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Maths at Key
Stage 3
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On
entry into the School the boys are assessed by means of a written
paper (if
their Key Stage 2 results are not known to us) and placed in an
appropriate
set.
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The
course covered in years 7 to 9 is the ‘KEY MATHS’ course published
by
‘Nelson Thornes’.
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Exercises
in the books are written to allow for extension work and more
difficult
questions for those who are progressing at a faster rate.
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Your
son’s teacher will have other resources to extend the work beyond
that
covered in the texts and through the year there are opportunities
for
project work and the assessment of AT1 - Using and Applying
Mathematics.
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In
addition to the chapter layout there are “Help Yourself” exercises
for
practising the four rules. and other necessary numerical processes.
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There
will also be the opportunity to use computer software to aid
learning and
help with projects. This will include the use of spreadsheets, graph
plotters and ‘LOGO’.
Year
7 Mathematics Course Content
(text: “Key Maths” -
Books 72 , 71 and 7)
Differences
in
chapter content in book 7 are given below in
italics.
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Sets
1 and 2 (Book 72) ; Sets 3 and 4 (Book 71);
Set 5
(Book 7).
Chapter
Headings (The course
does not necessarily follow this order).
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Statistics:
surveys, charts, scattergrams and correlation. (Not
correlation).
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Symmetry:
lines of symmetry and rotational symmetry. (Not
rotational symmetry).
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Number
Patterns: factors,
multiples and primes; number patterns, order of operation. (Odds
and evens instead of factors, multiples...).
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Arithmetic
and the Calculator:
rounding, estimation, “BODMAS”. (Not
BODMAS).
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Shape
and Construction:
polygons, compass constructions, tesselations and congruence.
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Decimals:
place value and calculations with decimals.
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3-D
Work: nets and
solids.
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Probability:
theory and experiments.
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Algebra
1: writing formulae,
collecting ‘like’ terms, substitution. (More
practical approach).
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Angles:
measuring, calculating, angles in triangles, constructions. (Not
constructions).
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Negative
Numbers: the
‘number line’, co-ordinates, graphing number patterns. (Not
graphs).
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Units
of Length - Scale Drawing:
Imperial to metric conversion. (Metric
measure only).
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Algebra
2: inverse
operations, solving equations, ‘trial and improvement’.
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Area
and Perimeter:
practical methods and using formulae. (Not
formulae).
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Fractions
and Percentages:
introducing the link between the two.
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Statistics
2: types of average,
range, misleading statistics.
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Year
8
Mathematics Course Content
(text: “Key Maths” -
Books 83, 82 ,
81 and 8)*
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The year 8 course continues the “Key Maths” course started in
year 7.
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Sets
1 (Book 83) ; Sets 2 & Set 3 (Book 82);
Set 4
(Book 81); Set 5 (Book 8).
Chapter
Headings
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Set
1
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Sets
2 & 3
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Sets
4 (& 5)
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Graphs:
conversion graphs, graphs and rules, time graphs, travel graphs.
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Graphs:
conversion graphs, graphs and rules, time graphs.
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Graphs:
conversion graphs, graphs and rules.
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Estimation:
powers
and roots, mental arithmetic, estimation.
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Estimation:
powers
and roots, mental arithmetic, estimation.
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Estimation:
squares
and square root, mental arithmetic, estimation.
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Statistics
1: charts,
pie charts, questionnaire.
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Statistics
1: charts,
pie charts, questionnaire.
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Statistics
1: charts,
pie charts, questionnaire.
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Algebra:
number
patterns, reversing rules, substitution of values.
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Algebra:
number
patterns, reversing rules, substitution of values.
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Algebra:
number
patterns, reversing rules, fitting an equation.
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Transformations:
translation,
reflection, rotation, enlargement.
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Transformations:
translation,
reflection, rotation, enlargement.
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Transformations:
translation,
reflection, rotation, enlargement.
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Directed
Numbers: using
negative numbers, calculations with negative numbers.
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Directed
Numbers: using
negative numbers, calculations with negative numbers.
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Money
/ Calculator
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Angles:
parallel
lines, polygons, bearings.
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Angles:
parallel
lines, polygons, bearings.
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Angles:
parallel
lines, polygons, bearings.
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Probability:
rules
and diagrams, ‘possibility space’.
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Probability:
rules
and diagrams, ‘possibility space’.
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Probability:
rules
and diagrams
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%
and Fractions: parts
of the whole.
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%
and Fractions: parts
of the whole.
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%
and Fractions: parts
of the whole.
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Straight
Lines: equations
of lines, using gradient and intercept.
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Straight
Lines: equations
of lines, using gradient and intercept.
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Straight
Lines: equations
of lines.
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Ratio
and Proportion: scale
factors and map scales; metric / imperial conversion.
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Ratio
and Proportion: scale
factors and map scales; metric / imperial conversion.
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Ratio
and Proportion: scale
factors and map scales; metric / imperial conversion.
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Area:
compound
shapes, area of triangle, parallelogram and trapezium, by formula.
Area
scale factor.
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Area:
compound
shapes, area of triangle, parallelogram and trapezium, by formula.
Area
scale factor.
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Area:
compound
shapes, area of triangle by formula.
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Statistics
2: averages,
range, grouping data, frequency polygons.
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Statistics
2: averages,
range, grouping data, frequency polygons.
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Statistics
2: averages,
range, grouping data, frequency polygons.
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Volume:
‘packing
and stacking’, cross section by length. Prisms.
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Volume:
‘packing
and stacking’, prisms.
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Volume:
‘packing
and stacking’, prisms.
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Inequalities:
building
and solving equations. Solving simple inequalities.
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Inequalities:
building
and solving equations. Solving simple inequalities.
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Inequalities:
building
and solving equations.
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Graphs
for Solving Equations and
implicit form of the equation. Simultaneous equations.
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Graphs
for Solving Equations and
implicit form of the equation.
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Graphs
for Solving Equations
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Year
9
Mathematics Course Content
(text: “Key Maths” -
Books 93, 92 and
91)
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In
the
May of this academic year your son will sit his Key Stage 3
examinations;
his results through the year, working with the differentiated texts,
give us
some guidance as to the level of entry for the examination.
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Sets
1 (Book 93) ; Sets 2 and 3 (Book 92); Set 4
and 5
(Book 91).
Chapter
Headings
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Set
1
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Set
2 and 3
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Sets
4 and 5
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Pythagoras
Theorem
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Pythagoras
Theorem
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Area:
rectangles,
parallelograms and triangles.
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Algebra
1: using formulae,
finding formulae, nth term of a sequence.
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Algebra
1: using formulae,
finding formulae, nth term of a sequence.
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Number:
calculations without
a calculator.
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Circles:
circumference and
area.
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Circles:
circumference and
area.
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Symmetry:
line and rotational symmetry; symmetry in 3-D.
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Statistics
1: mean, median, mode
and range; using grouped data, cumulative frequency.
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Statistics
1: mean, median, mode
and range; using grouped data.
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Statistics
1: using the
appropriate chart.
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Accuracy:
working with a
calculator, error in measures, Standard Form.
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Accuracy:
working with a
calculator, error in measurement.
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Estimation
& Measurement
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Volume:
cuboids, prisms,
cylinders.
Dimension
of a formula.
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Volume:
cuboids, prisms,
cylinders.
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Volume:
units; volume of a
cuboid.
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%
Increase/Decrease
Ratio:
sharing; ratio 1 : n
.
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%
Increase/Decrease
Ratio:
sharing; ratio 1 : n
.
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Decimals:
ordering, calculations and estimations.
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Algebra
2: multiplying out
brackets, solving more complex equations.
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Algebra
2: multiplying out
brackets, solving more complex equations.
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Algebra
1: sequences and
special number patterns.
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Statistics
2: correlation;
analysing inappropriate statistics.
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Statistics
2: correlation;
analysing inappropriate statistics.
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Time:
planning and working
with timetables.
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Trigonometry:
Sine, Cosine,
Tangent.
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Probability:
relative frequency, listing outcomes, solving problems.
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Negative
Numbers: temperature
and other number scales.
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Probability:
relative frequency, listing outcomes, solving problems, Tree
diagrams
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Algebra
3: harder trial and
improvement, solving inequalities.
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Statistics
2: analysing Olympic
records and solving problems.
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Loci:
ruler and compass
constructions.
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Decimals:
calculator and
non-calculator work.
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Angles:
types of... , constructing angles.
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Algebra
3: simultaneous
equations, inequalities.
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Angles:
angle properties of polygons.
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Algebra
2: using equations;
equations for number sequences; function machines.
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Graphs:
non-linear graphs,
gradient of a curve, graph sketching.
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Transformations:
a review.
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Fractions:
equivalent fractions
and using a calculator.
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Transformations:
combining transformations, enlargement and similar triangles.
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Algebra
4: simultaneous
equations
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Probability:
theory and
experiment; probability methods and scales.
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Polygons,
Symmetry, Nets
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Loci:
ruler and compass
constructions.
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Percentages:
working with percentages; discounts and wage increases.
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Symmetry
and Nets:
2-D and 3-D symmetry.
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Co-ordinates:
position; finding rules that fit.
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The Mathematics
syllabus for the
GCSE examination follows the London Examinations syllabus 1385/1386
and assesses the four attainment targets of the National
Curriculum:
Ma 1 Using and
Applying
Mathematics
Ma 2 Number and
Algebra
Ma 3 Shape, Space
and
Measures
Ma 4 Handling
Data
For the few boys who
have real
difficulties with the subject we cover the Midland Examining Group's
syllabus C (SMP Graduated Assessment). This allows coverage of the
National Curriculum, and if pupils do well enough, a GCSE grade F or
G can be awarded.
Assessment (for the
London
syllabuses)
Ma 1 is the coursework
component
and accounts for 20% of the final grade. There are two options
available for the assessment of coursework:
Syllabus 1385 requires
a minimum
of TWO extended tasks to be completed during Years 10 and 11; marked
by the pupil's own teacher and moderated by the Board.
Syllabus 1386 assesses
the
coursework component by an extra Terminal Task examination paper
during the normal timings for the GCSE examinations at the end of
Year 11.
Ma 2, Ma 3 and Ma 4 are
assessed
by TWO PARALLEL examination papers, these papers being identical for
both syllabuses.
Ma 2 is weighted at 40%
of the
final grade whilst Ma 3 and Ma 4 are weighted at 20% each.
Levels of Entry
There are three levels
of entry,
Foundation, Intermediate and Higher, and the final decision about
your son's level of entry will be made in the January of 1999
following the trial examinations.
Target Grades
The target grades for
each level
of entry are as follows:
Higher A*, A, B,
C
Intermediate B, C,
D,
E
Foundation D, E, F,
G
Boys achieving a mark
below the
minimum for the award of the lowest grade in each tier will be ungraded.
Setting - Years 10
and
11
We continue with the
setting
arrangements of Years 8 and 9 with the added advantage, where
possible, of your son having the same teacher for both of his GCSE
years. If, however, a boy's work shows that he is in the wrong set,
we will move him appropriately. We are always happy to discuss
setting with parents.
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