Pupils follow a balanced course leading to assessment in 4 attainment targets – Using and Applying Maths, Number and Algebra, Shape, Space and Measures and Handling Data. The course is assessed by two 2hour written examination papers. One paper allows the use of a calculator and one paper does not.
Autumn Term
Changing the Subject

Change the subject of formula.
Simultaneous linear equations

Solving simultaneous equations both graphically and algebraically.

Substitute for one unknown from one equation into the other equation.

Use method of elimination to solve equations.
Inequalities and Shading Regions

Solve simple linear inequalities and show them on a number line.

Plot lines from equations.

Shade regions satisfying inequalities
Recognising, Graphing and Solving Equations
Draw quadratic, cubic graphs by completing tables of data.
Solve quadratic and cubic equations using a given graph or where one has to be drawn.
Recognise, interpret and sketch
(a) Linear graphs.
(b) Quadratic graphs.
(c) Cubic graphs.
(d) Other graphs including reciprocal curves.
Circle theorems
Know and use angle and tangent properties of a circle including

Perpendicular bisector of a chord passes through centre of circle

Angle between a tangent and a radius is 90 degrees

Tangents drawn from an external point are equal.

Angle in a semi circle is a right angle

Angle at the centre is twice the angle at the circumference

Angles in the same segment are equal

Opposite angles of a cyclic quad are supplementary

Alternate segment theorem
Give reasons for the steps in their solutions.
Spring Term
Transformations

Reflection.

Rotation of an object about a centre of rotation.

Translation

Enlargement by a scale factor from a centre of enlargement.
Transformation of graphs
Sketch the graph of:

y=f(x+a) given the graph of y=f(x)

y=f(x)+a given the graph of y=f(x)

y=f(ax) given the graph of y=f(x)

y=f(x) given the graph of y=f(x)
Rational and irrational numbers
To identify:

rational numbers

irrational numbers

terminating decimals

recurring decimals
To show that a recurring decimal is rational.
Simplify surds.
Surds

Manipulate and simplify surds.
Probability

Estimate probabilities using available information.

Calculate probabilities recognising independent events (i.e..P(A and B) = P(A)xP(B)).

Calculate probabilities which are mutually exclusive i.e. P(A or B) = P(A)+P(B).

Choose and use an appropriate method to calculate probabilities (i.e. sample space, tree diagram)

Formalise probability rules of P(A and B) = P(A)xP(B)) and P(A or B) = P(A)+P(B).
Summer Term
Upper and lower bounds

Find upper and lower bounds.

Apply correct combinations of upper and lower bounds in problems involving compound measures.
Volume and surface area

Revise perimeter and area of circle, trapezium etc.

Find the surface area and volume of cylinders, prisms, pyramids, cones and spheres.

Recognise lines and planes of symmetry.
Bearings

Construct a scale diagram given lengths and bearings.

Express an angle as a bearing.

Calculate missing lengths / bearings using Trigonometry / Pythagoras Theorem.
Charts

Interpret presented data including frequency polygons, pie charts and bar charts.
Averages

Find mode, median and range from simple and grouped data.

Find mean from discrete data.

Find modal class, estimate the mean, median and range of sets of grouped data.

Interpret presented data including frequency polygons, pie charts and bar charts.
Variation/ Proportion

Write a formula for direct proportion using the constant (k) of proportionality.

Extend proportion ideas to squared, cubic, squared root , cubic root proportion.

Extend proportion ideas to INVERSE proportion.

Recognise graphical display of given formulae.