Grade 5 Module 1 Lesson 9

Grade 5 Module 1 Lesson 9

Fluency Practice

• Round to the Nearest One Sprint

Decompose the Unit

6.358 (Say the number)

Decompose the Unit

6.358 (Say the number)

6 and 358 thousandths

How many tenths are in 6.358?

Decompose the Unit

6.358 (Say the number)6 and 358 thousandths

How many tenths are in 6.358?63 tenths

6.358 = 63 tenths ___ thousandths

Decompose the Unit

6.358 (Say the number)6 and 358 thousandths

How many tenths are in 6.358?63 tenths

6.358 = 63 tenths ___ thousandths6.358 = 63 tenths 58 thousandths

Round to Different Place Values

2.475 (Say the number)

Round to Different Place Values

2.475 (Say the number)

2 and 475 thousandths

On your boards, round the number to the nearest tenth.

Round to Different Place Values

2.475 (Say the number)

2 and 475 thousandths

On your boards, round the number to the nearest tenth.

2.475 ≈ 2.5

Round to Different Place Values

2.475 (Say the number)2 and 475 thousandths

On your boards, round the number to the nearest tenth. 2.475 ≈ 2.5

On your boards, round the number to the nearest hundredths.

Round to Different Place Values

2.475 (Say the number)2 and 475 thousandths

On your boards, round the number to the nearest tenth. 2.475 ≈ 2.5

On your boards, round the number to the nearest hundredths.2.475 ≈ 2.48

One Unit More

5 tenths (Write the decimal that’s one tenth more than the given value.)

One Unit More

5 tenths (Write the decimal that’s one tenth more than the given value.)0.6

5 hundredths (Write the decimal that’s one hundredth more than the given value.)

One Unit More

5 tenths (Write the decimal that’s one tenth more than the given value.)0.6

5 hundredths (Write the decimal that’s one hundredth more than the given value.)0.06

One Unit More

8 hundredths (Write the decimal that’s one tenth more than the given value.)

3 tenths (Write the decimal that’s one hundredth more than the given value.)

One Unit More

8 hundredths (Write the decimal that’s one tenth more than the given value.)0.09

3 tenths (Write the decimal that’s one hundredth more than the given value.)0.4

One Unit More

2 thousandths (Write the decimal that’s one tenth more than the given value.)

5 thousandths (Write the decimal that’s one hundredth more than the given value.)

One Unit More

2 thousandths (Write the decimal that’s one tenth more than the given value.)0.003 5 thousandths (Write the decimal that’s one hundredth more than the given value.)0.006

One Unit More

0.052 (On your board, write one more thousandths.)

One Unit More

0.052 (On your board, write one more thousandths.)0.053

0.35 (On your board, write one more tenth.)

One Unit More

0.052 (On your board, write one more thousandths.)0.053

0.35 (On your board, write one more tenth.)0.45

One Unit More

0.35 (On your board, write one more thousandths.)

0.438 (On your board, write one more hundredths.)

Application

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 your answer to the nearest gram. If someone asked you, “About how much does a baseball weigh?” which answer would you give? Why?

Application

thousand hundred tens ones . 1/10 1/100

1 4 1 7 4

1417.4 ÷ 10

Application

thousand hundred tens ones . 1/10 1/100

1 4 1 7 4

1 4 1 7 4

1417.4 ÷ 10 = 141.74Round to the nearest tenth of a gram. Round to the nearest gram.

Application

1417.4 ÷ 10 = 141.74Round to the nearest tenth of a gram.

Round to the nearest gram.

141.74 ≈ 141.7 grams141.74 ≈ 142 grams

Concept Development

Problems 1-3Solve 2 tenths + 6 tenths on your place value chart.Say the sentence in words.

Concept Development

Solve 2 tenths + 6 tenths on your place value chart.Say the sentence in words.2 tenths + 6 tenths = 8 tenthsHow is this addition problem the same as a whole number addition problem? Turn and share with your partner.

Concept Development

2 tenths + 6 tenths = 8 tenthsHow is this addition problem the same as a whole number addition problem? Turn and share with your partner. In order to find the sum, add like units (tenths with tenths). 2 tenths plus 6 tenths equals 8 tenths.

Concept Development

Work with your partner and solve the next two problems with your place value chart.

0.205 + 0.060

Concept Development

Work with your partner and solve the next two problems with your place value chart.

0.205 + 0.060

ones . 1/10 1/100 1/0000 2 0 50 0 6 0

Concept Development

Work with your partner and solve the next two problems with your place value chart.

0.205 + 0.060

0.265

ones . 1/10 1/100 1/0000 2 0 50 0 6 0

Concept Development

Use your place value chart to show the addends of our next problem. 1.8 + 13 tenths

Concept Development

Use your place value chart to show the addends of our next problem. 1.8 + 13 tenths

Tell how you represented these addends.

Concept Development

Use your place value chart to show the addends of our next problem. 1.8 + 13 tenths = ? ones . 1/10 1/100 1/000

1 81 3

Concept Development

Use your place value chart to show the addends of our next problem. 1.8 + 13 tenths = ?1 and 21 tenths.

ones . 1/10 1/100 1/0001 8

13

Concept Development

1.8 + 13 tenths = 1 and 21 tenths.There are 10 tenths in one whole. I can compose 2 wholes and 11 tenths from 21 tenths, so the answer is 3 and 1 tenth. 13 tenths is the same as 1 one and 3 tenths. 1 one 3 tenths + 1 one 8 tenths = 2 ones 11 tenths which is the same as 3 ones 1 tenth.

Concept Development

Use your place value chart to show the addends of our next problem. 1.8 + 13 tenths = ? 2 ones 11 tenths=3 ones 1 tenth

ones . 1/10 1/100 1/0001 81 3

Concept Development

Use your place value chart to show the addends of our next problem. 0.74 + 0.59 = ?

Concept Development

Use your place value chart to show the addends of our next problem. 0.74 + 0.59 = ? ones . 1/10 1/100 1/000

0 7 40 5 9

Concept Development

Use your place value chart to show the addends of our next problem. 0.74 + 0.59 = ?How is this problemlike others we’vesolved? How wasit different?

ones . 1/10 1/100 1/0000 7 40 5 9

Concept Development

We still add by combining like units. Ones with ones, tenths with tenths, hundredths with hundredths but this time we had to bundle in two place value units. We still record our thinking the same way we do with whole numbers, aligning like units.

Concept Development

Use your place value chart to show the addends of our next problem. 0.74 + 0.59 = 1.33

ones . 1/10 1/100 1/0000 7 40 5 9

Concept Development

Solve the next two problems using the written method. You may also use your place value chart to help you.

7.048 + 5.196 =

7.44 + 0.704 =

Concept Development

7.048 + 5.196 =

7.44 + 0.704 =How is the second problem different from the first problem? Turn and talk to your partner.

Problem Set

Do your personal best to complete the Problem Set within the allotted 10 minutes.

Student Debrief

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

Student Debrief

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

Decimal fraction (A fraction where the denominator (the bottom number) is a power of ten (such as 10, 100, 1000, etc)