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

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

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.

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

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.

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 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.

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 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!

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]

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]

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 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