Fractions on the Number Line. Remember when... You created boxes to represent fractions? First, you...

Post on 23-Dec-2015

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Fractions on the Number

Line

Remember when...You created boxes to represent fractions?

First, you drew a rectangular box.Then you used the denominator to split the box.Then you used the numerator to shade the box.

13

Do You Remember Now?

First, you drew a rectangular box.Then you used the denominator to split the box.Then you used the numerator to shade the box.

34

Let’s Take It to the Next Level!Place on the number line.

Do the same thing as before!Just put the box on the line!

First, draw a box from 0 to 1.Then use the denominator to split the box.Then use the numerator to shade the box.

0 1Where you stop is where the fraction is on the number

line!

𝟏𝟑

Let’s Try It Again!Place on the number line.

Do the same thing as before!Just put the box on the line!

First, draw a box from 0 to 1.Then use the denominator to split the box.Then use the numerator to shade the box.

0 1𝟑𝟒Where you stop is

where the fraction is on the number

line!

Remember…

ALWAYS start shading at zero!

What About Negative Fractions?

Place - on the number line.

Do the same thing as before!Just put the box on the line!This time, draw a box from 0 to -1.

Then use the denominator to split the box.Then use the numerator to shade the box.

-1 0−𝟏𝟑

Where you stop is where the fraction is on the number

line!

Remember…

ALWAYS start shading at zero!

Let’s Try Another Negative Fraction!

Place on the number line.

Do the same thing as before!Just put the box on the line!This time, draw a box from 0 to -1.

Then use the denominator to split the box.Then use the numerator to shade the box.

-1 0−𝟑𝟒 Where you stop is

where the fraction is on the number

line!

But…

What If I Have to Name the Fraction?

Name That Fraction!What rational number does A represent?

Just use the lines that are there!Draw the box from 0 to 1.

Count how many spaces are in the box for the denominator.

Then starting at 0, shade each space until you reach the letter for the numerator.

However many spaces you shade is

the numerator!

𝑨

0 1

321 __

A =

Remember…

ALWAYS start shading at zero!

Name That Fraction!What rational number does A represent?

Just use the lines that are there!Draw the box from 0 to 1.

Count how many spaces are in the box for the denominator.

Then starting at 0, shade each space until you reach the letter for the numerator.

However many spaces you shaded is the numerator!

421 __

A =

𝑨

0 1

3

Remember…

ALWAYS start shading at zero!

Name That Negative Fraction!

What rational number does A represent?

Just use the lines that are there!Draw the box from 0 to -1.

Count how many spaces are in the box for the denominator.

Then starting at 0, shade each space until you reach the letter for the numerator.

However many spaces you shade is

the numerator!

𝑨

-1 0

123 -__

A = -

Remember…

ALWAYS start shading at zero!

Try Again!What rational number does A represent?

Just use the lines that are there!Draw the box from 0 to -1.

Count how many spaces are in the box for the denominator.

Then starting at 0, shade each space until you reach the letter for the numerator.

However many spaces you shaded is the numerator!

4 2 1 -__

A = -

𝑨

-1 0

3