# Decimal Fractions and Place Value Patterns

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

Fluency Practice (12 minutes)

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!

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!

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

Write 0.6 x 102

Write

Write x 103

Write

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?

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.

Concept Development (30 minutes)

three thousand forty seven
Opener three thousand forty seven standard form: _____________________

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 ________________________

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 ________________________

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 ________________________

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 ???

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

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: _____________________

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

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

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

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

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? 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?

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

HOMEWORK