Transcript CHAPTER 13 FRACTIONS - TEACHEZ

CHAPTER 13
FRACTIONS
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?
MULTIPLES
How 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
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.
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? ______________
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 Fractions
James 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
X2
=
4
X2
2
X2
8
X2
X2
=
X2
You can divide the numerator and
the denominator by the same
number to find an equivalent
fraction.
200
Div 10
400
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.
5x1=5
5 x 2 = 10
5 x 3 = 15
5 x 4 = 20
5 x 5 = 25
Generalize that all multiples of 5 end in
either a 0 or a 5 in the ones place.
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.
EFT
COS
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 twentysecond 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?