# 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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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.

Bundle

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.

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

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]

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

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

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

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

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

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]

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.

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 free resource has handwritten notes for the first topic of the new Applications and Interpretations SL course, for first exams in 2021. There will be significant overlap with the A&A Topic 1, and this is a subset of A&I HL 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 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 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
Whole course notes are already complete for:
A&A SL
A&A HL

Handwritten notes on topic 5 that I did for my IB students:
5.1 - Basics
5.2 - Averages/Dispersion
5.3 - Cumulative Frequency
5.4 - Correlation
5.5 - Probability
5.6 - Combined Events
5.7 - Discrete Random Variables
5.8 - Binomial Distribution
5.9 - Normal Distribution
Includes all the instructions for the calculator processes for TI-84 and TI-nspire.
Plus: An A3 revision poster

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

Bundle

DISCLAIMER - This is now the old course, and for the notes for the new A&A SL course, click here
About 30 pages of neatly handwritten notes for the course for Maths Studies, as well as a revision checklist. You can download Topic 1 on its own for free if you want to take a look.
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 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]

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]