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 introduces students to long division for algebraic fractions. I usually teach this lesson before the lessons on factor and remainder theorem.

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.

Following on from the lesson on indefinite integral. This lesson looks at the limits attached to a given integral.

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.

GCSE Foundation Run around game 3 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!

A lesson teaching students the general integrals they need to know for the A2 material of calculus. A worksheet is also attached which can be used as classwork or as a piece of homework.

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.

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 lesson follows the lessons taught on differentiation. The opening slide introduces integration as the reverse of differentiation. Then through a variety of examples students get used to integration.

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 second lesson on standard integrals includes the knowledge of integration of trig functions and the use of the "1/a" notation. Worksheet is included fir students to attempt in class or as a piece of homework.

This lesson and worksheet looks at the understanding of expanding a linear bracket to a positive integer value as the power.

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

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.

This is an investigation I used to use in the early 1990's when coursework was all the rage! Ideal task for end of term. Keeps the students still focused and on task.