﻿ Maths - Subject Information - Kingsbridge Community College

# Maths

Mathematics from Year 7 to 11 is consistently building on prior knowledge and stretching pupils to develop both their theoretical understanding of Mathematics, and its relevance to the world around them. Students are encouraged to explore and to tackle problems using a variety of approaches within a safe and supportive environment.

We follow the Edexcel exam board GCSE course, and the AQA exam board syllabus post GCSE. We strive to offer a bespoke path for all students, challenging students to achieve their potential and preparing them for life beyond college.

### Year 7

Number – clear methods for number operations including knowing the correct order of operations. To be able to use and convert between fractions, percentages, decimals in terms of ratios.

Shape – calculating the perimeter and area of polygons. To be able to identify and draw symmetries of shapes. Use the angle properties of shapes in 2 dimensions.

Algebra – Students begin to generalise problems using algebra by forming, simplifying and substituting values including number and pattern sequences.

Data handling and Probability – drawing draw basic charts, finding average statistics and a measure of spread in order to begin making comparisons between data sets. Students can describe and form probabilities using the number of possible outcomes.

### Year 8

Number – developing understanding of the order of operations involving indices. Rounding numbers, including using significant figures for estimation. Use fractions, decimals, percentage and ratio to solve problems.

Shape – discovering and using angle properties of polygons and parallel lines. Using and forming measures of properties of shapes in 3 dimensions and visualising in 2 dimensions. Students discovering π and calculating using the perimeter and area of circles. Describing and performing transformations of 2 dimensional shapes in the x-y plane. Discovering and applying Pythagoras’ theorem.

Algebra – extending algebraic skills, particularly to form and solving multi-step equations. Making the connection between algebra and Cartesian graphs by constructing graphs of equations of straight lines.

Data handling and Probability – use statistics and charts describe and compare data sets. Students calculating probabilities for multiple events including the use of sample spaces.

### Year 9

Number – using and simplifying indices including the use of standard form for large and small numbers.

Shape – constructions of 2 dimensional objects using ruler and compass. Describing and drawing loci using constructions. Extending Pythagoras’ theorem and introducing trigonometric functions in order to solve applied problems.

Algebra – extending algebraic skills, including quadratic equations. Manipulating algebraic expressions including re-arranging formulae. Solving inequalities in 1 and 2 dimensions. Making the connection between algebra and Cartesian graphs by constructing graphs of equations of straight lines.

Data handling and Probability – developing use of statistical techniques and diagrams including cumulative frequency. Comparing theoretical and experimental probability.

### Year 10

Number – Operating on numbers including negative numbers, fractions, decimals, percentages and powers. Calculations with Standard Form. Types of numbers identified including finding LCM and HCF. Calculator and non- calculator methods practised. Approximating to an appropriate or given degree of accuracy.

Algebra – Substitution, simplifying, expanding brackets, factorising and solving. Plotting straight lines and quadratic curves.  Using letters to solve problems.  Solving simultaneous equations and inequalities.

Shape - Angle geometry and calculation of areas of shapes and the volumes of solids.  Using Pythagoras and/or trigonometry to solve problems in 2 and 3 Dimensions.  Transforming shapes on a co-ordinate axis. Loci and constructions.

Data handling - Collecting data, illustrating data using pie-charts, stem & leaf diagrams, scatter graphs, cumulative frequency curves and histograms. Analysing data by finding mean, mode, median and comparing using box and whisker diagrams. Extracting information from diagrams. Practical and theoretical probability.

### Year 11

Number – Further manipulation of integer, negative and fractional indices. Approximating and using the limits of a number to solve problems. Direct and inverse proportion. Calculations using surds.

Algebra - Extension of algebraic manipulation to include factorising, solving and rearranging. Solving inequalities and defining on a graph.

Shape - plotting cubic, reciprocal and trigonometric curves. Solving area and volume problems incorporating algebraic terms.  Use vectors. Define and use the circle theorems.

Data handling – Further extend the skills of collecting, illustrating and analysing data. Understand sampling methods. Calculate simple and conditional probability.

### AS Mathematics

The subject content for A-level Mathematics is set out by the Department for Education and is common across all exam boards.

The subject areas covered at AS and level course are as follows:

Proof, Algebra and functions, Coordinate geometry in the (x, y) plane, Sequences and series, Trigonometry, Exponentials and logarithms, Differentiation, Integration, Numerical methods, Vector, Statistical sampling, Data presentation and interpretation, Probability, Statistical distributions, Statistical hypothesis testing, Quantities and units in mechanics, Kinematics, Forces and Newton’s laws, Moments.

### AS and A level Further Mathematics

AS and A level Further Mathematics are taught as separate AS and A levels alongside AS and A level mathematics. Further mathematics is an excellent choice for students intending to study subjects with a significant mathematical content at University. It builds on students’ A level Mathematics studies, helping them to develop their problem solving skills in addition to introducing them to some more abstract concepts and extending their knowledge of applied mathematics.

The specification for A level Further Mathematics is designed to be co-teachable with the standalone AS Level in Further Mathematics qualification. The subject areas covered at AS and A level are the same but more complex techniques and concepts are met within these areas in the full A level, building on the foundations established at AS.

The subject areas covered at AS and level course are as follows:

Proof, Complex Numbers, Matrices, Further Algebra and Functions, Further Calculus, Further Vectors, Polar Coordinates, Hyperbolic functions, Differential equations, Trigonometry, Numerical methods, Dimensional Analysis, Momentum and collisions, Work, energy and power, Circular motion, Centres of mass and momentum, Discrete random variables, Poisson Distribution, Continuous Random Variables, Chi tests, Exponential Distribution, Inference, Confidence Intervals.

### Core Maths (AQA)

Core Maths is a newer course for those who want to keep up their valuable maths skills but who are not planning on taking AS or A-level mathematics. It is a level 3 qualification- similar to an AS. The course is assessed by final examination.

Core maths has been designed to maintain and develop real-life skills.  What students study is not purely theoretical or abstract; it can be applied on a day-to-day basis in work, study, or life and the course will include financial maths and statistical elements.

The subject areas covered are as follows:

Analysis of data, Maths for personal finance, Estimation, Critical analysis of given data and models, The Normal Distribution, Probabilities and estimation, Correlation and regression.