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Module 1 Lesson 2. Common Core Standards. 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 . - PowerPoint PPT Presentation
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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 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
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
0 10 20 30 40 50
Activate Knowledge
Skip count by threes to 36 and back.
0 10 20 30 40 50
Activate Knowledge
Skip count by fours to 48 and back.
Activate Knowledge
83 ones = ____ tens_____ones8 3
Activate Knowledge
93 ones = ____ tens_____ones9 3
Activate Knowledge
103 ones = ____ tens_____ones10 3
Activate Knowledge
113 ones = ____ tens_____ones11 3
Activate Knowledge
163 ones = ____ tens_____ones16 3
Activate Knowledge
263 ones = ____ tens_____ones26 3
Activate Knowledge
463 ones = ____ tens_____ones46 3
Activate Knowledge
875 ones = ____ tens_____ones87 5
Activate Knowledge
10 hundreds = 1____________thousand
Activate Knowledge
10 tens = 1____________hundred
Activate Knowledge
10 ones = 1____________ten
Activate Knowledge
10 tenths = 1____________whole
Activate Knowledge
10 thousandths = 1____________hundredth
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.
Activate Knowledge
20 ones = ____ tens2
Activate Knowledge
30 ones = ____ tens3
Activate Knowledge
80 ones = ____ tens8
Activate Knowledge
90 ones = ____ tens9
Activate Knowledge
100 ones = ____ tens10
Activate Knowledge
110 ones = ____ tens11
Activate Knowledge
120 ones = ____ tens12
Activate Knowledge
170 ones = ____ tens17
Activate Knowledge
270 ones = ____ tens27
Activate Knowledge
670 ones = ____ tens67
Activate Knowledge
640 ones = ____ tens64
Activate Knowledge
830 ones = ____ tens83
Activate Knowledge
x 10
3
3 0
Activate Knowledge
x 10
202
Activate Knowledge
x 10
23
23
Activate Knowledge
x 10
23 4
23 4
Activate Knowledge
x 10
42 5
42 5
Activate Knowledge
x 10
1 30
1 30
Activate Knowledge
÷ 10
2
2
Activate Knowledge
÷ 10
3
0 3
Activate Knowledge
÷ 10
32
32
Activate Knowledge
÷ 10
32 5
32 5
Activate Knowledge
÷ 10
5 2
5 20
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 7 002 4 7 0
Teamwork
Turn and share with your partner.
What do you remember about how adjacent units on the place value chart are related?
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.
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
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
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
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
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.
Practice
54,000 x 10 = ___________________ 540,000
Practice
54,000 ÷ 10 = __________________ 5,400
Practice
8.7 x 10 = ___________________ 87
Practice
8.7 ÷ 10 = ________________ 0.87
Practice
0.13 x 100 = _______________13
Practice
13 ÷ 1000 = ___________________0.013
Practice
3.12 x 1000 = _________________3,120
Practice
4031.2 ÷ 100 = _________________40.312
Practice
Find the products.
19,340 x 10 = ___________________193,400
Practice
Find the products.
19,340 x 10 = ___________________19,340 x 100 = ___________________
193,4001,934,000
Practice
Find the products.
19,340 x 10 = ___________________19,340 x 100 = ___________________
19,340 x 10000 = ___________________
193,4001,934,000
19,340,000
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.
193,4001,934,000
19,340,000
Practice
Find the quotients.
152 ÷ 10 = ___________________15.2
Practice
Find the quotients.
152 ÷ 100 = ___________________152 ÷ 10 = ___________________15.2
1.52
Practice
Find the quotients.
152 ÷ 10 = ___________________152 ÷ 100 = ___________________152 ÷ 1000 = ___________________
15.21.52
0.152
Practice
Find the quotients.
152 ÷ 10 = ___________________152 ÷ 100 = ___________________152 ÷ 1000 = ___________________
Explain how you decided on the number of zeros in the products.
15.21.52
0.152
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.
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.
ExitTicket
a. 32.1 x 10 = ___________________
b. 3632.1 ÷ 10 = ____________________c. 455 x 1000 = _______________
d. 455 ÷ 1000 = __________________
Please complete the HomeworkWS for Lesson 2 tonight.
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