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 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 presentation is used to introduce students how to construct and use a Tree diagram. Through a series of worked examples students learn how to answer a variety of probability questions by using a tree diagram. The Answers provided with this purchase are for the free worksheet provided in my shop.

This power point has a series of worked examples to demonstrate how students can find the distance traveled or the acceleration of an object by means of finding the (approximate) area under the curve or the gradient of the tangent drawn to the curve.

This lesson shows students how to work out the y coordinates for given x coordinates. Then the results are placed onto a given xy axis and the line drawn. The lesson is accompanied with a worksheet for students to answer in class or as a piece of homework.

Lesson on solving inequalities, including quadratics. Lesson includes a worksheet for students to complete.

Lesson introduces students to the formula which can be used for a variety of prisms. The lesson then has a series of worked examples before ending with a large worksheet for students to complete.

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!

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.

Lesson on how to find the fraction of a quantity without the use of a calculator.

This is an investigation I used to use in the early 1990's when coursework was all the rage! Ideal task for end of term. Keeps the students still focused and on task.

These two PowerPoint presentations teach students how we find the area of a triangle and a trapezium. Now that students must learn the formula for the area of a trapezium I have shown how the formula is created through the knowledge of the area of a triangle. Through worked examples students learn how to apply these formulae.

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 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