# 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

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Handwritten notes on the new syllabus for IBDP Maths for 2021 - Analysis & Approaches SL (AA SL). It is 59 pages - 11 on Algebra, 12 on Functions, 8 on Trig, 14 on Statistics, 14 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 now finished the A&A HL notes as well, and will now be working on A&I SL notes.

Bundle

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.

Bundle

If you want a preview, try the first (SL) topic of the new course for free
Handwritten notes on the new syllabus for IBDP Math for 2021 - Analysis & Approaches HL (A&A HL). It is 111 pages - 24 on Algebra, 19 on Functions, 22 on Trigonometry, 16 on Statistics, 30 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. There will also be significant overlap with the Applications and Interpretations course. 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.
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 over the next few months. Please let me know if you have any feedback or improvements that could be made.

Bundle

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 worksheet that covers the three rules of:
Vertically opposite angles
Corresponding (F) angles
Alternate (Z) angles

First worksheet is a revision on the area of circles, in preparation for the cylinder volume sheet.
Differentiated - easy, medium, hard

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]

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

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

A worksheet, 2 pages, covering the area of parallelograms, then the area of trapezia.
Differentiated - easy, medium, hard

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 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

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

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

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 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 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]

These are handwritten notes for the fourth topic of the new Analysis & Approaches SL course, for first exams in 2021. The HL course will contain this content, with some additional statistics subtopics. 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.
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 - x-on-y regression
4.11 - Conditional independence
4.12 - Z-dist., standardisation

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

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!