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 ___ thousandths 6.358 = 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 7 1417.4 ÷ 10

1417.4 ÷ 10 = 141.74 Application thousand hundred tens ones . 1/10 1/100 1 4 7 1417.4 ÷ 10 = 141.74 Round to the nearest tenth of a gram. Round to the nearest gram.

Application 1417.4 ÷ 10 = 141.74 Round to the nearest tenth of a gram. Round to the nearest gram. 141.74 ≈ 141.7 grams 141.74 ≈ 142 grams

Concept Development Problems 1-3 Solve 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 tenths How 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 tenths How 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 1/000 2 5 6

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 1/000 2 5 6

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 8 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 1/000 1 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 1/000 1 8 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 7 4 5 9

Concept Development Use your place value chart to show the addends of our next problem. 0.74 + 0.59 = ? How is this problem like others we’ve solved? How was it different? ones . 1/10 1/100 1/000 7 4 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 1/000 7 4 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)