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 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.

These festive worksheets and small PowerPoint can be used to keep students at GCSE level motivated in the run up to Christmas.

This set of exercises can either be used as a starter during the last two weeks of term or all together as a lesson piece. Designed with a Christmas feel, the task involves students either creating mathematical equations or using the process of elimination to find the numerical values attached to each of the Christmas pictures presented. The material is useful for either KS2 or KS3 students, however GCSE foundation students would also have fun with this material.

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

A lesson showing students how to find the solution to an algebraic expression through decimal search. The lesson also includes two questions for students to attempt.

This power point teaches students how to find the nth term for any sequence which is quadratic. The method adopted in the power point can also be used for linear sequences. Note: The preview does not fully show the notations used in this power point. This only appears in full purchase.

A power point presentation covering examples of two event represented in a sample space diagram.

The series of examples demonstrates to students how to tackle problems involving numbers written in standard form. The examples end with a worksheet which could be printed for students to answer in class or as a piece of homework.

The series of worked examples look at factorising and its uses. The examples address the ability to simplify algebraic fractions by factorising. There are then several questions for the students to then answer.

Lesson introduces students to the Sine 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. The worksheet has answers with it.

This lesson introduces students to the logarithm to a given base. There is a series of worked examples and concludes with the graph of y=logx.

This lesson is designed to firstly demonstrate to students how they can prove the three laws of logs. Then there are several examples which use the laws of logs. The lesson is follow on from the introduction to logs.

The power point presentation shows students why angles in a triangle add up to 180. Prior knowledge is required here of the angles on a straight line and/or Alternate angles. The power point has a series of worked examples for the angles in a triangle before looking at the angles in a quadrilateral. Following the angles in a quadrilateral there are a series of cards that can be printed to go with a collection of questions at the board. (a bit like bingo) Students answer each question and should find a number that can be crossed out. The winner being the one who completes their card correctly!

A lesson introduces the students to pi. Students work out for themselves with little guidance that pi is approximately 3 or even 3.1. This also gives the teacher the opportunity to introduce the formula for the area of the circle. The follow up lesson also on this resource has several examples involving finding the areas of circles. The resource also contains a worksheet for students to answer either in class or as a piece of homework.

This lesson looks at finding the surface area of shapes such as cuboids, square based pyramids, cylinders, cones and spheres. The lesson also shows a proof for the surface area formula of a cone. However for this students to understand this proof it is essential that they have already met arc length and area of a sector. The lesson contains a number of worked examples.

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.

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.

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.