Multiples of Mixed Numbers

Homework
Hello Students and Parents. Students will begin Chapter 8 this week. Student will learn to
multiply a whole number by a unit fraction, multiply a whole number by a fraction, multiply a
mixed number by a whole number and complete comparison problems with fractions. Students
will complete the Chapter 8 Quiz on Thursday December 1, 2016
Students have access to 2 Think Central assignments which review Chapter 8. While the
lessons are not mandatory, they will help your child review the lessons. Please feel free to
contact me with any questions or concerns at [email protected].
i-Ready - Please check your child’s agenda for the number of lessons required for a homework
grade. The completed lessons are due Sunday night. Students must complete a quiz at the
end of each i-Ready lesson in order to receive credit for completion. REMINDER – Students
will receive a Quiz Grade every 4 weeks based on i–Ready completion.
Notes
Students MUST underline key words in the word problem and MUST prove and show all their
work. *Please use your Journal Notes to help guide you in solving the problem.
Monday
November 28th
– 8.1 (2 pages)
Tuesday
November 29th
– No Homework – Field Trip
Wednesday
November 30th
– 8.2 (2 pages)
Thursday
December 1st
– 8.3 (2 pages)
Friday
November 5th
– 8.4 (2 pages)
Parents please initial below each day acknowledging your child has completed the assigned homework. Completed
homework packets will be checked daily and collected on Monday December 5th for a letter grade.
Monday
28th
November
Tuesday
29h
November
Wednesday
30th
November
Thursday
1st
December
Friday
2nd
December
Name:__________________________________ Section: ____________________
Name___________________________
Date __________________
Problem Solving – Multiples of Unit Fractions
Problem
Solving
8.1
!
Read and solve.
1.! Write the fraction as a product of a whole 2.! Write the fraction as a product of a whole
number and a unit fraction.
number and a unit fraction.
Example:
"
#
!! = %!x!
'
&(
&
#
!=
3.! Write the fraction as a product of a whole 4.! Write the fraction as a product of a whole
number and a unit fraction.
number and a unit fraction.
&&
&)
*
+
=
=
5.! List the next four multiples of the unit 6.! List the next four multiples of the unit
fraction.
fraction.
&
,
&
#
=
=
7.! List the next four multiples of the unit 8.! List the next four multiples of the unit
fraction.
fraction.
&
+
&
)
=
=
,
"
9.! Dylan has finished reading of his book. 10.! Ms. Diana buys gallon of white paint.
"
#
He read the same number of pages each
She put the same amount of paint in 5
day for 4 days. What fraction of the book
buckets. How much paint did she put into
did he read each day?
each bucket?
11.! Sarah walks from home to work each 12.! Mike wants to write + !!as a product of
&)
day and back home each evening. In total,
a whole number and a unit fraction.
)
Sarah walks +!!mile each day. How far
Which expression should he choose?
&
)
does Sarah live from work?!
a.! !!+ ! !!
&)
&)
b.
3!!+ !&.!!
c.
&
3!!x !&)
!!
Lesson 8.1
Enrich
Name
Mixed Numbers and Unit Fractions
Write each mixed number as the product of a whole number
and a unit fraction.
1.
__
11
3
2.
__
31
2
3.
3
1__
5
4.
__
23
8
5.
__
33
4
6.
__
52
3
7.
__
42
5
8.
__
51
5
9.
Explain how you found the answer in Exercise 1.
Chapter Resources
© Houghton Mifflin Harcourt Publishing Company
8-6
Enrich
Name___________________________
Date __________________
Problem Solving – Multiples of Fractions
Read and solve.
1.! List the next four multiples of the fraction.
!
"
3.! List the next four multiples of the fraction.
"
%
2.! List the next four multiples of the fraction.
#
$
=
=
4.! List the next four multiples of the fraction.
&
'(
=
Problem
Solving
8.2
!
=
5.! Write the product as the product of a 6.! Write the product as the product of a
whole number and a unit fraction.
whole number and a unit fraction.
)*x*
!
%
=
,*-*
.
'(
*=
7.! Write the product as the product of a whole 8.! Write the product as the product of a
number and a unit fraction.
whole number and a unit fraction.
/*-*
#
"
0
8 x* !
=
=
9.! Maria is baking 5 loaves of pumpkin bread. 10.! Angel is conducting three science fair
She needs
&
%
cup of sugar for each loaf.
'
Her measuring cup can only hold . How
%
many times will Maria fill her measuring
cup to make the 5 loaves?
11.!
!
#
*-liter bottles with
'
His measuring cup only holds *#
Aiden is filling eight
water.
liter. How many times will Aiden need to
fill the measuring cup to fill the eight
bottles?
!
experiments that need needs
#
tablespoons of salt for each experiement.
'
He only has a measuring teaspoon.
#
How many times will Angel fill his
teaspoon to complete the three
experiments?
0(
12.!
Lisa wrote the fraction
as a
!
product of a whole number and a unit
fraction. What did Lisa write?
Lesson 8.2
Enrich
Name
Multiples of Mixed Numbers
List the next three multiples of the mixed number. Write each
multiple as a mixed number or as a whole number.
1.
__
11
8
2.
__
21
2
3.
2
1__
3
4.
__
21
3
5.
__
31
5
6.
__
11
4
7.
__
13
5
8.
__
23
4
9.
Describe a method other than multiplication that
you can use to find the next three multiples of the mixed number in
Exercise 7.
Chapter Resources
© Houghton Mifflin Harcourt Publishing Company
8-8
Enrich
Name___________________________
Date __________________
Problem Solving – Multiply a Fraction by a
Whole Number
Read and solve.
1.! Multiply.
Example:
"
#
3 x!!! =
Problem
Solving
8.3
!
2.! Multiply.
%&
#
3.! Multiply.
'
5 x &%
!=
4.! Multiply.
9 x ()!=
'
7 x &*
!=
5.! Multiply.
6.! Multiply.
6 x +,!=
4 x %+!=
+
,
7.! Luis runs mile each day. How many 8.! Mike walks ( mile each day to school.
)
miles will he run in eight days?
How many miles will he walk in 2 weeks?
,
%
9.! Kaitlyn uses cup of sugar for each pan 10.! Carlos gained pound each month for
#
+
of brownies. How many cups of sugar will
seven months. How much did Carlos
she use for nine pans of brownies?
grow in seven months?
"
%
11.! Alejandra mixes pound fertilizer for 12.! Mike used &%!!cups of flour for a
+
each gallon of water. How much fertilizer
loaf of bread. How many cups of flour
does Alejandra mix if she used nine
does Mike need if he is making 8 loaves of
gallons of fertilizer?
bread?
!
Lesson 8.3
Enrich
Name
Fraction of a Whole Number
Find the product. Write the product as a whole number.
1
1. __
3 24 5
2
2. __
3 15 5
3
3. __
3 10 5
4
4. __
3 14 5
5
5. __
3 18 5
3
6. __
3 16 5
2
7. __
3 27 5
7
8. __
3 32 5
8
5
6
9
3
7
4
8
9
9. ___
3 50 5
4
10. __
3 45 5
5
11. ___
3 60 5
8
12. __
3 54 5
10
12
13.
5
9
Explain how you can tell if the product of a fraction
and a whole number will be a whole number.
Chapter Resources
© Houghton Mifflin Harcourt Publishing Company
8-10
Enrich
Name___________________________
Date __________________
Problem Solving – Multiply a Mixed Number a
Whole Number
Problem
Solving
8.4
!
Read and solve.
1.! Multiply. Write the product as a mixed 2.! Multiply. Write the product as a mixed
number.
number.
Example:
3 x!!!1#$ = 4!'$
2 x 2 '$!=
3.! Multiply. Write the product as a mixed 4.! Multiply. Write the product as a mixed
number.
number.
9 x 1()!=
)
3 x 2+,
!=
5.! Multiply. Write the product as a mixed 6.! Multiply. Write the product as a mixed
number.
number.
6 x 1)#!=
4 x ()!=
+
)
7.! Lorrena runs 2 mile each day. How 8.! Jill walks 1. mile each day to the park.
How many miles will she walk in six days?
many miles will she run in five days?
9.! Giselle uses 313 cup of flour for each loaf 10.! Lucy is 1( times as tall as Isabella.
)
of bread. How many cups of flour will she
Isabella is three feet tall. How tall is Lucy?
use for nine loaves of bread?
)
11.! Alex watched a movie that was 3 12.! Mike has soccer practice on Monday,
.
Wednesday and Friday. If each practice
hour long over the weekend. If Alex
.
is
2
!!hours long, how many hours will he
watched the movie four times, how many
#
hours did Alex watch the movie?
have practice this week?
!
Lesson 8.4
Enrich
Name
Unknown Numbers
Find the unknown number that makes each equation true.
1.
3.
5.
1
3 5 2__
3 __
4
4
2.
3
4 3 __ 5 1__
5
5
5
5 1__
9
4.
23
73
1
55 9 __
3 1__
6
6
6.
2
1 5 6 __
__
3
3
5
2 5 13 __
3 2__
7
7
Explain how you found the unknown number in
7.
Exercise 3.
Chapter Resources
© Houghton Mifflin Harcourt Publishing Company
8-12
Enrich