module 1 lesson 2. 5.nbt.1 recognize that in a multi-digit number, a digit in one place represents...

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Page 1: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Module 1 Lesson 2

Page 2: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

• 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

• 5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

• 5.MD.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Common CoreStandards

Page 3: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Learning Targets

1.I can use pictures to show relations between adjacent place values from millions to thousandths

2.I can use place value relations to find products and quotients of powers of ten

Page 4: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

0 10 20 30 40 50

Activate Knowledge

Skip count by threes to 36 and back.

Page 5: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

0 10 20 30 40 50

Activate Knowledge

Skip count by fours to 48 and back.

Page 6: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

83 ones = ____ tens_____ones8 3

Page 7: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

93 ones = ____ tens_____ones9 3

Page 8: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

103 ones = ____ tens_____ones10 3

Page 9: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

113 ones = ____ tens_____ones11 3

Page 10: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

163 ones = ____ tens_____ones16 3

Page 11: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

263 ones = ____ tens_____ones26 3

Page 12: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

463 ones = ____ tens_____ones46 3

Page 13: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

875 ones = ____ tens_____ones87 5

Page 14: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

10 hundreds = 1____________thousand

Page 15: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

10 tens = 1____________hundred

Page 16: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

10 ones = 1____________ten

Page 17: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

10 tenths = 1____________whole

Page 18: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

10 thousandths = 1____________hundredth

Page 19: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

3

Using a white board:Put a 3 in the ones place.

Multiply by 10. (How does it move?)

3 0

…and add the place holder in the ones place.

Page 20: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

20 ones = ____ tens2

Page 21: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

30 ones = ____ tens3

Page 22: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

80 ones = ____ tens8

Page 23: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

90 ones = ____ tens9

Page 24: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

100 ones = ____ tens10

Page 25: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

110 ones = ____ tens11

Page 26: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

120 ones = ____ tens12

Page 27: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

170 ones = ____ tens17

Page 28: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

270 ones = ____ tens27

Page 29: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

670 ones = ____ tens67

Page 30: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

640 ones = ____ tens64

Page 31: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

830 ones = ____ tens83

Page 32: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

x 10

3

3 0

Page 33: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

x 10

20

2

Page 34: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

x 10

23

23

Page 35: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

x 10

23 4

23 4

Page 36: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

x 10

42 5

42 5

Page 37: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

x 10

1 30

1 30

Page 38: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

÷ 10

2

2

Page 39: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

÷ 10

3

0 3

Page 40: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

÷ 10

32

32

Page 41: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

÷ 10

32 5

32 5

Page 42: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Activate Knowledge

÷ 10

5 2

5 20

Page 43: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

A school district ordered 247 boxes of pencils.

Each box contains 100 pencils. If the pencils

are to be shared evenly amongst 10

classrooms, how many pencils will each class

receive? Use a place value chart to show your

thinking.

2 4 72 4 7 00

2 4 7 00

2 4 7 0

Page 44: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Teamwork

Turn and share with your partner.

What do you remember about how adjacent units on the place value chart are related?

Page 45: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Learn

• Moving one position to the left of the place value chart makes units 10 times larger.

• Moving one position to the right makes units 1/10 the size.

Page 46: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

TeamworkWork with your partner to solve these problems. Write two complete number sentences on your board.

367 × 10 367 ÷ 10

3 6 73 6 7 0

3 6 73 6 7

367 × 10 = 3,670 367 ÷ 10 = 36.7

Page 47: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Teamwork Work with your partner to solve these problems without the place value chart. Write two complete number sentences on your board.

215.6 × 100 215.6 ÷ 100

215.6 × 100 = 21,460 215.6 ÷ 100 = 2.156

Page 48: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Teamwork Work with your partner to solve these problems without the place value chart. Write two complete number sentences on your board.

3.7 × 100 3.7 ÷ 100

3.7 × 100 = 370 3.7 ÷ 100 = 0.037

Page 49: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Teamwork Work with your partner to solve these problems without the place value chart. Write two complete number sentences on your board.

0.482 × 1000 482 ÷ 1000

0.482 × 1000 = 482 482 ÷ 1000 = 0.482

Page 50: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

Please take approximately 10 minutesto complete your Lesson 2 Problem Set WS.

Click the timer to begin. Click to pause/resume. If you leave this slide, the timer will reset.

Page 51: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

54,000 x 10 = ___________________ 540,000

Page 52: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

54,000 ÷ 10 = __________________ 5,400

Page 53: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

8.7 x 10 = ___________________ 87

Page 54: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

8.7 ÷ 10 = ________________ 0.87

Page 55: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

0.13 x 100 = _______________13

Page 56: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

13 ÷ 1000 = ___________________0.013

Page 57: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

3.12 x 1000 = _________________3,120

Page 58: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

4031.2 ÷ 100 = _________________40.312

Page 59: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

Find the products.

19,340 x 10 = ___________________193,400

Page 60: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

Find the products.

19,340 x 10 = ___________________

19,340 x 100 = ___________________

193,400

1,934,000

Page 61: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

Find the products.

19,340 x 10 = ___________________

19,340 x 100 = ___________________

19,340 x 10000 = ___________________

193,400

1,934,000

19,340,000

Page 62: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

Find the products.

19,340 x 10 = ___________________

19,340 x 100 = ___________________

19,340 x 10000 = ___________________

Explain how you decided on the number of zeros in the products.

193,400

1,934,000

19,340,000

Page 63: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

Find the quotients.

152 ÷ 10 = ___________________15.2

Page 64: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

Find the quotients.

152 ÷ 100 = ___________________

152 ÷ 10 = ___________________15.2

1.52

Page 65: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

Find the quotients.

152 ÷ 10 = ___________________

152 ÷ 100 = ___________________

152 ÷ 1000 = ___________________

15.2

1.52

0.152

Page 66: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

Find the quotients.

152 ÷ 10 = ___________________

152 ÷ 100 = ___________________

152 ÷ 1000 = ___________________

Explain how you decided on the number of zeros in the products.

15.2

1.52

0.152

Page 67: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

Janice thinks that 20 hundredths is equivalent to 2 thousandths because 20 hundreds is equal to 2 thousands. Use words and a place value chart to correct Janice’s error.

Page 68: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Practice

Canada has a population that is about 1/10 as large as the United States. If Canada’s

population is about 32 million, about how many people live in the United States? Explain the

number of zeros in your answer.

Page 69: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

ExitTicket

a. 32.1 x 10 = ___________________

b. 3632.1 ÷ 10 = ____________________

c. 455 x 1000 = _______________

d. 455 ÷ 1000 = __________________

Page 70: Module 1 Lesson 2. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its

Please complete the HomeworkWS for Lesson 2 tonight.