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Eureka Math

5th Grade

Module 1

Lesson 6

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.

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Customize this Slideshow

Reflecting your Teaching Style and Learning Needs of Your Students

  • When the Google Slides presentation is opened, it will look like Screen A.
  • Click on the “pop-out” button in the upper right hand corner to change the view.
  • The view now looks like Screen B.
  • Within Google Slides (not Chrome), choose FILE.
  • Choose MAKE A COPY and rename your presentation.
  • Google Slides will open your renamed presentation.
  • It is now editable & housed in MY DRIVE.

Screen A

“pop-out”

Screen B

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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

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Hmm. Can you find the error in this pie graph?

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I can compare decimal fractions to the thousandths using like units, and express comparisons with >, <, =.

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Fluency

What is halfway between 0 ones and 10 ones?

0

10

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Fluency

1

5

How many tenths is 1?

0

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Fluency

1

10 tenths = 1

0

1

0.5

What decimal is halfway between 0 and 1 (10 tenths)?

(Answer on “click”)

0

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Fluency: Rename the units

(Answers for each on “click”)

100 cm = ______ m

200 cm = ______ m

700 cm = ______ m

750 cm = ______ m ______ cm

1

2

7

7 50

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Fluency: Multiply by Decimal Fractions (animated “click”)

3 x 10 = 30

3

4 x 1 = 4

4

6 x 0.1 = 0.6

6

5 x 0.01= 0.05

2 x 0.001= 0.002

5

2

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Fluency: Multiply by Decimal Fractions (animated on click)

Let’s look at it as fractions...

3 x 10 = 30

3

4 x 1 = 4

4

6 x 1/10 = 0.6

6

5 x 1/100 = 0.05

2 x 1/1000 = 0.002

5

2

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Think of it as an addition equation

30 + 4 + 0.6 + 0.05 + 0.002 = 34.652

(3 x 10) + (4 x 1) + (6 x 0.1) + (5 x 0.01) + (2 x 0.001)

OR

(3 x 10) + (4 x 1) + (6 x 1/10) + (5 x 1/100) + (2 x 1/1000)

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Application Problem

Ms. Meyer measured the edge of her dining table to the hundredths of a meter. The edge of the table measured 32.15 meters. Write her measurement in word form, unit form, and expanded form using fractions and decimals.

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Application Problem

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Content Development

Problem 1

Read the numbers:

13,196 13,296

Which number is larger? How can you tell?

Millions to thousandths place value chart (Lesson 1 template)

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Content Development

Problem 1

Read the numbers:

13,196 < 13,296

Which number is larger? How can you tell?

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Content Development

Problem 2

2

Say the digits that you wrote on your chart.

0

0

0

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Content Development

Problem 2

Write 2 thousandths in standard form on your place value chart.

Millions to thousands place value chart (Lesson 1 template)

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Content Development

Problem 2

2

Write 12 thousandths in standard form underneath 0.002 on your chart.

0

0

0

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Content Development

Problem 2

2

Say the digits that your wrote on your chart.

0

0

0

2

1

0

0

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Content Development

Problem 2

2

Say this number in unit form.

Which number is larger?

Turn and talk to your partner about how you can tell.

Then write an expression comparing these two values.

0

0

0

2

1

0

0

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Content Development

Problem 2

0.002 < 0.012

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Content Development

Problem 3

Write 3 tenths in standard form on your place value chart.

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Content Development

Problem 3

Write 299 thousandths in standard form on your place value chart under 3 tenths.

3

0

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Content Development

Problem 3

Which decimal has more tenths?

If we traded 3 tenths for thousandths, how many thousandths would we need? Turn and talk to your partner.

3

0

0

2

9

9

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Content Development

Problem 3

Name these decimals using unit form and compare. Tell your partner which is more.

Then show this relationship with a symbol.

3

0

0

2

9

9

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Content Development

Problem 3

0.299 < 0.3

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Content Development

Problem 4

Order from least to greatest:

0.413, 0.056, 0.164, and 0.531

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Problem Set

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Debrief

  • How is comparing whole numbers like comparing decimal fractions? How is it different?
  • You learned two strategies to help you compare numbers (finding a common unit and looking at the place value chart). Which strategy do you like best? Explain.
  • On problem 5, what is the mistake that Lance is making? How could Angel have named his quantity of water so that the units were the same as Lance’s? How would using the same units have helped Lance to make a correct comparison? How is renaming these decimals in the same unit like changing fractions to like denominators?

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Debrief

  • Compare 7 tens and 7 tenths. How are they alike? How are they different?

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Exit Ticket