Eureka Math
5th Grade
Module 1
Lesson 11
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 multiply a decimal fraction by a single digit whole number and demonstrate my understanding of place value and the area model.
Take Out the Unit
Fill in the blank:
1.234 = ______ thousandths
(Think: One thousand thousandths = 1)
65.247 (Say in unit form)
76.358 = 7 tens _____ thousandths.
Add Decimals
Write the addition sentences in standard form then solve:
7258 thousandths + 1 thousandth = ____
Write the addition sentence in standard form.
7 ones 258 thousandths + 3 hundredths
7 ones 258 thousandths + 4 tenths,
6 ones 453 thousandths + 4 hundredths
Subtract Decimals
4 ones 8 hundredths – 2 ones = ___ ones ___ hundredths
Write the subtraction sentence in standard form
9 tenths 7 thousandths – 4 thousandths
4 ones 582 thousandths – 3 hundredths
9 ones 708 thousandths – 4 tenths
4 ones 73 thousandths – 4 hundredths
Application Problem
After school, Marcus ran 3.2 km, and Cindy ran 1.95 km. Who ran farther? How much farther?
Multiplying Decimals
Solve using disks on your place value chart
3 × 0.2 = 0.6
3 × 0.3 = 0.9
4 × 0.3 = 1.2
ones | tenths | hundredths | thousandths |
| | | |
Multiplying Decimals
Solve using disks on your place value chart
3 × 0.2 = 0.6
Multiplying Decimals
Solve using disks on your place value chart
3 × 0.3 = 0.9
4 × 0.3 = 1.2
Multiplying Decimals
Solve using disks on your place value chart
2 × 0.43 = 0.86
2 × 0.423 = 0.846
4 × 0.423 = 1.692
ones | tenths | hundredths | thousandths |
| | | |
Multiplying Decimals
Solve using disks on your place value chart
2 × 0.43 = 0.86
Multiplying Decimals
Solve using disks on your place value chart
2 × 0.423 = 0.846
Multiplying Decimals
Solve using an area model:
2 × 0.423 = 0.846
x 4 tenths + 2 hundredths + 3 thousandths
2
|
| |
Multiplying Decimals
Solve using an area model:
2 × 0.423 = 0.846
x 4 tenths + 2 hundredths + 3 thousandths
2
0.8 + .04 + .006 = 0.846
8 tenths |
4 hundredths | 6 thousandths |
Multiplying Decimals
4 × 0.423 = _______
Solve using disks on your place value chart
ones | tenths | hundredths | thousandths |
| | | |
Multiplying Decimals
4 × 0.423 = _______
Solve using disks on your place value chart
Multiplying Decimals
4 × 0.423 = _______
Solve using an area model:
X 4 tenths + 2 hundredths + 3 thousandths
4
| | |
Multiplying Decimals
4 × 0.423 = _______
Solve using an area model:
X 4 tenths + 2 hundredths + 3 thousandths
4
1.6 + .08 + .012 + 1.692
16 tenths | 8 hundredths | 12 thousandths |
Multiplying Decimals
Use the area model to represent the distributive property.
6 × 1.21
7 × 2.41
8 × 2.34
Problem Set
Debrief
What concept did we learn today? What models did we use to demonstrate understanding?
Let’s Compare our work on Problems 1(c) and 1(d). Did we all answer the same way? Did some of us regroup and others of us didn’t?
Are both of these responses correct? Is one answer better than the other.
Problem 3 points out a common error in student thinking when multiplying decimals by whole numbers. Who will share their model for correcting Miles’s error?
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Exit Ticket