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...
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...
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
Page 2 of 24
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
Page 3 of 24
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: _____________
Page 4 of 24
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?
Page 5 of 24
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
Page 6 of 24
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?
Page 7 of 24
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_____________________
Grade 5 - Lesson 2 Introductory Task
Page 8 of 24
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?
Grade 5 - Lesson 2 Guided Practice
Name____________________________ Date_____________________
Page 9 of 24
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?
Page 10 of 24
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?
Grade 5 - Lesson 2 Homework
Name____________________________ Date_____________________
Page 11 of 24
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?
Page 12 of 24
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
Grade 5 - Lesson 3 Introductory Task
Page 13 of 24
1. 2/3 x 3/5 =
2. 4/5 x 3/7 =
Grade 5 - Lesson 3 Guided Practice
Name____________________________ Date_____________________
Use the grid to find the solution.
Page 14 of 24
3. 1/2 x 3/4 =
4. 2/6 x 1/4 =
5. 1/5 x 1/2 =
6. 3/4 x 2/5 =
Page 15 of 24
7. 1/2 x 1/4 =
8. 5/6 x 3/4 =
9. 2/5 x 1/2 =
10.. 3/4 x 4/5 =
Page 16 of 24
1. 2/3 x 4/5 =
2. 3/5 x 2/5 =
3. 1/2 x 9/10 =
Grade 5 - Lesson 3 Homework
Name____________________________ Date_____________________
Use the grid to find the solution.
Page 17 of 24
4. 5/6 x 3/4 =
5. 3/5 x 2/3 =
6. 3/4 x 1/5 =
Page 18 of 24
7. 1/2 x 1/4 =
8. 1/6 x 3/4 =
9. 4/5 x 1/2 =
10. 3/4 x 4/9 =
Page 19 of 24
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?
Grade 5 - Lesson 4 Introductory Task
Name____________________________ Date_____________________
Journal Question
What happens to a fraction that
is multiplied by another
fraction? Explain why.
Page 20 of 24
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 =
Grade 5 - Lesson 4 Guided Practice
Name____________________________ Date_____________________
Page 21 of 24
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 =
Page 22 of 24
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 =
Grade 5 - Lesson 4 Homework
Name____________________________ Date_____________________
Page 23 of 24
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 =
Page 24 of 24
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_____________________