This lesson I usually teach to the younger students. I prefer to drawn horizontal bar charts as the labelling is much easier to represent. However there are examples of vertical bar charts in the powerpoint and worksheet. One of the slides is designed to carry out a tally chart in class. Once the tally has been collected you can place the information into the next slide and a horizontal bar chart for the live data will be presented.

This short series of examples demonstrates how we can use the coverup rule to quickly place a given algebraic fraction into partial fractions. The examples also includes areas where partial fractions is useful.

This is a power point presentation which introduces students to the knowledge of Pythagoras' Theorem. It includes many worked examples. I usually teach this over two lessons.

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 in a PowerPoint which introduces students to the topic of decimal places through a series of worked examples.

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

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

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

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 activities are aimed at key stage 3 students but could be used as revision for 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 bundle of work consists of three lessons with worksheets. Lesson one : Collection of like terms. This lesson and two worksheets covers the ability to collect like terms when simplifying a series of terms. Lesson two : Simplifying expressions This lesson and two worksheets looks at multiplying terms together where algebra is involved. (At the same time revising the knowledge of - x - or - x +, etc) Lesson three : Substitution into formulae This lesson and two worksheets covers the ability to substitute numerical values into simple algebraic expressions Two worksheets have been given per lesson so that if the class has an issue with the first worksheet, then a review of the work can take place with the follow up worksheet used to demonstrate improvement. These lessons are suitable as an introduction to Algebra or for the younger students who have little knowledge in Algebra.

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

This lesson has been used over the years as an introduction to factorising initially the basic trinomials before looking at the more complicated trinomials. The lesson also consists of a worksheet with solutions for students to attempt in class or as a piece of homework.

These two lessons and worksheets are lessons which cover the translations of graphs and the knowledge of stretching a graph by a given scale factor. The lesson is aimed at the students working out the translation which takes place by initially drawing certain graphs and then linking them the original graph drawn. This is then followed by a series of examples. The second lesson is similar in that the students are encouraged to draw a series of graphs before linking them to the original as a stretch. The lesson then continues with a series of worked examples. Both lessons have a worksheet with solutions.