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Topic D a dding and subtracting decimals

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Topic D

adding and subtracting decimals

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

Grade 5

Module 1 Lesson 9

Objective:

Add decimals using place value strategies and relate those strategies to a written method.

MATERIALS NEEDED

FOR THIS LESSON

Student

Personal White Boards

place value disks

Student Pages

Sprint A & B

Problem Set

Exit Ticket

Homework

Teacher

Teacher Pages

Fluency Practice(14 minutes)

Round to the Nearest One

8 minutes

5.NBT.4

SPRINT A

1 minutes

Do as many problems as you can.

Do your personal best.

Take your mark!

Get set!

THINK!

Round to the Nearest One

5.NBT.4

SPRINT B

1 minutes

Do as many problems as you can.

Do your personal best.

Take your mark!

Get set!

THINK!

Decompose the Unit

2 minutes

5.NBT.1

6.358

Say the number

How many tenths?

_____ tenths _____ hundredths

7.354

Say the number

How many tenths?

_____ tenths _____ hundredths

Round to Different Place Vlaues

2 minutes

5.NBT.4

2.475

Say the number?

Round to the nearest tenth

Round to the nearest hundredth

2.987

Say the number?

Round to the nearest tenth

Round to the nearest hundredth

One Unit More

2 minutes

5.NBT.7

Say the decimal that's one tenth more ..

5 tenths

5 hundredths

5 thousandths

Say the decimal that's one tenth more ..

8 hundredths

3 tenths

2 thousandths

What is one more thousandth

0.052

What is one more tenth more than

35 hundredths

What is 1 thousandth more than

35 hundredths

What is one hundredths more than

438 thousandths

Application Problem

(5 minutes)

Ten baseballs weigh 1,417.4 grams. About how much does 1 baseball weigh? Round your answer to the nearest tenth of a gram. Round to the nearest gram. If someone asked you, "About how much does a baseball weigh?" which anser would you give? Why?

Concept Development (31 minutes)

Problem 1

adding decimals

2 tenths + 6 tenths

ones

tenths

thousandths

hundredths

Problem 2

adding decimals

2 ones 3 thousandths + 6 ones 1 thousandths

ones

tenths

thousandths

hundredths

Problem 3

adding decimals

2 tenths 5 thousandths + 6 hundredths

ones

tenths

thousandths

hundredths

Problem 4

adding decimals

1.8 + 3 tenths

ones

tenths

thousandths

hundredths

Problem 5

adding decimals

1 hundred 8 hundredths + 2 ones 4 hundredths

hundreds

ones

tens

tenths

thousandths

hundredths

Problem 6

adding decimals

148 thousandths + 7 ones 13 thousandths

hundreds

ones

tens

tenths

thousandths

hundredths

Problem 7

adding decimals

0.74 + 0.59

hundreds

ones

tens

tenths

thousandths

hundredths

Problem 8

adding decimals

7.048 + 5.196

hundreds

ones

tens

tenths

thousandths

hundredths

Problem 9

adding decimals

7.44 + 0.774

hundreds

ones

tens

tenths

thousandths

hundredths

Problem Set (10 minutes)

Do Your Personal Best

(Complete independently!)

Student Debrief (10 minutes)

How is adding decimal fractions the same as adding whole numbers? How is it different

Did you recognize a pattern in the digits used in #2? Look at each row and column.

What are some different words you have used through the grades for changing 10 smaller units for 1 of the next larger units or changing 1 unit for 10 of the next smaller units?

What do you notice about the sum in #2f? What are some different ways to express the sum?

What do you notice about the addends in letters b,d and f in #1? Explain the thought process in solving these problems.

EXIT TICKET (3 minutes)

Complete the exit ticket and turn in...

HOMEWORK