These resources are designed to introduce the vectors topic for the Core 4 module. The first resource introduces all the required skills and knowledge using just 2 dimensions, which enables students to use/draw diagrams to help them understand the steps in the solutions. At appropriate points within this resource there are prompts to attempt one of the other worksheets to focus on a particular skill or type of question. All the other worksheets work in 3 dimensions, so students may need help with the first couple of examples on each sheet. There are lots of examples on each sheet to help students become confident with that particular part of the vectors topic. Answers are provided for all the worksheets, either on the sheet or as a separate resource.

This 28-page resource covers all the required knowledge and techniques for the topic of parametric equations, as required for the new A level. In each section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections/topics are: Parametric graphs (a) sketching graphs with parametric equations (b) finding the value(s) of the parameter at a particular point on the graph Converting parametric to cartesian equations (a) converting parametric equations that are polynomials, rational functions, exponential functions… (b) converting parametric equations that involve trigonometric functions Finding the intersection of a parametric graph and a graph with cartesian equation (a) Converting the parametric equation to cartesian (b) Substituting the parametric equations into the cartesian Finding gradients of parametric curves (a) Finding an expression for dy/dx and the gradient of the curve at a point (b) Finding stationary points and points where tangent is parallel to x-axis or y-axis © Finding the equation of the tangent or normal to the curve Finding the area between a parametric curve and the x-axis This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. The comprehensive set of exercises contains around 100 questions for your students to complete. Answers to all exercises are included. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186

This resource covers the use of graphs and/or the sign-change rule to investigate roots of equations, as required for the new A level. It contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The notes cover: (a) Use of a sketch of y=f(x) and y=g(x) to investigate roots of f(x) = g(x) (b) Using a sketch of y=f(x)-g(x) to investigate roots of f(x)=g(x) © Using the sign-change rule (d) Conditions where the sign-change rule can be misleading This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. Answers to the exercise are included. Also included is a short activity to show how this method can be used to find smaller intervals where a root lies, which can be used as an introduction to iterative methods. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186

This 28-page resource covers all the required knowledge for the normal distribution in the A2 part of the new A level. In every section it contains notes and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). The sections are: 1. Discrete vs continuous random variables 2. Properties of the normal distribution curve 3. Using a calculator to find probabilities 4. z-scores 5. Standard normal distribution 6. Conditional probability 7. Questions that involve both the normal and binomial distribution 8. Inverse normal distribution 9. Finding unknown parameters 10. Using the normal distribution as a model 11. Approximating a binomial by a normal This projectable and printable resource will save you having to write out or create any notes/examples when teaching this topic. It also increases how much you can get through in lessons as students don’t have to copy notes/questions and can work directly onto spaces provided for solutions. You could also email/print some or all of this for students who have missed lessons or need additional notes/practice/revision. Also included is a 2-page assessment that can be used as a homework or a test. Fully worked solutions are provided. Here is an example of one of my A level resources that is freely available: https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186