Decimals and Fractions Modeled

4.NF.6

What do you notice? What do you wonder?

If the green square equals 1, how could we name the value shown on each of the other models?

1

whole

If the green square equals 1, how could we name the value shown on each of the other models?

1

whole

We can identify the value with a fraction.

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1

We can identify the value with a fraction.

We can also identify the value with a decimal.

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1

= 0.65

= 0.50

= 0.3

= 0.5

Where have you seen decimals in the real world?

Where have you seen decimals in the real world?

Decimals and Fractions

• Decimals and fractions can both be used to represent parts of a whole.

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Here are some things to know and some skills we will develop!

= 0.8

Decimals and Fractions

• Decimals and fractions can both be used to represent parts of a whole.

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Here are some things to know and some skills we will develop!

= 0.8

When I read this decimal aloud, it sounds exactly like the fraction. I read it as eight-tenths.

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Decimals and Fractions

• Decimals and fractions can both be used to represent parts of a whole.

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• Fractions with a denominator of 10 or 100 can be written as decimals. These fractions are sometimes referred to as decimal fractions.

Here are some things to know and some skills we will develop!

= 0.8

Decimals and Place Value

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We will extend our place value understanding beyond whole numbers.

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479

Look at the number below.

Take a moment to consider what you know about place value.

Decimals and Place Value

We will extend our place value understanding beyond whole numbers.

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479

hundreds

tens

ones

Decimals and Place Value

We will extend our place value understanding beyond whole numbers.

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479

hundreds

tens

ones

tenths

hundredths

Decimals and Place Value

We will extend our place value understanding beyond whole numbers.

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479

hundreds

tens

ones

tenths

hundredths

The digits to the right of the decimal point represent parts of a whole.

Let’s practice representing decimals.

Use the virtual manipulative to represent:

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Let’s practice representing decimals.

Use the virtual manipulative to represent:

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Did your model show two parts out of a total of 10 parts?

Let’s practice representing decimals.

Use the virtual manipulative to represent:

Click if you want, or build off of your previous representation.

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Let’s practice representing decimals.

Use the virtual manipulative to represent:

Did your model show five parts out of a total of 10 parts?

Let’s practice representing decimals.

Without starting over, click 100 as your

number of tiles.

What do you notice about your representation?

Representing Decimals

What did you notice about how your representation changed?

= .5

= .50

What is your favorite thing about winter?

Time for a wintry break!

Let’s practice some more!

• Let’s look at the visual representation. We will identify the matching decimal.

Let’s practice some more!

• Which decimal matches the representation?

0.9

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0.09

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Let’s practice some more!

• Which decimal matches the representation?

0.9

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0.09

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The model shows 9 parts out of 100, so the 9 should be in the hundredths place.

Let’s practice some more!

• Let’s look at the visual representation. We will identify the matching decimal.

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Let’s practice some more!

• Which decimal matches the representation?

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0.7

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0.07

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Let’s practice some more!

• Which decimal matches the representation?

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0.7

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0.07

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The model shows 7 parts out of 10, so the 7 should be in the tenths place.

Let’s use the virtual manipulative.

• Click and create a representation for 0.7.

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0.7

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Let’s use the virtual manipulative.

• Without starting over, click 100 as your number of tiles.

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0.7

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Decimal Equivalence

Did you notice that 0.7 and 0.70 are equal?

0.7

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0.70

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Let’s practice!

• Identify the matching decimal.

0.32

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0.032

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Let’s practice!

• Identify the matching decimal.

0.09

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0.90

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Let’s practice!

• Type the value as a decimal fraction and a decimal.

Let’s practice!

• Type the value as a decimal fraction and a decimal.

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Let’s practice!

• Type the value as a decimal fraction and a decimal.

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Let’s practice!

• Type the value as a decimal fraction and a decimal.

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Let’s practice!

• Type the value as a decimal fraction and a decimal.

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Decimals and Fractions Modeled

4.NF.6