Mathematics

maths

maths

Aims

At Key Stage 3, mathematics is taught in sets. The curriculum is focused on the key concepts and processes vital to the understanding of mathematics; these are the essential skills and processes that students need to learn to make progress.  The programme of study for Key Stage 3 builds on Key Stage 2 to develop mathematical reasoning and competence in solving everyday problems.

Overview of Content

  • Number
  • Shape, space and measurement
  • Algebra
  • Data handling
  • Thinking skills and logic
  • Cross curricular applications of maths
  • Mathematics in ICT
  • Problem Solving

Year 7 and 8 students are assessed at the end of each module and together, with work completed in lesson time, a grade between 1-9 will be assigned to represent depth of understanding of topics covered.

 What does this course involve at Key Stage 3?

Maths at Key Stage 3 involves the development of the Units listed below. The aim of this course is to ensure students become fluent in the fundamentals of Mathematics, with a focus on a deeper understanding of topics. To ensure students can reason Mathematically and solve problems by applying their Mathematical skills.

What do you need to be successful in this course?

To be successful students need to develop their understanding and knowledge of the Mathematical and Numerical concepts outlined. To achieve this, students need to be open to and accepting of new and sometimes unfamiliar concepts.

Year 7

Investigating Number Systems – place value, rounding numbers to an appropriate degree of accuracy including decimal places and significant figures ordering positive and negative integers, decimals and fractions.

Pattern Sniffing – terms of a sequence, common sequences, prime numbers, HCF, LCM, square and cube numbers.

Solving Calculation Problems – apply four operations to integers, decimals and fractions, BIDMAS, inequality symbols, estimation, substitution, algebra concepts and vocabulary, use and interpret algebraic notation.

Exploring Shape – parts of 3D shapes, use of conventional terms and notations to label shapes, finding missing angles.

Generalising Arithmetic – apply four operations to integers, decimals and fractions, BIDMAS, inverse operations, use and interpret algebraic notation, simplify and manipulate algebraic expressions, algebra concepts and vocabulary.

Reasoning with Measures – perimeter of 2D shapes, know and apply formula to find circumference of a circle and area of triangles, parallelograms, trapezia and circles, know and apply formulae to calculate volume of cuboids.

Discovering Equivalence – interpret percentages as a fraction, a decimal or a multiplier, express one quantity as a percentage of another, comparing quantities using percentages, increase and decrease by a percentage, order integers, decimals and fractions.

Investigating Statistics – interpret and construct frequency tables, bar charts, pie charts, pictograms and vertical line charts, calculate and interpret median, mode, mean and range.

Solving Number Problems – solving linear equations with one unknown, use of inequality signs.

Reasoning with Fractions – express one quantity as a fraction of another, probability scale, recording and analysing results of a probability experiment, expected frequencies, constructing and analysing sample spaces.

Shape Properties 2 – draw diagrams from written description, measuring line segments and angles, explain key vocabulary and label sides and angles using conventional notation, label and define parts of a circle.

Exploring Change – plot and describe coordinates, find the midpoint of two coordinates, identify coordinates of parallel and perpendicular lines.

Proportional Reasoning – Change between standard units of measurement, express one quantity as a fraction of another, simplifying ratio, ratio of an amount, finding a fraction of an amount.

Year 8

Investigating Number Systems – converting between standard form and ordinary numbers, rounding numbers to an appropriate degree of accuracy including decimal places and significant figures

Pattern Sniffing – terms of a sequence, nth term, prime numbers, HCF, LCM, prime factorisation

Solving Calculation Problems – apply four operations to integers, decimals, fractions and numbers in standard form, BIDMAS, substitution, rearranging formula, simplifying algebraic expressions

Exploring Shape – knowledge of alternate and corresponding angles, find all angles in polygons, deduce number of vertices of a polygon

Generalising Arithmetic – apply four operations to integers, decimals and fractions, BIDMAS, apply four operations to algebraic terms, expand and factorise single brackets, laws of indices

Reasoning with Measures – perimeter of 2D shapes including circles and sectors of circle, area of a circles and composite shapes, know and apply formulae to calculate volume of prisms including cylinder

Discovering Equivalence – work with percentages greater than 100, solve problems involving percentage change, reverse percentages and interest, converting fully between FDP

Investigating Statistics – construct scatter graph, stem and leaf diagram and  frequency polygon, interpret correlation, calculate and compare averages and spreads

Solving Number Problems – solving equations with unknowns on both sides, writing and solving equations, solving equations graphically given the graphs

Reasoning with Fractions – calculate with fractions, problems involving probabilities sum to one, Venn diagrams, sample spaces

Shape Properties 2 – measure line segments and angles including maps, scales and bearings, construct angle bisector and perpendicular bisector of a line, loci, plans and elevations

Exploring Change – plot straight line graphs, identify and interpret gradients and intercepts graphically and algebraically, recognise, sketch and interpret graphs of linear and quadratic functions

Proportional Reasoning – best buys, ratio (including real contexts), proportion, enlargements (positive scale factor), use scale factors, diagrams and maps, work with fractions in ratio problems

Useful Websites

ks4-curriculum

Years 9, 10 and 11

How you will be assessed?

  • 100% Examination

Two possible tiers of entry:

Higher Tier (Grades 9 – 4)

Foundation Tier (Grades 5 – 1)

  • Three 1.5 hour papers: one non calculator and two calculator

Useful Websites

ks5

Years 12 and 13

We follow the AQA AS/A2 specification. It enables a variety of teaching and learning styles, and provides opportunities for students to develop their analytical skills, to reason logically, to recognize incorrect reasoning while extending their range of mathematical skills and techniques and use them in more difficult unstructured problems.

The specification connects mathematical techniques with real-life situations and enables students to develop and acquire skills to communicate mathematics effectively in both the world of work and to society in general. As a faculty, we are continuously reviewing and developing ideas to improve attainment and raise the standard of teaching and learning within the A-Level Mathematics course.

Entry Requirements

Students must achieve 5 A*-C grades at GCSE. We are asking for an A on the GCSE Maths course. This is designed to help raise awareness regarding the demand of the course and allows students to make the correct decision for their future.

Overview of Content

AS-Level – Unit 1: Core Pure  Unit 2: Core Pure  Unit 3: Statistics 1

A2-Level – Unit 4:  Core Pure  Unit 5:  Core Pure  Unit 6:  Mechanics 1

Overview of Assessment

The course is assessed in the June examinations.

Students in the AS course will sit written paper exams for Core 1, Core 2 and Statistics 1.

Students in the A2 course will sit written paper exams for Core 3, Core 4 and Mechanics 1.

All assessment units are weighted at 16.7% of an A2 or 33.3% of an AS. The papers for units are 1 hour 30 minutes in duration and are worth 75 marks.

Calculators are allowed in all assessments apart from Pure Core 1. Most models of scientific or graphical calculator are allowed. However, calculators that feature a ‘Computer Algebra System’ (CAS) are not allowed.

Useful Websites