## About this course

This course is ideal for learners who have a strong interest in working with numbers and problem solving. The course covers topics such as indices, surds, polynomials, co-ordinate geometry and graphs, differentiation and integration, quadratic theory, trigonometry, sequences and series algebra, numerical methods, differential equations, vectors, force as a vector, equilibrium of a particle, kinematics and many more.

There is the opportunity to take part in a national Mathematics competition as well as attending the popular Scary Maths classes that take place at lunchtime.

## КЕРІВНИК СФЕРИ КУРСІВ

James Brough

## Who is this aimed at?

This course is aimed at students who:

Have an interest in and enthusiasm for Mathematics

Enjoy problem-solving and developing ideas in a mathematical context

Enjoy relating Mathematics to real life situations, in particular, how mathematical models can be used to simulate these situations

Would like to progress in any career which involves Mathematics, such as Engineering, Sciences, Accountancy, Finance

## What will you learn?

Algebra and functions

Coordinate geometry

Sequences and series

Trigonometry

Exponentials and logarithms

Differentiation

Integration

Vectors

Quantities and units in mechanics

Kinematics

Forces and Newton’s law

Statistical sampling

Data presentation and interpretation

Probability

Statistical distributions

Statistical hypothesis testing

## What skills will you develop?

Solve simultaneous equations in two variables by elimination and by substitution

Problem Solving

Teamwork

Manipulate polynomials algebraically, including expanding brackets and collecting like terms, factorisation and simple algebraic division; use of the factor theorem

Understand and use graphs of functions; sketch curves defined by simple equations including polynomials

Interpret algebraic solution of equations graphically; use intersection points of graphs to solve equations

Understand, use and interpret graphs in kinematics for motion in a straight line: displacement against time and interpretation of gradient

Communication

Understand the concept of a force; understand and use Newton’s first law.

Understand and use Newton’s second law for motion in a straight line

Understand and use weight and motion in a straight line under gravity; gravitational acceleration,

*g*, and its value in S.I. units to varying degrees of accuracyUnderstand and use Newton’s third law; equilibrium of forces on a particle and motion in a straight line

Conduct a statistical hypothesis test for the proportion in the binomial distribution and interpret the results in context

Decision Making

Time Management

Develop Resilience

## Professional development

Accountant

Finance

Business Analyst

Research Scientist

Statistician

Logistics

Maths Teacher

Director

Manager

Engineer

Computer programmer

Actuary