Fractional numerals

Fractions Unit

Numerator = # on top

Denominator = # on the bottom

(down below)

How many equal parts are described?

The Denominator

How many equal parts are in all (total)?

You can also write it: 1/2

Parts of a Whole

• Whole = 1 complete thing

• Different from a hole in the ground

1 WHOLE  fraction

• The top number and the bottom are the same!

4 5 8 55 86

4 5 8 55 86

• Give me some more fractions that equal 1 whole!

Parts of a Whole

4/6

Parts of a Whole

What’s the fraction we should write for each?

Write a fraction for the part of each flag that is red.

Italy

Indonesia

Taiwan

Austria

Germany

Spain

Draw a model to show each fraction:

3 4 1

10 8 6

Parts of a Set

• What is the total number of fruits?

• This will be your denominator!
• This will be your denominator!

• What fraction of this set are bananas?
• What fraction of this set are bananas?

• What fraction of this set are oranges?
• What fraction of this set are oranges?

• What fraction of this set are apples?
• What fraction of this set are apples?

What fraction of each set is blue?

Draw a picture to show the fraction 3/5 as part of a set!

If 1/3 of a set is apples, what part is NOT apples?

Draw a model of a set to show each fraction.

2 1 5 7

3 5 6 8

Fractions on a Number Line

• Fraction Strips

How many parts?

How many parts?

How many parts?

How many parts?

Fractions on a number line (continued)

What are the fractions shaded on the number lines?

Fractions on Unlabeled Number Lines

Count the spaces, not the ticks!

The total number of spaces is the number that goes in the denominator!

Fractions on Unlabeled Number Lines

Count the spaces, not the ticks!

A

B

C

D

The total number of spaces is the number that goes in the denominator!

Write the missing fractions:

1

0

First, count the total number of spaces between 0 and 1 to figure out the denominator!

Draw your own number line and label the spaces.

1

0

Remember: count the total number of spaces between 0 and 1 to figure out the denominator!

Proper Fraction

• Proper fraction: fraction with a smaller number on top (numerator) than the bottom (denominator)

Talk with a partner, think up and write 2 more PROPER FRACTIONS on your worksheet packet page.

Math Riddle! (from Rishubh)

• Using four 9’s, create the number 100. You may add, subtract, multiply, divide, or use other mathematical symbols and terms.

Improper Fraction

• Improper Fraction: fraction with the top number (numerator) larger than the bottom number (denominator).

Talk with a partner, think up and write 2 more IMPROPER FRACTIONS on your worksheet packet page.

Whole Number

• Whole number: regular whole numbers without fractions.

Talk with a partner, think up and write 2 more WHOLE NUMBERS on your worksheet packet page.

Mixed Number

• Mixed Number: A whole number WITH a fraction.

Whole Number

Talk with a partner, think up and write 2 more MIXED NUMBERS on your worksheet packet page.

Fraction

Mixed Number Models

• Mixed Number = A whole + a fraction

3 wholes + 5/6 (fraction) = mixed number

Complete These Statements:

• A mixed number is the sum of a _____________

And a ________________.

• The __________________ is the number on the bottom of a fraction, and the _________________ is the number on the top of a fraction.

Fractions as Division Statements

• Fractions are another way to write a division statement!

Fractions and Division are Related!

The numerator always goes inside the house!

4

5

Division

Fraction

The denominator always goes OUTSIDE the house!

Improper Fractions: YOU CAN DIVIDE!

• And get a whole number or mixed number!

12

4

Proper Fractions: You CANNOT get a whole number or mixed number.

2

3

Change each of the fractions into division statements.

3 9 8 4 5 20

8 12 13 10 4 192

Write each division statement as a fraction:

• (Bottom section of the worksheet page)

Measuring to the nearest fraction of an inch.

• What is between a 1 inch and a 2 inch on a ruler?

What do all the tick marks represent?

The tick marks represent fractions!

• Fractions are between each inch on a ruler.
• Using fractions of an inch makes your measuring more EXACT.

“ Benchmark” Fractions You Have to MEMORIZE!

3

1

5

7

8

8

8

8

1

3

4

4

1

2

0

1

How long is the length of the arrow to the nearest inch?

Benchmark means “standard.”

Fractions of an Inch Song

(to the tune of “Here We Go Round the Mulberry Bush”)

Tap your tip on a half of an inch,

Half of an inch, half of an inch.

Tap your tip on a half of an inch;

There’s 2 in every inch!

2

2

1 =

0

1

2

Fractions of an Inch Song Verse 2

Tap your tip on a quarter of an inch,

Quarter of an inch, quarter of an inch.

Tap your tip on a quarter of an inch;

There’s 4 in every inch!

1 = 2

2 4

4

4

1

2

3

4

4

4

1 =

0

Fractions of an Inch Song Verse 3

Tap your tip on a eighth of an inch,

Eighth of an inch, eighth of an inch.

Tap your tip on a eighth of an inch;

There’s 8 in every inch!

1 = 4

2 8

8

8

3

5

1

7

8

8

8

8

6

4

2

8

8

8

1 =

0

A Poem to Help Us Memorize

7

1

3

5

8

8

8

8

1

3

4

4

1

2

0

1

Start with one eighth, then one fourth,

Next three-eighths, and half of course!

After that comes five-eighths,

Three-fourths, seven-eighths—wow, we’re great!

Finding Fractions of An Inch Worksheet

• Trace each inch mark in yellow .
• Trace each half-inch (1/2) mark in orange .
• Trace each quarter-inch (1/4) mark in red .
• Trace each eighth-inch (1/8) mark in blue .
• Trace each sixteenth-inch (1/16) mark in green .

What if the marks are NOT labeled?

• Like on MOST rulers…

• That’s why you have them MEMORIZED…

• So…you can write them in yourself and still be able to measure to a fraction of an inch!
• So…you can write them in yourself and still be able to measure to a fraction of an inch!

Let’s practice!

0

1

inches

How long is the length of the arrow to the nearest fraction of an inch?

Share your answer with a partner!

Let’s keep practicing!

0

1

inches

How long is the length of the arrow to the nearest fraction of an inch?

Write your answer in your math notebook.

And some more!

0

1

inches

How long is the length of the arrow to the nearest fraction of an inch?

Write your answer in your math notebook.

Estimating Fractional Parts

Estimating means “guesstimating.”

5

3

7

1

8

8

8

8

1

3

4

4

1

2

0

1

Using the “benchmark fractions” we have been learning with measuring the nearest inch, we can “guesstimate” fractional parts too!

“ About” how much is shaded?

“ About” where is each point?

D

A

B

C

1

0

1 Whole in fraction form

Which one is NOT a whole number fraction?

10

10

1

1

1

5

8

8

5

5

73

73

9

9

Same digit on the top and same digit on the bottom!

6

6

102

44

44

102

Multiply a fraction by 1 = _______

THE SAME NUMBER!!!!

3

1

4

3

4

So…

4

4

3

4

Equivalent Fractions

• Fractions that are EQUAL to one another but “look” differently.

2

1

4

2

=

Fraction Bar Exploration!

• Equivalent Fractions are the same amount!

Talk and turn with your partner to identify 3 sets of fractions that are the same amount!

How can you find equivalent fractions without fraction bars?

• Remember: Any number multiplied or divided by 1 is always itself!

1

2

2

5

5

2

2

5

5

1

Brought to you by…the IDENTITIY PROPERTY!

What kind of fraction can represent 1?

• 5 OR 6 OR 8
• 5 6 8

So, here we divide 6/18 by 6/6 (which is really 1 whole to get it’s equivalent fraction relative!

Multiply to get a more “complicated” fraction!

Divide to get a more “simple” fraction!

Find an equivalent fraction for 2/5!

*Multiply it by any fraction that is equal to 1 whole!

2

5

Because you are multiplying will you get a more complicated or more simple equivalent fraction?

Find an equivalent fraction for 4/6!

*Divide it by any fraction that is equal to 1 whole!

4

6

Because you are dividing will you get a more complicated or more simple equivalent fraction?

Take a Quick Break!

Let’s do one with a friend!

1

2