Year-6---Spring---Block-2---Percentages.pdf

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Released December 2017
Year 6
Small Steps Guidance and Examples
Block 2 – Percentages
Year 6
|
Spring Term
|
Teaching Guidance
Week 3 to 4 – Number: Percentages
Overview
Small Steps
Fractions to percentages
Equivalent FDP
Percentage of an amount (1)
Percentage of an amount (2)
Percentages – missing values
Percentage increase and decrease
Order FDP
NC Objectives
Solve problems involving the
calculation of percentages [for
example, of measures and such as
15% of 360] and the use of
percentages for comparison.
Recall and use equivalences
between simple fractions, decimals
and percentages including in
different contexts.
Year 6
|
Spring Term
|
Teaching Guidance
Week 3 to 4 – Number: Percentages
Fractions to Percentages
Notes and Guidance
It is important that children understand that ‘percent’ means ‘out
of 100’, therefore they will need to use their knowledge of
equivalent fractions to make the denominator 100
Children will recall and use equivalences between simple
fractions and percentages in different contexts.
Varied Fluency
1
What fraction of the 100 square is shaded?
Can you write this as a percentage?
Shade in another 100 square to show
50%
Can you write this as two different
fractions?
What numbers have been covered by the splats?
12
35
= 12 %.
= 35 %
100
100
12
44
= 24 %.
= 22 %
50
200
2
Mathematical Talk
What does the word ‘percent’ mean? How can you represent this?
Which denominator is the easiest to convert into a percentage?
Why is this easiest? Which other denominators are easier to
convert into percentages?
If the denominator is 50, 25, 20 or 10 how would you convert it in
to 100? What would you need to do to the numerator?
3
Complete the table.
Fraction
7
10
7
7
100
Fraction in
Hundredths
100
35
100
28%
Percentage
Year 6
|
Spring Term
Week 3 to 4 – Number: Percentages
Fractions to Percentages
Reasoning and Problem Solving
In a Maths test, Tom answered 62% of
the questions correctly.
Lily answered of the questions
-
correctly.
Who answered more questions correctly?
Explain your answer.
,
Tom answered
more questions
,
correctly because
-
as a percentage is
60% and this is
less than 62%
Mark thinks that
of this grid has been
.00
shaded.
Nisha thinks that 36% of the grid has
been shaded.
Who do you agree with?
Explain your reasoning.
./
Nisha is correct
because the grid is
50 squares not
100 and 18 of
them are shaded.

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