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Topic E m ultiplying decimals. STANDARD - 5.NBT.2, 5.NBT.3, 5.NBT.7. Grade 5 Module 1 Lesson 11. Objective:

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Topic e m ultiplying decimals

Topic E

multiplying decimals

STANDARD - 5.NBT.2, 5.NBT.3, 5.NBT.7


Topic e m ultiplying decimals

Grade 5

Module 1 Lesson 11

Objective:

Multiply a decimal fraction by single-digit whole 
numbers, relate to a written method through 
application of the area and place value 
understanding, and explain the reasoning used.


Topic e m ultiplying decimals

MATERIALS NEEDED

FOR THIS LESSON

Student

Student Pages

Problem Set

Exit Ticket

Homework

Place Value Chart

Personal White Boards

Teacher

Teacher Pages


Topic e m ultiplying decimals

Fluency Practice(10 minutes)


Topic e m ultiplying decimals

Take Out the Unit

4 minutes

5.NBT.1

1.234 = _________ thousandths

Say the number: 65.247

76.358 = 7 tens _____ thousandths


Topic e m ultiplying decimals

76.358 = 736 tenths _________ thousandths

76.358 = _________ hundredths 8 thousandths


Topic e m ultiplying decimals

Add and Subtract Decimals

6 minutes

5.NBT.7

7258 thousandths + 1 thousandth =

7 ones 258 thousandths + 3 hundredths =

7258 thousandths + 1 thousandth =


Topic e m ultiplying decimals

7 ones 258 thousandths + 4 tenths =

6 ones 435 thousandths + 4 hundredth =


Topic e m ultiplying decimals

2 ones 37 thousandths + 5 tenths =

6 ones 35 hundredths + 7 thousandths =


Topic e m ultiplying decimals

4 ones 8 hundredths - 2 ones =

___ ones ___ hundredths

9 tenths - 7 thousandths - 4 thousandths =


Topic e m ultiplying decimals

4 ones 582 thousandths - 3 hundredths =

9 ones 708 thousandths - 4 tenths =


Topic e m ultiplying decimals

4 ones 73 thousandths - 4 hundredths =


Topic e m ultiplying decimals

Application Problem (5 minutes)

After school, Marcus ran 3.2km and Cindy ran 
1.95km. Who ran farther? How much farther?


Topic e m ultiplying decimals

Concept Development (35 minutes)


Topic e m ultiplying decimals

Problem 1

Multiplying decimals

3 x 0.2

ones

tenths


Topic e m ultiplying decimals

Problem 2

Multiplying decimals

3 x 0.3

ones

tenths


Topic e m ultiplying decimals

Problem 3

Multiplying decimals

4 x 0.3

ones

tenths


Topic e m ultiplying decimals

Problem 4

Multiplying decimals

2 x 0.43

ones

tenths

hundredths

4 tenths + 3 hundredths

2

0.8 + 0.06 = 0.86


Topic e m ultiplying decimals

Problem 5

Multiplying decimals

ones

tenths

hundredths

thousandths

2 x 0.423

4 tenths + 2 hundredths + 3 thousandths

4 hundredths

2

8 tenths

6 thousandths

1.2 + 0.04 + 0.006 = 0.846


Topic e m ultiplying decimals

Problem 6

Multiplying decimals

ones

tenths

hundredths

thousandths

4 x 0.423

4 tenths + 2 hundredths + 3 thousandths

8 hundredths

4

16 tenths

12 thousandths

1.6 + 0.08 + 0.012 = 1.692


Topic e m ultiplying decimals

Problem 7

Multiplying decimals

6 x 1.21

1 one + 2 tenths + 1 hundredth

6

6 ones

6 hundredths

12 tenths

6 + 1.2 + 0.06 = 7.26


Topic e m ultiplying decimals

Problem 7

Multiplying decimals

7 x 2.41

2 one + 4 tenths + 1 hundredth

7

14 ones

7 hundredths

28 tenths

14 + 2.8 + 0.07 = 16.87


Topic e m ultiplying decimals

Problem 7

Multiplying decimals

8 x 2.34

2 one + 3 tenths + 4 hundredth

8

16 ones

32 hundredths

24 tenths

16 + 2.4 + 0.32 = 18.72


Topic e m ultiplying decimals

Problem Set (10 minutes)

Do Your Personal Best

(Complete independently!)


Topic e m ultiplying decimals

Student Debrief (10 minutes)

Compare #1c and 1d.

#3 students share work and articulate which 
units are being multiplied and composed 
into larger ones.


Topic e m ultiplying decimals

EXIT TICKET (3 minutes)

Complete the exit ticket and turn in...


Topic e m ultiplying decimals

HOMEWORK


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