5th Grade Module 4–
Lesson 10
K. Clauson
Convert Measures from Small
to Large Units
122inc =
= _______
_______ pt
ft
24 in = _______ ft
36 in = _______ ft
48 in = _______ ft
120 in = _______ ft
Howmany
manypints
feet are
are in
in 2
12cups?
inches?
How
4 c = _______ pt
6 c = _______ pt
16 c = _______ pt
Multiply a fraction and a
whole number
Find the Unit Conversion
Application Problem
Bridget has $240. She spent 3/5 of her money and
saved the rest. How much more money did she spend
than save?
Problem 1: Write an expression to
match a tape diagram.
Then, evaluate.
Read the expression that names the whole.
What do we call the answer to an addition
sentence?
So, this tape diagram is
showing 3 fourths of the
sum of 9 and 11. Work with
a partner to write a
numerical expression to
match these words.
How many units is the sum being divided
into?
What is the name of that fractional unit?
How many fourths are we trying to find?
Problem 1: Write an expression to
match a tape diagram.
Then, evaluate.
3 fourths the sum of 9 and 11
(9 + 11) × ¾.
The parentheses tell us to
add 9that
and 11 first, and
I noticed
multiply.
manythen
of you
put If the
parentheses weren’t
parentheses
there,
around
9 +we
11.would have to
multiply
Explain
to a first. We want to
find the
neighbor
whysum first, and
multiply.
that then
is necessary.
¾ × (9 + 11)
9 + 11 X 3
4
What is
the final
answer?
Problem 1:
Write an
expression to
match a tape
diagram.
Then,
evaluate.
Problem 1: Write an expression to
match a tape diagram.
Then, evaluate.
Look at this model. How is it different from
the previous example?
This time, we don’t know the whole.
In this diagram, the whole is being divided
into fifths, not fourths.
Here, we know what 1 fifth is. We know it is
the difference of 1/3 and 1/4.
We have to multiply the difference of 1/3
and 1/4 by 5 to find the whole.
Problem 1: Write an expression to
match a tape diagram.
Then, evaluate.
Read the subtraction expression that tells
the value of one unit (or 1 fifth) in the model.
What is the name for the answer to a
subtraction problem?
This unit is the difference of one-third
and one-fourth.
Work with a partner to
write a numerical
expression to match
these words.
How many of these (1/3−1/4) units does
our model show?
5 units of 1/3−1/4
Problem 1: Write an expression to
match a tape diagram.
Then, evaluate.
5 ×(1/3−1/4) or (1/3−1/4) × 5.
Do we need parentheses
for this expression?
What is
the final
answer?
Problem 1:
Write an
expression to
match a tape
diagram.
Then,
evaluate.
Problem 2: Write and evaluate an
expression from word form.
the product of 4 and 2, divided by 3
Let’s read this expression!
Work with a partner to write a matching
numerical expression.
Were the parentheses
necessary here? Why
or why not?
(4 × 2) ÷ 3
4×2
3
4×2÷3
Problem 2: Write and evaluate an
expression from word form.
the product of 4 and 2, divided by 3
(4 × 2) ÷ 3
4×2
3
4×2÷3
Work independently to evaluate your
expression. Express your answer as
both a fraction greater than one
(improper fraction) and a mixed
number. Check your work with a
neighbor when you’re finished.
Problem 3: Evaluate and compare
equivalent expressions.
a. 2 ÷ 3 × 4
b. 4 thirds doubled
c. 2 ÷ (3 × 4)
d. 2/3 × 4
e. 4 copies of the sum of
one-third and one-third
f. (2 ÷ 3) × 4
Evaluate these
expressions with your
partner. Continue
working until I call
time. Be prepared to
share.
Problem 3: Evaluate and compare
equivalent expressions.
What do you notice?
The answer is 8 thirds every
time, except (c).
All of the expressions are
equivalent, except (c).
These are just different ways of
expressing 8/3.
a. 2 ÷ 3 × 4
b. 4 thirds doubled
c. 2 ÷ (3 × 4)
d. 2/3 × 4
e. 4 copies of the sum of
What was different about (c)?
one-third and one-third
f. (2 ÷ 3) × 4
Since the expression had parentheses, we
had to multiply first, and then divide. It
was equal to 2 twelfths.
Problem 5: Compare expressions
in word and numerical forms.
Let’s use <, >, or = to compare expressions.
a. 𝟏/𝟖 the sum of 6 and 14
b. 4 × 𝟖/𝟑
(6 + 14) ÷ 8
4 times the quotient of 3 and 8
c. Subtract 2 from 𝟏/𝟐 of 9
(11 ÷ 2) – 2
Answers are on the next slide…..
Problem 5: Compare expressions
in word and numerical forms.
Let’s use <, >, or = to compare expressions.
a. 𝟏/𝟖 the sum of 6 and 14
b. 4 × 𝟖/𝟑
>
=
(6 + 14) ÷ 8
4 times the quotient of 3 and 8
c. Subtract 2 from 𝟏/𝟐 of 9
<
(11 ÷ 2) – 2
Get Ready to Finish the
Problem Set on Your Own!
Complete Lesson 10.
You will have 10 minutes to work.
Try your Best!
5th Grade Module 4– Lesson 10
K. Clauson
• Take 2 minutes to check your answers with your partner.
• Let’s share any insights you had while solving these
problems.
5th Grade Module 4- Lesson 10
K. Clauson
EXIT
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LESSON 10
5th Grade Module 4– Lesson 10
K. Clauson