# 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

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.

This free resource has handwritten notes for the first topic of the new Analysis and Approaches SL course, for first exams in 2020. The HL course will contain this content, with some additional Algebra subtopics. 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 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 - Simple Deductive Proofs
1.7 - More Logarithms
1.8 - Infinite Geometric Series
1.9 - Binomial Theorem
Topic 2 is available here:

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 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.

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]

Handwritten notes I made for my IB students:
- Basic power rule of differentiation
- Finding gradients
- Increasing/decreasing functions
- Stationary points
- Optimisation

Handwritten notes that I made for my IB students:
- Straight lines y=mx+c
- SOHCAHTOA
- Sine/cosine/area rules
- 3D Trig
- Volume/Surface Area

Handwritten notes I made for my IB students:
- Data Classification
- Frequency Tables
- Grouped Frequency
- Box Plots
- Cumulative Frequency
- Central Tendency
- Dispersion

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

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

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 on topic 4 that I did for my IB students:
4.1 - Vector Basics
4.2 - Scalar Product, angle, parallel/perp.
4.3 - Vector Equations
4.4 - Intersection Points
Plus: An A3 revision poster

Handwritten Maths Studies notes that I wrote for my students:
- Correlation/regression
- Chi-squared testing
- Normal Distribution

Handwritten notes that I made for my HL students on Topic 3 in the IB - Trigonometry & Circular Functions. It includes:
3.1 - Area of sector, arc length, radians
3.2 - Unit circle, exact values, tan=sin/cos, sec/cosec/cot, pythagorean identities
3.3 - Compound angle, double angle formulae (with derivation of both)
3.4 - Graphs of sin/cos/tan, rules for all transformations of these
3.5 - Inverse trig functions, their graphs, their domains/ranges
3.6 - Solving trig equations, proving identities, simplifying trig expressions
3.7 - Triangle rules, sine/cosine/area rules
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).

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!

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 I made for my IB students:
2.1 - Concepts
2.2 - Graph Features
2.3 - Transformations
2.4 - Quadratics
2.5 - Rationals
2.6 - Exponential/Log Graphs
Plus: An A3 revision poster

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 I made for my IB students:
- Basics of linear functions
- Quadratics
- Exponentials
- Higher powers
- Intersections

Handwritten notes I made for my IB students:
- Compound Statements
- Truth Tables
- Conditional Statements
- Sets
- Probability