This lesson teachers students about the iterative formula. The ability to identify why there is a root between two points. The ability to generate an iterative formula. The presentation also demonstrates that not all iterative formulae work. The lesson follows with a worksheet for the students to attempt either in class or as a piece of homework. Answers are included.

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 higher level new GCSE specification in Mathematics. Answers are also attached. A great way to identify whether students are solid on the topics selected.

GCSE Higher level Mathematics run around game This activity is aimed at Higher level 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. (For a higher level set this may need printing more than once) 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 Higher level 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!

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 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.

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

Excellent resource for the last term approaching summer holidays. Great fun revision of topics including fractions, percentages, ratio and algebra. Answers are included.

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

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.

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

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.

This lesson looks closer at the value b^2 - 4ac and the types of roots the outcome would suggest. The lesson then looks at more algebraic problems.

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

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!

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 was created to help students with the Edexcel level 3 examination. Students learn the formula for the geometric mean and look at some 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.