Intersecting Lines and Curves 1
This section explores intersecting lines and curves. This is the first part of this chapter. It covers finding the intersection of a line and a curve using algebraic methods. It will be useful to...
Tagged: Alevel Core 1
Sketching polynomials
This chapter explores sketching polynomials. It covers general shapes of quadratics, cubics and identifying the maximum number of turning points, roots and intercepts, and linking to factorised forms for example f(x) = (x-a)(x-b)(x-c). Before...
Differentiation Particular Solutions
This chapter explores particular solutions to differential equations. The chapter covers finding the particular solution to a first order differential equations by suing given conditions. Before attempting this chapter you must have prior knowledge...
Sketching Quadratic Graphs 1
This chapter explores sketching quadratics. This is the first part. It covers sketching quadratics of the form f(x) = x2 + bx + c, sketching quadratics of the form f(x) = (x + p)2...
Equation of a line 2
This is the second part for the equation of a line chapter. This covers understanding that a line can be described using an equation, understanding how gradient and intercept affect a line, sketching lines...
Quadratic Inequalities
This chapter explores quadratic inequalities. The chapter insures that you gain knowledge that quadratic inequalities have two limits and solving quadratic inequalities by inspecting the graph. Before attempting this chapter you must have prior...
Expanding brackets
This section explores expanding brackets. It covers multiplying a bracket by a single term, and multiplying pairs of pairs of different brackets. In this article we shall first look at some examples of expanding...
Transforming graphs
This chapter explores graphs transformation. It covers effects which occur when the graphs of f(x) is transformed such as y=af(x), y=f(x)+a, y=f(x+a) and y=f(ax). You must have prior knowledge of basic shapes of graphics...
Quadratic Sequences
This article explores quadratic sequences. We shall explore how to find the nth term of a quadratic sequence and workout the terms in a sequence given the nth term. Baisc knowledge of sequences will...
Cancelling Fractions
This article explores how cancelling fractions work in mathematics. Cancelling fractions is an important skill in mathematics. In this article we shall be looking at how to simplify fractions by cancelling the common factors...