A presentation introducing students to the concept of upper and lower bounds. Includes worked examples, problem solving questions and differentiated practice questions.

A starter on circle theorems. All you need to do is print out the sheets (single sided) and cut up each line / where there is a “|” indicating an additional cut. Give a pack to pairs of students and ask them to rearrange the parts of the sentences to make the circle theorem statements. A great way to help students get the statements in their heads!

An introductory presentation to indices for Core 2 A level mathematics. Includes a recap of what they should know already, the 4 main log laws with worked examples, and some questions to test themselves.

A presentation introducing the second derivative. Includes examples (with solutions) and applications.

A presentation introducing increasing and decreasing functions and stationary points. Includes examples.

A presentation introducing the concept of algebraic proof with worked examples. Includes lots of practice questions and a sheet of examples from simple to really quite complicated.

A presentation recapping negative and fractional indices and introducing solving equations with negative and fractional indices. Lots of example questions WITH ANSWERS!

A presentation demonstrating how to solve trig equations and deriving and using trig identities (s/c=t and c2+s2=1). I used this with a Y11 Level 2 Further Maths group but it would be great for Y12 too.

Two presentations demonstrating the different methods of solving simultaneous equations, including graphically.

A presentation about solving more complicated quadratic equations and some of the more unusual methods.

A differentiation worksheet I created for my Y11 Level 2 Further Maths group but it would work great for Y12 too. Includes differentiation of basic functions, finding the gradient of the curve at specific points, finding stationary points, problem solving, finding where functions are increasing and decreasing.

A presentation introducing changing the subject of a formula at an advanced level. I used this with a Y11 Level 2 Further Maths group but it would be great for Y12 too. Includes presentation, practice questions and a challenge at the end (deriving the quadratic formula - something I didn’t do until I got to university but my Y11’s did great!)

Quick introductory presentation about using algebraic manipulation to add algebraic fractions and solve complicated equations.

A presentation and worksheet introducing matrix transformations of points. The worksheet is particularly useful as it will help students in future to help identify the relationship between the matrix and the geometrical transformation. I used this with Y11 Level 2 Further Maths students but would be great for Y12 too.

A bit of a mash-up lesson revising Surds, Rationalising the Denominator, Expanding Brackets, Factorisation and Difference of 2 Squares and includes advanced practice questions on all of the above (up to A* GCSE level). I used this with a Y11 group who had completed the GCSE syllabus but were taking Level 2 Further Maths and it worked great as in introduction to concepts they had seen before but taken to the most advanced level. Lots of practice questions included.

An introductory lesson to the concept of differentiation, using tangents to curves to demonstrate (via the contextual representation of rate of change). I used this with a top set Y11 group who were studing for Level 2 Further Maths however it would also work great for a new Y12 group. Includes a presentation, practice questions and exercises.

A worksheet for students to practice rounding to estimate (decimal places & significant figures). Includes a helpful guide, practice questions and a problem solving question. A great in-lesson worksheet or homework activity.

A presentation with interactive activities on averages from grouped frequency tables. Also includes an extension worksheet on interpreting data from grouped frequency tables.

An activity where students must decide which graph is best to represent different types of data (comparing bar graphs, line graphs and pie charts). A great opportunity to help students get into the habit of justifying their answers with mathematical reasoning.

A lesson to recap how to convert between different units, includes units of area and how we must square the conversion factor, and some problem solving questions.