math-g5-m4-topic-e-lesson-15.pdf - Lesson 15 5 4 NYS COMMON...

NYS COMMON CORE MATHEMATICS CURRICULUM
5 4 Lesson 15
Lesson 15: Multiply non-unit fractions by non-unit fractions.
228
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 -Great Minds. eureka math.org
This file derived from G5-M4-TE-1.3.0-06.2015
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 15
Objective: Multiply non-unit fractions by non-unit fractions.
Suggested Lesson Structure

Fluency Practice (12 minutes)

Application Problem (7 minutes)

Concept Development (31 minutes)

Student Debrief (10 minutes)
Total Time (60 minutes)
Fluency Practice (12 minutes)
 Multiply Fractions 5.NF.4 (4 minutes)
 Write Fractions as Decimals 5.NF.3 (4 minutes)
 Convert to Hundredths 4.NF.5 (4 minutes)
Multiply Fractions (4 minutes)
Materials: (S) Personal white board
Note: This fluency activity reviews Lesson 13.
T: (Write
1
2
of
1
3
.) Say the fraction of a set as a multiplication expression.
S:
1
2
×
1
3
.
T: Draw an area model, and shade in 1 third.
S: (Draw an area model, partition it into 3 equal units, and shade 1 of the units.)
T: To show
1
2
of
1
3
, how many parts do you need to break the 1 third into?
S: 2.
T: Shade 1 half of 1 third.
S: (Shade 1 of the 2 parts.)
T: How can we name this new unit?
S: Partition the other 2 thirds in half.
T: Show the new units.
S: (Partition the other thirds into 2 equal parts.)
T: How many new units do you have?

NYS COMMON CORE MATHEMATICS CURRICULUM
5 4 Lesson 15
Lesson 15: Multiply non-unit fractions by non-unit fractions.
229
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 -Great Minds. eureka math.org
This file derived from G5-M4-TE-1.3.0-06.2015
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
S: 6 units.
T: Write the multiplication sentence.
S: (Write
1
2
×
1
3
=
1
6
.)
Continue the process with the following possible sequence:
1
3
of
3
4
,
1
2
of
6
5
, and
3
5
of
1
2
.
Write Fractions as Decimals (4 minutes)
Note: This fluency activity prepares students for Lessons 17 and 18.
T: (Write
1
10
.) Say the fraction.
S: 1 tenth.
T: Say it as a decimal.
S: Zero point one.
Continue with the following possible suggestions:
2
10
,
3
10
,
9
10
, and
6
10
.
T: (Write
1
100
= .) Say the fraction.
S: 1 hundredth.
T: Say it as a decimal.
S: Zero point zero one.
Continue with the following possible sequence:
2
100
,
8
100
,
9
100
,
11
100
,
17
100
, and
53
100
.
T: (Write 0.01 = .) Say it as a fraction.
S: 1 hundredth.
T: (Write 0.01 =
1
100
.)
Continue with the following possible sequence: 0.02, 0.09, 0.13, and 0.37.
Convert to Hundredths (4 minutes)
Materials: (S) Personal white board
Note: This fluency exercise prepares students for Lessons 17 and 18.
T: (Write
1
5
=
100
.) Write the equivalent fraction.
S: (Write
1
5
=
20
100
.)
T: (Write
1
5
=
20
100
= .) Write 1 fifth as a decimal.
S: (Write
1
5
=
20
100
= 0.2.)
Continue with the following possible sequence:
2
5
,
4
5
,
1
50
,
9
50
,
11
50
,
1
4
,
3
4
,
1
25
,
2
25
,
7
25
, and
12
25
.

NYS COMMON CORE MATHEMATICS CURRICULUM
5 4 Lesson 15
Lesson 15: Multiply non-unit fractions by non-unit fractions.