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Topic C P lace value and rounding decimal fractions

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Topic C

Place value and rounding decimal fractions

STANDARD - 5.NBT.4

Grade 5

Module 1 Lesson 8

Objective:

Round a given decimal to any place using place value understanding and the vertical number line.

MATERIALS NEEDED

FOR THIS LESSON

Student

Personal White Boards

Student Pages

Problem Set

Exit Ticket

Homework

Teacher

Teacher Pages

Fluency Practice(12 minutes)

Rename the Units

6 minutes

5.NBT.3

Say the number as a decimal

13 tenths = _________

14 tenths = _________

24 tenths = _________

124 tenths = _________

524 tenths = _________

Name the number if tenths

2.5 tenths = _________

17.5 tenths = _________

27.5 tenths = _________

Name the number if tenths

24.5 tenths = _________

24.3 tenths = _________

42.3 tenths = _________

Name the number as a decimal

37 hundredths = _________

137 hundredths = _________

537 hundredths = _________

296 hundredths = _________

Say the number sentence

0.548 = _________ thousandths

1.548 = _________ thousandths

2.548 = _________ thousandths

7.352 = _________ thousandths

Round to Different Place Values

9

6 minutes

5.NBT.4

9

8.735

8.735

8.5

round to the ones

8.8

8.74

8

8.75

8.74

8.735

8.735

round to the tenths

round to the hundredths

8.7

8.735

8.7

8.73

7.458

8

7.5

round to the ones

7

7.5

7.458

7.46

7.458

7.5

7

7.46

7.458

7.45

round to the tenths

7.455

round to the hundredths

7.4

7.45

Application Problem

(6 minutes)

Organic, whole-wheat flour sells in bags weighing 2.915 kilograms? How much flour is this rounded to the nearest tenth? How much flour is this rounded to the nearest one? What is the difference of the two answers? Use a place value chart and number line to explain your thinking.

Concept Development (32 minutes)

Problem 1

round 49.67 to the nearest ten

5 tens or 50

decomposition

45.67

4 tens or 40

round 49.67 to the nearest ones

decomposition ones

50

49.5

49

decomposition tenths

49.7

49.65

49.6

Problem 2

9.949 round to the nearest tenth and hundreth

9.949

10

decomposition tenths

9.95

9.95

9.9

decomposition hundredths

9.955

9.94

Problem 3

28

Determine the maximum and minimum possible values

_______ 27

27.5

maximum

27

27

26.5

minimum

26

Problem Set (10 minutes)

Do Your Personal Best

(Complete independently!)

Student Debrief (10 minutes)

Compare how we rounded in lesson 7 to lesson 8. How are they alike? How are they different?

Once a number rounds up at one place value, does it follow then that every place value will round up? Why or Why not?

How does the place value chart help organize your thinking when rounding

EXIT TICKET (3 minutes)

Complete the exit ticket and turn in...

HOMEWORK