Key Stage 4 Mathematics

Mathematics: GCSE Year 10/11

Overview:

Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary in most forms of employment. A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason mathematically, and a sense of enjoyment and curiosity about the subject. In this course students will study Number, Algebra, Data Handling and Shape, Space and Measure.

Course Details:

Edexcel Linear Mathematics – Code 1MAO

This will be examined in two papers at the end of year 11; one non-calculator and one calculator paper. All topics could be covered in each exam.

 

Term by Term:

(Year 10) Term

Content

Autumn 1

        Number: Integers, Decimals, Factors, Multiples, Primes, Fractions, Percentages, Ratio, Proportion
Shape, space and Measures: Area, Perimeter, Surface area, Volume

Autumn 2

        Shape, Space and Measure: Volume
Algebra: Introduction to Algebra, Algebraic expressions, Linear equations
Geometry: Pythagoras, Properties of Triangles and Quadrilaterals, Angles in polygons, Loci and Construction, Transformations

Spring 1

        Data Handling: Averages, Frequency diagrams, Questionnaires, Data handling cycle
Algebra: Distance time graphs
Data Handling: Representing data, Probability of an event

Spring 2

        Data handling: Probability
Algebra: Sequences, Graphs and their equations, Inequalities and regions

 

 

Summer 1

        Number: Use of a calculator
Geometry: Volume and surface area of pyramids, cones and spheres, Trigonometry, Properties of circles, Circle Theorems

Summer 2

        Number: Powers, Standard Form, Surds
Algebra: Expanding brackets, Factorising quadratics, Solving quadratics

(Year 11) Term

Content

Autumn 1

        Shape, Space and Measure: Similarity, Trigonometry 2
Algebra: Graphs and their equations, Parallel and Perpendicular lines

Autumn 2

        Data handling: Box plots, Histograms, Probability,
Algebra: Rearranging formulae, Simultaneous equations,
Number: Direct and inverse proportion,  Bounds

 

 

Spring 1

        Geometry: Vectors
Algebra: Transformations of graphs

Spring 2

        Recap of all key Topics

 

 

Summer 1

        Exam Preparation

What students should know, understand and be able to do by the end of Year 11:

By the end of the course, students should be able to;

·       become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils have conceptual understanding and are able to recall and apply their knowledge rapidly and accurately to problems

·       reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language

·       can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.

 

 

Useful Resources/Reading List:

MyMaths (login:tas  Password: algebra)

Richard Parsons:         GCSE Maths    CGPbook

BBC Bitesize

Maths Watch CD’s (available from maths department)

Make the grAde presentation from parents' evening

Sam Learning