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Topic B Decimal Fractions and Place Value Patterns STANDARD - 5.NBT.3

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Objective: N ame decimal fractions in expanded, unit and word form by applying place value reasoning. Grade 5 Module 1 Lesson 5

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MATERIALS NEEDED FOR THIS LESSON Place Value Chart Personal White Boards 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 and Divide by 10, 100, 1000 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 and Divide by 10, 100, 1000 SPRINT B 4.NBT.1

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Multiply and Divide by Exponents 5.NBT.2 2 minutes Write 54 tenths as a decimal

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Write 0.6 x 102

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Write 0.6 102

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Write 2.784 x 103

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Write 6583 103

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Multiplying Metric Units 5.MD.1 2 minutes 3 m = _____ cm Show on your place value chart. How many centimeters are in 1 meter? How many centimeters in 3 meters? Show on your place value chart.

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7 kg = _____ g 7000 ml = _____ l 7500 m = _____ km _____ m 8350 g = _____ kg _____ g

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Application Problem (8 minutes) Jordan measures a desk at 200 cm. James measures the same desk in milliliters, and Amy measures the same desk in meters. What is James measurement in milliliters? What is Amy's measurement in meters? Show your thinking using a place value mat or equation using place value mat or an equation with exponents.

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Concept Development (30 minutes)

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Opener three thousand forty seven standard form: _____________________

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Problem 1 Represent in standard and unit form. Write in digits on place value chart. standard form: ________________________ as a fraction: ________________________ expanded form: using fractions ________________________ using decimals ________________________ one thousandths one thousandth = 0.001 = 1 1000 1 = 1 x 1 1000 0.001 = 1 x 0.001 1 thousandths notes

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Write in digits on place value chart. standard form: ________________________ as a fraction: ________________________ expanded form: using fractions ________________________ using decimals ________________________ If you had 3 copies of 1 thousandths, how many thousandths is that? three thousandth = 0.003 = 3 1000 3 = 3 x 1 1000 0.003 = 3 x 0.001 3 thousandths notes

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Problem 2 represent a number thousandths in standard form and unit form thirteen thousandths standard form: ________________________ expanded form: using fractions ________________________ using decimals ________________________ thirteen thousandth = 0.013 = 13 1000 13 = 1000 0.013 x 0.01+ 3 x 0.001 1 hundredth 3 thousandths 13 thousandths notes

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two hundred seventy three thousandths standard form: ________________________ expanded form: using fractions ________________________ using decimals ________________________ are these the same? 2 tenths 73 thousandths 273 thousandths 27 hundredths 3 thousandths ???

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one and six hundred eight thousandths standard form: ________________________ expanded form: using fractions ________________________ using decimals ________________________

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Problem 3 represent a number in word, expanded and unit form 25.413 word form:__________________________ decimal unit form: ____________________ other unit forms: _____________________ 25 = 2 x 10 + 5 x 1 + 4 x + 1 x + 3 x 413 1000 1 10 1 100 1 1000 413 1000 25 = 25.413 Twenty-five and four hundred thirteen thousandths 25.413 = 2 x 10 + 5 x 1 + 4 x 0.1 + 1 x 0.01 + 3 x 0.001 2 tens 5 ones 4 tenths 1 hundredths 3 thousandths 25 ones 413 thousandths notes

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12.04 word form:__________________________ decimal unit form: ____________________ other unit forms: _____________________

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9.495 word form:__________________________ decimal unit form: ____________________ other unit forms: _____________________

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Problem 4 write the standard, expanded and unit forms four hundred four thousandths four hundred and four thousandths write the expanded and unit forms of each number four hundred four thousandths = = 0.404 404 1000 404 1000 = 4 x + 4 x 110 110 1 1000 0.404 = 4 x 0.1 + 4 x 0.001 4 tenths 4 thousandths notes four hundred and four thousandths = 400 4 1000 = 400.004 4 1000 400 = 4 x 100 + 4 x 1 1000 400.004 = 4 x 100 + 4 x 0.001 notes 2

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two hundred two thousandths nine hundred and nine tenths write the expanded and unit forms of each number

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Problem Set (10 minutes) Do Your Personal Best (Complete independently!)

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Student Debrief (10 minutes) How is expanded form related to the standard form of a number? When might expanded form be useful as a calculation tool? Compare your answers to #1 c and d. What is the importance of the word and when naming decimals in standard form? What is the purpose of writing a decimal number in expanded form using fractions? What was the objective of our lesson today? Which tasks in #1 are alike? Why?

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EXIT TICKET (3 minutes) Complete the exit ticket and turn in...

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HOMEWORK

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