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.

These 15 worksheets give the students multiple attempts to either find the equivalent fractions or work out the fraction of a quantity without the use of a calculator.

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.

Give your classroom a festive look this December. The two advent calendars are designed to be displayed around the classroom in the run up to the Christmas holiday, or as set pieces of work each day. Students can search the classroom walls for the question of the day and answer the question on their sheet. Ideal as a starter or a good conclusion to the lesson. Questions range from Algebra, number work, fractions, decimals, ratio and much more. There are two calendars which can be mixed and matched as you require. Excellent resource to include a little bit of festive fun and revision.

Circle Theorems revision is a PowerPoint presentation which can be used over two lessons or more. The lesson starts with the six theorems required at GCSE followed by a series of examples and questions for the students to attempt.

These revision lessons are designed for students studying GCSE mathematics and cover the following: Volume of a prism Volume of a sphere Volume of a pyramid Volume of a cone Surface area of a cuboid Surface area of a cone Surface area of a cylinder

Due to the COVID 19 pandemic and recent lock downs, I have designed a series of graded worksheets which can be used to identify gaps in students work throughout the grades. This first batch looks at the material which should cover most topics in the Foundation Tier, graded from 1 to 5. There are approximately 3 to 4 sheets for each grade (with answers). The idea is that a student is given a grade 1 sheet to complete. Once marked and reviewed, the class teacher can then identify class issues, individual student issues and revise accordingly. The a second grade 1 sheet can be given to see if there is improvement. This can be completed for a third and sometimes a forth time. The same approach is then given to grades 2, 3, 4 and 5. This can also be used to seek what worked in lock down with on line learning and what did not.

This lesson introduces students to the first two rules applied when multiplying or dividing numbers to given powers. The powerpoint consists of worked examples and concludes with a worksheet for the students to complete.

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.

This PowerPoint is a lesson on integration by parts. I first demonstrate how the formula is a rearrangement of the product rule. I show the formula also in words as I find that students generally find this the easiest way to remember it. The lesson contains a number of worked examples for students to follow.

This lesson introduces students to the angle measure the Radian. There is a quick proof of the Area of a sector and arc length formulae. Followed by several worked examples on the use of these formulae. It is expected that students would have met the area of a triangle formula in trigonometry before this lesson.

This lesson has a series of worked examples showing students how to solve more complicated linear equations and also quadratics. The lesson has been used in the past for year 12 students in September. However it can also be used for the more complicated questions required in year 11 work.

This lesson is an introduction to differential equations which is required at Core 4 level and also in the later mechanics work. There are several worked examples which demonstrate how to separate he variables and then use their knowledge of integration.

This lesson teaches the students how to find the volume of a curve that has been rotated through four right angles about the x-axis. This is done through a series of worked examples.

This is a Test I will use to check whether my students have met the standards required for topics which have been labelled as grade 6 in the new GCSE. Clearly I have listed which topics are tested and students are given this list in advance so that they can revise the highlighted topics. More tests will follow as I prepare them and then bundles will become available.

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.

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.