A Level Maths 9709 Paper 1 lectures
Pure Mathematics 1. 24 short lectures, one for each part of the syllabus, in the order it is taught. Each one teaches a topic on the board in a few minutes. The teaching part is free to watch; a free account opens the rest of every lecture: worked examples, practice questions and real past-paper questions answered.
Chapter 1.1 Quadratics
Chapter 1.2 Functions
- Composite and inverse functionsThink of a function as a machine: a number goes in, another comes out.7 min
- Describing combined transformations, equations, ranges and inversesTake any graph.7 min
- Reversing transformations, sketching transformed graphs and inversesA picture of a transformed graph carries a code.7 min
Chapter 1.3 Coordinate geometry
Chapter 1.4 Circular measure
Chapter 1.5 Trigonometry
Chapter 1.6 Series
- Arithmetic and geometric progressionsA savings plan adds the same amount each month.5 min
- The binomial expansionTry multiplying out x plus two, to the power ten, by hand.6 min
- Approximating with an expansion, progressions, and coefficients in progressionsTwo ideas from series, joined in Paper 1 questions.6 min
- Linked progressions, progressions in context, trigonometric terms, and sums in a rangeHere are four faces of the same topic.7 min
Chapter 1.7 Differentiation
- Differentiation: standard functions, chain, product and quotient rulesThe speedometer of a car shows how quickly the distance is changing, right now.5 min
- Tangents and normalsZoom in on any smooth curve far enough, and it looks like a straight line.5 min
- Stationary points and the derivative testsAt the top of a hill, you stop going up and have not yet started going down.6 min
- Connected rates of change and small incrementsAir goes into a balloon at a steady rate.6 min
- Maximum and minimum problems, and stationary points with integrationA tank with a fixed amount of metal.6 min
Chapter 1.8 Integration
- Integration: powers of x and the reverse of differentiationA car's speedometer tells you how fast the distance is changing.5 min
- Definite integrals and plane areasHow much land is under a curved road bridge, or how much water in a curved dam?5 min
- Decreasing functions, improper integrals, normals, and volumes of revolutionEverything you know about integration, in the five types that fill the end of Paper 1.7 min
Also for A Level Maths 9709 Paper 1
Which topics come up most in A Level Maths 9709 Paper 1 past papers, counted from every paper since 2004.