This PowerPoint is a series of lessons (120 slides), aimed at preparing students for the WJEC Additional Mathematics qualification. This resource covers: • Quadratics • Algebraic fractions • Surds • Indices • Completing the square • The Factor and Remainder Theorems • Simultaneous equations • Proof These are examples, practise questions and examination level questions.

This slideshow is 26 slides long and is on Vectors (without any focus on the Mechanics side), it can be used to teach your students, from scratch, and covers a series of lessons containing examples, exercise questions, helpful facts and notes designed to help students learn more independently. This resource could be used by teachers or by students and is written to prepare students to sit WJEC exams but the skills are applicable to all exam boards. The topics covered are Introduction to vectors and notation Finding the magnitude and direction of a vector Finding a unit vector parallel to a given vector Finding resultant vectors, multiplying vectors by scalars and understanding position vectors Finding the position vector of a point that splits a line in a given ratio Finding the angle between a vector and the x or y axis

This slideshow is 41 slides long and is on Exponentials and Logarithms, it can be used to teach your students, from scratch, and covers a series of lessons containing examples, exercise questions, helpful facts and notes designed to help students learn more independently. This resource could be used by teachers or by students and is written to prepare students to sit WJEC exams but the skills are applicable to all exam boards. The topics covered are Introduction to logarithms Laws of logarithms Simplifying expressions involving logarithms Solving equations involving logarithms Solving equations using logarithms Graphs of exponential and logarithmic functions

This slideshow is 25 slides long and is on the Coordinate geometry, straight lines, it can be used to teach your students, from scratch, and covers a series of lessons containing examples, exercise questions, helpful facts and notes designed to help students learn more independently. This resource could be used by teachers or by students and is written to prepare students to sit WJEC exams but the skills are applicable to all exam boards. This PPT covers Gradient of a straight line, proving whether lines are parallel or perpendicular. Intersection 2 lines. Midpoint of two points and finding the point that splits a line in a given ration. Length of a line segment and finding a point whose distance from a pair of points is in a given ratio. Solve simple geometrical problems, involving areas and angles.

This slideshow is 26 slides long and is on the Coordinate geometry, circles, it can be used to teach your students, from scratch, and covers a series of lessons containing examples, exercise questions, helpful facts and notes designed to help students learn more independently. This resource could be used by teachers or by students and is written to prepare students to sit WJEC exams but the skills are applicable to all exam boards. The topics covered are Where the equation of a circle comes from. Finding the equation of a circle. Tangents and normals to circles. Intersections between lines and circles and between two circles. Solving simple geometric problems

This slideshow is 47 slides long and is on Quadratic functions, it can be used to teach your students, from scratch, and covers a series of lessons containing examples, exercise questions, helpful facts and notes designed to help students learn more independently. This resource could be used by teachers or by students and is written to prepare students to sit WJEC exams but the skills are applicable to all exam boards. The topics covered are Expand double (and triple) brackets. Factorise. Solve (by factorising and using the formula). Complete the square. Sketch (including roots and max/min points). Discriminant. Set and interval notation. Linear and quadratic inequalities. Solving paris of equations simultaneously (2 lines & one linear and one quadratic).

This slideshow is 28 slides long and is on Polynomials, it can be used to teach your students, from scratch, and covers a series of lessons containing examples, exercise questions, helpful facts and notes designed to help students learn more independently. This resource could be used by teachers or by students and is written to prepare students to sit WJEC exams but the skills are applicable to all exam boards. The topics covered are Long division Function notation Factor and Remainder Theorems Factorising and solving cubic equations Simple problems, including geometric problems, involving polynomials

This slideshow is 32 slides long and is on Trigonometry, it can be used to teach your students, from scratch, and covers a series of lessons containing examples, exercise questions, helpful facts and notes designed to help students learn more independently. This resource could be used by teachers or by students and is written to prepare students to sit WJEC exams but the skills are applicable to all exam boards. The topics covered are Graphs and their properties Solving simple equations Trigonometry identities Solving equations using the identities The sine and cosine rules Proving identities Exam style questions

This slideshow is 20 slides long and is on Surds, it can be used to teach your students, from scratch, and covers a series of lessons containing examples, exercise questions, helpful facts and notes designed to help students learn more independently. This resource could be used by teachers or by students and is written to prepare students to sit WJEC exams but the skills are applicable to all exam boards. The topics covered are Laws of surds Simplifying surds Rationalising the denominator Exam style questions

This slideshow is 25 slides long and is on the Binomial Theorem, it can be used to teach your students, from scratch, and covers a series (pardon the pun) of lessons containing examples, exercise questions, helpful facts and notes designed to help students learn more independently. This resource could be used by teachers or by students and is written to prepare students to sit WJEC exams but the skills are applicable to all exam boards.

This slideshow is 80 slides long and is on the Differentiation, it can be used to teach your students, from scratch, and covers a series of lessons containing examples, exercise questions, helpful facts and notes designed to help students learn more independently. This resource could be used by teachers or by students and is written to prepare students to sit WJEC exams but the skills are applicable to all exam boards. The topics covered are Differentiation from 1st principles for since/cosine Differentiating exponentials, logarithms, trigonometric functions and more complicated polynomials Chain, product and quotient rules Proving the derivatives of the reciprocal trigonometric functions and inverse trigonometric functions Differentiating functions defined parametically and implicitly Problems involving parametric and implicit functions Concavity and points of inflection Connected rates of change

This slideshow is 49 slides long and is on the Differentiation, it can be used to teach your students, from scratch, and covers a series of lessons containing examples, exercise questions, helpful facts and notes designed to help students learn more independently. This resource could be used by teachers or by students and is written to prepare students to sit WJEC exams but the skills are applicable to all exam boards. The topics covered are Differentiation from 1st principles Differentiating polynomials Finding equations of tangents and normals to curves Higher order derivatives Classifying stationary points

This slideshow is 32 slides long and is on Integration, it can be used to teach your students, from scratch, and covers a series of lessons containing examples, exercise questions, helpful facts and notes designed to help students learn more independently. This resource could be used by teachers or by students and is written to prepare students to sit WJEC exams but the skills are applicable to all exam boards. The topics covered are Integrating polynomials Fundamental theorem of calculus Definite integration General/particular solutions to equations Integrating more than once Applications of integration - kinematics Area under a curve Area between a line and a curve

Some activities that can be used with the majority of KS3/KS4 of all abilities looking at different facts and figures to do with past and future Olympics. All to do with analysing, representing and interpreting data as well as making predictions. Any feedback on how to improve or develop the resource would be very welcome as well saying which parts worked/did not work for you.