This lesson is used to introduce students, through worked example, to the topic of proof by induction.

This lesson demonstrates to students natural logs can be used with more complex differentiation.

This lesson looks at the mapping of one plane (z) into another plane (w) by some given transformation.

This lesson looks at the CAST diagram and introduces students to the negative angles through a series 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 work book consists of worksheets which are used with the lessons on Area of a rectangle Perimeter of a rectangle Area of a triangle Area of a circle Circumference Area of a Sector Arc Length

This lesson is a Powerpoint and Worksheet which I have used to teach students how to divide fractions. This lesson is taught once I have covered multiplication of fraction. Once the worked examples have been covered students are given the worksheet to either complete in class or as homework. Answers to the worksheet are also provided.

This lesson introduces the students to the 3 x 3 matrix. Students learn how to calculate the determinant, the adjugate and hence the inverse of a 3 x 3 matrix.

This lesson teachers students about the iterative formula. The ability to identify why there is a root between two points. The ability to generate an iterative formula. The presentation also demonstrates that not all iterative formulae work. The lesson follows with a worksheet for the students to attempt either in class or as a piece of homework. Answers are included.

This lesson makes use of the Venn diagram and introduces students to the probability of A union B and A intersection B. The students then make use of these formulae in other examples.

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.

This activities are aimed at key stage 3 students but could be used as revision for 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 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.

A power point which helps students learn their timestables.

Lessons which teach students the properties of Prisms, Pyramids and the Sphere. Including symmetry. This purchase also includes a worksheet for the students to complete.

A lesson teaching students the general integrals they need to know for the A2 material of calculus. A worksheet is also attached which can be used as classwork or as a piece of homework.

This second lesson on standard integrals includes the knowledge of integration of trig functions and the use of the "1/a" notation. Worksheet is included fir students to attempt in class or as a piece of homework.

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.

These two lessons are used to revise the variety of methods we have for calculating the probability of some event.

This lesson is the second of three lessons on circles. Extending from the circle with centre (0,0) this lesson looks at obtaining the equation of the circle when the centre is elsewhere and a variety of other examples.