NYS Math Module 1
Lesson 16
I can…
divide by exponents 5.NBT.2
find the quotient 5.NBT.7
Objective: Solve word problems using decimal
operations.
Divide by Exponents
**8 minutes**
On your mark,
get set,
GO!
Find the Quotient
0.3 ÷ 2 = 0.15
_____
On your place value chart, draw 3 tenths in number disks.
5 ___ hundredths
3 tenths ÷ 2 =30
___ hundredths ÷ 21= ___ tenths
Now solve using an algorithm. 0.15
2 0.30
-0 2
10
- 10
0
Solve using an algorithm.
0.9 ÷ 5 = 0.18
_____
0.18
5 0.90
-0 5
40
- 40
0
Solve using an algorithm.
0.58 ÷ 4 =0.145
_____
0.145
4 0.580
-0 4
0 18
- 16
20
-2 0
0
Solve using an algorithm.
6.7 ÷ 5 = 1.34
_____
1.34
5 6.70
-5
17
- 15
20
- 20
0
Solve using an algorithm.
93 tenths ÷ 5 =1.86
_____
1.86
5 9.30
-5
43
- 40
30
- 30
0
Word Problem
Jesse and three friends buy snacks for a hike.
They buy trail mix for $5.42, apples for $2.55,
and granola bars for $3.39. If the four friends
split the cost of the snacks equally, how much
should each friend pay?
Step 1 – Add (total
cost of snacks)
1 1
$5.42
$2.55
+$3.39
$11.36
Step 2 – Divide
(individual. Cost)
02.84
4 11.36
-8
33
- 32
16
- 16
0
Step 3 – multiply
(Check cost)
2.84
X 4
11.36
Concept Development
Let’s read this word problem
together:
This is the first problem on your
problem set.
Mr. Frye distributed $126 equally among his 4 children
for their weekly allowance. How much money did each
child receive?
Let’s identify our variables. Who and what is this problem
Draw
about?
a
bar.
$126
Mr. Frye’s money
?
Read the first sentence of the problem
together.
What is the important information in that sentence?
Discuss with a partner.
How can we represent this on our How can we represent the 4 children?
diagram?
The amount of money each child receives.
What is our
unknown?
$126
Mr. Frye’s money
?
031.5
4 126.0
4 units = $126
- 12
1 units = ?
06
- 04
1 units = $126 ÷ 4
20
= $31.50
How many unit bars are equal to 4 units is the same as $126 20
0
$126?
How can we find the value of one
unit?
Divide $126 by 4, because we have a whole that we are sharing
equallly.
Write the equation that will give us the amount that each child
receives?
$126 ÷ 4 = _______
Solve the problem and write down your answer in a complete
sentence.
Each child received $31.50 for their weekly allowance.
Let’s look at part b on your problem set.
Solve using a tape diagram.
$31.50
Johns’ money
Step 1:
10.50
3 31.50
- 30
15
- 15
00
?
Step 2:
1
31.50 (from Dad)
+10.50 (from John)
$42.00
Each of his siblings
will get $42.00 in all.
Read problem #4 on your worksheet, identify the variable
(who and what). Illustrate using a bar.
Brandon mixed 6.83 lbs. of cashews with 3.57 lbs. of pistachios. After
filling up 6 bags that were the same size with the mixture, he had 0.35 lbs.
of nuts left. What was the weight of each bag?
6.83
3.57
Brandon’s cashews/pistachios
Read the first sentence.
Tell a partner.
What is the important information in this
sentence?
How can I represent this information on our tape Draw two parts .
diagram?
Should the parts be equal?
No.
Let’s read the next
How will we we represent this part of the
sentence.
problem?
Make a new bar , split
into number of bags used and one
part for what is left over. OR Erase bar separating nuts and
split into even parts.
I am going to use the bar that I’ve already drawn. I’ll label my
bags with the letter b and label the part that wasn’t put into a
bag.
Brandon mixed 6.83 lbs. of cashews with 3.57 lbs. of pistachios. After
filling up 6 bags that were the same size with the mixture, he had 0.35 lbs.
of nuts left. What was the weight of each bag?
6.83 + 3.57
Brandon’s cashews/pistachios
?
b
b
b
b
What is the question?How much did each bag weight?
b
left
0.35
Where should we put our question Inside
mark? one of the units labeled b.
How will we find the value of 1 unit?
We need to divide by 6. We first have to
take away the part that is not in a bag.
Perform your
calculations.
State your answer in a complete sentence.
6.83 + 3.57 = 10.4
6 units + 0.35 = 10.4
01.675
6 10.050
10.40
-6
- 0.35
40
- 36
10.05
45
1 unit = 1.675 lbs.
- 42
30
Each bag contained 1.675 lbs. of nuts. 30
0
Complete question 2, 3, and 5 on your
worksheet, using tape diagrams and
calculations to solve.
1 unit = (10.4 - 0.35) ÷ 6
Problem #2
Step 1:
Step 2:
Olivia’s height
Ava’s height
0.89 m
2 1.78 m
-16
18
- 18
0
1
89 cm
+ 23 cm
112 cm
Olivia is 89 cm tall.
Ava is 112 cm tall.
Problem #3
Step 1:
Total of payments
35.75
X 8
286.00
Step 2:
Total cost of
payments
286.00
+ 510.00
$ 796.00
Step 3:
Savings
795 100
796.00
+ 699.99
$ 96.01
Mr. Hower will
save$96.01 if he pays
cash.
Problem #5a
Step 1:
Figure out how much
flour the store bought.
Step 2:
Flour used for muffins
2
3.5
X 4
14.0 kg
3 2
475 g
X 4
1900g
Step 3:
Step 4:
Convert to kg
Flour used for bread
3 2
0.65
X 5
3.25 kg
1900 g = 1.9kg
Step 5:
Step 6:
Total flour used
1
+
3.25
1.90
5.15kg
Flour 13
left100over
-
14.00
5.15
8.85kg
8.85 kg of flour will be left.
Problem #5b
Step 1:
How many bins?
2.95
3 8.85
-6
28
- 27
15
- 15
0
3 bins will be needed
to store all the
remaining flour.
Thank you for your purchase.
To view more of my products visit:
http://www.teacherspayteachers.com/Store/A-Teachers-World
Backgrounds and clip art provided by:
www.mycutegraphics.com
WWW.TEACHERSPAYTEACHERS.COM/STORE/WHITNEY-PARLIN
Worksheets in this file are from NYS Math Module 1 Grade 5. I have simply minimized the
pages to reduce the use of paper. For the entire module visit:
www.engageny.org/resource/grade-5-mathematics-module-2