Mathematics

Year 11

Units Covered

Foundation

Fractions, Indices and Standard Form; Congruence, Similarity and Vectors; Algebra; Problem Solving.

Higher

Vectors and Geometric Proof; Proportions and Graphs; Problem Solving.

 Once the course is completed students will begin

Skills developed

Whether eventually taking the Foundation or Higher GCSE examination, students will become fluent in the fundamentals of mathematics, through varied and frequent practice with increasingly complex problems over time. Subsequently students will develop their conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. They will reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language. Students will be given opportunities to show they 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.

How can parents help to support learning?

Ensure that your child comes to school equipped with at least, a pen, pencil, ruler and a scientific calculator. These can be bought from the library using ParentPay.
Encourage the need to complete homework in a timely manner – your child a Sparx Maths task once per week
Encourage the need for revision in order to consolidate the topics taught – your child will have received a Maths revision guide/workbook and can be working through this at home for extra practice.

Useful websites

www.sparxmaths.uk (your child will have their own login for this)

www.corbettmaths.com

www.bbc.com/bitesize

If you have any queries or questions please do not hesitate to contact the head of department, Mr Bush.

SMSC and British Values

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 for financial literacy and most forms of employment. Mathematics 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.

Year 12

Units taught: 

A-Level Mathematics

Pure: Quadratic functions, Coordinate geometry, logarithms, trigonometric functions, Introduction to calculus

Mechanics: Introduction to kinematics, motion with constant acceleration, force and motion

Statistics: Probability, Statistical hypothesis testing

A-Level Further Mathematics

Pure: Complex numbers, Hyperbolic functions, Polar coordinates, Matrices

Mechanics: Work, energy and power, Momentum and collisions, Circular motion

Statistics: Poisson distribution, Chi-squared tests, Continuous distributions, Further hypothesis testing

Level 3 Mathematics Studies (Core Maths)

Estimation

Personal Finance

Data Analysis

Probability

Expectation and Expected Value

Confidence intervals

Year 13

Units taught:

A-Level Mathematics

Pure: Functions, Further transformations of graphs, Sequences and series, Radian measure, Further differentiation, Further integration techniques, Differential equations

Mechanics: Projectiles, Motion with constant acceleration, Forces in context

Statistics: Probability, Statistical hypothesis testing

A-Level Further Mathematics

Pure: Complex numbers, Hyperbolic functions, Polar coordinates, Matrices

Mechanics: Work, energy and power, Momentum and collisions, Circular motion

Statistics: Cumulative distribution functions, Hypothesis testing with t-tests, Confidence intervals

Main Skills Developed (A-Level Mathematics and Further Mathematics)

Mathematics underpins everything we do in modern society. It develops problem solving, reasoning and analytical skills, which lead into applications in the scientific, mechanical and financial worlds. The course prepares you for further study not only in Mathematics and Accountancy, but leads into sciences, Medicine, Business and Economics. We build on the GCSE course and study many new areas including proof, calculus, mechanics and statistics.

Main Skills Developed (Core Maths)

Level 3 Mathematical Studies (Core Maths) is a qualification designed for students who have achieved a grade 4 or above at GCSE.  Core Maths has the same number of UCAS tariff points as an AS level qualification and is studied in a single year at Trinity Academy.

Studying Core Maths helps students develop their quantitative and problem-solving skills. This is valuable preparation for the quantitative skills they will need for many degree courses, particularly subjects such as psychology, geography, business-related courses, sports and social sciences, and natural science courses that do not require AS/A-Level Mathematics.

 How can parents help to support learning?

 Homework is usually set after every lesson so parents can help organising workload and ensuring work is completed in good time. Students are expected to ask staff for help if they unable to complete or need help with finishing homework before the deadline.

Students receive a monthly test on everything taught up to that point in the course. Regularly revising course content will help with these tests.                                                                                                                                                                     

SMSC and British Values

Mathematics

Overview

Year 7

Year 8

Year 9

Year 10

Year 11

Year 12

Year 13