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Handwritten notes on IB DP mathematics - from an experienced IB maths teacher

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Handwritten notes on IB DP mathematics - from an experienced IB maths teacher
IB Maths SL - Topic 2 Functions - Notes
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IB Maths SL - Topic 2 Functions - Notes

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Handwritten notes I made for my IB students: 2.1 - Concepts 2.2 - Graph Features 2.3 - Transformations 2.4 - Quadratics 2.5 - Rationals 2.6 - Exponential/Log Graphs Plus: An A3 revision poster
IB Maths AA SL - Topic 3 Trig Notes
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IB Maths AA SL - Topic 3 Trig Notes

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These are handwritten notes for the third topic of the new Analysis & Approaches SL course, for first exams in 2021. The HL course will contain this content, with some additional trigonometry and vectors subtopics. There will also be significant overlap with the A&I Topic 3. 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 remainder of the notes 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: 3.1 - Basics, 3D Geometry 3.2 - Triangles 3.3 - Trig Applications 3.4 - Radians, Sectors, Arcs 3.5 - Unit Circle, exact values of sin&cos 3.6 - Identities 3.7 - Trig Graphs and Transformations 3.8 - Solving Trig Equations
IB Maths SL - Topic 4 Vectors - Notes
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IB Maths SL - Topic 4 Vectors - Notes

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Handwritten notes on topic 4 that I did for my IB students: 4.1 - Vector Basics 4.2 - Scalar Product, angle, parallel/perp. 4.3 - Vector Equations 4.4 - Intersection Points Plus: An A3 revision poster
IB Maths SL - Topic 3 Trigonometry - Notes
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IB Maths SL - Topic 3 Trigonometry - Notes

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Handwritten notes on topic 3 that I did for my IB students: 3.1 - Arc/Sector 3.2 - Unit Circle 3.3 - Identities 3.4 - Graphs 3.5 - Solving Trig Equations 3.6 - Sine/Cosine Rule Plus: An A3 revision poster
IB Maths AI SL - Topic 2 Functions Notes
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IB Maths AI SL - Topic 2 Functions Notes

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This resource has handwritten notes for the second topic of the new Applications and Interpretations SL course, for first exams in 2021. There will be significant overlap with the A&A Topic 2, and this is a subset of A&I HL Topic 2. I wrote and sold notes for the current 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 My hope is that if these notes seem helpful, please ‘follow’ my shop, so you will be notified when the remainder of the notes become available. Please let me know if you have any feedback or improvements that could be made. This topic includes: 2.1 - Linear Functions 2.2 - Functions Basics 2.3 - Graph Features 2.4 - Finding Graph Features 2.5 - Types of Function 2.6 - Modelling Whole course notes are already complete for: A&A SL A&A HL
IB Maths SL - Topic 6 Calculus - Notes
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IB Maths SL - Topic 6 Calculus - Notes

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Handwritten notes on topic 6 (calculus) that I did for my IB students: - Fundamentals - Basic differentiation rules - Chain/product/quotient rules - Finding gradients - Finding tangent/normal eq. - Finding turning points/inflection points - Kinematics - Basic integration rules - Integration by substitution - Area under curve - Volume within rotated curve There is a pdf of the whole thing, plus: An A3 revision poster
IB Maths AI SL - Topic 4 Stats Notes
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IB Maths AI SL - Topic 4 Stats Notes

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This resource has handwritten notes for the fourth topic of the new Applications and Interpretations SL course (statistics and probability), for first exams in 2021. There will be significant overlap with the A&A Topic 4, and this is a subset of A&I HL Topic 4. I wrote and sold notes for the current 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 course for free My hope is that if these notes seem helpful, please ‘follow’ my shop, so you will be notified when the remainder of the notes become available. Please let me know if you have any feedback or improvements that could be made. This topic includes: 4.1 - Basics 4.2 - Presentation of Data 4.3 - Averages, Dispersion 4.4 - Regression, Correlation 4.5 - Probability Basics 4.6 - Venns, Trees, Combined Probability 4.7 - Discrete Random Variables 4.8 - Binomial Distribution 4.9 - Normal Distribution 4.10 - Spearman’s Rank 4.11 - Statistical Testing Whole course notes are already complete for: A&A SL A&A HL
IB Maths AI SL - Topic 5 Calculus Notes
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IB Maths AI SL - Topic 5 Calculus Notes

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This resource has handwritten notes for the fifth and final topic of the new Applications and Interpretations SL course (calculus), for first exams in 2021. There will be significant overlap with the A&A Topic 5, and this is a subset of A&I HL Topic 5. I wrote and sold notes for the current 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 course for free My hope is that if these notes seem helpful, please ‘follow’ my shop, so you will be notified when the remainder of the notes become available. 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 - Turning Points 5.7 - Optimisation 5.8 - Trapezoidal Rule
IB Maths AA SL - Topic 5 Calculus Notes
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IB Maths AA SL - Topic 5 Calculus Notes

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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
IB Maths AI SL - Topic 3 Geometry Notes
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IB Maths AI SL - Topic 3 Geometry Notes

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This resource has handwritten notes for the third topic of the new Applications and Interpretations SL course (trigonometry and geometry), for first exams in 2021. There will be significant overlap with the A&A Topic 3, and this is a subset of A&I HL Topic 3. I wrote and sold notes for the current 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 My hope is that if these notes seem helpful, please ‘follow’ my shop, so you will be notified when the remainder of the notes become available. Please let me know if you have any feedback or improvements that could be made. This topic includes: 3.1 - Basics, 3D Geometry 3.2 - Triangles 3.3 - Trig Applications 3.4 - Sectors, Arcs (No radians) 3.5 - Perpendicular Bisectors 3.6 - Voronoi Diagrams Whole course notes are already complete for: A&A SL A&A HL
A-Level Maths - Core 1 - Complete Notes
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A-Level Maths - Core 1 - Complete Notes

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10 pages of neatly handwritten notes on the whole syllabus of Pure Core 1 (AQA). I usually use these to give to my students if they struggle to take notes and concentrate at the same time. It also acts as a handy detailed syllabus/plan of study, as well as just a revision tool for students: Sections of the notes: 1 - Straight Lines 2 - Quadratics 3 - Surds 4 - Simultaneous Equations 5 - Inequalities 6 - Algebraic Division 7 - Cubic Graphs 8 - Circles 9 - Differentiation 10 - Integration * - With 2 pages of worked exam solutions to go with regular examples throughout. Please have a look at some of my free IB notes if you would like to see the style of notes I am offering here. Hopefully there are none, but please let me know if you do see any errors! Also, let me know if there is any interest in other A-Level modules!
IB Maths SL - A3 Posters: Topic by Topic
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IB Maths SL - A3 Posters: Topic by Topic

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Six handwritten A3 posters that each contain one of the six topics that make up the course for IB Maths SL. Posters: 1 - Algebra - Logs, Sequences, Binomial Expansion 2 - Functions - Basics, Quadratics, Transformations, etc 3 - Trigonometry - Unit Circle, Arc/Sector, Trig Graphs, Identities, Triangles 4 - Vectors - Basics, Scalar Product, Angles, Vector Eq, Intersections 5 - Statistics - Basics, Probability Formulae, Averages/Dispersion, C.F., D.R.V., Normal & Binom. Distributions 6 - Calculus - Differentiation, Tangent/Normal, Turning/Inflection Points, Integration, Area/Vol., Kinematics This has been helpful for me to put up on the walls of my classroom, as well as just to give to the students individually. The content is all there, with examples included in the topics that are less dense than others. I hope these are useful! Please follow and/or message me if you have any suggestions/requests/errors spotted. And please review if you have time!
IB Maths AA HL - Topic 5 Calculus Notes
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IB Maths AA HL - Topic 5 Calculus Notes

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These are handwritten notes for the fifth topic of the new Analysis & Approaches HL course, for first exams in 2021. This has the 11 subtopics that are included in SL, plus an additional 8 subtopics for HL. 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 other notes become available over the next few months. Please let me know if you have any feedback or improvements that could be made. 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 5.12 - More fundamentals [AHL] 5.13 - L’Hôpital’s rule [AHL] 5.14 - Further differentiation [AHL] 5.15 - More given derivatives [AHL] 5.16 - More integration methods [AHL] 5.17 - Volume of revolution [AHL] 5.18 - Differential equations [AHL] 5.19 - Maclaurin Series [AHL]
IB Maths AA HL - Topic 1 Algebra Notes
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IB Maths AA HL - Topic 1 Algebra Notes

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This resource has handwritten notes for the first topic of the new Analysis and Approaches HL course, for first exams in 2021. This has the 9 subtopics that are included in SL, plus an additional 7 subtopics for HL. There will also be significant overlap with the A&I Topic 1. I wrote and sold notes for the current IB courses, which have been fairly successful, so I am in the process of writing notes for the new courses, from scratch. My hope is that if you like this resource, please ‘follow’ my shop, so you will be notified when the remainder of the notes become available over the next few months. Please let me know if you have any feedback or improvements that could be made. This topic (algebra) includes: 1.1 - Standard Form/Scientific Notation 1.2 - Arithmetic Sequences 1.3 - Geometric Sequences 1.4 - Compound Interest 1.5 - Exponents and Logs Intro 1.6 - Simple Deductive Proofs 1.7 - More Logarithms 1.8 - Infinite Geometric Series 1.9 - Binomial Theorem 1.10 - Combinatorics [AHL] 1.11 - Partial Fractions [AHL] 1.12 - Intro to Complex Numbers [AHL] 1.13 - Other Complex Forms [AHL] 1.14 - Roots, De Moivre’s Thm. [AHL] 1.15 - More Proof Types [AHL] 1.16 - Solving Systems of 3 Eqs. [AHL]
IB Maths AA HL - Topic 2 Functions Notes
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IB Maths AA HL - Topic 2 Functions Notes

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These are handwritten notes for the second topic of the new Analysis & Approaches HL course, for first exams in 2021. This has the 11 subtopics that are included in SL, plus an additional 5 subtopics for HL. There will also be significant overlap with the A&I Topic 2. 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. My hope is that if you like this resource, please ‘follow’ my shop, so you will be notified when the remainder of the notes 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: 2.1 - Linear Functions 2.2 - Functions Basics 2.3 - Graph Features 2.4 - Finding Graph Features 2.5 - Composite/Inverse 2.6 - Forms of Quadratics 2.7 - Roots of Quadratics 2.8 - Rational Functions 2.9 - Exponential/Log Functions 2.10 - Solving Equations 2.11 - Transformations 2.12 - Polynomials [AHL] 2.13 - Rational Functions [AHL] 2.14 - Odd/Even Functions and more [AHL] 2.15 - Solving Inequalities [AHL] 2.16 - Absolute Value Graphs, and Reciprocal Graphs [AHL]
IB Maths AA HL - Topic 3 Trig Notes
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IB Maths AA HL - Topic 3 Trig Notes

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These are handwritten notes for the third topic of the new Analysis & Approaches HL course, for first exams in 2021. This has the 8 subtopics that are included in SL, plus an additional 10 subtopics for HL. There will also be significant overlap with the A&I Topic 3. 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 remainder of the notes 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: 3.1 - Basics, 3D Geometry 3.2 - Triangles 3.3 - Trig Applications 3.4 - Radians, Sectors, Arcs 3.5 - Unit Circle, exact values of sin&cos 3.6 - Identities 3.7 - Trig Graphs and Transformations 3.8 - Solving Trig Equations 3.9 - Reciprocal ratios [AHL] 3.10 - Compound Angle Formulae [AHL] 3.11 - Trig relationships & symmetry [AHL] 3.12 - Vector basics [AHL] 3.13 - Scalar product, angles [AHL] 3.14 - Vector equations of lines [AHL] 3.15 - Intersecting lines [AHL] 3.16 - Vector product [AHL] 3.17 - Planes [AHL] 3.18 - Intersecting planes [AHL]
IB Maths HL - Topic 2 Functions - Notes
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IB Maths HL - Topic 2 Functions - Notes

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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).
IB Maths AA HL - Topic 4 Stats Notes
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IB Maths AA HL - Topic 4 Stats Notes

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These are handwritten notes for the fourth topic of the new Analysis & Approaches HL course, for first exams in 2021. This has the 12 subtopics that are included in SL, plus an additional 2 subtopics for HL. There will also be significant overlap with the A&I Topic 4. 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 remainder of the notes become available over the next few months. Please let me know if you have any feedback or improvements that could be made. 4.1 - Basics 4.2 - Presentation of Data 4.3 - Averages, Dispersion 4.4 - Regression, Correlation 4.5 - Probability Basics 4.6 - Venns, Trees, Combined Probability 4.7 - Discrete Random Variables 4.8 - Binomial Distribution 4.9 - Normal Distribution 4.10 - x-on-y regression 4.11 - Conditional independence 4.12 - Z-dist., standardisation 4.13 - Bayes’ Theorem [AHL] 4.14 - Continuous Random Variables [AHL]
IB Maths HL - Topic 3 Trigonometry - Notes
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IB Maths HL - Topic 3 Trigonometry - Notes

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Handwritten notes that I made for my HL students on Topic 3 in the IB - Trigonometry & Circular Functions. It includes: 3.1 - Area of sector, arc length, radians 3.2 - Unit circle, exact values, tan=sin/cos, sec/cosec/cot, pythagorean identities 3.3 - Compound angle, double angle formulae (with derivation of both) 3.4 - Graphs of sin/cos/tan, rules for all transformations of these 3.5 - Inverse trig functions, their graphs, their domains/ranges 3.6 - Solving trig equations, proving identities, simplifying trig expressions 3.7 - Triangle rules, sine/cosine/area rules 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).
IB Maths HL - Topic 1 Algebra - Notes
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IB Maths HL - Topic 1 Algebra - Notes

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Handwritten notes that I made for my HL students on Topic 1 of Algebra in the IB. It includes: 1.1 - Sequences & Series 1.2 - Exponents and Logs 1.3 - Binomial Expansion & Permutations/Combinations 1.4 - Proof by Induction 1.5 - Complex Numbers 1.6 - Complex (Polar Form) 1.7 - De Moivre's Theorem/Euler's Theorem 1.8 - Complex Conjugate Roots of Polynomials 1.9 - Solving Systems of Equations with 3 variables 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).