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 a lesson plan and PowerPoint explaining how to perform the required practical on Density. This is the third lesson in the Particle Model unit of work (P3). The lesson covers the calculation of the volume of cuboids, recaps the conversion of units and calculation of density and then describes the methods needed to calculate the density of regular and irregular shapes. The lesson plan is step by step including extension ideas and the learning objectives linked directly to the syllabus v1.1 - Picture of a Eureka-can added to slide to assist understanding of alternative procedure v1.2 - Some minor editing to slides to improve comprehension

This is the first of three lessons that introduce the idea of logarithms The PowerPoint takes students through the difficulties in graphing data of wide ranging numbers and then, using the E-M spectrum and H-R diagrams, shows how log-log graphs can be used to display this data. This is part of the essential mathematics skills needed for A-Level Physics

This is a 17 slide PowerPoint and a worksheet of questions that covers BTec National Engineering (A-Level equivalent) on the topic of Rotational Motion. This is the fifth PowerPoint in this section which covers an introduction to circular mathematics and applies this to rotational engineering. This includes Angular Displacement, Radians, Angular Velocity, Angular Displacement, Tangential Velcoity, Centripetal Acceleration, and Torque.

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 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 the second of three lessons that introduce the idea of logarithms The PowerPoint takes students through the difficulties in solving algebra with unknown powers and cumulative interest. The general simple rules of addition and subtraction of logarithms is discussed. This is part of the essential mathematics skills needed for A-Level Physics

This is a lesson that explains basic differentiation leading onto a proof of Euler's number and the use of this in creating exponential decay formulae. This PowerPoint is designed to take you step by step through the derivation of the formulae used in Physics for the decay of isotopes or other exponential experiments.

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 an 15 slide PowerPoint that covers BTec National Engineering (A-Level equivalent) on the topic of combining sinusoidal waveforms. This lessons starts with a graphical representation of waveforms for AC voltage, and shows how a resultant wave is formed from two sinusoidal waveforms. This is then extended to a graphical solution method, using vectors for phasors, and then a mathematical method using the cosine and sine rules to add two wave equations together. This is the second PowerPoint in this section (Single phase alternating current). v1.01 (Dec 2021 ) - Minor improvements

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).

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 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 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 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).