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Topic A Multiplicative patterns on theplace value chart STANDARD - 5.NBT.1, 5.NBT.2, 5.MD.1
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Objective: R eason concretely and pictorially using place value understanding to relate adjacent base ten units from millions to thousandths Grade 5 Module 1 Lesson 1
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MATERIALS NEEDED FOR THIS LESSON P ersonal White Boards Place Value mats disks Teacher Student Teacher Pages Student Pages Sprint A & B Problem Set Exit Ticket Homework
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Fluency Practice (12 minutes)
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1 minutes Do as many problems as you can. Do your personal best. Take your mark! Get set! THINK! Multiply by 10 SPRINT A 4.NBT.1 8 minutes
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1 minutes Do as many problems as you can. Do your personal best. Take your mark! Get set! THINK! Multiply by 10 SPRINT B 4.NBT.1
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Rename the Units 2.NBT.1 2 minutes 10 ones = _____ ten 20 ones = _____ tens 30 ones = ___________ 80 ones = ___________
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90 ones = ___________ 100 ones = ___________ 110 ones = ___________ 120 ones = ___________
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170 = ___________ 270 = ___________ 670 = ___________ 640 = ___________ 830 = ___________
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Decimal Place Value 4.NF.5-6 2 minutes 3 0 3 tens = ________
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30 3 tenths = ________
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4 tenths = ________
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3 hundredths = ________ 43 hundredths = ________
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5 hundredths = ________ 35 hundredths = ________
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7 ones 35 hundredths = ________
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9 ones 24 hundredths = ________
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6 tens 2 ones 4 hundredths = ________
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Application Problem (8 minutes) Farmer Jim keeps 12 hens in every coop. If Farmer Jim has 20 coops, how many hens does he have in all? If every hen lays 9 eggs on Monday, how many eggs will Farmer Jim collect on Monday? Explain your reasoning using words, numbers, or pictures.
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Concept Development (30 minutes)
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Problem 1 Divide single units by 10 to build the place value chart to introduce thousandths How can we show 1 million using hundred thousands? 10 hundred thousands 10 = 1 hundred thousand 1 million 10 = 1 hundred thousand 1 hundred thousands is 1/10 as large as 1 million pull
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What is the result if we divide 1 hundred thousand by 10? 10 ten thousands 10 = 1 ten thousand 1 hundred thousand 10 = 1 ten thousand 1 ten thousands is 1/10 as large as 1 hundred thousand pull
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What is the result if we divide 1 ten thousands by 10? 10 thousands 10 = 1 thousand 1 ten thousand 10 = 1 thousand 1 thousands is 1/10 as large as 1 ten thousands pull
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What is the result if we divide 1 thousand by 10? 10 hundred 10 = 1 hundred 1 thousand 10 = 1 hundred 1 hundred is 1/10 as large as 1 thousand pull
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What is the result if we divide 1 hundred by 10? 10 tens 10 = 1 ten 1 hundred 10 = 1 ten 1 ten is 1/10 as large as 1 hundred pull
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What is the result if we divide 1 ten by 10? 10 ones 10 = 1 one 1 ten 10 = 1 one 1 one is 1/10 as large as 1 ten pull
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What is the result if we divide 1 one by 10? 10 tenth 10 = 1 tenth 1 one 10 = 1 tenth 1 tenth is 1/10 as large as 1 one pull
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What is the result if we divide 1 tenth by 10? 10 hundredth 10 = 1 hundredth 1 tenth 10 = 1 hundredth 1 hundredth is 1/10 as large as 1 tenth pull
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Problem 2 Multiply copies of one unit by 10, 100 and 1000 What is the value of 10 times 0.4?
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What is the value of 10 times 0.03?
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What is the value of 10 times 0.003?
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Problem 3 Divide copies of 0ne unit by 10, 100, 1000 6 10 6 100 6 1000
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0.7 100.7 100 0.7 1000
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0.05 10 0.05 100
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Problem 4 Miply mixed units by 10, 100, 1000 2.43 x 10 2.43 x 100 2.43 x 1000
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Problem 5 Divide mixed units by 10, 100, 1000 745 10 745 100 745 1000
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Problem Set (10 minutes) Do Your Personal Best (Complete independently!)
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Student Debrief (10 minutes) When solving #2, did you notice the use of our new place value? What is the same and what is different about the products fro #1a, b and c? What do you notice about the number of zeros in your product when multiplying by 10, 100, and 1000 relative to the number of places the digits shift on the place value chart? What patterns do you notice? Compare the solutions you found when multiplying by 10 and dividing by 10. How are the solutions in these two equations related to the value of the original quantity? How do they relate to each other?
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EXIT TICKET (3 minutes) Complete the exit ticket and turn in...
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HOMEWORK
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