|
Develop spider
diagram linking equivalent fractions, decimals and
percentages,
as in
Sparks
1: Equivalent Fractions
Review
concept that F, D and % are all parts of a total
(unlike ratio), and so are all linked. |
|
- Recognise
the equivalence of percentages, fractions and decimals
- To be able to add , subtract and compare simple
fractions |
|
approximately equals
(˜)
guess
estimate
multiply
divide
numerator
denominator
proper fraction
improper fraction
mixed number
decimal fraction
percentage (%)
equivalent
convert
cancel
simplify
simplest term
lowest terms. |
|
1/2
= 2/4 = 10/20 = 50/100. Explain.
1. Recap previous learning about equivalences, including
key point:
Can only compare, add and
subtract fractions with the same ('common') denominator.
2. Mental methods:
Draw 3 parallel number lines:
Use to find equivalences between well-known FDPs.
3. Written methods
Eg: 
Use to add / subtract / simplify by cancelling.
Eg: 1 + 1 = 8 + 3 = 18 = 3
3 8 24 24 24 4
4. Calculator methods
Eg: 5/8 = 5 ÷ 8 = 0.625
5. Checking
Eg: 5/8 > 1/2 but < 3/4
0.5 < 5/8 < 0.75 |
|
1. Activities to
find FDP equivalences:
2. - and using to add, subtract and compare fractions,
3. - using mental, written and calculator methods,
4. - and checking answers by estimating. |
|
1. Review FDP equivalences,
and addition and subtraction of fractions.
a) 1/5 and 1/4?
b) 4/5 and 3/4?
c) 7/10 and 18/25?
d) 1/3 and 3/10?
What's the difference between
each of these pairs…? Biggest difference?
Smallest difference?
Biggest total? Smallest total?
Place all 8 fractions n increasing order of size.
2. Review methods:mental
written
calculator methods,using intuitive approach, ie:
discourage automatic use of algorithms. |
|
pp. 62 –
64, 70 – 74
(pp. 90 – 108 calculations) |
|
|
Sparks
3
Teacher chooses range of starting numbers. Pupils
find simple fractions of each one.
OR
Sparks
4
Teacher chooses range of starting numbers. Pupils
find simple percentages of each one. |
|
- Calculate simple
fractions of quantities and measurements (whole-number
answers); multiply a fraction by an integer.
- calculate simple percentages and use percentages
to compare simple proportions. |
|
|
Review and extend
understanding of following calculations (see decimal
calculations in N5a):
- fraction x integer: 3/5 x 30 = 30 ÷ 5 x
3 = 18
- fractions of an amount: 3/5 of 30kg = 30 ÷
5 x 3 = 18kg
- % of an amount: 60% of 30 (from 10% or 6/10)
- %s to compare proportions. decimals & %s using
calculator, interpreting display:
60% of 30 = 30 x 0.6 (or 30 ÷ 10 x 6 or 30
÷ 100 X 60)
Include mental, written and simple calculator methods,
and checking by estimating. |
|
| Activities to calculate
fractions, decimals and percentages of quantities. |
|
Paul
gets 75% of his 24 history test questions correct,
and 80 of his 25 maths questions. In which subject
does he get more questions right?
Repeat using 5/8 and 7/10, and 44% and 55% respectively.
OR
Questions involving metric units. |
|
|
