Simple worksheet with 15 questions for students to practise using the area of a triangle formula A=0.5ab sin C. Answers are included.

The powerpoint presentation revises all the knowledge/skills required for basic differentiation - finding gradients, stationary points and their nature, tangents and normals, increasing and decreasing functions. The accompanying document mirrors the presentation and is meant to be completed by the students by themselves or as you work through the presentation - the document then serves as a revision sheet for the whole topic of differentiation. Note that these resources were created specifically for the Level 2 Further Maths course but they would still work well for a summary of the methods for basic differentiation.

These resources are for teaching how to answer the following type of question, common on new GCSE papers: Points A and B have coordinates (2,3) and (8,-6). Point N is on line AB so that AN:NB = 2:1. Find the coordinates of N. The powerpoint presentation starts with a refresher question about using ratio and then has a number of examples of the above question, with diagrams, to work through as a class. The printable version of the presentation can be given to students for them to complete as you go through the presentation. The worksheet has 14 questions for students to complete on their own, initially with the aid of a diagram and then without for later questions. Fully worked solutions are provided.

These resources can be used to introduce how the efficiency of algorithms can be compared and measured. In the first worksheet there is an example comparing bubble sort and shuttle sort, an example finding the order of an algorithm and then some examples using the order of an algorithm to estimate the time it will take to solve a problem of a particular size (fully-worked solutions are provided). In the second worksheet there are 12 exam-style questions on using the order of an algorithm to estimate the time it will take to solve a problem of a particular size. There is also the excel spreadsheet I created to generate examples - this can used to make as many more examples as you want.

After a few years of teaching packing algorithms by creating and working through examples on the board I got sick of it and created these resources. They make it easy to introduce, work through some examples and then there is another worksheet full of examples for students to attempt where the fully-worked solutions are already done, making it easy to check. The printable worksheets mean that students don't need to copy down lists of numbers or create tables to work on - this means they can spend the time just practising using the algorithm. There is also the excel spreadsheet I created to generate examples - this can used to make as many more examples as you want (instructions are on the spreadsheet).

The first worksheet has an introduction and explanation about increasing/decreasing functions, a few examples to work through as a class and then an exercise with 11 questions for students to complete. Answers to the exercise are included. The second worksheet gives students some practice at using differentiation to help sketch graphs. There are a couple of examples to go through with your class and then an exercise with 7 questions. Solutions are provided. Note that this resource was designed specifically for the Level 2 Further Maths qualification, so only covers differentiating functions with positive integer powers such as y=5x^3-4x+2, but can still be used an introduction to the general method of increasing/decreasing functions and sketching.

This worksheet contains over 20 questions on the forces and motion of connected vehicles - ideal practice for students preparing to sit their Mechanics 1 module exams. It has an introductory section which explains the important principles and terminology used, then there are 23 (multi-part) questions for students to work through. Answers to all questions are provided.

After a few years of teaching sorting algorithms by creating and working through examples on the board I got sick of it and created these resources. They make it easy to introduce, work through some examples and then there is another worksheet full of examples for students to attempt where the fully-worked solutions are already done, making it easy to check. The printable worksheets mean that students don't need to copy down lists of numbers or create tables to work on - this means they can spend the time just practising using the algorithm. There is also the excel spreadsheet I created to generate examples - this can used to make as many more examples as you want (instructions are on the spreadsheet).

I use this worksheet to introduce the idea of a frictional force opposing motion and how the size of the frictional force changes depending on the pulling/pushing forces and the maximum possible value of friction. The examples and diagrams make students think about the circumstances where maximum friction will be acting on an object, and to consider whether an object will be at rest, in limiting equilibrium, or will move. In total there are 40 questions for students to complete - all answers are included.

After a few years of teaching sorting algorithms by creating and working through examples on the board I got sick of it and created these resources. They make it easy to introduce, work through some examples and then there is another worksheet full of examples for students to attempt where the fully-worked solutions are already done, making it easy to check. The printable worksheets mean that students don't need to copy down lists of numbers or create tables to work on - this means they can spend the time just practising using the algorithm. There is also the excel spreadsheet I created to generate examples - this can used to make as many more examples as you want (instructions are on the spreadsheet).

These resources are a great way for your students to revise the key points they need to remember and understand about bubble sort, shuttle sort and the first-fit algorithms. The multiple choice questions are a quick way to check/revise the key knowledge, or this could be used as a quick assessment (answers provided) The sorting and packing practice worksheet has 2 pages of examination-style questions for students to attempt (worked answers included). The final resource is a 4-page document starting with all the required knowledge and skills listed on the first page, followed by 2 pages of examination-style questions (worked answers provided).

This worksheet contains 25 pages questions on resultant forces and equilibrium - ideal practice for students preparing to sit their Mechanics 1 module exams. This is a huge resource of questions and covers finding the resultant from 2/3 forces (including use of bearings), total contact force, finding a force given the resultant, and a triangle of forces for equilibrium. At the start of each new type of question there is a short note with the required information or skill to be able to solve that type of problem. Many questions come with a diagram as an aid. Answers to all the questions are provided.

I have used these two worksheets to teach my classes about the important properties of velocity-time and displacement-time graphs. Having these printable worksheets that I can project on a board and the students can work on seems to save a lot of time and effort for this topic. Each worksheet has a number of examples to illustrate particular properties of the graphs and there are spaces at the end to summarise these properties. I hope you find them useful. Answers are not included as I usually work through these with my classes. Other mechanics resources are available - please see my shop.

This short worksheet can be used to check that your students have understood how to use Newton's second law in situations where more than 1 force is acting on the object. The questions only involve objects on horizontal surfaces and all forces are parallel to the surface. The questions can easily be extended by asking students to work out the acceleration, mass or missing force in each question. Answers are not included as I usually work through this sheet with my class. Other mechanics resources are available - please see my shop.

I have used this worksheet to teach my classes about using differentiation/integration to investigate the motion of an object with variable acceleration. Having these printable worksheets that I can project on a board and the students can work on seems to save a lot of time and effort for this topic. The introduction builds on what they should already know from velocity-time and displacement-time graphs for constant acceleration, deriving the methods needed for variable acceleration. There is then 1 example that requires differentiation and 1 that requires integration. Answers are not included as I usually work through this with my classes. Other mechanics resources are available - please see my shop.

A simple worksheet for your classes to practise substituting values into expressions and formulas. In total there are over 50 substitutions for them to complete. Includes questions where the answers to each part should form a sequence, so students should be able to notice and correct errors themselves for these questions. I have only used postive and negative integers throughout, but this could be amended to use fractions, surds etc if you wanted to make it more challenging.

This printable worksheet is a good way to get your class to practise using Prim's and Kruskal's algorithms to find the minimum spanning tree for a network. The sheet saves you or your students having to copy down any network or tables and allows you to focus your time on using the algorithms. The worksheet includes using Prim's on a network and on a matrix. Solutions are provided.