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Maths
Curriculum
Year
7
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Topics Covered |
Description |
| Term 1 |
Number
1
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Mental
arithmetic. Non-calculator
methods for addition and subtraction.
Rounding numbers to the nearest 10, 100, and
estimating results.
Appropriate use of a calculator.
Multiplication
facts. Non-calculator methods for multiplication and
division. BIDMAS.
Appropriate use of a calculator. |
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Number
2
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Factors,
multiples, prime numbers and indices.
Product of prime factors.
Number patterns. |
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Algebra
1
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Positive
and negative co ordinates.
Properties
of quadrilaterals. |
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Shape
1
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Reflection
and rotation symmetry.
Congruence. |
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Handling
Data 1
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Collecting
and displaying data, frequency tables, bar charts and
pictograms.
Mean,
range, median and mode.
Grouped
data. |
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Algebra
2
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Using
formulas, words and symbols.
Four rules using directed numbers |
| Term 2 |
Number
3
|
Four
rules with fractions and decimals.
Non-calculator methods.
Equivalent
fractions and simplifying fractions.
Percentages.
Conversions between each.
Rounding to decimal places. |
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Shape
2
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Geometry
of angles. Types
of angles. Measuring
and drawing angles.
Angle facts and calculations.
Triangles and quadrilaterals. |
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Handling
data 2
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Probability,
chance, outcomes and relative frequency. |
| Term 3 |
Number
4
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Metric
units of length and mass.
Converting units.
Addition and Subtraction.
Money units. |
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Shape
3
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Area
of squares, rectangles and triangles.
Area of compound figures.
Volume
and nets of cubes and cuboids.
Drawing 3D shapes on isometric paper. |
| Algebra
3
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Straight-line
graphs. Conversion
graphs. Co
ordinates and straight lines. |
| Algebra
4
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Solving
linear equations with one or two operations. |
| Revision
and Examination
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Maths
Curriculum
Year
8 - Higher |
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Topics Covered |
Description |
| Term 1 |
Number
1
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Indices,
positive, negative, zero index.
Rules for multiplying and dividing.
Standard Form.
Significant figures.
Estimating and using a Calculator. |
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Handling
data 1
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Probability
that an event does not happen.
Possibility space diagrams for Two events. Expected number of times an event will occur. |
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Shape
1
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Sum
of interior and exterior angles of regular and irregular
polygons. Tessellation. |
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Number
2
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Multiplication
and division of fractions and mixed numbers.
BIDMAS.
Finding
one quantity as a fraction or percentage of another. Interchanging fractions, decimals and percentages.
Percentage
increase and decrease. |
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Algebra
1
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Constructing
formulas. Using
brackets. Multiplication
and division of directed numbers.
Substitution.
Finding the nth term of a sequence. |
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Shape
2 |
Areas
of triangles and parallelograms.
Square
roots with a calculator.
Area
of compound shapes.
Circumference and area of circles |
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Number
3
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Ratio.
Comparing sizes of quantities.
Simplifying ratios.
Ratios as fractions.
Using ratio to find unknown quantities.
Division into a given ratio.
Map ratios.
Direct proportion. |
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Algebra
2
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Linear
equations. Forming
and solving problems involving brackets.
Multiplication
and division of algebraic fractions.
Solving equations with fractions.
Forming and solving linear inequalities. |
| Term 2 |
Data
handling 2
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Hypothesis
testing. Scatter
diagrams. Line
of best fit, positive and negative correlation.
Questionnaires. |
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Shape
3 |
Reflections,
translations and rotations.
Order of rotational symmetry.
Centre of rotation.
Enlargements;
finding the centre of enlargement, using positive and
fractional scale factors. |
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Algebra
4
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Straight
line graphs. Plotting
a line from its equation.
Gradient.
The
equation y = mx + c . Intersecting
lines. Conversion
graphs.
Curved
graphs. Constructing
a table from a formula.
Equation of a curve.
Shape of curves with equations of the form y
= ax² = bx + c. |
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Handling
data 3
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Discrete
and continuous data.
Rounding continuous values.
Grouping continuous data and illustrating with
bar charts. Range
and modal class. Frequency
polygons. |
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Algebra
5
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Forming
and solving simultaneous equations algebraically and
graphically. |
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Shape
4
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Volumes
of solids with constant cross sectional areas (prisms
and cylinders). Density. |
| Term
3 |
Algebra
6 |
Forming
polynomial equations.
Simplifying expressions with brackets.
Solving equations in the form x² = 20 with a
calculator.
Trial
and improvement methods. |
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Shape
5 |
Pythagoras’
theorem. Using
Pythagoras’ theorem for finding lengths in isosceles
triangles and circles. Converse of Pythagoras’ theorem. |
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Algebra
7 |
Travel
graphs. Finding
distances from distance-time graphs.
Relationship between distance, speed and time.
Average speed.
Using travel graphs. |
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Shape
6 |
Making
and using scale drawings.
Angles of elevation and depression.
Three-figure bearings. |
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Revision
and Examination |
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Maths
Curriculum
Year
8 - Intermediate |
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Topics Covered |
Description |
| Term 1 |
Number
1
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Mental
arithmetic. Addition,
subtraction, multiplication and division.
Non-calculator methods for multiplication and
division. Mixed
operations and brackets. |
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Shape
1
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Types
of angles. Measuring
and drawing angles.
Angle facts and calculations.
Triangles and quadrilaterals.
Using compasses to draw triangles |
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Number
2
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Prime
numbers. Positive
indices. Prime
factors. Common factors and common multiples. Rectangle and triangle numbers. |
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Handling
data 1 |
Summarising
and comparing data.
Using the mean and range of ungrouped data to
compare distributions. Discussion of which measure of central tendency, mean, median
or mode is the most useful. |
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Number
3 |
Fractions:
Equivalent
fractions. Addition
and subtraction of fractions.
Mixed
numbers and improper fractions.
Multiplying fractions and
mixed
numbers. Multiplication
by a whole number.
Finding fractional parts of quantities.
Expressing one quantity as a fraction of another. |
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Shape
2
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Reflection
in a mirror line. Translation.
Order of rotational symmetry.Rotation.
Meaning of congruence. |
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Number
4 |
Decimals:
Non-calculator methods for multiplication and
division by 10, 100, 1000.
Expressing simple decimals as fractions and
simple fractions as decimals.
Correction to a given number of decimal places.
Estimating reasonableness of answers.
Using a calculator for multiplication, division,
mixed operations and powers. |
| Term 2 |
Algebra
1
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Directed
numbers: addition, subtraction, multiplication and
division.
Using
letters for an unknown quantity.
Constructing and using simple formulae.
Using formulae that involve directed numbers. |
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Handling
data 2 |
Information
from charts
Reading
various forms of bar chart and pie chart. |
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Number
5
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Interchanging
percentages, fractions and decimals.
Finding
a percentage of a quantity. |
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Number
6
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Units
of length, mass and capacity.
Changing from a small unit to a larger one.
Adding and subtracting quantities expressed in
units. |
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Shape
3
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Area
and volume.
Formulas
for the area of a square and rectangle.
Finding the area of a compound figure.
Changing units of area.
The formula for the volume of a cuboid.
Changing units of volume and capacity. |
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Algebra
2
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Forming
equations. Solving
equations using one or two operations.
Simplifying expressions.
Solving equations with letter terms on both
sides. |
| Term 3 |
Handling
data 3
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Probability:
Equally likely events.
Probability of events that can only happen once,
and that can happen more than once.
Certainty
and impossibility, and the probability scale.
Using
relative frequency as an estimate of probability. |
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Algebra
3
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Coordinates
and straight lines.
Using coordinates to classify quadrilaterals.
Straight line graphs and the meaning of the
equation of a line.
Drawing a line from its equation by making a
table of values. Constructing
conversion graphs. |
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Number
7
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Using
arithmetic. Postage.
Costing holidays from brochures.
Adapting recipes. Using timetables. Electricity
and telephone bills.
Savings. |
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Revision
and Examination |
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Maths
Curriculum
Year
9 - Higher |
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Topics Covered |
Description |
| Term 1 |
Number
1
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Limits
of accuracy. Reciprocals.
Interchanging fractions and decimals. Recurring
decimals.
Percentage
increase and decrease.
Finding the original quantity after a percentage
change. Interest.
Compound percentage change. |
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Handling
Data 1 |
Probability.
Mutually exclusive and independent events.
Addition and multiplication of probabilities.
Tree diagrams. |
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Algebra
1 |
Algebraic
products: product of two brackets, perfect squares and
the difference between two squares.
Algebraic
factors; common factors, factorising quadratic
expressions, recognising factors of a difference of two
squares. |
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Shape
1 |
Area
of a trapezium. Arc
length and area of a sector of a circle.
Volume
of a prism. Dimensions of a formula. |
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Number
2 |
Ratio
and proportion. Expressing
ratios in the form 1: n.
Division into a given ratio.
Direct and inverse proportion |
|
Algebra
2 |
Inequalities
as a region of a plane.
Inequalities involving x
and y.
The
region of the plane satisfying more than one inequality. |
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Handling
Data 2
|
The
mean of an ungrouped and a grouped frequency
distribution.
Cumulative
frequency. Cumulative frequency curves.
The median of a grouped frequency distribution.
Quartiles and inter-quartile range. |
| Term 2 |
Algebra
3 |
Constructing
formulae. Substituting
into formulae. Changing
the subject. Finding
the nth term of a sequence in terms of n. |
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Shape
2 |
Similar
triangles. Conditions
for two triangles to be similar.
Finding unknown lengths in similar triangles. |
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Algebra
4 |
Simultaneous
equations where one or both equations need multiplying
before elimination. |
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Shape
3 |
Transformations.
Enlargement by a negative scale factor.
Reflections and rotations.
Compound transformations.
Vectors and translations. |
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Algebra
5
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Solving
quadratic equations by factorisation.
Problems involving quadratic equations.
Solving by trial and improvement (some).
Using
graphs to solve quadratic equations.
Graphs of cubic and reciprocal functions. |
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Shape
4 |
Trigonometry.
Sine,
cosine and tangent of an angle.
Finding
any side or an angle. |
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Shape
5 |
Loci.
Ruler and compass constructions. Loci involving regions. |
| Term 3 |
Key
Stage Tests |
Preparation
and revision. |
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Algebra
6
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Four
rules and simplifying algebraic fractions.
Solving equations involving fractions. |
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Shape
6
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Angles
in circles. Use
of circle theorems to calculate given angles. |
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Maths
Curriculum
Year
9 - Intermediate |
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