Year-5---Spring---Block-2---Fractions.pdf

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Released January 2018
Year 5
Small Steps Guidance and Examples
Block 2 - Fractions
Year 5
|
Spring Term
|
Teaching Guidance
Week 4 to 9 – Number: Fractions
Overview
Small Steps
Equivalent fractions
Improper fractions to mixed numbers
Mixed numbers to improper fractions
Number sequences
Compare and order fractions less than 1
Compare and order fractions greater than 1
Add and subtract fractions
Add fractions within 1
Add 3 or more fractions
Add fractions
Add mixed numbers
Subtract fractions
Subtract mixed numbers
Subtract – breaking the whole
Recognise mixed numbers and
improper fractions and convert from
one form to the other and write
mathematical statements
>1
as a
mixed number [for example
"
%
'
)
+ = =1
]
#
#
#
#
NC Objectives
Compare and order fractions whose
denominators are multiples of the
same number.
Identify, name and write equivalent
fractions of a given fraction,
represented visually including tenths
and hundredths.
Add and subtract fractions with the
same denominator and
denominators that are multiples of
the same number.
Year 5
|
Spring Term
|
Teaching Guidance
Week 4 to 9 – Number: Fractions
Overview
Small Steps
Subtract 2 mixed numbers
Multiply unit fractions by an integer
Multiply non-unit fractions by an integer
Multiply mixed numbers by integers
Fraction of an amount
Using fractions as operators
NC Objectives
Multiply proper fractions and mixed
numbers by whole numbers,
supported by materials and
diagrams.
Read and write decimal numbers as
*)
fractions [ for example 0.71
=
]
)++
Solve problems involving
multiplication and division, including
scaling by simple fractions and
problems involving simple rates.
Year 5
|
Spring Term
|
Teaching Guidance
Week 4 to 9 – Number: Fractions
Equivalent Fractions
Notes and Guidance
Children recap on learning from year 4. They explore equivalent
fractions using models and concrete representations.
They use models to make the link to multiplication and division.
Children will then be able to apply the abstract method to find
equivalent fractions.
It is important children have the conceptual understanding before
moving in to just using an abstract method.
Varied Fluency
1
Take two pieces of paper the same size.
Fold on piece into two equal pieces.
Fold the other into eight equal pieces.
What equivalent fractions can you find?
Use the models to write equivalent fractions.
1
4
=
2
8
Mathematical Talk
What equivalent fractions can we find by folding the paper? How
can we record these?
What is the same and what is different about the numerators and
denominators in the equivalent fractions?
How does multiplication and division help us find equivalent
fractions? Where can we see this in our model?
2
Emma uses the models and her multiplication and division
skills to find equivalent fractions.
×
4
1
4
=
4
16
×
4
Use this method to
find equivalent
" ,
%
fractions to , and
% %
%
where the
denominator is 16
3
Emma uses the same approach to find equivalent fractions
for these fractions. How will her method change?
%
)"
=
,
'
)"
=
%
'
)"
=
"

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