# mrmacmaths

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

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

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).

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.

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.

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

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.

Bundle

DISCLAIMER - This is now the old course, and for the notes for the new A&A SL course, click here
Complete neatly handwritten notes for the whole course of IB Mathematics SL, as well as a revision checklist. The first topic alone is free, if you would like to see what it’s like.
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

These are handwritten notes for the second topic of the new Analysis & Approaches SL course, for first exams in 2021. The HL course will contain this content, with some additional Functions subtopics. 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.
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:
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

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]

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]

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

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

4 Pythagoras worksheets, which cover the progression from finding just the length of the hypotenuse, through finding the shorter sides, to vector problems, to worded problems, to 3D problems, and finally 3D worded problems.
All are differentiated, and get progressively harder.
For example, the first sheet ends with a question where they have to think of Pythagorean Triples, something which can keep those smart kids occupied for a while!

Checklist for the whole course

Checklist for all the things (within reason) to know before the exam

Handwritten notes I made for my IB students:
- Number Sets
- Approximation/Error
- Standard Form
- SI Units
- Currency Conversion
- GDC Use
- Sequences
- Compound Interest

Two worksheets covering finding angles in parallelograms, kites and trapezia.
Uses the rules of opposite similar angles in a parallelogram, the set of opposite similar angles in a kite and the allied angles in a trapezium.
All of which are related to the parallel angle rules.