.

1.

1/3 x 2/4 =

2.

2/3 x 5/6 =

3.

2/5 x 3/10 =

4.

6/7 x 1/8 =

5.

2/5 x 2/3 =

6.

6/11 x 3/8 =


Name____________________________ Date_____________________

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7.

4/5 x 1/6 =

8.

8/9 x 3/10 =

9.

2/3 x 1/3 =

10.

¾ x ¼ =

11.

5/7 x ½ =

12.

1/6 x ¾ =

13.

6/9 x 1/12 =

14.

2/3 x 3/12 =

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Multiply 1.

1/3 x 2/9 =

2.

2/3 x 5/7 =

3.

2/9 x 3/10 =

4.

6/7 x 1/3 =

5.

4/5 x 2/3 =

6.

6/11 x 3/15 =


Name____________________________ Date_____________________

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7.

4/5 x 1/16 =

8.

8/9 x 3/4 =

9.

1/3 x 1/3 =

10.

¾ x ¾ =

11.

6/7 x ½ =

12.

5/6 x ¾ =

13.

6/10 x 1/12 =

14.

2/7 x 3/12 =

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Parent Volunteers Mrs. Smith and Mrs. Jones both volunteer in their children’s classrooms. Mrs. Smith volunteers every 3rd

school day for 1/3 of a day. Mrs. Jones volunteers every 5th day of school for 1/2 of a day. In a given month,

which parent spends more time volunteering?!

Journal Question

Why do fractions play an important

role in our daily lives? Provide at

least three examples of how you use

math outside of school.

Grade 5 - Lesson 5 Golden Problem

Name____________________________ Date_____________________

Grade 5 - nps.k12.nj.us · 6. 3/4 x 1/2 = 7. 7/8 x 4/5 = 8. 1/2 x 1/3 = 9. 4/5 x 7/9 = 10. 7/9 x...

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Transcript of Grade 5 - nps.k12.nj.us · 6. 3/4 x 1/2 = 7. 7/8 x 4/5 = 8. 1/2 x 1/3 = 9. 4/5 x 7/9 = 10. 7/9 x...