Eureka Math
5th Grade
Module 1
Lesson 5
At the request of elementary teachers, a team of Bethel & Sumner educators met as a committee to create Eureka slideshow presentations. These presentations are not meant as a script, nor are they required to be used. Please customize as needed. Thank you to the many educators who contributed to this project!
Directions for customizing presentations are available on the next slide.
Customize this Slideshow
Reflecting your Teaching Style and Learning Needs of Your Students
Screen A
“pop-out”
Screen B
Icons
Read, Draw, Write
Learning Target
Think Pair Share
Individual
Partner
Whole Class
Small Group Time
Small Group
Personal White Board
Problem Set
Manipulatives Needed
Fluency
I can name decimal fractions in expanded, unit, and word forms by applying place value reasoning.
Fluency: Sprint
Multiply Decimals by 10, 100, and 1,000 (8 minutes)
Multiply and Divide by Exponents
Millions to thousandths place value chart
5
4
1) Say the decimal.
2) Multiply it by 102
3) Say the product
Multiplying Metric Units
3 m = ____ cm
Show 3 on your place value chart.
How many centimeters are in 1 meter?
Show how many centimeters are in 3 meters on your place value chart.
Mutliplying Metric Units
3
0
3
0
How many centimeters are in 3 meters?
Application Problem
Jordan measures a desk at 200cm. James measures the same desk in millimeters, and Amy measures the same desk in meters. What is James’ measurement in millimeters? What is Amy’s measurement in meters? Show your thinking using a place value chart or an equation with exponents.
Application Problem
Content Development
On your personal white board, write this number in standard form, expanded form, and unit form.
3,047
Explain to your partner the purpose of writing this number in these different forms.
Thousands through thousandths place value chart
Content Development
Problem 1: Write 1 thousandth using digits on your place value chart.
How many ones? Tenths? Hundredths? Thousandths?
Content Development
0
1
0
0
This is the standard form of the decimal for 1 thousandth.
Content Development
We write 1 thousandth as a fraction like this:
1 thousandth is a single copy of a thousandth. We write the expanded form using a fraction like this:
And, we write the expanded form using a decimal like this:
1 x 0.001
Content Development
We write the unit form of 1 thousandth like this:
1 thousandth
Content Development
Problem 2: Imagine 3 copies of 1 thousandth. How many thousandths is that?
Content Development
3 thousandths is 3 copies of 1 thousandth. Turn and talk to your partner about how this is written in expanded form using a fraction and using a decimal.
Content Development
Write 13 thousandths in standard form and expanded form using fractions and then using decimals.
Turn and share with your partner.
Content Development
Standard form = 0.013
Expanded forms =
Now, write this decimal in unit form.
Content Development
1 hundredth 3 thousandths → 13 thousandths
Content Development
Problem 3:
Represent 25.413 in word, expanded, and unit form.
Content Development
Content Development
Problem 4:
Write the standard, expanded, and unit forms of
four hundred four thousandths
and
four hundred and four thousandths.
Content Development
Problem Set
Debrief
Exit Ticket