This lesson is used to introduce students to perpendicular lines. Finding the gradient of a perpendicular line and the equation of such lines. The lesson is followed with a worksheet which can be used in class or as a piece of homework. Answers are included.

This powerpoint presentation introduces students to the understanding of area ratio and volume ratio when considering similar shapes. Through a series of worked examples students become more confident with answering such questions. The lesson concludes with a worksheet which can be answered in class or given as a 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 higher level new GCSE specification. Answers are also attached. A great way to identify whether students are solid on the topics selected.

These two lessons have worked examples which demonstrate the methods used for direct proportion and Inverse proportion. Attached to each lesson is a worksheet which can be printed out for students to either answer in class or as a piece of homework.

This lesson furthers a students knowledge from GCSE of the arithmetic progression. It introduces the students to a formula used for the nth term and has a proof for the sum of n term. The lesson then has a series of worked examples.

This lesson is used in lower school to introduce students to the gradient of a straight line by calculation. The lesson then looks at the general equation of the line. Acknowledging that m stands for the gradient and c the y intercept. There is a worksheet attached to this lesson which can be used in class or as a piece of homework. Answers are included.

Three lessons on how to construct Triangles. Each lesson has a relevant worksheet for students to answer either in class or as a piece of homework. Each worksheet also has a solution sheet. First lesson looks at constructing triangles when given all three sides. Second lesson looks at constructing triangles when given one side and two angles. Third lesson looks at constructing triangles when given two sides and one angle.

This lesson and worksheet looks at the expansion of (1+x)^n where n is a positive power.

This revision lesson looks at revising with students the understanding that area under a curve represents distance travelled and the gradient of a tangent represents acceleration when looking at a velocity time graph. The revision lessons is a mixture of worked examples and questions for the students to attempt before reviewing at the board.

This lessons introduces the younger students to the first three laws of indices. Through worked examples students develop their understanding of the quick methods used. The lesson is backed up with a worksheet which can be completed in class or as a piece of homework. I used this lesson with a very low ability year 8 class this week and it worked really well.

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.

These two spreadsheets have been completed with the three uploaded papers in mind. There are instructions on how to use the spreadsheet. Once the papers have been marked the students individual scores are placed into the spreadsheet question by question. The teacher can then glance to see which topics are class issues and which topics are just problem areas for one or two. There is also the facility to print out an overview per student. Each individual question is RAG rated so that it is easy to identify incorrect answers, partially correct answers and full marks. As I said the spreadsheet is aimed at the three papers I have posted. However it can be modified for other papers used in class. Simply replacing the listed topics an max mark allocation allows the spreadsheet to be used for papers you create or use.

Following on from the lessons which introduce trigonometry to students. These two lessons consist of worked examples using the three trig ratios developed in either year 9 or 8. The introduction lessons are in my shop. I have used this lesson with year 10, having already introduced trigonometry to these students in year 9.

Here are a three revision lessons I have used for my foundation students. The lessons consist of Area and Circumference of a circle. Solving Equations : letters on one side & letters on both sides. Probability of a single event. Dividing into a given ratio. This is easily 4 hours of work. I have used this with year 11 students revising topics in one hour blocks.

Each revision lessons last approximately an hour each with my classes. I work through the worked examples before students then attempt the set questions. We then discuss the answers and correct any mistakes made. The revision lessons in this collection are Transformations: Describing transformations that have been done. Fractions: Addition, Subtraction, Multiplication & division of..

There are approximately four lessons of work here which include the knowledge of Prisms, Pyramids and Spheres. I tend to get the students to copy the examples into their books. Then when they start the worksheet they have something to look back at for guidance.

This revision powerpoint looks at worked examples for the topics of Completing the square and solving quadratics inequalities. The second revision lesson looks at iterative formulae and quadratic sequences. The idea is that the member of staff works through 2 or 3 examples before the student attempts one question at a time. The review of the question then reinforces the students understanding of the topics.

This document is a revision booklet I put together for my students over the years. It contains worked examples and notes describing how certain problems are solved