These PowerPoints form full lessons of work that together cover the new AS 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 I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download Please leave a review as it will really help me to improve my resources Rational inequalities covers; Solving inequalities such as (ax+b)/(cx+d)<ex+f algebraically. Graphs of rational functions of form (ax+b)/(cx+d) Asymptotes, points of intersection with coordinate axes or other straight lines Associated inequalities. Graphs of rational functions of form (ax^2+bx+c)/(dx^2+ex+f) , including cases when some of these coefficients are zero Asymptotes parallel to coordinate axes.

This is a whole lesson looking at the Range and Domain in functions and inverse functions. The lesson looks in great detail at notation and really understanding these important concepts. The lesson links well to quadratic graphs and other graphs. It also looks at mapping, one to one, many to one etc. This lesson is ready to go, with no prep required. It is also great for home learning. 22 slide presentation + supplementary resources. The lesson comes with: Starter (linked to quadratic graphs) Learning Objectives (differentiated) Keywords Key Notation (vital to understand functions) Excellent teaching slides Lots of examples Worksheet on domain and range (with answers) Plenary 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.

Topics covers; Modulus of functions and associated inequalities Graphs of y=|f(x)| and y=1/(f(x)) for given y=f(x) Understand the concept of an oblique asymptote Conic functions extended to composite transformations including rotations 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 I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download Please leave a review as it will really help me to improve my resources

This resource for the new A-Level Maths 2017 Spec is for modulus functions This involves sketching graphs of y = |f(x)| and y = f(|x|) and involving trickier graphs like sin and cos and ln Students are also asked to solve equations involving modulus functions as can be seen in the preview there are around 15 questions in total involving both sections Perfect for students looking to revise this topic before the summer Exams Applicable for all exam boards such as Edexcel and AQA Need checklists for A-Level maths? Statistics checklist https://www.tes.com/teaching-resource/a-level-maths-2017-statistics-topics-checklist-12055719 AS Level Checklist https://www.tes.com/teaching-resource/a-level-maths-2017-as-topics-checklist-12055407

This large presentation introduces the modulus function and its graph. It covers how to sketch a modulus graph and also has questions for students to do. It then moves into solving modulus functions both algebraically and using the graphs. SMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.

Hyperbolic functions covers; Use the domains and ranges of the hyperbolic functions. Understand the definitions of hyperbolic functions sechx, cosechx and cothx, including their domains and ranges. Use the domains and ranges of the inverse hyperbolic functions. Differentiate and integrate hyperbolic functions. Be able to derive logarithmic formulae for sech, cosech and coth Understand and use the identities; * sech² θ=1-tanh² θ * cosec² θ=coth² θ-1 * cosh2θ=cosh² θ+sinh² θ * sinh2θ=2sinhθcoshθ Construct proofs involving hyperbolic functions and identities 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 I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download Please leave a review as it will really help me to improve my resources

This is a whole lesson looking at the Factor Theorem and its links to cubic graphs and dividing it into polynomials. The lesson looks at drawing cubic graphs, the key points to enable students to sketch them, and how to use the factor theorem and factorising to help do so. This lesson is ready to go, with no prep required. It is also great for home learning. 22 slide presentation + resources. The lesson comes with: + a starter + learning objectives (differentiated) + keywords + several little MWB activities + excellent teaching slides + lots of examples + a handout of all the different graphs + worksheet (with answer key) + plenary ALL LESSONS for ALGEBRA are available as one BIG BUNDLE in the link below: 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.

Do your pupils remember those symmetry exercises they did when you were younger? Why shouldn't those learning about graphs of functions have a go as well? Present them this worksheet as a lesson starter, with no further introduction. Then encourage them to recognise and label each function. Finally, lead discussions about odd and even functions, or the graphs of inverses, including restricting the domain of functions so that they have an inverse. The functions featured are linear, quadratic, cubic, reciprocal, exponential and trigonometric. Suitable for A-level or Advanced Higher.

Four questions about the domain and range of a function. It deals with the inverse of a function and its reciprocal. Solutions included.

match cards for group activity in learning A1 further pure unit on hyperbolic functions

These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. 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 ‘The Textbook by CGP’ 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 Please leave a review as it will really help me to improve my resources Composite function covers; Understand and use composite functions