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
Handwritten notes I made for my IB students:
- Basic power rule of differentiation
- Finding gradients
- Increasing/decreasing functions
- Stationary points
- Optimisation
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 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 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 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 that I made for my HL students on Topic 2 in the IB - Functions. It includes:
2.1 - Concepts (Domain, range, composite, inverse, domain restriction, odd/even functions)
2.2 - Graph Features (Intercepts, asymptotes, absolute value graphs)
2.3 - Transformations
2.4 - Rational, Log, Exp. graphs
2.5 - Polynomials (+ factor and remainder theorem)
2.6 - Quadratics (+ sum and product of roots for quad. and poly.)
2.7 - Inequalities
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 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.
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: