St. Joseph's Catholic College

## Mathematics

St. Joseph's Catholic College teaches Mathematics to all students from Year 7 to Year 11, and Further Mathematics to a small number of Year 11s.

The primary aim of the Mathematics department is to develop the mathematical knowledge, skills, concepts and strategies of every pupil to the maximum possible level.  This includes providing the students with the mathematics they need for everyday life and for other school subjects, and to provide, where appropriate, a foundation for further study. Students will be made aware of methods of investigation and given an insight into the development of mathematics and the power of mathematics as a language. This is an essential development in the analysis and communication of information and ideas.

More generally, the department aims to contribute to the development of the students' personal qualities of curiosity, cooperation, self-expression, self-evaluation and aesthetic appreciation. students should be able to work independently and cooperatively, and to experience the enjoyment and satisfaction which results from achieving success in mathematics.

The College follows the National Curriculum, which splits KS3 and KS4 Mathematics into number, algebra, ratio, proportion and rates of change, geometry and measures, probability and statistics.

Course Outlines

KS3

Mathematics is taught as part of a spiralling curriculum, where students will revisit and extend topics throughout the year. All students will be taught through a variety of learning styles within these various modules, supporting the use of mental and written methods of calculation. Reasoning and problem solving mathematics will form part of each unit and students will be encouraged to also learn how to use a calculator and ICT appropriately. Students will be grouped appropriately to support their learning. Regular assessments of students' progress will take place and allow for easy movement between groups.

In each year students will study the following modules:

Numbers and the number system
Counting and comparing
Checking, approximating and estimating
Calculating
Visualising and constructing
Investigating properties of shapes
Exploring fractions, decimals and percentages
Algebraic proficiency:  using formulae
Proportional reasoning
Pattern sniffing
Measuring space
Investigating angles
Solving equations and inequalities
Calculating space
Mathematical movement
Presentation and measuring data

KS4

GCSE Mathematics is now following  the new AQA spcification (first teaching from 2015), with grades 9 - 1 being awarded.  It is now assessed through three 90 minute terminal examination papers;  the first is a non-calculator paper and the second and third are calculator papers.  Candidates can be entered for either foundation or higher tier.  For students who find Mathematics challenging, there is also an Entry Level Certificate which can be completed during Year 11, alongside studying for the GCSE.  This is internally assessed.

GCSE Mathematics

Mathematics is a creative and highly interconnected 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 for financial literacy and most forms of employment. A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject.

Mathematics is an interconnected subject in which students need to be able to move fluently between representations of mathematical ideas. The programme of study for key stage 4 is organised into apparently distinct domains, but pupils should develop and consolidate connections across mathematical ideas. They should build on learning from key stage 3 to further develop fluency, mathematical reasoning and competence in solving increasingly sophisticated problems. Students should also apply their mathematical knowledge wherever relevant in other subjects and in financial contexts.

In each year students will study the following modules;

Year 10

Basic number
Factors and multiples
Basic algebra, basic fractions and decimals
Coordinates and linear graphs
Rounding angles and bearing
Collecting and representation of data
Percentages
Perimeter and area
Circumference and area
Real life graphs
Indices and surds
Properties of polygons
Standard form
Basic probability
Transformations
Congruency and similarity
Calculating with percentages
Statistical measures
Constructions and loci

Year 11

Probability
Volume
Algebra
Scatter graphs
Numerical method
Equations of a circle
Further equations and graphs
Simultaneous equations
Sketching graphs
Direct and inverse proportion
Inequalities
Pythagoras and trigonometry
Growth and decay
Vectors
Transforming functions
Sine and cosine rules
Circle theorems