This chapter explores rotating shapes. Itcovers rotating shapes around a coordinat grid, and describing rotations using angles and centres of rotations. Introduction We shall look at transforming shapes around a grid using rotation. Below...
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...
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...
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...
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...
This chapter explores implicit differentiation. The chapter covers differentiating a function defined implicitly; Finding equations of tangents and normals to curves defined implicitly. Before attempting this chapter you must have prior knowledge of basic...
This article explores rearranging much complex equations than the previous article. Prior knowledge of what is covered in the previous article is essential. Rearranging 5x + a = 3x + b Example: Rearrange the...
This chapter explores special triangles and identities. It covers identities and finding exact values of sine, cosine, and tangent of common angles. Before attempting this chapter you must have prior knowledge of basic trigonometry...
This chapter explores integration by parts twice. The chapter covers using the method of integration by parts twice to integrate much more complex functions, and using standard trigonometric integrals in integration by parts. Before...
This chapter explores partial fractions. The objectives for this chapter are to be able to express a fraction with linear fractions in the denominator as partial fractions and expressing a fraction with repeated linear...
