# ALGEBRA AND FUNCTIONS LEVEL 1(AS LEVEL)

### COURSE CONTENT:

In this Algebra and Functions Level 1 course the trainer will cover the following topics:

• Algebra and functions
• Coordinate geometry in the (x,y) plane
• Trigonometry
• Exponentials and logarithms
• Preparing for the new A-level Maths specification will also be addressed.

### LEARNING OBJECTIVES:

By attending this course and covering the topics you should be to achieve the following using a Casio graphic calculator:

Work with quadratic functions and their graphs. Solve linear and quadratic inequalities in a single variable and interpret such inequalities graphically Represent linear and quadratic inequalities graphically. 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 the effect of simple transformations on the graph of y=f(x).

Understand and use the coordinate geometry of the circle including using the equation of a circle in the form (x-a)2 + (y-b)2 = r2.

Understand and use sine, cosine and tangent functions; their graphs symmetries and periodicity. Solve simple trigonometric equations in a given interval, including quadratic equations in sin, cos and tan and equations involving multiples of an unknown angle, including quadratic equations in sin, cos and tan and equations involving multiples of the unknown angle.

Know and use the function ax and its graph, where a is positive. Know and use the function ex and its graph.

### required preparation & equipment

None required. Calculators will be provided for the training course.

### LEVEL

Qualification: AS Level. This course is most suited for professionals teaching AS-level Mathematics in the UK.

Level 1: No previous experience required.