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## Topic B D ecimal Fractions and Place Value Patterns

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**Topic B**Decimal Fractions and Place Value Patterns STANDARD - 5.NBT.3**Grade 5**Module 1 Lesson 5 Objective: Name decimal fractions in expanded, unit and word form by applying place value reasoning.**MATERIALS NEEDED**FOR THIS LESSON Student Student Pages Place Value Chart Personal White Boards Sprint A & B Problem Set Exit Ticket Homework Teacher Teacher Pages**Multiply and Divide by 10, 100, 1000**8 minutes 4.NBT.1 SPRINT A 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**4.NBT.1 SPRINT B 1 minutes Do as many problems as you can. Do your personal best. Take your mark! Get set! THINK!**Multiply and Divide by Exponents**2 minutes 5.NBT.2 Write 54 tenths as a decimal**Multiplying Metric Units**2 minutes 5.MD.1 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.**7 kg = _____ g**7000 ml = _____ l 7500 m = _____ km _____ m 8350 g = _____ kg _____ g**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.**Opener**three thousand forty seven standard form: _____________________**Problem 1**Represent in standard and unit form. one thousandths one thousandth = 0.001 = 1 1000 1 = 1 x 1 1000 1000 0.001 = 1 x 0.001 1 thousandths notes 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 1000 0.003 = 3 x 0.001 3 thousandths notes Write in digits on place value chart. standard form: ________________________ as a fraction: ________________________ expanded form: using fractions ________________________ using decimals ________________________**Problem 2**represent a number thousandths in standard form and unit form thirteen thousandth = 0.013 = 13 1000 13 = 1000 0.013 x 0.01+ 3 x 0.001 1 hundredth 3 thousandths 13 thousandths notes thirteen thousandths standard form: ________________________ expanded form: using fractions ________________________ using decimals ________________________**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 ???**one and six hundred eight thousandths**standard form: ________________________ expanded form: using fractions ________________________ using decimals ________________________**Problem 3**Twenty-five and four hundred thirteen thousandths notes represent a number in word, expanded and unit form 413 1000 25.413 25 = 25.413 1 10 1 100 413 1000 1 1000 25 = 2 x 10 + 5 x 1 + 4 x + 1 x + 3 x word form:__________________________ decimal unit form: ____________________ other unit forms: _____________________ 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**12.04**word form:__________________________ decimal unit form: ____________________ other unit forms: _____________________**9.495**word form:__________________________ decimal unit form: ____________________ other unit forms: _____________________**Problem 4**write the standard, expanded and unit forms write the expanded and unit forms of each number 404 1000 four hundred four thousandths = = 0.404 404 1000 1 10 1 1000 = 4 x + 4 x four hundred four thousandths four hundred and four thousandths notes 4 1000 four hundred and four thousandths = 400 = 400.004 0.404 = 4 x 0.1 + 4 x 0.001 4 tenths 4 thousandths 4 1000 1 1000 400 = 4 x 100 + 4 x 400.004 = 4 x 100 + 4 x 0.001 notes 2**write the expanded and unit forms of each number**two hundred two thousandths nine hundred and nine tenths**Problem Set (10 minutes)**Do Your Personal Best (Complete independently!)**Student Debrief (10 minutes)**When might expanded form be useful as a calculation tool? Which tasks in #1 are alike? Why? What is the purpose of writing a decimal number in expanded form using fractions? What was the objective of our lesson today? How is expanded form related to the standard form of a number? Compare your answers to #1 c and d. What is the importance of the word and when naming decimals in standard form?**EXIT TICKET (3 minutes)**Complete the exit ticket and turn in...