Download Fractions

A fraction is part of a whole.
1
numerator (tells you how many parts you are
talking about)
4
denominator (tells you how many equal parts the
whole is divided into)
Which ones are correct?
3
5
4
9
1
3
What do these pieces represent?
Colour, cut, and
use...
find 4 or more equivalent fractions using your
fraction strips
do you see any relationships between the
different strips?
what fraction is purple?
how many ways can we say this?
work on FUN
FRACTIONS
(hint: knowing your multiplication
table will help
you with fractions)
we will take up the answers next math
lesson
how many fractions can you write for the orange part?
how could we write this?
what fractions can we write for this?
what fraction can we
write for the stars?
what fractions
can we write for
the purple
diamonds?
equivalent fraction or not?
1
7
--- = --3
21
equivalent
equivalent fraction or not?
2
10
--- = --5
25
equivalent
is this fraction correct?
2
--6
yes
does the fraction represent the shaded area of the shape?
5
--3
no
colour in
3
--5
olour in 1/4
c
4
colour in --12
(4 out of 12)
is 4/5 the correct fraction to represent the green
diamonds?
yes
draw a line to the
proper fraction
1
--2
1
--1
2
--3
what fraction are ants? simplify your
answer.
2/5
colour in
1
--3
colour in 2/7
colour 2/5 in blue & 1/5 in red
equivalent fraction or not?
2
6
--- = --5
15
equivalent
has this fraction been simplified completely?
8
4
2
--- = --- = --20
10
5
yes
colour 1/4 in red & 1/2 in blue
colour in 1/3
what fraction are girls?
3/4
what fraction are bears?
1/6
1
colour in --5
has this fraction been simplified completely?
12
6
3
--- = --- = --36
18
9
no
colour 4/5 in red & 1/5 in green
what fraction is coloured in?
1/4
3
colour in --4
equivalent fraction or not?
3
1
--- = --6
3
not equivalent
let's aim at some equivalent
fraction targets...
Fractions here, and
fractions there. This is
all so confusing. So
which is more?
- get in groups of 3
- get 1 sheet for each group
- cut out the pieces
- what fraction of the whole square is each piece?
- order the fractions from least to greatest
- show your work to Miss. Tai
what pattern do you notice?
which is a bigger piece?
steps:
- find the "common
denominator"
remember:
- do to the top as you
do to the bottom
2
5
--- or --5
7
write the correct symbol: >, <, or =
5
--8
3
--4
write the correct symbol: >, <, or =
3
--6
4
--7
write the correct symbol: >, <, or =
3
--15
4
--5
write the correct symbol: >, <, or = 2
--7
4
--9
write the correct symbol: >, <, or =
3
--6
5
--10
write the correct symbol: >, <, or =
6
--10
1
--10
write the correct symbol: >, <, or =
8
--9
3
--5
1
-8
1
-2
a) b)
d)
1
-2
g)
j)
m)
e)
1
-3
h)
1
-5
1
-8
1
-3
k)
c)
3
-4
5
-6
4
-8
4
-10
2
-4
2
-3
3
-5
2
-8
3
-6
4
-5
5
-10
7
-10
1
-3
8
-10
2
-5
6
-10
2
-3
f)
1
-2
i)
1
-10
l)
1
-4
o)
1
-4
3
-4
n)
3
-5
8
-8
2
-3
1
-2
3
-4
3
-8
5
-6
smallest
biggest
1
-3
smallest
1
-2
4
-10
3
-4
2
-3
5
-5
biggest
1
-5
smallest
1
-10
3
-5
2
-8
3
-6
4
-5
biggest
1
-8
smalles
t
1
-4
5
-10
7
-10
1
-3
6
-10
biggest
1
-3
1
-4
3
-4
3
-5
2
-5
9
-10
smallest
biggest
Take 30 minutes to work
through your workbook
p. 69 1-5
(shhhhhhh, if you can manage to work
quietly, you
may work in pairs - but if the noise level rises 2
notches, you will have to work individually)
what is a fraction?
a piece of a whole thing
numerator
is smaller than
denominator
1
5
what if:
the numerator
is LARGER than the
denominator?
5
3
improper fraction
5
3
1
2
3
mixed fraction
improper fraction
14
3
4
2
3
mixed fraction
What you need:
- paper to write on
- pencil
- eraser
- to work hard
Roles for today:
person with longest hair: in charge of picking up and returning Pattern Blocks from the
container
person with the biggest shoe size: in charge of recording answers for group
person with the next birthday: in charge of making sure their group is doing the task at
hand (very important role)
How many
are covered?
Write a mixed number and improper fraction for each.
1. 7 triangles
2. 11 triangles
3. 2 triangles
4. 8 triangles
5. 21 triangles
Switch roles now
please...
How many
are covered?
Write a mixed number, improper fraction, and picture for each.
1. 2 triangles
2. 9 triangles
3. 4 triangles
4. 10 triangles
5. 19 triangles
Switch roles again
please...
How many
are covered?
Write a mixed number, improper fraction, and picture for each.
1. 3 triangles
2. 6 triangles
3. 9 triangles
4. 21 triangles
5. 12 triangles
Switch roles again
please...
If
is a whole, show:
1. 4
2. 3
1
-3
2
-3
3. 1
4. 2
2
-3
5. 3
1
-3
improper fraction
5
3
mixed fraction
1
2
3
10
3
improper fraction
mixed fraction
24
5
improper fraction
mixed fraction
2
2
3
mixed fraction
improper fraction
adding fractions...
- find the common (same)
denominator
- add the numerators
- change to MIXED fraction
3
2
+
5
6
- find the common (same)
denominator
- add the numerators
- change to MIXED fraction
- find the common (same)
denominator
- add the numerators
- change to MIXED fraction
7
8
+
2
5
subtracting fractions...
- find the common (same)
denominator
- subtract the numerators
- change to MIXED fraction
- find the common (same)
denominator
- subtract the numerators
- change to MIXED fraction
5
7
-
2
14
4
3
4
- 3
1
2
- find the common (same)
denominator
- subtract the whole numbers then the
numerators
- find the common (same)
denominator
- subtract the whole numbers then the
numerators
5
2
5
-4
4
5
BUT what if the numerator is not
enough to subtract from?
4
16
-
1
8
- find the common (same)
denominator
- subtract the numerators
- change to MIXED fraction
- find the common (same)
denominator
- subtract the whole numbers then the
numerators
3
1
2
-1
2
3
2
3
3
4
2
5
+
1
- 1
4
5
2
3
4
5
4
4
6
5
- 2
+
6
3
4
3
4
multiplying fractions...
2
x numerators
3
5
x denominators
7
don't forget to SIMPLIFY if you can
3
5
8
4
10
9
7
4
6
10
4
8
12
7
x
x
x
x
4
7
don't forget to SIMPLIFY if you can
multiplying mixed fractions...
3
2
5
x
5
6
don't forget to SIMPLIFY if you can
change to improper
fraction, then
multiply
2
1
3
4
2
3
x
x
1
2
3
5
3
6
don't forget to SIMPLIFY if you can
change to improper
fraction, then
multiply
dividing fractions...
3
7
5
9
cross multiply
don't forget to SIMPLIFY if you can
cross multiply
5
3
7
5
4
6
9
7
don't forget to SIMPLIFY if you can
2
4
5
3
1
3
don't forget to SIMPLIFY if you can
change to improper
fraction, then cross
multiply
solve:
2
5
1
3
3
7
x
4
1
3
6
5
9
3
8
5
6
1
5
don't forget to SIMPLIFY if you can
x
7
2
3
2
4
7
A crate of apples contains 8 apples. Miss.Tai gives 1 apple per
student. She ends up giving
away 3
1
boxes.
How many students did she
-2
give apples to?
3
2
Denzel ate 4 of pizza.
Randall ate 6 of pizza. How
much more pizza did
8
5
Randall eat?
2
Kat ate 5 chocolate
bars in a week and Desiree ate 7 . How
3
many did they eat 1in total?
8
1
Bennett read 58 of his
book
in
1
week.
How
many
pages
did
3
he read, on average each day?
River brought 5 cakes to the birthday party last night. If 1
fraction of cake is left?
1
were eaten, what2
If each cake was cut into 6 pieces, how many slices are left?