Handwritten notes that I made for my HL students on Topic 6 in the IB - Calculus. It is one of the biggest and most important topics in the course, so despite being 20 pages long, these are concise, rich notes. (Note: This is just the regular Calculus section of the syllabus, not the option). It includes: 6.1 - Limits, First Principles, Equation of Tangent/Normal, Increasing/Dec. Regions, Higher Derivatives 6.2 - Derivative Rules, Chain/Product/Quotient Rules, Implicit Differentiation, Related Rates 6.3 - Stationary/Inflection Points, Applications of Differentiation 6.4 - Basic Integration Rules 6.5 - Definite Integrals, Area (x & y-axis), Volume 6.6 - Kinematics 6.7 - Integration By Parts/By Substitution 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.

Handwritten notes that I made for my HL students on Topic 4 in the IB - Vectors. These are 10 pages of concise, rich notes, with special attention given to the additional content in HL over the SL vectors topic (planes, cross product, etc). 4.1 - Basics 4.2 - Scalar Product 4.3 - Vector Equations 4.4 - Intersection Points of 2 Lines 4.5 - Vector/Cross Product 4.6 - Equations of Planes, Parametric, Cartesian 4.7 - Intersection of lines/planes, 3 planes, angles of lines/planes 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.

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.

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.

This resource has handwritten notes for the first topic of the recently changed Applications and Interpretations HL course. There will be significant overlap with the A&A Topic 1, and A&I SL Topic 1 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 have a look at this free download, 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 (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 - Rounding, Bounds, % Error 1.7 - Amortisation and Annuities 1.8 - Using Technology to Solve Equations 1.9 - Log Rules (AHL) 1.10 - Rational Exponents (AHL) 1.11 - Infinite Geometric Sequences (AHL) 1.12 - Complex Basics (AHL) 1.13 - Other Complex Forms (AHL) 1.14 - Matrix Basics (AHL) 1.15 - Eigenvalues/vectors (AHL) Whole course notes are already complete for: A&I SL A&A HL

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

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

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

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

DISCLAIMER - This is now the old course, and for the notes for the new HL course, click here Complete notes including notes on Topic 9, the Calculus Option 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 100 pages. For a preview of new notes for the 2020 syllabus, click here: https://www.tes.com/teaching-resource/ib-maths-a-and-a-sl-topic-1-algebra-notes-12099054 Topic 1 - Algebra - 21 Pages Topic 2 - Functions - 10 Pages Topic 3 - Trigonometry - 6 Pages Topic 4 - Vectors - 10 Pages Topic 5 - Statistics & Probability - 10 Pages Topic 6 - Calculus - 20 Pages Topic 9 - Calculus Option - 23 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.