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Topic E m ultiplying decimals

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Topic E

multiplying decimals

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

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.

MATERIALS NEEDED

FOR THIS LESSON

Student

Student Pages

Problem Set

Exit Ticket

Homework

Place Value Chart

Personal White Boards

Teacher

Teacher Pages

Fluency Practice(10 minutes)

Take Out the Unit

4 minutes

5.NBT.1

1.234 = _________ thousandths

Say the number: 65.247

76.358 = 7 tens _____ thousandths

76.358 = 736 tenths _________ thousandths

76.358 = _________ hundredths 8 thousandths

Add and Subtract Decimals

6 minutes

5.NBT.7

7258 thousandths + 1 thousandth =

7 ones 258 thousandths + 3 hundredths =

7258 thousandths + 1 thousandth =

7 ones 258 thousandths + 4 tenths =

6 ones 435 thousandths + 4 hundredth =

2 ones 37 thousandths + 5 tenths =

6 ones 35 hundredths + 7 thousandths =

4 ones 8 hundredths - 2 ones =

___ ones ___ hundredths

9 tenths - 7 thousandths - 4 thousandths =

4 ones 582 thousandths - 3 hundredths =

9 ones 708 thousandths - 4 tenths =

4 ones 73 thousandths - 4 hundredths =

Application Problem (5 minutes)

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

Concept Development (35 minutes)

Problem 1

Multiplying decimals

3 x 0.2

ones

tenths

Problem 2

Multiplying decimals

3 x 0.3

ones

tenths

Problem 3

Multiplying decimals

4 x 0.3

ones

tenths

Problem 4

Multiplying decimals

2 x 0.43

ones

tenths

hundredths

4 tenths + 3 hundredths

2

0.8 + 0.06 = 0.86

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

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

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

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

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

Problem Set (10 minutes)

Do Your Personal Best

(Complete independently!)

Student Debrief (10 minutes)

Compare #1c and 1d.

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

EXIT TICKET (3 minutes)

Complete the exit ticket and turn in...

HOMEWORK