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

This lesson is the second of three lessons on circles. Extending from the circle with centre (0,0) this lesson looks at obtaining the equation of the circle when the centre is elsewhere and a variety of other examples.

These two lessons show students, through worked examples how we can obtain the area under a curve through integration and also how we obtain the area entrapped between two curves.

This lesson draws together two earlier lessons. One on Tangents and normals to a curve. The second on Parametric Differentiation. The lesson consists of a few worked examples.

Having taught the Compound Angles the next lesson is this lesson which looks at the double angle formulae and examples of situations where the knowledge is required.

These two lessons look at the compound angles. Proof on formulae first followed by a series of examples.

This lesson teaches students how to first differentiate a variety of trig functions followed by integration of trig functions.

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 Grades (1 - 5). Answers are also attached. A great way to identify whether students are solid on the topics selected.

This GCSE Examination paper is designed for the OCR Further Mathematics GCSE. Answers included

GCSE Run around Game 6 This game is aimed at foundation students who have just been revising certain topics. Topics covered in this game are Sequences nth term Solving equations Dividing into a given ratio Factorising Decimals. This activity is aimed at Foundation students who are revising for their GCSE examination. Each round consists of four questions. Print the slides 8 to 13 on A4 paper and place one printed slide per table. Students are put into pairs (either by choice or teacher selection) and are given a copy of slide 14 and a few sheets of pieces of A4 paper. The pairs are designated a starting table and the timer (slide 2) is started. The students are then given 5 minutes to answer the four questions on that table. Once the five minutes is up the students move clockwise to the next table and start the next set of four questions and the timer of slide 3 is started. This continues until all students have completed the six tables worth of questions. The answering of the questions takes no more than 30 minutes. Students then remain at their final table, swap their answer sheet with the nearest table and the answers are produced. At this stage I go through the questions before revealing the answers. In this way the students have had a go at GCSE style foundation questions and have also seen a demonstration as to how they should have been answered. Finally, students add up their score and the highest score get a prize!

Here are two powerpoint lessons which give information and properties to all the types of triangles and quadrilaterals which younger students need to know about. The first lesson looks at equilateral, isosceles, right angled and scalene triangles and lists other properties such lines of symmetry and rotational symmetry. The second lesson then looks at the quadrilaterals such as squares, rectangles, the parallelogram, trapezium and kite. This is concluded with a worksheet and answers. The recent edit now includes examples where students must plot coordinates and then name the polygon drawn.

This lesson is a follow on from the lesson on differentiation by first principles. Following that lesson and homework, students should by now have realised a shorter approach with differentiation. This lesson develops that understanding, whilst still remaining with the positive power. There is an assumption here that they would have met Tangents and Normals to the curve through their geometry work. The lesson also contains a worksheet for students to work through.

This lesson demonstrates how we multiply and divide complex number and further introduces student to the Argand diagram.

This lesson simply introduces students through a series of examples to the complex number.

These two lessons introduce students to the modulus argument format for writing complex number.

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

This lesson makes use of the Venn diagram and introduces students to the probability of A union B and A intersection B. The students then make use of these formulae in other examples.