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| 1. FDPRP: |
Fractions notation for shapes & express one no as
a fraction of another |
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| 2. FDPRP: |
Simplify fractions by cancelling
and identify equivalent fractions |
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| 3. FDPRP: |
Convert terminal decimals to fractions; use diagram
to compare simple fractions |
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| 4. FDPRP: |
Add & subtract simple fractions & those with
common denominator |
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| 5. FDPRP: |
Calculate simple fractions & multiply a fraction
by an integer |
N5 |
| 6. FDPRP: |
Understand %s as 'parts per 100' & calculate simple
%s |
N5 |
| 7. FDPRP: |
Equivalence of FDP |
N4, N5 |
| 8. CALCULATION, MENTAL: |
Methods for whole nos & FDP, plus
jottings; simple word problems |
N&M3, N5 |
| 9. CALCULATIONS: |
Check result from order of magnitude
& by working backwards |
N&M3, N4, N5 |
| 10. SOLVING PROBLEMS: |
Break complex calculation into
simpler steps -using appropriate & efficient operations,
methods and resources, including ICT |
N&M3, N5 |
| 11. SOLVING PROBLEMS: |
Present & interpret solutions in context of original
problem |
N&M3 |
| 12. SOLVING PROBLEMS: |
Explain & justify methods
& conclusions, orally & in writing |
N&M3, N5 |
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| 1. FDPRP: |
Equivalence of fractions, decimals
& percentages |
N2, N5 |
| 2. FDPRP: |
Calculate simple &s & use to %s compare simple
proportions |
N5 |
| 3. FDPRP: |
Relationship between ratio & proportion & use
direct proportion in simple contexts |
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| 4. FDPRP: |
Ratio notation; simplest ratios; divide quantity into
2 parts in given ratio |
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| 5. FDPRP: |
Simple ratio & proportion problems - informal strategies |
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| 6. CALCULATIONS: |
Check result from order of magnitude
& by working backwards |
N&M3, N2, N5 |
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| 1. CALCULATIONS,
MENTAL: |
Methods for whole nos &
FDP, plus jottings; simple word problems |
N2, N&M3 |
| 2. FDPRP: |
Calculate simple fractions & multiply
a fraction by an integer |
N2 |
| 3. FDPRP: |
Calculate simple %s & use to compare
simple proportions |
N4 |
| 4. FDPRP: |
Recognise equivalence of
fractions, decimals & %s |
N4 |
| 5. CALCULATOR METHODS: |
Check result from
order of magnitude & by working backwards |
N2 N4, N&M3 |
| 6. SOLVING PROBLEMS: |
Break complex calculation
into simpler steps - appropriate & efficient operations,
methods and resources, including ICT |
N&M3 |
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INTRODUCTION:
This is the FDPRP strand & follows in order of introduction:
fractions, decimals and then %s in N2, and ratio &
proportion in N4. Decimals appear also in the Autumn Term's
N1 unit as part of Place Value development. Mental calculations
using fractions, decimals & %s are included in the
Spring Term unit N&M3 and undergo further development
in N4. Therefore, one aim of this strand appears to be
the attainment of a well-defined set of skills in handling
FDPRP, based on a clear understanding of the meaning of
fractions, decimals, %s, ratio & proportion and of
the relationship between them. Further notes on key features
follow which you may wish to include in your delivery.
- PROBLEM-SOLVING & PUPIL
CONFIDENCE: Again there is a problem-solving key objective
in N2 and N4. Hence, attainment of the learning objectives
needs to be secure. The key learning objective of
checking results from order of magnitude occurs in
all units of both strands and encourages pupil independence
in learning. Also, the allocation of 13 hours to FDPRP
and to their more formalised calculation strategies
is designed to make a significant contribution to
confidence in this area.
- The basic pattern for each unit
is as follows:
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N2
6h Autumn Term Key L.O's:: 1. Simplify fractions 2. Equivalent
fractions 3. FDP equivalence 4. FDP mental calculations
5. Checking from magnitude 6. Complex calculations 7.
Explain & justify methods / conclusions
This unit concentrates initially upon fractions, extending
to decimals and % calculations. Although simple fractions
are introduced in Y5/6 Programme, the N2 unit includes
a more comprehensive approach to fractions, and their
equivalence with decimals (see N1) and, later, with %s.
Mental calculation methods (see N1) are extended to FDP,
with the key objective for pupils of being able to check
their own work and to explain & justify methods &
conclusions. N2 fraction L.O.s are also pre-requisites
to HD1. |
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N4
5h Spring Term Key L.O's:: 1. FDP equivalence 2. Checking
from magnitude
Although the content key L.O. is the recognition of FDP
equivalence, the introduction of the ratio & proportion
L.O. is a significant one. There is an emphasis on the
understanding the relationship between ratio & proportion,
and on informal problem-solving approaches. Simple proportions
are compared using %s in this Y7 unit. Interestingly,
the Y8 programme utilises pupils' understanding of the
equivalence of fractions, decimals and %s to compare proportions.
Division of a quantity in a given ratio is also included
here, but receives a greater focus to in Y8 where it becomes
a key L.O. |
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N5
8h Summer Term Key L.O's: 1. Mental methods for FDP 2.
Long X & ¸ for whole numbers &
decimals 3. Checking answers from order of magnitude 4.
Equivalence of FDP 5. Complex calculations
As expected, the main aim of this unit is to consolidate
and extend the N1 > N3 Calculations strand and the
N2 > N4 FDPRP strand, in a more integrated manner.
Here, secure skills & understanding of mental, written
& calculator-based methods of calculation are applied
to fractions, decimals and %s, with the ultimate goal
of using & applying them in complex problem-solving
situations.
The L.O. to calculate a fraction of a quantity or measurement
does not include fractional answers (Y8). Also, the L.O.
to multiply a fraction by an integer is extended to division
in Y8. |
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