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, coordinate 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 attend the popular Scary Maths classes that take place at lunchtime. 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, Science, 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 substitution ● Problem-Solving ● Teamwork ● Manipulate polynomials algebraically, including expanding brackets and collecting like terms, factorization 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 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 ● Decision Making ● Time Management ● Develop Resilience