IGCSE Maths - Quadratics (Notes). Exploring the effect(s) of each coefficient on the shape of the parabola; use the Geogebra link to explore for yourself. Finding the coordinates for the turning point. Factorising a quadratic expression by inspection, completing the square, using the quadratic equation to obtain the roots. The discriminant of the quadratic equation and imaginary roots. (22 pages, 10 diagrams & 35 examples.)

IGCSE Radioactivity, animated powerpoint. Unstable nuclei, alpha/beta/gamma decay, decay equations, half-life, Ba-137m experiment, radioisotope uses, ionisation smoke detector, carbon-dating, background radiation, harmful effects of radiation, safety precautions. 34 slides.

IGCSE Force & Pressure, animated powerpoint. Force and pressure in a solid, liquid and a gas. ‘Head’ of pressure, and transmission of pressure by a fluid. Measuring pressure with a barometer and a manometer. Boyle’s Law and scuba diving. 22 slides.

CAIE A2 9709 Maths Integration I. Animated powerpoint. Integration as area, basic rules (incl. 6 trig), numerical integration, reverse chain rule (substitution). 16 slides.

IGCSE Physics - Waves Introduction, covering the classification and descriptive terms for waves. Introducing transverse waves (waves on a string, light waves), longitudinal waves (sound waves) and rotary waves (ocean waves). Introducing the wave speed formula, standing waves, wave interference, the rules for reflection and refraction, diffraction and the Doppler effect. (16 slides.)

IGCSE Physics - Line of Force and Motion. Animated powerpoint, introducing torque/moment, the lever, centre of mass and centre of gravity, Fosbury flop, Earth-Moon barycentre, conditions for equilibrium, balance and stability, tipping angle, boat buoyancy, car rolling and pitching, fork-lift trucks and cranes ! 33 slides.

IGCSE Solar System animated powerpoint. Distinguishing between the terrestrials, asteroids, gas giants, ice giants, comets and meteoroids. Planetary orbital data. Mass and radius vs gravitational field strength. Gravitational force and orbital speed. 22 slides.

Indices and Logarithms to IGCSE level, covering the basic rules. Animated powerpoint. 13 slides.

IGCSE Introduction to Calculus animated powerpoint. The gradient ratio as rise-over-run and the limit for a tangent to a curve as the ‘derivative’. Examples of the limit/derivative for straight line, a parabola and a cubic. The use of the derivative to find ‘turning points’, and the distinction between a local maximum and a local minimum. 15 slides.

Factors, Prime Factors, HCF & LCM animated powerpoint. Defining factors and prime factors. Finding prime factors using divisibility rules and using a Venn diagram to find the highest common factor and lowest common multiple of a pair and a triplet of numbers. Finding prime numbers up to 100 in under 10 seconds. (6 slides.)

Summary of the Hubble Expansion and the Hubble-Lamaitre Law of linear proportionality between recessional velocity and distance. The predicted collision between the Andromeda and Milky Way galaxies. The predicted timetable for the Sun’s transition to red and white dwarf status and impact for Earth. 2 sides.

IGCSE Atomic Structure, animated powerpoint. Electrons, protons & neutrons. Introducing Isotopes, Atomic weight, the Billiard Ball model, the Plum pudding model, the Gold Foil experiments, the Nuclear model, the Electron Shell model & electron configuration. 22 slides.

CAIE A2 9709 Maths Differentiation animated powerpoint. Product and Quotient rules, Ln and exponentials, the 6 Trig derivatives, Explicit and Parametric differentiation. 18 slides.

CAIE A2 9709 Trigonometry animated powerpoint. Covering compound angle formulae, double angle formulae, and the conversion into polar form. Incl examples, 10 + 8 slides.

CAIE AS 9709 Maths Trigonometry animated powerpoint with Geogebra add-ins. Values and patterns of the trig functions, rules and transformations. Radian. 19 slides. Explore all three main functions using the GeoGebra add-ins, including mapping the functions to rotation around the unit circle, transforming the functions by adjusting all four coefficients, and wrapping a radius (multiple) around a circle to see how the radian is defined.

CAIE A2 9709 Maths Numerical Solution of Equations animated powerpoint. Interval estimation, change of sign, point-and-gradient, fixed point iteration. 21 slides.

The Chernobyl nuclear powerplant disaster of April 1986. Reactor construction & design, and control rod flaws. The planned power-down & start of the test, the power-down overshoot and xenon poisoning that led to the power surge and explosion. The alarm bells in Europe. The fall-out, site containment, mass evacuation, prevention of a possible follow-on corium meltdown event, and clean-up operation by the ‘liquidators’. The 1986 ‘sarcophogus’ and the 2010 ‘new safe confinement’ arch. 12 pages (incl. 5 maps, 6 schematic diagrams, 10 contemporary and 5 other photos).

IGCSE Trigonometry animated powerpoint. Reviewing angle and triangle basics including the Pythagoras theorem in two and three dimensions. Defining the sine, cosine and tangent functions, using them to find side-lengths and angles. Deriving the sine and cosine rules and using them to find distances and bearings on maps. Exploring the shape of the sine, cosine and tangent functions. (17 slides.)

(I)GCSE Newton’s Laws of Motion animated powerpoint. Starting with inertia, through momentum and impulse, Newton’s Laws of Motion are introduced, with 5 worked examples. 10 slides.

IGCSE Physics - Electromagnetism. Electrons in motion create magnetic fields, with a relationship between current and field directions given by the ‘corkscrew’ rule. Introducing solenoid electromagnets. Basics of d.c. electric motors and Fleming’s Left Hand (motor) rule for the FBI directions (force (F), field (B) and current (I)). Basics of electric generators and Fleming’s Right Hand (generator) rule.