These two PowerPoints are designed to teach students how to find the arc length of a circle or the area of a sector. The assumption is that students will already know how tho find the area of a circle and the circumference of a circle. Through worked examples students learn how to work out the area of a sector or the length of an arc.

This booklet extends from the introduction of trigonometry. The book has a series of worksheets covering Pythagoras or Right angled trigonometry for 3D objects. The booklet then has worksheets on the Sine rule, The Cosine rule and then The area of a triangle.

An introduction for students meeting Trigonometry for the first time. Covering several lessons. Demonstrates how to label the sides of a right angled triangle. Introduces students to the three Trig ratios before looking at finding angles.

This lesson or two has a series of slides which help teach or revise the words listed above. This is done with a variety of examples playing particular attention to prime factors. The powerpoint ends with two slides which can be printed off as a worksheet for students to answer in class or for homework.

This lesson brings together the knowledge of the length of a line between two points. The midpoint between two points. The gradient of a line and the equation of a line. There are many worked examples and the PowerPoint ends with a number of slides with questions for students to answer.

These two lessons I usually teach to year 7 students. However it could be taught at primary of even higher than year 7, if students struggle with area and perimeter. The powerPoints consist of worked examples demonstrating how we find the area of a rectangle or perimeter.

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

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.

These two lessons I usually teach to year 7 students. However it could be taught at primary of even higher than year 7, if students struggle with area and perimeter. The powerPoints consist of worked examples demonstrating how we find the area of a rectangle or perimeter.

The lesson contains a series of examples demonstrating how an object moves when given a translation. The lesson ends with a worksheet which can be printed for students to answer in class or as a piece of homework.

These GCSE Mathematics revision booklets are aimed at KS4 students who are independently revising for their GCSE. The front cover of each booklet can be scanned with a phone which will then upload a video to be watched. The student is then in a better position to attempt the material inside each booklet. Topics included are 3d Trig & pythagoras Algebraic Fractions Angles in a polygon Arc Length & Area of a sector Area under a curve Best Buys Calculating the mean Change of subject Circle theorems Completing the square Composite & Inverse functions Compound measures Cubics Cumultative frequency Density Mass Volume Direct & Inverse proportion Drawing graphs Equation of a line Error bounds Expanding & Factorising quadratics Forming equations Fractions HCF, LCM & Prime factors Histograms Inequalities Iterative formula Indices Perpendicular lines & Tangents Probability tree Quadratic sequences, formula & inequalities Ratio Recurring decimals Reverse percentages Trigonometry Simultaneous equations linear & quadratic Standard form Surds Transformations Volume

Lesson 1: Continuing a sequence This lesson looks at students being able to continue a sequence from a given rule, or obtaining a pattern from the numbers already given in the sequence. Through worked examples students get their first insight to the work involved with sequences. Lesson 2: Continuing a pattern This lesson concentrates around continuing patterns. Several worked examples look at numerical responses to the patterns generated. I usually teach this lesson after continuing a sequence and before the lesson on using the nth term. Lesson 3: Using the nth term This lesson is always taught after the introduce to continuing sequences. This lesson demonstrates how sequences can be generated by formulae. Also I point out along the way how the sequence going up by a certain number doesn’t imply that we add whatever each time but that it belongs in some way to a particular multiplication table. This, I find, helps with the next lesson on finding the nth term. Lesson 4: Finding the nth term This lesson is mainly about finding the nth term of any linear sequence. Through worked examples students very quickly learn how to find the nth term of sequence such as 5, 8, 11, 14, etc… The lesson also touches on other sequences but through their new found understanding of the linear sequence. This lesson is taught after the lesson on using the nth term and, dependent on age or ability, before the lesson on sequences which involve quadratic solutions. Sequence Workbook This selection of work can easily be printed as an A5 booklet. The booklet consists of questions for students to attempt in class or as a piece of homework and compliment the lessons on sequences I use yearly.

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.

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.

These two lessons teach students how to 1. Bisect a line 2. Bisect an Angle 3. Drop a perpendicular to a line 4. construct a 60 degree angle 5. construct a 90 degree angle 6. construct the 30 and 45 degree angle 7. construct 75 and 120 degree angles. The lessons also include worksheets for the students to attempt in class or as a piece of homework. Answers are included.

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

This powerpoint lesson follows any lesson that has introduced functions to students. The lesson begins by demonstrating how functions could be combined together in order to make other functions. It then demonstrates, through worked examples, how to calculate a composite function. The worksheet has two uses, the first three questions are designed for students to demonstrate they have followed the process of finding a composite function. The remaining questions, whilst continuing this process, leads us to another lesson on Inverse Functions. The composite for the remaining questions work out to be repeatedly x.

This workbook can be used with the Power point set. It introduces students to labeling up a triangle. Investigate the Sine ratio, Cosine ratio and Tangent ratio. The booklet has a variety of worksheets for each of these individually before mixing it up a little. The booklet then concludes with students having questions where they have to find the labeled angle. The booklet can be printed as an A5 booklet, which I find is easily placed in their books.

I use this PowerPoint over two lessons. The first lesson introduces students to the CAST diagram. There is an assumption that students are already aware of the three trig curves. A series of examples follow where students find the exact value for the sin, cos or tan of certain angles. The second lesson looks at the definition of a negative angle. The lessons complete with examples of how the CAST diagram can be used to solve simple trig equations for a given range.