For each shape, compare the shaded part to the
total number of parts. What do you notice?
E.g: For this shape:
Shaded part = 1
Total parts = 2
As the shaded parts show that they are half in quantity of the whole shape then
the value of the shaded part when written as a fraction must mean that all the
fractions are the SAME. True or False?
Shaded part =
Total parts =
1 goes into 2 TWICE
1
2
2
4
2 goes into 4 TWICE
8 goes into 16 TWICE
8
16
As the shaded parts show that they are half in quantity of the whole shape then
the value of the shaded part when written as a fraction must mean that all the
fractions are the SAME. True or False?
Shaded part =
Total parts =
1 goes into 2 TWICE
1
2
2
4
2 goes into 4 TWICE
8 goes into 16 TWICE
8
16
What is the value of the shaded part in
each shape? Are they all the same.
Clue:
Ignore the drawn size of the
shapes as they are not drawn to
scale. Focus on the fractional
value of the shaded part in each
shape.
3 goes into 12 four times
5 goes into 20 four times
8 goes into 32 four times
As each shape holds the same value, we can say that
We call these fractions
Equivalent fractions,
meaning they are the same.
Explain the shape statement below:
=
Note:
These
shapes
are drawn
to size.
Explanation on slides 7-10
To understand the size of the fraction compare it to one whole.
One whole
This has been split into 8 equal parts.
This has been split into 4 equal parts.
This has been split into 32 equal parts.
Same
as
This has been split into 4 equal parts.
This has been split into 8 equal parts.
is shaded.
is shaded.
Same
as
This has been split into 32 equal parts.
is shaded.
Each shaded part is exactly the same
size. This means all the fractions are
equal to each other.
They are equivalent.
This has been split into 4 equal parts.
is shaded.
This has been split into 8 equal parts.
is shaded.
This has been split into 32 equal parts.
is shaded.
=
x2
x4
Note:
These
shapes
are drawn
to size.
x8
Equivalent fractions.
Can you spot the
mathematical connection
between each pair of
fractions?
Clue:
Equivalent fractions.
Can you spot the
mathematical connection
between each pair of
fractions?
Clue:
The connection between the
numerators is the same for the
denominators and vice versa.
Equivalent fractions.
x9
x9
Match the equivalent fractions to the shapes/ fractions?
Fraction
Equivalent Fraction/Shape
Note: The
shapes are
not drawn
to scale.
Solutions:
Fraction
Equivalent Fraction/Shape
Work out the missing numerator or denominator in these equivalent fractions:
Show your
workings
clearly.
Solutions:
20
7
x3
x4
10
12
5
18
x4
80
x2
8
Are these statements true or false?
Give reasons for your answer.
1)
4)
2)
5)
3)
6)
Solutions:
1)
2)
False – both denominators are 4)
True - Both the numerator and
the same. They have forgotten to
multiply it by 2.
denominator are multiplied by 7.
False – The numerator and
5)
denominator have not been
multiplied/divided by the same
number.
3)
True – Both the numerator and
denominator are multiplied by 2.
False – Both numerators are the
same. They have forgotten to multiply
it by 10.
6)
True - Both the numerator and
denominator are multiplied by 100.
At a birthday party, these giant
cookies we shared equally
between 8 children. How much
did each child get?
Some cookies were already cut as shown
in the diagrams:
One halved, three cut into quarters and
two cut into eighths.
One possible solution: 1and a quarter pieces per child.