Exponential growth and decay, first order differential equations

A first year A-level matching activity, introducing cubics by matching cubic curves with their equation in factorised form and their equation in expanded form. You could add in a few quadratics for revision or a few quartics for extension

Addition, subtraction and multiplication of matrices

Two linear factors in denominator only. Be alert to students 'cheating' at this puzzle by simply matching the brackets in the denominator with those in the solutions. (One strategy I've used is to change one number in one solution so there is a deliberate mistake, and say that the students have to find this as well as complete the puzzle. But simply insisting they write down their working out works as well!)

Integration by parts, by substitution and by recognition

Jigsaw puzzle converting between cartesian and polar coordinates. A bit dull really but it does the trick as an introduction to polar coordinates!

One example of each of the two main approaches to transformations of the complex plane, followed by one scaffolded question of each type

Deduction, contradiction, counter-example

Jigsaw puzzle matching up different forms of vector equations of both lines and planes

Binomial and Poisson

Normal Curve and Normal Distribution

Two short worksheets of questions, one easier than the other. Both have brief solutions

Trigonometry. Introduction worksheet. Using transformations of sin x and cos x graphs to find maximums and minimums of trig expressions in alternative form

Short Exercise with brief solutions

Deriving formula, examples

Coefficient of friction, limiting equilibrium

Graphs of ellipses, parabolas, hyperbolas including transformations

Shortest paths including directed networks

Linear Interpolation, Interval Bisection, Euler's Method, Newton-Raphson Method

Forming and solving differential equations in Mechanics