CHAPTER 13 FRACTIONS 4 TH GRADE. How much of the pie is shaded? How much of the pie is not shaded?

CHAPTER 13FRACTIONS

4TH GRADE

How much of the pie is shaded?

How much of the pie is not shaded?

What are the denominators?

What are the numerators?

What is equivalent to ½?

Which are equivalent to 1/3?

Fill in each box with the

correct number for the shaded portion.

How much cake did the kids eat?

How much cake is left?

Shade the correct parts to show the equivalent fraction.

What is the denominator?

What is the numerator?

What is the percent?

What is the denominator?

What is the numerator?

What is the percent?

+ =

What is the denominator?

What is the numerator?

What is the percent?

+ =

What is the denominator?

What is the numerator?

What is the percent?

- =

What is the denominator?

What is the numerator?

What is the percent?

- =

Write an equivalent fraction.

1/3 1/2 3/4 4/6 2/5

6/8 1/4 2/3 7/12 3/5

Write an equivalent fraction.

4/8 5/9 3/5 2/5 3/8

7/21 9/27 8/16 1/18 6/11

ESTIMATING FRACTIONAL PARTS

About what fraction of this square is orange?

What percent

is orange?

= %

ESTIMATING FRACTIONAL PARTS

About what fraction of this square is blue?

What percent

is blue?

= %

Estimate the fractional part of each that is green.

What fractional part is red?

= %

What fractional part is yellow?

= %

What fractional part is red

and yellow?

= %

What fractional part is green

and violet ?

= %

What fractional part is shaded?

What percentage is shaded?

Reduce it.

= %

Asia has more people than any other continent. About what

fraction of people on Earth live in Asia?

ASIA AFRICA EURO N.A. S.A

. A

Look at the bar graph below. Which student has about 1/3 as

many CDs as Bradon?

Chris Camron Bradon Lexie

If more than half of the garden is planted with corn, it is possible

to estimate that 2/3 is planted with beans?

A bowling alley has 32 bowling

balls. Eight are blue, 5 are pink,

6 are red and the rest are black.

How many are black?

Estimate the fractional part that is decorated.

FACTORS as FRACTIONS

10 = 1 x 10

or

10 = 10 x 1

FACTORS as FRACTIONS

10 = 1 x 10 10 = 10 x 1

or

10 = 2 x 5 or 10 = 5 x 2

Write the product of each number in TWO different ways.

36 42 12 64

12 20 28 8

25 45 30 99

Find all the factors of each number.

6 32 17 9 11

25 13 22 15 30

14 18 27 40 21

4 35 7 19 8

Destiny had 16 blouses.

She gets 2 more blouses for her

birthday. What are all of the

different equal groupings she

can make now?

As part of her science project, Darla is making a model of a wind farm. She wants to put 24 turbines in her model. What

are all the ways she can arrange 24 turbines?

Desie wants to put 15

pictures on her science board.

Describe every possible array

she can make.

Any number that has 9 as a

factor also has 3 as a factor.

WHY?

Can you think of some other

numbers that share factors?

The largest volcano on Earth is

Mauna Loa, located in Hawaii.

It is 30,080 feet tall from the sea

floor to its highest point.

If 13,680 feet of the volcano is

above sea level, how many feet

are below sea level?

About 50 out of 1,500 possible

active volcanoes on Earth erupt

every year. What are the

factors of 50?

On a large wind farm, there are

6 rows of 15 wind turbines each

and 4 rows of 11 wind turbines each.

How many wind turbines are there

on the wind farm in all?

A manatee is 12 feet long.

If 1 foot equals 12 inches, how

many inches long is the manatee?

MULTIPLESHow can you find multiples

of a number?

It takes 8 minutes for a car on the roller coaster to make the complete trip.

How many trips will it make in 1 hour?

Write 5 multiples of each number.

100 3 9 10 14

7 1 4 12 25

45 6 27 5 11

8 13 20 50 2

LOOK carefully. Is the first number a multiple of the second?

44, 6 27, 3 30, 6 54, 9 28, 3

45, 5 64, 7 48, 8 33, 11 24, 8

35, 8 63, 7 88, 4 13, 13 62, 6

72, 9 46, 5 39, 3 28, 2 32, 2

Family Reunion

Which activities are scheduled to last more than 1 hour and 30 minutes? _______________

Lidia’s family arrived at the reunion at 8:30 a.m. How long do they have before the trip to the

lake? ______________

Take Lake Tour 10:15 a.m. – 2:30 p.m.

Slide Show 4:15 p.m. – 5:10 p.m.

Dinner 5:30 p.m. – 7:00 p.m.

Campfire and Sing-a-long 7:55 pm. To 9:30 p.m.

Holly’s family went apple picking.

They picked 5 bags of red

apples and I bag of green

apples. Write a fraction to

represent the part of the bags

containing green apples.

Create a Venn diagram to show all multiples of 3 and all

multiples of 4.

Dividing to Find Equivalent FractionsJames ate 6/8 of a small pizza. Which

fraction is equal to 6/8?

Find equivalent fractions for 4/10 _______

Find equivalent fractions for 2/8 _______

Find equivalent fractions for 4/5 ________

You can multiply the numerator and the denominator by the

same number to find an equivalent fraction

= = 1

4

X 2

X 2

2

8

X 2

X 2

X 2

X 2

You can divide the numerator and

the denominator by the same

number to find an equivalent

fraction.

= = =

200

400

Div 10

Div 10

Div 2

Div 2

Multiply or Divide to find the equivalent fractions.

4

9

9

15

10

10

5

7

2

4

10

20

30

40

10

12

8

24

3

8

1

4

6

9

Julia ordered 12 pizzas for the

class party. Each pizza was cut

into 8 slices. Each of the 24

students ate 4 slices.

What fraction of the pizzas was

left after the party?

Can the fraction be

reduced?

In the school poetry contest, 14

of the 50 students that entered

will receive a prize. Half of the

remaining students receive a

certificate. How many students

will receive a certificate?

Two fifths of all states in the

United States start with the

letters M, A, or N. How can you

use equivalent fractions to find

out how many states start with

these letters?

Look at the model. Name three equivalent fractions for the part of the circle that is turquoise.

One way to show 1/3 is to use

12 cubes to show three groups

of 4 cubes each or 4/12.

Using 12 or fewer cubes, find 2

other fractions that are

equivalent to 1/3.

Keira has 12 cubes. She uses all

12 cubes and separates them

into 4 groups. Then she uses 8

cubes and separates them into

4 groups. What fraction is Keira

trying to make?

At the car wash, Gary washed 8

cars per hour and Sean washed

7 cars per hour. How many cars

did Gary wash if Sean washed

24 cars?

Jacob had 12 books. He showed

8/12 is equivalent to 2/3 by

making three groups of 4 and

drawing a circle around 2 of the

groups. What is another fraction

that is equivalent to 2/3?

Renee runs 3 miles each week.

Linda runs 4 times as many

miles each week. How many

miles does Linda run each

week?

Cathy had 24 quarters. She separated

the quarters equally into 4 cups

with 6 quarters in each cup.

Show all ways that Cathy can

separate the quarters into

equal groups.

A store sells school supply packs

that contain 12 pencils, and 4

pens. Sonya bought enough

packs to get 36 pencils. How

many pens did she receive?

Harry bought 6 DVDs on sale for

$48. Tyler bought 4 DVDs for

$28. Who got the better deal?

Put each fraction into

simplest form.

6/8 15/27 10/20 16/18 12/14

21/24 12/30 3/12 2/10 4/8

12/16 4/6 2/5 8/20 5/15

4/12 9/16 7/14 12/18 15/35

Vanessa ran 8/12 of the way

around the field during P.E.

class. Write this fraction in

simplest form.

Shane and Morgan are starting

a band. They have 5 other

members that practice with

them 2 hours each week.

What fraction of the band are

Shane and Morgan.

Each day pandas are awake for

about 12 hours. They eat for

10 of those 12 hours.

What fraction of their awake time

are pandas eating?

Write the factors for 8, 16, and

20. What can you say about

all multiples of 4?

Write all of the factors for 9.

What can you say about all

factors of 9?

Write all of the factors of 15.

What can you say about

these factors?

Look at each number sentences

below. Compare the size of the

factor to each product. What can

you say about factors and

products of whole numbers

greater than 0?

8 x 7 = 56 5 x 46 = 230 1 x 873 = 873

A generalization is a general

statement that you think is true.

Look carefully to make

generalizations.

Generalize that all multiples of 5 end in either a 0 or a 5 in the ones place.

5 x 1 = 5 5 x 2 = 10 5 x 3 = 15 5 x 4 = 20 5 x 5 = 25

Look at the pattern below.

Draw the shape that would

come next.

Write at least five multiples of 10.

What generalization can you

make about all multiples of 10?

Look at each group of three

letters below. Make a

generalization for each group of

letters that does not apply to

the other group of three letters.

E F T C O S

Emily’s dog weighs 43 pounds

more than Joan’s dog.

Together the dogs weigh 81

pounds. How much does each

dog weigh?

William lives on the twenty-

second floor of a 25-story

building. If each floor is

12 feet in height, how many

feet above ground level is the

floor of William’s apartment?