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We can see that ½ is the
same as 2/4, 3/6, 4/8 and
5/10.
These are EQUIVALENT
FRACTIONS.
Find me an equivalent of:
2/8 3/9 8/10 9/9 4/6
Simplified Fractions
To simplify a fraction, we
find an equivalent fraction
which uses the smallest
numbers possible.
We do this by
dividing.
We need to know our
tables for this!
Ask yourself, what can I
divide both 24 and 40 by?
8 is the biggest number
we can divide both by and
3/5 uses the smallest
possible numbers as we
cannot divide them by
anything else.
Look at this one
28
56
The first thing I notice is
that 28 and 56 are both in
the 7 times table. So I’m
going to divide both
numbers by 7.
28
56
÷
÷
47=
7= 8
Is this simplified? NO!
4
8
I can still divide
both numbers by
4.
÷
÷
4=
4=
1
8
STEPS TO SUCCESS
• convert – to change from one form to another
• mixed number – a whole number and a fraction
• improper fraction – a fraction larger than one whole; the numerator is larger than the denominator
IMPROPER FRACTIONS
• A fraction in which the numerator is greater than the denominator.
They are BIG HEADED!!
=8
4
WRITE THE IMPROPER FRACTION:
=
7
4Denominator..
How many parts as
EACH whole been
split into?
Numerator..
How many parts do
we have in total?
=
WRITE THE IMPROPER FRACTION:
11
2Denominator..
How many parts as
EACH whole been
split into?
Numerator..
How many parts do
we have in total?
MIXED NUMBERS
• A mixed number has a part that is a whole and a part that is a fraction.
They’re a bit mixed up!
= 13
4
WRITE THE MIXED NUMBER:
= 31
2
- How many wholes are there?
- How many fractions/parts are there?
= 22
3
WRITE THE MIXED NUMBER:
- How many
wholes are
there?
- How many
fractions/parts
are there?
CHANGE:
AN IMPROPER FRACTION TO A MIXED NUMBER
=4
31
1
3
PAIRS:
Can you change
this improper
fraction?
Use a
Diagram to
help you!!
How many wholes? And how many parts are left over?
CONVERT THE IMPROPER FRACTION TO A MIXED NUMBER:
5
2
1
22
Use a
Diagram to
help you!!
CONVERT THE IMPROPER FRACTION TO A MIXED NUMBER:
7
3
1
32
Use a Diagram to help you!!
CONVERT THE IMPROPER FRACTION TO A MIXED NUMBER:
10
5 2
If there is no
remainder then your
answer is a
whole number!
CHANGE: A MIXED NUMBER TO IMPROPER FRACTION
1. Multiply the whole number by the denominator
2. Add your answer to the numerator
3. Put that number on top of the denominator
=5
221
2
The denominator always stays the SAME!
CONVERT THE MIXED NUMBER TO AN IMPROPER FRACTION:
9
2
1
24
1) Multiply
2) Add
3) On top!
CONVERT THE MIXED NUMBER TO AN IMPROPER FRACTION:
11
3
2
33
1) Multiply
2) Add
3) On top!
CONVERT THE MIXED NUMBER TO AN IMPROPER FRACTION:
12
5
2
52
Retrieving Information
What word does the poet use as a synonym for ‘hole’?
How does the poet say she must behave towards her mind?
The poet uses the word ‘mind’ in different ways so that it has
different meanings. Give two examples from the poem.
Making Inferences
Do you think the poet is a young person or an older person?
Explain why using evidence from the text.
Why do you think the poet wants their thoughts to “be mine
alone”?
Writer’s choices
Why do you think the writer compares her mind to “paths
and mazes”?
Why has the poet chosen to talk about “wolves” in her
mind?
Challenge question (extended question)
Do you think the poet’s mind is a happy, sad or angry place?
Support your answer with examples from the text.
Get out into your gardens or on your daily walk
and collect some leaves or petals. Use crayons,
pencils of even paint to create your own either
rubbed or printed images of leaves in bright
colours – email your images in and I shall print
them off to send up to the care home in order to
brighten up the residents days! Maybe you could
write a nice message for them to see too!
