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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 AI HL - Topic 5 Calculus Notes
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IB Maths AI HL - Topic 5 Calculus Notes

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This resource has handwritten notes for the fifth topic of the recently changed Applications and Interpretations HL course. There will be significant overlap with the A&A Topic 5, and A&I SL Topic 5 is a subset of this HL topic. The other three courses have been available for a while, and I have only just been able to get A&I HL written, in time for the 2023 May exams. My hope is that you will take a look at this resources, and if it seems like it would be helpful, 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 (calculus) 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 5.9 - Differentiation Rules 5.10 - Second Derivatives 5.11 - Integration Methods 5.12 - Area & Volume 5.13 - Kinematics 5.14 - Separable Diff. Eqs. 5.15 - Slope Fields 5.16 - Euler’s Method 5.17 - Phase Portraits & Coupled Systems 5.18 - Second Order Whole course notes are already complete for: A&I SL A&A HL
IB Maths AI HL - Topic 4 Stats Notes
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IB Maths AI HL - Topic 4 Stats Notes

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This resource has handwritten notes for the fourth topic of the recently changed Applications and Interpretations HL course. There will be significant overlap with the A&A Topic 4, and A&I SL Topic 4 is a subset of this HL topic. The other three courses have been available for a while, and I have only just been able to get A&I HL written, in time for the 2023 May exams. My hope is that you will take a look at this resources, and if it seems like it would be helpful, 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 (statistics & probability) 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 4.12 - Reliability & Validity (HL) 4.13 - Non-Linear Regression (HL) 4.14 - Random Variable Transformations (HL) 4.15 - Central Limit Theorem (HL) 4.16 - Confidence Intervals (HL) 4.17 - Poisson Distributions (HL) 4.18 - Hypothesis Testing (HL) Whole course notes are already complete for: A&I SL A&A HL
IB Maths AI HL - Topic 3 Trig Notes
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IB Maths AI HL - Topic 3 Trig Notes

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This resource has handwritten notes for the third topic of the recently changed Applications and Interpretations HL course. There will be significant overlap with the A&A Topic 3, and A&I SL Topic 3 is a subset of this HL topic. The other three courses have been available for a while, and I have only just been able to get A&I HL written, in time for the 2023 May exams. My hope is that you will take a look at this resources, and if it seems like it would be helpful, 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 (trigonometry & geometry) 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 3.7 - Radians, Arcs, Sectors (HL) 3.8 - Unit Circle & Identities (HL) 3.9 - Matrix Transformations (HL) 3.10 - Vector Basics (HL) 3.11 - Vector Equations of Lines (HL) 3.12 - Vector Kinematics (HL) 3.13 - Multiplication with Vectors (HL) 3.14 - Intro to Graph Theory (HL) 3.15 - Adjacency Matrices & Walks (HL) 3.16 - Routes & Algorithms (HL) Whole course notes are already complete for: A&I SL A&A HL
IB Maths AI HL - Topic 2 Functions Notes
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IB Maths AI HL - Topic 2 Functions Notes

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This resource has handwritten notes for the second topic of the recently changed Applications and Interpretations HL course. There will be significant overlap with the A&A Topic 2, and A&I SL Topic 2 is a subset of this HL topic. The other three courses have been available for a while, and I have only just been able to get A&I HL written, in time for the 2023 May exams. My hope is that you will take a look at this resources, and if it seems like it would be helpful, 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 (functions) 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 2.7 - Composite/Inverse Functions 2.8 - Graph Transformations 2.9 - Further Modelling 2.10 - Log Graphs Whole course notes are already complete for: A&I SL A&A HL
IB Maths AI HL - Complete Notes
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IB Maths AI HL - Complete Notes

5 Resources
If you want a preview, try the first (SL) topic of the new course for free Handwritten notes on the recently changed syllabus for IBDP Maths for first exams in 2021 - this is the Applications and Interpretation HL course (A&I HL / AIHL). It is 112 pages long - 19 on Algebra, 16 on Functions, 26 on Trig/Geometry, 28 on Stats/Probability, 23 on Calculus. So it is far more concise than the ~1000 pages of an HL textbook. It is split into 5 topics, which all have the SL content within them as a subset. There will also be significant overlap with the Analysis & Approaches course. This is the final course of the four that we have in this shop, finished in time for the 2023 May exams. It contains many concepts not touched by the old core courses at all, like graph theory, voronoi diagrams, matrices, phase portraits, etc. TOPICS: 1 - Algebra 2 - Functions 3 - Trigonometry and Geometry 4 - Statistics and Probability 5 - Calculus Please ‘follow’ my shop, so you will be notified when other notes become available in the future. Please let me know if you have any feedback or improvements that could be made.
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 HL - Topic 5 Statistics - Notes
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IB Maths HL - Topic 5 Statistics - Notes

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Handwritten notes that I made for my HL students on Topic 5 in the IB - Statistics & Probability. These are 10 pages of concise, rich notes, with attention given to the additional content in HL over the SL stats topic (continuous random variables, prob. density functions, poisson distribution). 5.1 - Presentation of Data 5.2 - Probability I 5.3 - Probability II 5.4 - Conditional Probability 5.5 - Discrete random variables, continuous random variables, prob. density functions 5.6 - Binomial distribution, Poisson distribution 5.7 - Normal distribution 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.
IB Maths HL - Topic 9 Calculus (Option) - Notes
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IB Maths HL - Topic 9 Calculus (Option) - Notes

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Handwritten notes that I made for my HL students on the Calculus Option (topic 9) in the IB. These are 23 pages of concise, rich notes, that clarify some of the more complicated aspects of this topic such as Rolle’s theorem or homogeneous differential equations. I use these to inform my teaching, to tell me what I need to cover next, as well as giving the notes to my students so that they can listen properly instead of frantically copying things down from the board. Subtopics: 9.1 - Limits, Squeeze Thm., L’Hôpital’s Rule, Improper Integrals 9.2 - Series and Convergence tests 9.3 - Power Series, Taylor/Maclaurin Series, Error Bounds 9.4 - Continuity, Differentiability, Rolle’s Thm., Mean Value Theorem, Reimann Sums 9.5 - Differential Equations, Separable, Linear, Homogeneous, Euler’s Method, Slope Fields If you are an HL teacher (or student) and you found these helpful, please ‘follow’ me, then you will see as soon as additional content for the HL course.
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 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
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 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 AI SL - Complete Notes
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IB Maths AI SL - Complete Notes

5 Resources
Handwritten notes on the new syllabus for IBDP Maths for 2021 - Applications and Interpretations SL (A&I SL). It is 52 pages - 8 on Algebra, 10 on Functions, 8 on Trig, 17 on Statistics, 9 on Calculus. Each topic is carefully organised, with the subtopic numbers very clearly marked on each page, related to the exact numbers given in the official syllabus document. The first topic is available for free here, if you want to give it a preview before buying the whole thing. I have also finished the A&A SL & HL notes as well.