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Composite functions and Inverse functions (new GCSE grade 9-1 content) - 3 LESSONS!

Composite functions and Inverse functions (new GCSE grade 9-1 content) - 3 LESSONS!

Ideal resource for teaching the new GCSE (Grade 9-1) topic of composite functions and inverse functions. There is enough material for 2 to 3 lessons. Split into four sections. Each has examples that the teacher can model, questions pupils can practice (+ answers!). Section 1: Substituting values into functions, e.g. f(-1) when f(x) = 2x - 5 Substituting values into composite functions e.g. fg(2) when f(x) = 2x + 1 and g(x) = 3x - 1 Section 2: Using composite functions, e.g. Work out fg(x) when f(x) = x² + 1 and g(x) = x - 3 Section 3: Solving functions and composite functions, e.g. Solve f(x) = 0 when f(x) = 2x - 7 e.g. Solve f(x) = g(x) when f(x) = x - 5 and g(x) = x² - 2 Section 4 : Using inverse functions, e.g. f¯¹(x) when f(x) = 2x - 1 or f¯¹(x) when f(x) = x/x + 3 Plenty of material for 2 to 3 lessons across these topics -answers to questions included.
pncullen1984
Linear Equation Fractional Linear Equation One Variable Equation Worksheets

Linear Equation Fractional Linear Equation One Variable Equation Worksheets

These several worksheets of various difficulty on linear equations (one variable equations), they go from fairly difficult to monstrously difficult! Very detailed step-by-step solutions are provided with explanations of each step. Have a look and let me know what you think! I hope you find these useful. You can get more FREE worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com. No signup, ads, just great questions and solutions
joezhou
Topic 2: Functions and equations (IB Standard level)

Topic 2: Functions and equations (IB Standard level)

Including all the Power point presentations for the Topic 2 -Functions and equations, based on the IB Mathematics SL Syllabus. The sub topics are: Introducing functions The Domain and the Range Function Notation Composite functions Inverse functions Transforming functions Solving quadratic equations The quadratic formula Roots of quadratic equations Quadratic graphs y=ax2+bx+c Quadratic graphs y=a(x-h)2+k Quadratic graphs y=a(x-p)(x-q) Finding the equation of a quadratic function from a graph The reciprocal function Rational functions Exponential functions Transformations of Exponential functions Logarithmic functions Applications of exponential and logarithmic functions
oralhurt
Algebra Bundle 20% off

Algebra Bundle 20% off

A bundle of my algebra premium resources, Algebraic Fractions, Compositie Functions, Iterations, Equations of Linear Graphs,, Substitution, Roots and Turning Points. All fully differentiated and suitable for new curriculum with plenty of problem solving, reasoning ect. Soltions for all tasks included.
IanBrennan
Composite Functions

Composite Functions

A series of lessons (2-3) on finding and solving equations of composite functions. It gives the pupils plenty of opportunity to become familiar with the notation of f(x) ect and using this to substitute numbers into an expression. It then gives pupils the chance to find fg(x) ect and then moves onto solving equations suh as fg(x) = gf(x). There are also problem solving tasks to develop pupils learning. All tasks are differentiated, 2-4 levels for each task to make it accessible to all pupils but also to stretch the more able. All tasks have full solutions to it is easy to peer and self assess during the lesson. The lesson includes reasoning and problem solving tasks which ensure that this is suitable for the 9-1 GCSE curriculum. I have used this lesson and pupils were engaged yet challenged.
IanBrennan
Roots and Turning Points

Roots and Turning Points

A series of lessons (2-3) on finding the roots and turning points equations. It recaps the skills required such as solving, factorising and completing the square on a quadratic and then develops these skills to find roots and turning points of an equation. There are plenty of reasoning tasks suitable for the new curriculum and this stretches the more able to understand the properties of graphs. There are also algebraic questions and links it to sketching graphs. All tasks are differentiated to 3 or 4 levels to allow the skill to be practiced and then to stretch and challenge the more able. All tasks have either worked solutions or typed solutions so that the pupils can self mark. This has been used with top set year 11, all pupils engaged and made good progress.
IanBrennan
Geometry: Trigonometry / Trig Bundle - 9 lessons (perfect for the new GCSE / IGCSE)

Geometry: Trigonometry / Trig Bundle - 9 lessons (perfect for the new GCSE / IGCSE)

This bundle includes so much on different areas of trig at both NEW GCSE/ IGCSE and many aspects included in AS Level . There is no content here just for A-Level as I designed the bundle to thoroughly teach all aspects needed for the most able at KS4. However, I do have additional lessons that are just for A-Level only. This is one of my best bundles and I highly recommend these resources, mainly have taken over 10 years to perfect. Lesson 1 - An Introduction to Trig Lesson 2 - Basic Trig (soh cah toa) Lesson 3 - Trig in 3D Lesson 4 - Sine rule Lesson 5 - Cosine rule Lesson 6 - Trig area rule Lesson 7 - Spaghetti Lesson Lesson 8 - Drawing Basic Trig Graphs Lesson 9 - Amplitude and Period NOTE: Feel free to browse my shop for more excellent free and premium resources, and as always please rate and feedback, thanks.
ajf43
Geometry: Trigonometry 9 - Trig Graphs (Amplitude and Period) + Matching Activity

Geometry: Trigonometry 9 - Trig Graphs (Amplitude and Period) + Matching Activity

This is designed to be the third lesson on trigonometric graphs looking at the amplitude and period as well as equivalent values. This comes with an excellent matching activity, as well as questions on the slides, excellent teaching material and examples throughout, lesson objectives, answers, a starter and a plenary. This lesson does come as a much larger bundle on teaching trigonometry, which I do highly recommend as the lessons does from a sequence and do build on each other. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.
ajf43
Geometry: Trigonometry 8 - Drawing basic trig graphs (+ Questions)

Geometry: Trigonometry 8 - Drawing basic trig graphs (+ Questions)

This is designed as a second lesson on trig graphs, building on the excellent spaghetti lesson 7... this with the previous lesson gives an excellent foundational understanding of trig graphs, which makes all other lesson much easier. This lesson goes into a lot of detail to explain different aspects, and so is content/ teacher heavy with 27 slides, but has lots of little activities and lots of custom animation. This is part of much larger bundle on trigonometry, which i highly recommend as the lessons are in sequence and do build on each other. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.
ajf43