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#### IB Maths HL - Complete Notes

Complete notes, without any option topics, just the main topics 1 to 6 This is a collection of all of the notes I have written for my IB Maths HL class. They are handwritten, concise notes, covering the whole course in 77 pages. Topic 1 - Algebra - 21 Pages Topic 2 - Functions - 10 Pages Topic 3 - Trigonometry - 6 Pages Topic 4 - Vectors - 10 Pages Topic 5 - Statistics &amp; Probability - 10 Pages Topic 6 - Calculus - 20 Pages If you would like to see what you would be getting, you can download Topic 1 of IB SL or IB Math Studies for free. I hope you enjoy, and please ‘follow’, as I will be uploading other IB resources soon.

#### Algebra for GCSE/IGCSE worksheets (with solutions)

A large collection of 24 worksheets (254 pages) on selected topics from algebra: Algebraic manipulation Substitution into formulae Simplifying expressions by collecting like terms Collecting like terms (expressions with different variables) Multiplying a single term over a bracket Expanding double brackets Factorisation Quadratic factorisation 9.Indices Rearranging formulae Inverse functions Composite functions Equation of a straight line Parallel and perpendicular lines Solving linear equations Solving quadratic equations by factorising Quadratic formula Completing the square and solving quadratic equations by com- pleting the square Simultaneous Equations -Elimination Simultaneous Equations -Substitution Simultaneous Equations One Linear, One Quadratic Linear inequalities Quadratic inequalities The nth term of linear and quadratic sequences Designed for the GCSE/IGCSE specification. Detailed solutions are included.

#### Differentiation Revision Notes 1

4 pages of concise revision notes on basic differentiation. This includes a table of various functions and their differentials, definitions, maxima and minima, chain rule, product rule and quotient rule. Links to useful resources are also added. Supplementary examples will be added in future, provided these notes are useful to students.

#### Set Theory PowerPoint and Handouts

An extensive introduction to Set Theory, generally aimed at Computer Science A Level students, A Level Mathematicians or first year Undergraduate students in either Computer Science or Mathematics. It is intended to cover two lessons, extra examples and discussion may be required if aiming at a lower ability. Includes: A simple starter to encourage discussion on how to categorise numbers, as well as how many there may be e.g. how many natural numbers are there? A handout featuring all definitions given in the PowerPoint A PowerPoint covering set notation, intersections, unions, set comprehension and set compression. More resources can be added upon request. Please do give feedback/suggestions!

#### Modelling with sine and cosine functions

Power Point presentation, 14 slides, Explaining how to find the a function to model a set of data from a periodical phenomena, based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser:

#### C4 A Level Summary

“cheat sheet” covering all C4 topics for CCEA ALevel. Use for revision classes/exercises as a guide or as a comfort blanket for a class test.

#### C3 A Level Summary

“cheat sheet” covering all C3 topics for CCEA A Level. Use for revision classes/exercises as a guide or as a comfort blanket for a class test.

#### Transformations of functions.

Two power point interactive presentations to teach transformations of functions using function notation and graphically. Hints on GDC shown. Suitable for IB HL Maths or any other course on fu nction transformations. Students get involved in class discussions to determine the correct answer.

#### Composite Function, Inverse Function, Modulus Function and Piecewise Function Worksheets Bundle 2

These are four worksheets for learning about piecewise defined functions. These worksheets should compliment our previous functions worksheets bundle. The worksheet covers questions (all functions can be piecewise) on composite, modulus and inverse functions. Detailed solutions with graph of piecewise functions are provided to each questions 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 [] ().

#### FP1

FP1 Module formula and revision notes.

#### Calculus Quiz - Integration by Alg Sub 2 - Algebraic Integrands w/ Solutions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Examinations/Quizzes This is the second quiz in the Integration by Algebraic Substitution series. These problems are dealing with integrals that have only algebraic integrands. Included is a separate set of very detailed step-by-step solutions.

#### Calculus Series Workbooks - Integration Techniques 1 - Antidifferentiation

This is the first in a series of Calculus workbooks on Integration Techniques. This workbook covers the concepts and applications of antidifferentiation, with problems graduated in difficulty and detailed solutions. Contents: Antidifferentiation Antidifferentiation Formulas Calculating Areas by Antidifferentiation Solving Differential Equations by Antidifferentiation Rectilinear Motion Objects Falling Under the Influence of Gravity Glossary &amp; Reference

#### C1 Graphs and Transformation

Self made questions about graphs and transformations for AQA A-Level Maths. Designed to be a little but harder and more strange than those seen in past paper exam questions. Does not come with marks scheme but will be easy to figure out the solutions.

#### Maths A level revision questions

This bundle includes question/answer files aimed at revising the topics from A level maths, and especially the Core 3 and Core 4 topics.

#### 9 GCSE/IGCSE Math worksheets (with solutions)

9 GCSE/IGCSE Math worksheets on the following topics: percentage increase and decrease, percentages, fractions and decimals, reverse percentage, functions, composite functions, domain of a function, inverse functions, simplifying algebraic fractions, equations with algebraic fractions. Detailed solutions are provided. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### 3 Worksheets on functions

Three worksheets on functions. The following topics are covered: domain of a function, composite functions and inverse functions. Detailed solutions are included. Good for GCSE/IGCSE students. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Composite functions worksheet (with solutions)

A worksheet on composite functions. Solutions are included. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### OLD SPEC EDEXCEL CORE 3 REVISION LESSONS BY TOPIC

The 4 classic areas that students tend to be intimidated by in Core 3: modulus, exponential modelling, differentiation and reciprocated trig functions. Go through the powerpoints at the board and model the answers. Then give students the relevant worksheet (many differentiated) and let them work through. Answers not supplied throughout

#### Domain, range and inverse of a function for A level students.

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

#### Chain rule worksheets (with answers)

Three worksheets on differentiating using the chain rule. Good for A' Level students. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Derivatives of trigonometric functions worksheet (with solutions)

A worksheet on derivatives of sine, cosine, tangent, cotangent, secant and cosecant and the chain rule. Detailed solutions are included. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Core 3: Integration Hard

A selection of questions 1-9 of very hard integration questions for AQA A-Level Maths Core 3. These questions are a definite stretch from those given in past papers and will definitely prepare students for the worst questions, ready for the exams.

#### Functions lesson with differentiated worksheet

A lesson on functions along with exam questions, differentiated questions and answers, assessment opportunities and a more complex differentiated worksheet aimed at challenging the SOMA/higher ability students. Covers substituting into basic and complex functions, solving linear, quadratic and algebraic functions and composite functions. Really great resource.

#### IB Maths HL - Topic 2 Functions - Notes

Handwritten notes that I made for my HL students on Topic 2 in the IB - Functions. It includes: 2.1 - Concepts (Domain, range, composite, inverse, domain restriction, odd/even functions) 2.2 - Graph Features (Intercepts, asymptotes, absolute value graphs) 2.3 - Transformations 2.4 - Rational, Log, Exp. graphs 2.5 - Polynomials (+ factor and remainder theorem) 2.6 - Quadratics (+ sum and product of roots for quad. and poly.) 2.7 - Inequalities If you are an HL teacher (or student) and you found these helpful, please 'follow' me, then you will see as soon as I get around to uploading the remaining topics of the HL course (Feb/March/April 2018).

#### Algebra: Cubic Graphs & Factor Theorem (+ resources) - perfect for higher tier & AS level

This is a whole lesson. 20 slides + resources. It starts looking at drawing cubic graphs, before quickly moving on to looking at sketching them and developing the understanding and skills to do so. It looks at working out the key points needed and using the factor theorem and factorising in order to do so. The lesson comes with a starter, several little MWB activities, worksheet, excellent teaching slides, a handout of all the different graphs and plenary. NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!

#### Can you crack the code? Further maths revision challenge - perfect for new spec problem solving

For these lessons, I have a wooden box which I fill full of goodies (fruits, sweets etc). I then have a large metal chain wrapped around the box with a colourful padlock on (all of which builds the tension...). The aim is for the students to work away in pairs to crack the code! If you don't want to purchase the box etc, the worksheet works perfectly well on it's own. Note: the solution for this worksheet is 6452. This worksheet is a real challenge for your KS5 students - perfect for the new A Level demands.

#### Domain of a function- Inverse function worksheets (with detailed solutions)

Two worksheets on finding the domain and the inverse function of a given function. Detailed solutions are included. From https://placeformath.blogspot.com.cy/

#### Graph symmetry introduction to odd/even functions and graphs of inverses

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.

#### One Variable Equation / Linear Equation Lesson Ppt

These are the lessons plans and power points for one variable / linear equations. One variable is a more suitable description, as the lessons eventually leads to some very demanding multi (5+) steps, repeated fraction questions, as well as questions where the unknown initially appears on both sides. Students are first introduced to the basic principles of algebra which stealthily guides all that they do. Then they apply that knowledge to learn strategies to solve one variable equations. There are three lessons, and should be taught in that order. The bundle contains both the lesson presentations with 'overlay animations', where steps are reviewed one at a time. There is also an accompanying presenter view pdf for teachers for each lesson ppt. The documents are prepared meticulously with LaTeX, I hope you find these useful. In addition, you can get unlimited number of high quality practice questions and solutions for linear equations on my website: www.onemathsquestions.com You can generate the worksheets yourself, and each question will come with a set of very detailed step by step solutions, set out in exactly the same way as the lesson presentation examples. PS: Any comments or suggestions are very welcome, through TES or my website. In addition, if you need a particular type of question, you can ask me to make them for you (for free), sometimes I may just do it for you! Best wishes, Joe

#### Differentiation

16 Powerpoints presentation for the following topics: Limits and convergence Basic rules for derivative The equations of tangent and normal lines Basic rules of derivatives The derivative of e^x and the derivative of ln x The product rule The quotient rule The chain rule for composite functions The second derivative and higher order derivatives Rate of change Velocity and acceleration functions Relative and global extrema Concavity Sketching a graph Optimisation problems

#### Remainder Theorem and Factor Theorem Worksheets

These are three tiered worksheets on the remainder theorem and the factor theorem, starts off very basic, and ending with problem solving questions. Detailed typed answers are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

#### Quadratic Cubic Quartic and Quintic Graph Sketching Questions

These are graph sketching questions on quadratic, cubic, quartic and quintic graphs. Each question comes with detailed solution as well as an actual graph plot, suitable for practicing graph sketching for the new A-level Maths specs. 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

#### Partial Fraction Questions

These are tiered worksheets on partial fractions. Detailed typed answers are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

#### Modulus Function

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.

#### Function inverses multiple choice misconception quiz

Find the correct inverse of the displayed function from the four choices. Only one is ever correct, and the others are designed to find misconceptions. Slides are timed and move on automatically. It is deliberately similar to a Kahoot quiz, as I can't figure our how to display decent mathematical notation on there, but like the way it is done generally. Answers included at the end.

#### 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.

#### 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

#### Successive Transformation of Functions Worksheets

These are question sheets and solution sheets for questions on successive transformation of cubic functions (as example). The first worksheet questions have two successive transformations, and the second has four successive transformations. The solution sheets are very detailed in that it sketches each transformation change, together with tracking of image of specific points required. We hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com