a fraction is part of a whole
DESCRIPTION
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. - PowerPoint PPT PresentationTRANSCRIPT
A fraction is part of a whole.
1
4
numerator (tells you how many parts you are talking about)
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?
1 7 --- = --- 3 21
equivalent fraction or not?
equivalent
2 10 --- = --- 5 25
equivalent fraction or not?
equivalent
is this fraction correct?
2--- 6
yes
does the fraction represent the shaded area of the shape?
5--- 3
no
3colour in --- 5
colour in 1/4
4colour in --- (4 out of 12) 12
is 4/5 the correct fraction to represent the green diamonds?
yes
2 --- 3
1--- 1
1--- 2
draw a line to the proper fraction
what fraction are ants? simplify your answer.
2/5
1colour in --- 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
1colour 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
3colour in --- 4
3 1 --- = --- 6 3
equivalent fraction or not?
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?
steps:- find the "common denominator"
remember:- do to the top as you do to the bottom
which is a bigger piece? 2 5--- or --- 5 7
write the correct symbol: >, <, or =
5 3--- --- 8 4
write the correct symbol: >, <, or =
3 4--- --- 6 7
write the correct symbol: >, <, or =
3 4--- ---15 5
write the correct symbol: >, <, or = 2 4--- --- 7 9
write the correct symbol: >, <, or = 3 5--- --- 6 10
write the correct symbol: >, <, or =
6 1--- ---10 10
write the correct symbol: >, <, or = 8 3--- --- 9 5
a) b) c)
d) e) f)
g) h) i)
j) k) l) m) n) o)
1 1-- --8 2
2 3-- --3 4
5 4-- --6 8
1 1-- --2 3
1 4-- --2 10
2 2-- --4 3
1 1-- --5 10
3 2-- --5 8
3 4-- --6 5
1 1-- --8 4
5 7 -- --10 10
1 8-- --3 10
1 1-- --3 4
3 3-- --4 5
2 6-- --5 10
8--8 1
--2
2--3 3
--4
5--6
3--8
smallest biggest
1--3
1--2
2--3
3--4
4 --10
5--5
smallest biggest
1 --10
1--5
2--8
3--6
3--5
4--5
smallest
biggest
1 -- 41
--8
7 --10
1--3
5 --10
6 --10
smallest
biggest
1 -- 4
1--3
3--5
2--5
3--4
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
mixed fraction
5
3
12
3
improper fraction
mixed fraction
14
3
4 2
3
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...
1. 2 triangles
2. 9 triangles
3. 4 triangles
4. 10 triangles
5. 19 triangles
How many are covered?
Write a mixed number, improper fraction, and picture for each.
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
3. 1
4. 2
5. 3
1--3
2--3
2--3
1--3
5
3
improper fraction mixed fraction
1 2
3
improper fraction mixed fraction
10
3
improper fraction mixed fraction
24
5
improper fractionmixed fraction
2 2
3
adding fractions...
- find the common (same) denominator- add the numerators- change to MIXED fraction
- find the common (same) denominator- add the numerators- change to MIXED fraction
2
5+
3
6
- 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-
- find the common (same) denominator- subtract the whole numbers then the numerators4 3
43 1
2-
- find the common (same) denominator- subtract the whole numbers then the numerators
BUT what if the numerator is not enough to subtract from?
52
54 4
5-
- find the common (same) denominator- subtract the numerators- change to MIXED fraction
4
16
1
8-
- find the common (same) denominator- subtract the whole numbers then the numerators 3 1
2 1 2
3-
2 3
41 4
5+
3 2
51 2
3-
45
62 3
4-
44
56
3
4+
don't forget to SIMPLIFY if you can
x denominators
x numerators
multiplying fractions...
2
5
3
7
don't forget to SIMPLIFY if you can
3
4
5
10x
4
7
6
8x
8
9
4
7
x
x
10
12
4
7
don't forget to SIMPLIFY if you can
multiplying mixed fractions...
change to improper fraction, then multiply
3 2
5x
6
5
don't forget to SIMPLIFY if you can
change to improper fraction, then multiply2 1
31 2
3x
4 2
3 3 5
6x
cross multiply
dividing fractions...
3
5
7
9
don't forget to SIMPLIFY if you can
cross multiply
don't forget to SIMPLIFY if you can
5
7
3
5
4
9
6
7
2 4
53 1
3
change to improper fraction, then cross multiply
don't forget to SIMPLIFY if you can
3 5
67 2
3
81
52 4
7
x21
34 1
5
5 3
73 6
9x
solve:
don't forget to SIMPLIFY if you can
A crate of apples contains 8 apples. Miss.Tai gives 1 apple per student. She ends up giving
away 3 boxes. How many students did she
give apples to?
1--2
Denzel ate 4 of pizza. Randall ate 6 of pizza. How much more pizza did Randall eat?
3
8
2
5
Kat ate 5 chocolate bars in a week and Desiree ate 7 . How many did they eat in total?
2
31
8
Bennett read 58 of his book in 1 week. How many pages did he read, on average each day?
1
3
River brought 5 cakes to the birthday party last night. If 1 were eaten, what fraction of cake is left?
1
2
If each cake was cut into 6 pieces, how many slices are left?