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 0.6 102

Write 2.784 x 103

Write 6583 103

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 = 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 ________________________

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

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:__________________________ 25 = 2 x 10 + 5 x 1 + 4 x + 1 x + 3 x 413 1000 1 10 100 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 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 + 4 x 1 10 0.404 = 4 x 0.1 + 4 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 = 400.004 400 = 4 x 100 + 4 x 1 400.004 = 4 x 100 + 4 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