This document is a revision booklet I put together for my students over the years. It contains worked examples and notes describing how certain problems are solved.

This lesson is used to introduce students, through worked example, to the topic of proof by induction.

This lesson demonstrates to students natural logs can be used with more complex differentiation.

This is a second lesson on this topic. This method approaches the topic using f(x) and f(x+h). The worksheet can be given to the students in the form “y = " or as " f(x) =”, depending on the exam board used.

This lesson looks at the mapping of one plane (z) into another plane (w) by some given transformation.

This lesson demonstrates the various ways in which an Inverse proportion question could be worded. Then through a series of worked examples, students learn how to answer questions involving direct proportion. The lesson contains a worksheet and answers which can be completed in class or set as a piece of homework.

These examination papers have been written in the style of the new GCSE Mathematics Papers. There are 41 questions and Answers helping students revise Algebraic Fractions Arc length and Area of a sector Area under the graph Calculating the mean Completing the square Composite and Inverse functions Compound Percentage questions.

Following the Dozen questions theme, attached here are two more worksheets with the same theme. Each worksheet has 12 questions based on the material for the foundation level new GCSE specification. Answers are also attached. A great way to identify whether students are solid on the topics selected.

This document is a revision booklet I put together for my students over the years. It contains worked examples and notes describing how certain problems are solved.

Snap or Pairs Here is a printable set of cards which can be used for one of two games. Snap The 54 cards are shuffled and divided equally between two students. Students then turn the cards up one at a time and work out the multiplication (or division) on that card. If that card matches the card on top of another player’s pile, the player who says “snap” first wins the pile of cards. The winner is the person who ends up with the entire pile of cards. Or if you choose to end the game earlier, the player with the most cards. Pairs Alternatively, all 54 cards are placed face down. Players then take it in turns to turn over two cards and work out the value for each card. If the two cards have matching answers the player puts the two cards in front of them as winning cards. This process is continued until all cards have been matched. The winner of the game is the person with the most cards in front of them.

This is the third of three lessons on circles aimed at Advanced level. This lesson looks at circle touching externally or internally.

This lesson looks at the CAST diagram and introduces students to the negative angles through a series of worked examples.

These two lessons introduce students to the vector equation of a straight line. Then the second lesson looks at lines which are either parallel, intersecting or skew.

Here are two papers for mathematics examinations aimed at calculator for foundation and higher. This completes at three paper assessment. These papers can not be obtained by students on the internet. Hence are ideal for end of term (or year) assessments. Solutions are included.

This is a Test I will use to check whether my students have met the standards required for topics which have been labelled as grade 6 in the new GCSE. Clearly I have listed which topics are tested and students are given this list in advance so that they can revise the highlighted topics. More tests will follow as I prepare them and then bundles will become available.

This workbook can be used with the Power point set. It introduces students to labeling up a triangle. Investigate the Sine ratio, Cosine ratio and Tangent ratio. The booklet has a variety of worksheets for each of these individually before mixing it up a little. The booklet then concludes with students having questions where they have to find the labeled angle. The booklet can be printed as an A5 booklet, which I find is easily placed in their books.

Lesson introduces students to the Cosine Rule formula which can be used for a variety of triangles. The lesson then has a series of worked examples before ending with a a number of questions for students to complete.

An introduction for students meeting Trigonometry for the first time. Covering several lessons. Demonstrates how to label the sides of a right angled triangle. Introduces students to the three Trig ratios before looking at finding angles.

A power point presentation covering examples of two event represented in a sample space diagram. Including how to use the diagrams to find the probabilities of two events occurring.