Coupled differential equations covers; Analyse and interpret models of situations with one independent variable and two dependent variables as a pair of coupled 1st order simultaneous equations and be able to solve them, for example predator-prey models Interpret a given context to form a pair of first order simultaneous differential equations Eliminate x or y to form and solve a second order differential equation Solve a pair of first order simultaneous differential equations to find the dependent variables as functions of the independent variable. These PowerPoints form full lessons of work that together cover the full A level Further Maths course for the AQA exam board. Together all the PowerPoints include; • A complete set of notes for students • Model examples • Probing questions to test understanding • Class questions including answers • Individual whiteboard work • Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook The PowerPoints can be used in the lesson and also given to students that have missed a lesson Videos of the lessons are all on You Tube so you can see the PowerPoint lessons fully first Please leave a review as it will really help me to improve my resources

This is a powerpoint covering basic calculus for GCSE. It contains brief notes by way of an explanation, model answers to questions and a question or two for the students to do; all of the questions come with answers that you can display when ready. The slide show comes with a progress grid (regularly referred to in the presentation) so that students can mark their progress from start to finish and pinpoint any areas that may need extra work with a “red/amber/green” system that they fill in; each one is given an approximate grade in both new (2017 onwards) and old system in England. It’s what I use in my lessons before setting tasks from worksheets or text books to practise.

These are handwritten notes for the fifth topic of the new Analysis & Approaches SL course, for first exams in 2021. The HL course will contain this content, with some additional calculus subtopics. There will also be significant overlap with the A&I Topic 5. I wrote and sold notes for the old IB courses, which have been fairly successful, so I am in the process of writing notes for the new courses, from scratch. If you want a preview, try the first topic of the new course for free Please ‘follow’ my shop, so you will be notified when the notes from the other course become available over the next few months. Please let me know if you have any feedback or improvements that could be made. This topic includes: 5.1 - Limits, Slopes of Curves 5.2 - Increasing, Decreasing Intervals 5.3 - Polynomial Derivatives 5.4 - Tangents, Normals 5.5 - Intro to Integration 5.6 - Differentiation of more functions, product/quotient/chain rules 5.7 - Second derivatives, derivative graphs 5.8 - Turning points, Inflection points 5.9 - Kinematics 5.10 - More Integration Rules 5.11 - Definite Integrals, Area

This is a whole lesson looking at Numerical Integration and follows on from the previous lessons by looking at the Trapezium Rule to estimate or approximate the area under a curve. The lesson is very clear on why the trapezium rule is a good approximation and how it works. This lesson is ready to go, with no prep required. It is also great for home learning. 23 slide presentation + worksheets. The lesson includes: Starter - a quick question on integrating with bounds Learning Objectives (differentiated) Superb teaching slides (very visual) Lots of examples AFL questions for students to check understanding 2 x Worksheet (with answers) handout Plenary ALL LESSONS on Algebra in one MEGA BIG Bundle: Algebra: All Lessons + All Resources LASTLY: This lesson is flat packed for copyright purposes Please provide a RATING with written feedback Please email outstandingresourceshelp@gmail.com if there are any issues.

A Level Maths Revision Notes Maths Revision - A Level new spec - Things to Learn For the Edexcel Maths A Level (New Specification - from 2017). All the things you need to learn off by heart for the new A Level maths exam. These are my own notes, from doing many years of past papers. A fantastic resource! Brilliant for revision, or for using alongside practice papers. They are very useful for teachers - I always have this with me in lessons for quick referencing. The notes are based on the Edexcel exam board, but are also useful for other boards. ================================================== **Currently there are mainly pure maths notes in this resource, with some stats and mechanics. There are now 2 files included. If you buy this resource, please look back here often to get FREE updates, as I will be adding even more revision notes! ** Latest Update - 19.01.20 More stats added. ================================================== The Alternative Formula Booklet Who is this booklet for? This booklet is for anyone teaching or taking the new A Level maths course. It is suitable for both teachers and students. What is in this booklet? This is the alternative formula booklet! It contains all the things you need to know for the exams that aren’t given to you in the official exam formula book. How to use this booklet Students: Use this booklet alongside your homework and past paper questions. Think of it as the clues you need to complete the questions. Get used to using the formulas in this booklet and then learn the whole lot off by heart for the exams! Teachers: Take this booklet to all your lessons. Use it as a reference to double check formulas, or quickly look up something you should know but have forgotten. Use it to test students on their formula knowledge! Notes from the Author I hope you find this booklet as useful as I do! It is the result of many years of teaching A Level maths. If you have any comments or suggestions, please contact me at elsie99999-maths@yahoo.com . The document is split into 2 files: pure maths - 38 pages of A4 applied maths - 42 pages of A4 It can be printed in colour or black and white. ================================================== You may also like: Edexcel Large Data Set Notes Solving Trig Equations Solving Simultaneous Quadratic & Quadratic Equations & Inequalities Please visit Maths Shop to see more of my resources. ==================================================

This is a whole lesson on teaching Exponential Graphs and Functions. This begins with what these graphs look like with key points and characteristics. It then looks at drawing them and then problems associated such as finding gradients and solutions to equations with exponential functions. The lesson also relates this topic to Covid-19 and the Coronavirus. This lesson is ready to go, with no prep required. It is also great for home learning. 22 slide presentation + lots of extra resources. The lesson comes with: + a Starter + Learning Objectives (differentiated) + keywords + superb teaching slides (lots of custom animation) + lots of examples + Video on Exponentials and Covid-19 (maths in real-life) + Handout of Axes (so pupils don’t spend a lot of time drawing axes) + Embedded Questions (with answers) + worksheet (with answers) + Plenary ALL LESSONS for teaching ALGEBRA are available as one BIG bundle in the link below: Number: All Lessons LASTLY: This lesson is flat packed for copyright purposes Please provide a RATING with written feedback Please email outstandingresourceshelp@gmail.com if there are any issues.

Pupils match up functions and their derivatives. Extended version so the outside edges have unused derviatives on them to make the puzzle harder.

Over 2800 questions on differentiation across 299 pages with solutions for the 2nd year of the A-Level Maths specification.

Maths word search activity (Mathematics / Math wordsearch) - Perfect activity for vocabulary practise in literacy centres or as an extra activity to promote the subject! Words were chosen carefully so spelling is suitable for US/CAN/UK :) Part of my 100 words series! These are generally challenging for students - encourage them to use their growth mindsets and work in pairs or teams if necessary!

A set of eleven lessons covering differentiation: Gradient at a point on a curve Differentiating algebraic functions Equations of tangents Increasing and decreasing Stationary points Curve sketching Closed intervals Optimisation problems Graphs of derivatives Derivatives of sinx and cosx Chain Rule The lessons can be used for whole class work, revision, help for parents or opportunities for pupils to catch up with missed work.

This is a whole lesson on Integration - Finding an Area under a Curve and follows on from the introductory lesson. It does practice basic integration as well as now putting it into the context of finding the original equation and finding an area under a curve. This lesson is ready to go, with no prep required. It is also great for home learning. 25 slide presentation + fantastic worksheet with answers. The lesson includes: Starter - a quick question on area to get students thinking Learning Objectives (differentiated) Key Notation Great Teaching slides (very visual) Lots of Examples. AFL questions and activities for students to check understanding An excellent worksheet (with answers) Additional worksheet for the less able or to set for homework as practice Handout to remind pupils of some of the index rules they might encounter Plenary ALL LESSONS on Algebra in one MEGA BIG Bundle: Algebra: ALL Lessons LASTLY: This lesson is flat packed for copyright purposes Please provide a RATING with written feedback Please email outstandingresourceshelp@gmail.com if there are any issues.

I liked phildb's chain rule plenary with 'here's the answer, what&'s the question' and have just adapted it for easier interactive whiteboard use

I used this to recap differentiation and introduce the idea of integration in core 1, but it could easily be used during differentiation lessons as well.

A brilliant Tarsia activity by Gill Hillitt on finding the Cartesian form of parametric equations. These type of activities can be used to consolidate understanding of a given topic, and foster positive group work and co-operative learning. For more ideas on how to use these types of activities (including twists!) and to download the latest version of the wonderful free software to open this resource (and create your own), just click on the web-link. If you have any comments or feedback for Gill, please share them below.