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.
COURSE AREA LEAD
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
Sequences and series
Exponentials and logarithms
Quantities and units in mechanics
Forces and Newton’s law
Data presentation and interpretation
Statistical hypothesis testing
WHAT SKILLS WILL YOU DEVELOP?
Solve simultaneous equations in two variables by elimination and by substitution
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
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 accuracy
Understand 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