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- recognise
equivalence of %s, fractions & decimals
and
- calculate simple %s
and
- use equivalence between % fractions and decimals
in describing proportions
- use direct proportion in simple contexts |
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numerator
denominator
decimal fraction
percentage (%)
equivalent
equivalence
cancel
cancellation
lowest terms
simplest form
total
value
amount
exchange rate
currency
convert
ratio
proportion
notation of 3:2… |
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Introduce language
of proportion, eg: with OHS
N4/1: School Dinners
(focusing on F, D, % and Proportion).
Eg: 6 in 8 like school
stew...
6
out of 8 like school stew ..6/8 ...0.75 ...75% |
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PROPORTION:
compares part with whole; usually expressed as a
F, D or %
Learning activities that require a focus on comparing
part with total:
- Develop introductory task so that pupils can apply
language of proportion interchangeably with that
of F, D and %.
- Present problems requiring comparison of parts
per whole, with focus on % calculations (pp 72 -
4)
- Pupils could complete a series of statements from
OHS
N4/1: School Dinners, such as:
- 2 in 8 dislike stew ...
1/4 dislike it ... 3/4 like it ... 75% like it ... |
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- understand the
relationship between ratio
and proportion.
- use ratio notation, reduce ratio to its simplest
form & divide a quantity into 2 parts in a given
ratio
- use informal strategies with ratio and proportion
to solve problems |
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Introduce language
of ratio, eg: with
OHS
N4/1: School Dinners
(focusing on F, D, % and R)
Eg: '6 like it for every 2 that don't'; |
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RATIO:
compares part with part
Learning activities which require a focus on comparing
part with part.
Eg: Consolidate language
of ratio, eg:
Use OHS
N4/1: School Dinners, to make statements such
as: 2 in 8 dislike it, but ... 2 dislike it for
every 8who like it
- Enrich range of ratio and
proportion contexts, eg;
R and P of : wool, cotton, polyester etc in fabrics
(clothes labels) ..; of pupils with brown eyes …
long hair… of blue to yellow in green paint
… of flour to eggs in cake recipes...
Equivalent Ratios.
Eg: OHS
N4/2: Equivalent Ratios
Eg: If form 7S is 1/3 girls and 2/3 boys, then comparing
them as fractions looks like : 1 v 2 or as ratios
1 : 2 3 3
One approach: Ratios can be thought of as the numerators
of fractions and we can therefore have equivalent
ratios in just the same way as we have equivalent
fractions. Link to equivalent fractions.
To revise or extend, go to:
Revision
of Ratio OR Ratio
& Proportion |
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Use same / new example
to highlight similarity in language between:
'1 to 5'
(a ratio)
'1 in 5' (a proportion);
and link Qs:
What proportion are red?
What ratio?
What fraction?
What decimal?
What %? |
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OHS
N4/3: Shades of Grey
Discuss meaning of each ratio - Why
no units?
Why is Dusk Grey darker than Misty Grey?
Find some ratios that are darker than Barely Black
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