Name of topic

Key Content of the Topic

Assessment points

HT 1

Number skills recap, introduction to algebra

Decimals, rounding and estimating, negative numbers, BODMAS, simplifying algebraic expressions and indices.

HT 2

Basic algebraic skills, simple 2D geometry, averages

Expanding brackets, solving equations, properties of quadrilaterals and triangles, area of 2D shapes, angle properties and types of averages.

Termly assessment

HT 3

Number calculations, types of number, fractions

Written methods for addition, subtraction, multiplication and division, factors, multiples and primes.  Calculating with fractions; cancelling, equivalence, addition, subtraction, multiplication, division, fractions of amounts.

HT 4

Further algebra, percentages, angles in polygons

Solving more complicated equations, factorising, calculating percentages of amounts, percentage increase and decrease and angles in polygons.

Termly assessment

HT 5

Ratio, further algebra 2, probability

Ratio and proportion, substitution, changing the subject, calculating probabilities, sample space diagrams and expectation.

Termly assessment

HT 6

Coordinates, bearings, scale drawings, 3D shapes

4 quadrant coordinates, midpoint, bearings, maps scales, scale drawing, nets of 3D shapes, 2D projections, volume and surface area of cuboids.

Name of topic

Key Content of the Topic

Assessment points

HT 1

Sequences, functions, further ratio, further percentages

Generate sequences, nth term, using function notation, plotting graphs, divide a quantity into a given ratio, direct and inverse proportion, calculating percentage of an amount, increases and decreases using a calculator

HT 2

Transforming shapes, similar shapes, units of measure, changing the subject, equation of straight lines

Rotational and line symmetry in 2D shapes, reflection, rotation, translation, enlargement of 2D shapes, converting between units of measure, similar triangles, ratio in area and volume, further changing the subject, using the equation of straight-line graphs, parallel and perpendicular lines.

Termly assessment

HT 3

Statistical diagrams, complex equations, further probability

Pie charts, scatter graphs and correlation, solving equations containing fractions, trial and improvement, simultaneous equations, experimental probability, relative frequency and tree diagrams.

HT 4

Further Statistics, Pythagoras’ theorem, constructions, further indices, standard form

Frequency polygons, averages from frequency tables, Pythagoras’ theorem, constructions, loci, laws of indices, negative and fractional indices, calculating with standard form.

Termly assessment

HT 5

Inequalities, the circle

Solving inequalities, plotting inequalities, area and circumference of a circle, arc length, sector area.

Termly assessment

HT 6

Limits of accuracy, decimals

Upper and lower bounds, converting fractions and decimals, recurring decimals

Name of topic

Key Content of the Topic

Assessment points

HT 1

Algebra revision, circle theorems, simultaneous equations, sequences

Revision of basic algebraic manipulation skills (factorising, expanding brackets, changing the subject), changing the subject by factorising, circle theorems, solving simultaneous equations algebraically and graphically, nth term of linear and quadratic sequences.

HT 2

Quadratic equations, complex percentages, Pythagoras revision, trigonometry

Expanding double brackets, factorizing simple quadratic expressions, percentage increase and decrease, compound interest, reverse percentages, Pythagoras’ theorem revision, right angled trigonometry.

Termly assessment

HT 3

Further quadratic equations, similarity and congruency, 3D shape, quadratic graphs

Solving quadratic equations by factorizing, quadratic formula and completing the square.  Similar triangles, congruent triangles, surface area and volume of prisms, cylinders, cones, and pyramids. Drawing quadratic graphs and solving quadratic equations graphically.

Termly assessment

HT 4

Algebraic fractions, functions

Solving equations containing fractions, adding, subtracting, multiplying and dividing algebraic fractions, using function notation, compound and inverse functions.                       

HT 5

GCSE content: revision of basic number, algebra, shape and statistics knowledge

Written numerical calculations, BODMAS, laws of indices, factors and multiples angle properties, scale drawing and bearings, algebraic manipulation (expanding brackets, factorising), calculations with fractions and decimals.  Collecting data, frequency tables, frequency polygons, scatter graphs,

Termly assessment

HT 6

GCSE content: revision of basic number, algebra, shape and statistics knowledge, further statistical diagrams

Cumulative frequency diagrams, box plots and histograms.  Linear, quadratic and geometric sequences, percentage revision, limits of accuracy.  Calculating and using the equation of straight-line graphs, parallel and perpendicular lines.

Name of topic

Key Content of the Topic

Assessment points

HT 1

Revision of 2D shapes, real life graphs, circles,

Properties of 2D shapes, area and perimeter, nets, plans and elevations, volume and surface area of prisms and cylinders, arc length and sector area. Interpreting real life graphs including speed-time and distance-time graphs.

HT 2

ratio and proportion, quadratics, basic probability, standard form

Ratio and proportion, changing the subject, expanding and factorising quadratic expressions, substitution, solving linear equations.  Calculating probabilities, relative frequency, sample space diagrams, combinations of events and standard form.

HT 3

Transforming shapes, constructions, financial Maths, units of measure

Reflection, rotation, translation, enlargement of 2D shapes, constructions and loci, using percentages to solve financial problems, converting between units of measure, units of area and volume

Termly assessment

HT 4

Surds, averages, indices, polygons, similarity, congruency

Surds, calculating and using averages, laws of indices, fractional and negative indices, properties of polygons, similar and congruent triangles and ratio in area and volume.

HT 5

Pythagoras’ theorem, trigonometry, further probability

Right angled trigonometry, Pythagoras’ theorem, tree diagrams, venn diagrams, conditional probability

Trial Exam

HT 6

3D shapes, graphs, simultaneous equations

Surface area and volume of spheres, pyramids, cones and composite solids, sketching graphs of functions (quadratic, cubic, reciprocal, linear), solving quadratic equations by factorising and graphically, solving simultaneous equations algebraically and graphically.

Name of topic

Key Content of the Topic

Assessment points

HT 1

Further quadratics, algebraic fractions

Expanding two or more brackets, factorising simple quadratic expressions, rearranging more complicated formulae, algebraic proof, simplifying algebraic fractions, adding, subtracting, multiplying, dividing algebraic expressions

HT 2

Functions, further trigonometry, growth and decay

Function notation, composite and inverse functions, apply Pythagoras’ theorem and trigonometry to 3D shapes, graphs of exponential functions, growth and decay problems.

Trial Exam

HT 3

Circle theorems, further equations and graphs, proportion

Circle theorems, solving quadratic equations by factorising, quadratic formula, completing the square.  Completing the square to deduce turning points, solving quadratic simultaneous equations algebraically and graphically, direct and inverse proportion

HT 4

Inequalities, vectors, trig graphs, sine and cosine rules, transforming graphs

Solving linear and quadratic inequalities, graphical inequalities, trigonometric graphs, sine and cosine rule, area sine rule, transforming graphs (translation, reflection).

HT 5

Numerical methods, curved graphs, curved graphs, equation of a circle

Trial and improvement, iteration, calculating and interpreting the gradient of a curved graph, calculating and interpreting the area under a curved graph, using the equation of a circle.

HT 6

NA

GCSE exams

Name of topic

Key Content of the Topic

Assessment points

HT 1

Differentiation, permutations and combinations

Differentiation, gradient of a curve, stationary points, probability diagrams, factorials and the product rule, permutations and combinations

HT 2

Binomial distribution, exponentials and logarithms, integration

The binomial distribution, exponential and logarithmic functions, reduction to linear form, equations involving exponentials, indefinite and definite integrals, area between curve and x axis, area between two curves.

Trial Exam

HT 3

Application to kinematics, numerical methods, Algebraic manipulation

Motion in a straight line, acceleration due to gravity, variable acceleration, locating a root, iterative sequences, gradients of tangents, area under a curve, application of numerical methods, simplifying algebraic fractions, surds.

HT 4

Polynomials, applications of equations, sequences, lines and circles

Addition, subtraction, multiplication and division of polynomials, factor theorem, quadratic equations, application of equations and inequalities, sequences and recurrence relationships, linear and circle coordinate geometry.

HT 5

Graphs, inequalities, trigonometry

Linear, polynomial, exponential and trigonometric graphs, graphical linear inequalities, linear programming, sine rule, cosine rule, area sine rule, trigonometric inequalities, solving trigonometric equations, 3D trigonometry, application of trigonometry to modelling,

HT 6

NA

GCSE exams

Name of topic

Key Content of the Topic

Assessment points

HT 1

Binomial expansion, algebra and number beyond the GCSE syllabus

Binomial expansion, combinations, surds, indices, quadratic functions, linear functions, functions (composite, inverse), exponential functions, inequalities, simultaneous equations, factor theorem, sequences, proof.

HT 2

Geometry beyond the GCSE syllabus, calculus

Circle theorems, equation of a circle, geometric proof, trigonometry in 2D and 3D shapes, trigonometric identities, differentiation to find gradient of a curve, tangents and normals, increasing and decreasing functions, stationary points, application of differentiation.

HT 3

Matrices

Matrix algebra, transformations with matrices.

GCSE exams