Maths

Number - types of number, arithmetic.

Skills - use of arithmetic, knowing prime, square, cube numbers

Number - calculation problems. Geometry - exploring 3D shapes

Skills - being able to  use four operations

Content - area and perimeter of 2D shapes, using percentages, fractions and percentages - being able to convert between.

Skills - being able to find percentages. converting between fractions and %

Content - reasoning and theoretical probability. Solving linear equations. Investigating statistics.

Skill - using four operations with fractions, bar charts, pie charts, pictograms, vertical line charts. Averages and range.

Content - shape work including identifying circles and graphs.

Skill - using coordinates. Using and understanding lines parallel o the axes. y=x y=-x

Content - Ratio, shape work including rotation, reflection and translation. Units of mass, length and capacity.

Skill - using ratio, converting between standard units.

Content - sequences, HCF, LCM, Prime factorisation, positive integer powers 

Skill - Using number and revising previous number skills

Content - using four operations with decimals, be able to write expressions and inequalities. Laws of indices

 Skill - developing use of algebraic skills, use of number

Content - circumference of circles, volume of prisms and cylinders. Percentage change and interest. Four operations with fractions 

Skill - using Venn diagrams, area and volume formulae, working with percentages

Content - Linear equations with unknowns on both sides. Discrete and continuous data, compare using averages. 

Skill - scatter graphs and correlation. Interpreting and analysing. Being able to compare data

Content - Angles and scale drawings, maps, bearings and constructions. Linear and quadratic graphs. 

Skill - using angles and bearings. Be able to construct using ruler and compasses. Plot straight line graphs.

Content - Enlargement, compound units. Simple kinematic problems. 

Skill - be able to convert units.

Content - Number work revision, factors, multiples and primes. Rules of indices. Shape work including angles

Support - Using four operations with numbers. Knowing shape properties.

Core - Shape properties and angle facts including angles in polygons

Higher - Standard form and estimation. Loci and construction.

Skill - Be able to revise previous skills. Use estimation to solve problems and check work.

Content - use and interpret algebraic notation, simplify and manipulate algebraic expressions. Order integers, decimals and fractions, apply the four operations, including formal written methods, to simple fractions (proper and improper), and mixed numbers.

Higher - understand and use the concepts and vocabulary of identities, translate simple situations or procedures into algebraic expressions or formulae. Be able to use direct and inverse proportion. use compound units such as density and pressure; change freely between compound units (e.g. density, pressure) in numerical and algebraic contexts.

Skill - being able to understand and use the concepts and vocabulary of expressions, equations, formulae, inequalities, terms. Be able to change freely between fractions, decimals and percentages, and factors.

Content - generate terms of a sequence either from a term-to-term rule or a position-to-term rule, recognise and use sequences of triangular, square and cube numbers as well as simple arithmetic progressions. Deduce expressions to calculate the nth term of linear sequences. solve linear equations in one unknown algebraically (including those with the unknown on both sides of the
equation)  

Higher - recognise and use Fibonacci type sequences, quadratic sequences and simple geometric progressions. understand and use standard mathematical formulae, rearrange formulae to change the subject  

Skill - Becoming more confident with algebra.

Content - know and apply formulae to calculate: area of triangles, parallelograms, trapezia; volume of cuboids and other right prisms (including cylinders), know the formulae, area of a circle, calculate: perimeters of 2D shapes including circles, areas of circles and composite shapes. Be able to use ratio and proportion in different contexts.

Higher - introduction to pythagoras. Being able to find congruent and similar triangles and use known results to obtain simple proofs.

Skills - Being able to use formulae to apply knowledge to questions.

Content - coordinates and linear graph properties, be able to interpret maps and scale drawings and use of bearings. Identify, describe and construct congruent shapes, including on coordinate axes. describe translations as 2D vectors.

Higher - find the equation of the line through two given points, or through one point with a given gradient. find approximate solutions to linear equations using a graph, solve two linear simultaneous equations in two variables algebraically.

Skills - be confident in graph work and able to construct different graphs.

Content -be able to use frequency of outcomes of probability experiments using tables and frequency trees. Relate relative expected frequencies to theoretical probability, using appropriate language and the 0 - 1
probability scale. Be able to use venn diagrams. interpret and construct tables, charts and diagrams, including frequency tables, bar charts, pie charts and
pictograms for categorical data, vertical line charts for ungrouped discrete numerical data and know their appropriate use. Be able to use scatter graphs and describe correlation.

Higher - be able to use tree diagrams

Skills - using charts and graphs to build on previous knowledge

Content - use inequality notation to specify simple error intervals due to truncation or rounding, apply and interpret limits of accuracy. Calculate with roots, and with integer indices.
Calculate with and interpret standard form. Identify and apply circle definitions and properties, construct and interpret plans of 3D shapes.

Higher -  Fractional indices and surds. Equations of circles, Simultaneous equations

Skills - Being able to use prior knowledge about coordinates. Using metric and imperial units

Content - simplify and manipulate algebraic expressions including quadratic expressions.
know the difference between an equation and an identity; argue mathematically to show algebraic
expressions are equivalent, and use algebra to support and construct arguments. Solve problems involving percentage change including in financial mathematics. Solve problems involving direct and inverse proportion.

Higher - Be able to solve questions using algebraic fractions. change recurring decimals into their corresponding fractions and vice versa

Skill - Be able to use previous algebraic manipulation skills.

Content - Recognise and use Fibonacci type sequences, quadratic sequences and simple geometric progressions. Derive an equation, solve the equation and interpret the solution. Understand and use standard mathematical formulae, rearrange formulae to change the subject.

Higher - deduce expressions to calculate the nth term of quadratic sequences. Solve simultaneous equations where one is linear, one quadratic.

Skill - be able to spot the rule of sequences and whether they are arithmetic or geometric.

Content - Apply angle facts, triangle congruence, similarity and properties of quadrilaterals to conjecture and derive results about angles and sides, including Pythagoras’ Theorem and the fact that the base angles of an isosceles triangle are equal, and use known results to obtain simple proofs use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS).

Higher - calculate surface area and volume of spheres, pyramids, cones and composite solids. recognise and use the equation of a circle with centre at the origin.

Skill - Be able to use given facts to prove.

Content - Use the form y = mx + c to identify parallel lines. Be able to find the equation of the line. Identify and interpret roots, intercepts, turning points of quadratic functions graphically. Solve two linear simultaneous equations in two variables algebraically.

Higher - describe the changes and invariance achieved by combinations of rotations, reflections and translations. understand that X is inversely proportional to Y is equivalent to X is proportional to 1/Y ; construct and interpret equations that describe direct and inverse proportion.

Skill - be able to use graph knowledge to solve different problems.

Content - Apply property that the probabilities of an exhaustive set of outcomes sum to one; enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams. Introduction to cumulative frequency graphs, interpret, analyse and compare the distributions of data sets including box plots. Construct and interpret histograms.

Higher - calculate and interpret conditional probabilities through representation using expected frequencies with two-way tables, tree diagrams and Venn diagrams. Infer properties of populations or distributions from a sample, whilst knowing the limitations of sampling.

Skills - to be able to analyse data.

Students are on an individualised pathway and following assessment at beginning of year areas are highlighted and worked on in class. Independent revision encouraged and identifying of areas needed.

Revision - using gaps identified from mocks to teach

Revision - using gaps identified from mocks to teach

Revision - using gaps identified from mocks to teach

Revision - using gaps identified from mocks to teach

Revision - using gaps identified from mocks to teach

Content - GCSE higher recap on algebra, geometry and number. Coordinate geometry, differentiation.  

Skills - using previous GCSE knowledge and extending understanding 

Content - rates of change, integration, trigonometric graphs, vector geometry

Content - Logarithms, exponentials. Mechanics - SUVAT, newton’s 1st and 2nd laws

Content - Proof Statistics - revision of GCSE handling data, using the large data set, binomial distribution, hypothesis testing.

 Skills - analysing and deducing

Revision - using gaps identified from mocks to teach

Content - moving on to A level content. Functions review, partial fractions, sequences and series. 
Skills - using prior knowledge to build further
 

Content - differentiation - chain rule, product rule and quotient rule. Radians, trigonometric functions. 

Content - mocks and review. Integration. Mechanics - constant and variable acceleration.

 
Skills - being able to use mock exam to show areas of need and focusing revision.

Content - Integration by parts, differential equations. Mechanics - motion under gravity, resolving forces, 3D vectors. 

Skill - putting all learnt knowledge into answering exam questions and being able to recall year 12 learning

Mocks and review.

Revision - using gaps identified from mocks to teach

Course complete.