Course information
Mathematics
Harris Federation Post 16 - Croydon
Harris Federation South London Schools, 4th Floor Norfolk House, Croydon, CR0 1LH
Course summary

Term 1 Topic and Content: Bridging the gap This is a week intervention session focused on improving algebra skills from GCSE. It is an opportunity to set expectations and standards for an A Level class. Sequences and Series Working to generate sequences and decipher general expressions of sequences. Also, students will learn mathematical notations some the sum of a series. Finally, students will investigate convergent and divergent sequences and use the modulus function. Data Collection Students will be introduced to the large data set which will be tested on their final exam. Students will be able to understand the different forms and data collection and know the advantages and disadvantages. Data Processing, Presentation and Interpretation Students now will be develop the skills to analyse data collected, through a variety of diagrams. Students will have to know all key features of the diagrams used. Students will be expected to make comments on real world data. Surds and Indices Students will be able to use the laws of indices for all rational components. Students will be manipulating surds as well as rationalising. Quadratic Functions Students will be able to sketch quadratics, highlighting key points. Students will be using the discriminant including real and repeated roots. Students will be able to complete the square with values of a greater than 1 and be able to identity turning points. Graphs and transformations Students will be able to understand and sketch simple polynomials as well as transforming them using function notation. Trigonometry To be able to understand the definitions of sine, cosine and tangent. Using radian measure to calculate area of sectors and arc lengths. Understand the use of the trigonometric functions graphs, symmetries and periodicity. To know the exact values sine, cosine and tangent for 0, 30, 45, 60, 90. Understand basic trigonometric identities. Solving trigonometric equations within a given range. Equations and Inequalities Solving pairs of simultaneous equations including when one is a quadratic. To be able solve inequalities putting the correct range in the set notation. Polynomials Manipulate polynomials algebraically, using factor theorem to simplify. Term 2 Topic and Content: The Binomial Expansion Students will be able to use the binomial expansion 〖(a+bx)〗^n for positive integers of n; the notations n! and n∁r. Probability Students will be able to understand the use of mutually exclusive and independent events when calculating probabilities. Students will be able to use conditional probabilities, including tree and Venn diagrams. The binomial Distribution Students will be able to understand and use the binomial distribution model to calculate probabilities for cumulative and probability distributions. Coordinate Geometry Students will understand the use of the equation of a straight line, including the forms y-y_1=m(x-x_1) and ax+by+c=0. To also know the gradient conditions for perpendicular and parallel lines. Students will be able to use the equation of a circle 〖(x-a)〗^2+〖(y-b)〗^2=r Differentiation Students will understand the use of the derivative of f(x)as the gradient of the tangent to the graph of y = f(x) at a general point. Students will be able to interpret the rate of change; sketching the gradient function for a given curve; second derivatives; differentiating from first principle. Students will be able to apply differentiation to find gradients, tangents and normal, maxima and minim and stationary points. Kinematics Students will be introduced to the language of kinematics: position; displacement; distance travelled; velocity; speed; acceleration. Students will interpret kinematic graphs and derive the constant acceleration formulae. Vectors Students will use vectors in two and three dimensions. Students will be able to calculate the magnitude and direction of a vector and be adept at representing vectors in a variety of forms. Forces and Laws of Motion Students will be able to understand and use Newton’s first, second and third laws.

Entry requirements

Maths grade - 7 Relevant subject - At least a grade 7 at GCSE A minimum of seven grade 5s in full course GCSE subjects.

How you'll be assessed

Year 12 students sit two end of year assessments. Paper 1 consists of Pure and Statistics and Paper 2 Pure and Mechanics. The year 12 exams are all run internally. Year 13 students sit three externally run examinations; Pure and Mechanics, Pure and Statistics and Pure and Comprehension. These examinations usually take place in the month of June and the grading is from A*- U.

School Info

About Education Provider

RegionLondon
Local AuthorityCroydon
Ofsted Rating
Gender TypeMixed
AddressHarris Federation South London Schools, 4th Floor Norfolk House, Croydon, CR0 1LH