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**Decimal Fractions and Place Value Patterns**

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

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

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**MATERIALS NEEDED FOR THIS LESSON Student Student Pages Teacher**

Place Value Chart Personal White Boards Sprint A & B Problem Set Exit Ticket Homework Teacher Teacher Pages

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**Fluency Practice (12 minutes)**

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**Do as many problems as you can.**

Multiply and Divide by 10, 100, 1000 4.NBT.1 8 minutes SPRINT A 1 minutes Do as many problems as you can. Do your personal best. Take your mark! Get set! THINK!

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**Do as many problems as you can.**

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!

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**Write 54 tenths as a decimal**

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

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Write 0.6 x 102

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Write

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Write x 103

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Write

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**3 m = _____ cm Show on your place value chart.**

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?

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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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**three thousand forty seven**

Opener three thousand forty seven standard form: _____________________

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**one thousandths Problem 1 one thousandth = 0.001 = 1 1000**

Represent in standard and unit form. one thousandths one thousandth = = 1 1000 1 = 1 x 1 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 ________________________

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**If you had 3 copies of 1 thousandths, how many thousandths is that? **

three thousandth = = 3 1000 3 = 3 x 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 ________________________

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**thirteen thousandths Problem 2 thirteen thousandth = 0.013 = 13 1000**

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

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**are these the same? 2 tenths 73 thousandths**

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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**25.413 Problem 3 25 = 25.413 word form:__________________________**

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

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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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**four hundred four thousandths four hundred and four thousandths**

Problem 4 write the standard, expanded and unit forms four hundred four thousandths = = 0.404 404 1000 = 4 x x 1 10 0.404 = 4 x x 0.001 4 tenths 4 thousandths notes write the expanded and unit forms
of each number four hundred four thousandths four hundred and four thousandths four hundred and four thousandths = 400 4 1000 = = 4 x x 1 = 4 x 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 two hundred two thousandths nine hundred and nine tenths

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**Problem Set (10 minutes) Do Your Personal Best**

(Complete independently!)

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**Student Debrief (10 minutes)**

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

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

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HOMEWORK

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