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

This lesson introduces the students to the 3 x 3 matrix. Students learn how to calculate the determinant, the adjugate and hence the inverse of a 3 x 3 matrix.

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.

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!

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

A PowerPoint which demonstrates to students how decimals are added together.

This PowerPoint demonstrates through a series of worked examples how we can multiply a given decimal by a given integer.

These two lessons cover the introduction to the sigma notation and a lesson on the Difference method. The method of difference is an alternative to the proof by induction.

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

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.

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.

This lesson shows younger children how to subtract numbers when using the column method. Each example is worked through and students can see clearly each step. There are plenty of examples so that children can grasp the techniques involved. The latter examples involve an element of literacy to the question.

This work book consists of worksheets which are used with the lessons on Area of a rectangle Perimeter of a rectangle Area of a triangle Area of a circle Circumference Area of a Sector Arc Length

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

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

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

This lesson demonstrates to students how we can find the original amount when a percentage has already been added on or subtracted off.

This lesson teaches the students how to find the volume of a curve that has been rotated through four right angles about the x-axis. This is done through a series of worked examples.

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 7 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.

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.