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.

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

This lesson and worksheet introduces the students to the work Domain and how we can obtain the range through the sketch of various curves.

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

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!

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.

The following Tests are based on the type of questions that tend to appear at the beginning of examination papers at GCSE. You may disagree with my positioning of such topics, but I have created Tests papers for what I consider to be the other grades as well. The aim of these tests is to first identify which topics are causing concern before fixing the issue and further tests are available to see if improvements have been made.