Unit 6 Lesson 4-8

1

4

9

6

3

7

5

2

0

8

Math Lesson

Unit 6 Lesson 4-8

Today's Lesson 4-8,Unit 6

• Fluency Practice

• Application Problem

• Concept Development

• Student Debrief(DOL)

TEK(S)

​4.2B,4.2E,4.2G

1

3

6

8

4

9

7

5

2

0

Write a brief description here.

Write a brief description here.

Learning Goal

●

Vocabulary

Guided Questions

​Success Criteria

​LO:  I am learning to model mixed numbers with units of hundreds, tens, ones, tenths, and hundredths in expanded notation and on the place value chart.

LO: I am learning to compare and order decimals 

​-I can model decimals in expanded form.
-I can model decimals in word form.
- I can model decimals using the area model, number line, and money.

​Decimal
tenths
Hundredths
place value
expanded notation
word form
standard form

​-What is a decimal?
-How to model decimals?

Model
money
whole
number line

Application Problem

Read. Draw. Write.

ON TABLE

Quizizz Code:
8689 1573

89213469

​4.5A

​4.5A

8

1

3

4

0

2

7

5

6

CONCEPT DEVELOPMENT

9

TIME

Decimal Sizes

Think of Money:

one tenth= 1 dime (10 cents)

one hundredth= 1 penny (1 cent)

one thousandth=there is no money to represent it. It would be 1/10 of a penny.

​

8

1

3

4

0

2

7

5

6

CONCEPT DEVELOPMENT

9

TIME

8

1

3

4

0

2

7

5

6

CONCEPT DEVELOPMENT

9

TIME

​Decimal Models

​Decimals name value less than one and can be modeled many ways.

​

​You should be able to identify it within a grid, money amounts or a place value chart.

8

1

3

4

0

2

7

5

6

9

TIME

Student Debrief

8

1

3

4

0

2

7

5

6

9

TIME

Student Debrief: EXIT TICKET

​Combinations

Multiple Choice

What is 8.23 in expanded notation?

• (8x100) + (2x10) + (3x1)

• 8 + 0.20 + 0.03

• (8x1) + (2x0.1) + (3x0.01)

• (8x8) + (2x0.2) + (3x0.03)

Multiple Choice

The number below is written in expanded notation.

(1 x 1,000) + (5 x 100) + (9 x 1) + (7 x 0.1) + (4 x 0.01)

How is this number written in standard form?

• 15,974

• 1,590.74

• 1,509.74

• 1,597.4

Multiple Choice

What is the correct way to show 48.02 written in expanded notation?

• (4 X 100) + (8 X 10) + (2 X 0.1)

• (4 X 10) + (8 X 1) + (2 X 0.1)

• ( 4 X 10) + (8 X 1) + (2 X 0.01)

Multiple Select

Select the two that equal - 4x100 + 2x10 + 3x1 + 5x1/10

• 423.5

• Four hundred twenty three and five tenths

• 342.5

• 423.05

Multiple Choice

What is the decimal form of thirty-two hundredths?

• 0.42

• 0.32

• 3.2

• .032

Multiple Choice

What is three and forty-eight hundredths written in explanded notation?

• (3 X 1) + (4 X 0.01) + (8 X 0.1)

• (3 X 0.4 X 0.08)

• (3 X 1) + (4 X 0.1) + (8 X 0.01)

• ( 3 X 100) + (4 X 10) + (8 X 1)

Multiple Choice

What is 0.4 in word form?

• four hundredths

• fourteen hundredths

• four tenths

• four thousandths

Dropdown

​

Select answer

Multiple Choice

What number did Jorge model?

• 2.08

• 2.8

• 28

• 280

Multiple Choice

The number below is written in expanded notation.

(1 x 1,000) + (5 x 100) + (9 x 1) + (7 x 0.1) + (4 x 0.01)

How is this number written in standard form?

• 15,974

• 1,590.74

• 1,509.74

• 1,597.4

Multiple Choice

Lizzy thinks of a mystery number. She writes 4 clues for the number. 
-The number contains 7 digits. 
-The number contains a 5 with a value of 5 hundredths. 
-The number contains a 2 with a value of 20,000. 
-The number contains 8 tens. 
Which could be Lizzy's number?

• 7,328,510
• 520,586.45
• 307,527.8
• 24,083.15

Multiple Choice

The Kuril Trench is 34,586.60 ft. 
Which of these does NOT represent the depth of the Kuril Trench?

• 34 thousands + 5 hundreds + 8 tens + 6 ones + 6 tenths
• 30,000 + 4,000 + 500 + 80 + 6 + 0.6
• 30,000 + 4,000 + 400 + 160 + 61 + 0.6
• 20,000 + 14,000 + 500 + 50 + 36 + 0.6

Multiple Choice

In the number 61.39 the 3 has a value of...

• 30 because 3 × 10 = 30.

• 3 because 3 × 1 = 3.

• 3 tenths because 3 × .1 = .3.

• 3 hundredths because 3 × .01 = .03.

Multiple Choice

In the number 48.16 the 1 has a value of...

• 10 because 1 × 10 = 10.

• 1 because 1 × 1 = 1.

• 1 tenth because 1 × .1 = .1.

• 1 hundredth because 1 × .01 = .01.

Multiple Choice

The 7 in the number 35.27 has a value of...

• 70 because 7 × 10 = 70

• 7 because 7 × 1 = 7

• 7 tenths because 7 × .1 = .7.

• 7 hundredths because 7 × .01 = .07.

Multiple Choice

The 9 in the number 19.58 has a value of...

• 90 because 9 × 10 = 90

• 9 because 9 × 1 = 9

• 9 tenths because 9 × .1 = .9

• 9 hundredths because 9 × .01 = .09

one tenth

The square is divided into ten parts. This is one tenth. It is written as a decimal as 0.1

The one is in the tenth's place.

one hundredth

The square is divided into one hundred parts. This is one hundredth. It is written as a decimal as 0.01

The one is in the hundredth's place.

Equivalent Decimals

0.4 = 0.40

Four out of ten is the same as forty out of one hundred.

​One Whole

​One Tenth

​One Hundredth

Multiple Choice

What decimal number does this picture represent?

• .5

• .05

• 5.00

• 5/10

Multiple Choice

What decimal number does this represent?

• 4.4

• 4.04

• 0.044

• 0.44

Multiple Choice

What decimal value does this picture represent?

• 2.74

• 27.4

• 0.74

• 0.27

Multiple Choice

What decimal is represented by this model? The square represents one whole.

• 0.46

• 4.6

• 0.56

Multiple Choice

What decimal is represented by this model? There are two squares. One is totally shaded.

• 0.11

• 11.0

• 1.1

Multiple Select

0.9 =

Choose TWO answers.

• ninety hundredths

• 0.90

• 9.0

Multiple Select

Choose THREE answers that match the shaded portion of the square.

• 0.34

• three fourths

• 0.75

• seventy-five hundredths

Multiple Select

Choose FOUR answers that match the shaded portion of the square.

• 0.5

• 0.50

• one fourth

• one half

• fifty hundredths

Multiple Select

Check three answer choices that match the shaded part of this square.

• one fourth

• twenty-five hundredths

• 0.14

• 0.25

Multiple Select

Which fraction and decimal are equivalent? Choose all that apply.

• $$\frac{4}{10}$$ and 0.04

• $$\frac{6}{100}$$ and 0.60

• $$\frac{3}{10}$$ and 0.3

• $$\frac{9}{100}$$ and 0.09

Multiple Choice

What is 0.75 written as a fraction?

• $$\frac{.75}{100}$$

• $$\frac{0}{75}$$

• $$\frac{75}{100}$$

• $$\frac{75}{10}$$

Multiple Choice

What decimal names the same amount as $$\frac{50}{100}$$  ?

• 0.50

• 0.05

• 50.0

• 50.10

Multiple Choice

Is $$\frac{15}{100}$$  equivalent to  $$\frac{15}{10}$$  ?

• Yes

• No

Multiple Choice

Is the number below equivalent to $$\frac{15}{100}$$  ?


fifteen hundredths

• Yes

• No

Multiple Choice

Which decimal and fraction does the model represent?

Math Response

Type answer here

Correct Answer: 2.5

Deg^°

Rad

Multiple Select

Which THREE cards represent the same value?

• A) 2.5

• B) $$\frac{25}{100}$$

• C) $$2\frac{5}{100}$$

• D) $$2\ \frac{2}{25}$$

• E) 2.05

Multiple Choice

• 7.4 and $$7\ \frac{4}{10}$$

• 7.04 and $$7\ \frac{4}{100}$$

• 7.04 and $$7\ \frac{4}{10}$$

• 7.4 and $$7\ \frac{4}{100}$$

Math Response

What FRACTION does this model represent?

Type answer here

Correct Answer: \frac{77}{100}

Deg^°

Rad

Math Response

What DECIMAL does this model represent?

Type answer here

Correct Answer: 0.77

Deg^°

Rad

Dropdown

$$\frac{65}{100}$$ is equivalent to ​ ​

Select answer

​

Dropdown

$$\frac{1}{2}$$ is exactly ​

Select answer

Multiple Choice

• $$9\ \frac{5}{10}$$

• $$9\ \frac{5}{100}$$

• $$\frac{95}{100}$$

• $$\frac{95}{1,000}$$

​Remember the coins

​Recognize the front and backs of the coins and their values.

Multiple Choice

Each collection of money represents a different amount. In which amount of money does the digit 3 represent 3 hundredths?

8

1

3

4

0

2

7

5

6

9

TIME

Multiple Choice

• A

• B

• C

• D

Multiple Choice

The heights of four friends are shown. Which statement is true?

• Carnie is tallest and Arnie is shortest.
• Carnie is tallest and Bernie is shortest.
• Darryl is tallest and Arnie is shortest.
• Darryl is tallest and Bernie is shortest.

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Select

• A

• B

• C

• D

Reorder

Order the decimal greatest to least.

• 2.4

• 2.12

• 1.3

• 1.07

• 0.55

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Multiple Choice

Choose the symbol which makes the comparison correct.

0.50 _____ 0.5

• <

• >

• =

Dropdown

Choose the symbol which makes the comparison correct.

0.78 ____ 0.77

Select answer

Drag and Drop

0.65 is _________ 0.69

Placeholder

Drag these tiles and drop them in the correct blank above

< less than

> greater than

= equal to

Multiple Choice

Order from least to greatest. 1.25  1.52  1.02  1.50

• 1.25  1.52  1.02  1.50
•  1.52  1.02  1.50  1.25 
•  1.02  1.50  1.25  1.52 
• 1.02  1.25  1.50  1.52

Multiple Choice

Write in order from greatest to least.
9.21, 9.0, 9.2, 9.06

• 9.0, 9.06, 9.2, 9.21
• 9.21, 9.2, 9.06, 9.0
• 9.0, 9.2, 9.06, 9.21
• 9.21, 9.06, 9.2, 9.0

Multiple Choice

• D. None of these

Multiple Choice

Which choice lists the swimmers' times in order from least to greatest?

• Vanderkaay, Sun, Hao, Park

• Park, Vanderkaay, Sun, Hao

• Sun, Park, Vanderkaay, Hao

• Sun, Vanderkaay, Hao, Park

Hotspot

If the zookeeper listed the weights of the 4 animals from least to greatest, which animal's weight would be second on the list?

Labelling

Compare by labeling the correct comparison.

Drag labels to their correct position on the image

>

<

=