This is an 11 slide PowerPoint that covers BTec National Engineering (A-Level equivalent) on the topic of Mensuration (Volume and Surface Area of Shapes). It covers cuboids, spheres, cylinders, prisms and cones as well as composite shapes made from these. This is the eleventh PowerPoint in this section (Mathematical methods).

This is a 13 slide PowerPoint that covers the topics of Vectors and Phasors. It covers an introduction to vectors, resolving vectors into components (using trigonometry), finding the sum of vectors in 2 dimensions (using trigonometry and Pythagoras’ theorem), introduction to phasors and the sinusoidal formula including phase-difference. A knowledge of trigonometry (see previous lessons in this series) is needed.

This is a 13 slide PowerPoint that covers BTec National Engineering (A-Level equivalent) on the topics of Vectors and Phasors. It covers an introduction to vectors, resolving vectors into components (using trigonometry), finding the sum of vectors in 2 dimensions (using trigonometry and Pythagoras’ theorem), introduction to phasors and the sinusoidal formula including phase-difference. A knowledge of trigonometry (see previous lessons in this series) is needed. This is the tenth PowerPoint in this section (Mathematical methods).

This is an 11 slide PowerPoint that the topic of Trigonometry and Triangles. It covers the use of the trigonometric functions applied to right-angled triangles, Pythagoras’ theorem, and the Sine and Cosine rules applied to any triangle. There is a worksheet and answers to the worksheet are included.

This is an 11 slide PowerPoint that covers BTec National Engineering (A-Level equivalent) on the topic of Trigonometry and Triangles. It covers the use of the trigonometric functions applied to right-angled triangles, Pythagoras’ theorem, and the Sine and Cosine rules applied to any triangle. There is a worksheet and answers to the worksheet are included. This is the ninth PowerPoint in this section (Mathematical methods).

This is an 8 slide PowerPoint that coversthe topic of circular measurements including: converting degrees to radians, derivation of radians as a unit, calculating area or circles and sectors, calculating circumference and arc lengths. There is a worksheet and answers to the worksheet are included.

This is an 8 slide PowerPoint that covers BTec National Engineering (A-Level equivalent) on the topic of circular measurements including: converting degrees to radians, derivation of radians as a unit, calculating area or circles and sectors, calculating circumference and arc lengths. There is a worksheet and answers to the worksheet are included. This is the eighth PowerPoint in this section (Mathematical methods).

This is a 12 slide powerpoint that shows how to solve quadratic equations step-by-step using factorisation methods and completing the square. The derivation of the universal formula is also shown, step-by-step, and could be used to extend the lesson to complex number solutions although this isn’t covered in the lesson. There is also a Worksheet and the answers have been included.

This is a 12 slide PowerPoint that covers BTec National Engineering (A-Level equivalent) on the topic of quadratic equations and the methods of solution including factorisation, completing the square and the universal formula. There is a worksheet and answers to the worksheet are included. This is the seventh PowerPoint in this section (Mathematical methods).

This is a 9 slide PowerPoint that covers BTec National Engineering (A-Level equivalent) on the topic of Cartesian coordinates and graphs. This lesson covers plotting linear graphs and quadratic graphs, and then using the graph to find the roots of the quadratic. There is a worksheet and answers to the worksheet. This is the sixth PowerPoint in this section (Mathematical methods).

This is an 11 slide PowerPoint that covers BTec National Engineering (A-Level equivalent) on the topic of simultaneous equations. This lesson covers three methods of finding solutions, complete with step-by-step examples of substitution, elimination, and graphical methods. There is a worksheet included and answers for the questions. This is the fifth PowerPoint in this section (Mathematical methods).

This is an 9 slide PowerPoint that covers BTec National Engineering (A-Level equivalent) on the topic ofLinear Equations. This lesson covers converting equations (formulae) into the form y = mx + c and how these are then compared and how they would appear graphically. There is a worksheet and answers included. This is the forth PowerPoint in this section (Mathematical methods).

This is an 11 slide PowerPoint that covers BTec National Engineering (A-Level equivalent) on the topic of Natural Logarithms. This lesson covers the basic rules for Natural Logarithms (powers) in algebra. There is a worksheet included and answers for the questions. This is the third PowerPoint in this section (Mathematical methods) and it is recommended that you have covered basic logarithms before this lesson (lesson two in this series).

This is a 17 slide PowerPoint that covers BTec National Engineering (A-Level equivalent) on the topic of logarithms. This lesson covers the basic rules for logarithms in algebra and their uses in Engineering and Physics. There is a worksheet included and answers for the questions. This is the second PowerPoint in this section (Mathematical methods). v1.1 - Worksheet made slightly easier and removed natural logs questions, replaced with log base 10.

This is an 11 slide PowerPoint that covers BTec National Engineering (A-Level equivalent) on the topic of indices. This lesson covers the basic rules for indices (powers) in algebra. There is a worksheet included and answers for the questions. This is the first PowerPoint in this section (Mathematical methods).

iGCSE - Total Internal Reflection This lesson covers the refraction of light and the calculation of refractive index as applied to the phenomenon of total internal reflection. This lesson also demonstrates the experiment that can be performed, step-by-step with animation.

iGCSE - Acceleration calculations and graph interpretation This lesson covers the basic calculation of acceleration, and then uses graphs to show calculations using gradients as well as the area under the graph using composite triangles and rectangles. The worksheet is a two page questions sheet (with answer sheet supplied) that goes over the main points covered in the lesson

iGCSE - Refraction of light and refractive index This lesson covers the refraction of light and the calculation of refractive index when passing from air into transparent materials. This lesson also demonstrates the experiment that can be performed, step-by-step with animation. There are also two examples of light entering and exiting other shapes (prism and edge of a square) which can cause pupils issues in exams.

iGCSE - Reflection of light This lesson covers the basics of reflected light, honing in on exam points including the normal and the angles of incidence and reflection. The experiment for reflection of light and a ray box is included, as well as description of specular and diffuse reflections and how to draw diagrams with multiple reflections from surfaces.