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.
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.
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 is the first lesson introducing the topic of Trigonometry. This lesson is about building an understanding of what trig is by doing various rich tasks and activities and starting to use SOHCAHTOA. This lesson is ready to go, with no prep required. It is also great for home learing. 23 slide presentation + extra resources.
The lesson comes with:
+ a Starter
+ Learning Objectives (differentiated)
+ keywords
+ superb teaching slides (offering a very detailed explanation)
+ lots of examples to follow
+ Embedded Activities
+ Questions (with answers)
+ Handout (to support student notes)
+ Worksheet (with answers)
+ Plenary.
ALL Geometry Lessons as one MEGA BIG BUNDLE are available from the links below:
Geometry: All Lessons
LASTLY:
This lesson is flat packed for copyright purposes
Please provide a RATING with written feedback
Please email outstandingresourceshelp@gmail.com if there are any issues.
The main part of this PowerPoint is 30 slides, it begins with the calculation and shape of the three Trig graphs, then introduces the four ways in which the graphs can be transformed f(x) = A sin B(x+C)+D. Each of the transformations are considered individually with examples, then each has three “state the function” questions for students to answer verbally (slides 14, 18 ,23, 27). Next, an example of a function with all four transformations is worked with steps in appropriate order. The main part of the slide show concludes with another statement of the “four-transformation form of equation”, and an example of the four resultant transformations are shown step by step.
Slides 32 -34 are graph drawing worksheets with answers appearing, for which masters are included as word documents since you may wish to use these for students practice work. Slide 35 is a table to complete with values for the given formulas each with 2 transformations, and slide 36 shows the 3 standard Excel drawn graphs.
Erica is struggling with many aspects of the A level mathematics course and needs help from your students. What you have here is 17 of her homeworks, each with mistakes in solutions which your students need to find, correct and explain where Erica has gone wrong. These are purely designed to generate discussion and to allow students to demonstrate their understanding, whilst also allowing them to show their own methods of solving problems. These are all based upon the new A level curriculum.
Erica makes mistakes; lots of mistakes. You have her homework on every topic covered in the first year of her A level mathematics course where she consistently makes mistakes. Your job, or more accurately, the students in your classes’ job is to correct Erica’s errors and explain where she’s gone wrong so that she doesn’t make the same mistakes again. These have gone down well in my classes and really encourage discussion about the mathematics and should embed a deeper understanding.
These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;
A complete set of notes for students
Model examples
Probing questions to test understanding
Class questions including answers
Individual whiteboard work
Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
Please leave a review as it will really help me to improve my resources
Trigonometry Addition rule, Double angles, Harmonic form and Small angles covers;
Understand and use double angle formulae
Use of formulae for sin(A ± B) , cos(A ± B) and tan(A ± B)
Understand geometrical proofs of these formulae
Understand and use expressions for a cos θ + b sin θ in the equivalent forms of rcos(θ±α) or rsin(θ±α)
Understand and use the standard small angle approximations of sine, cosine and tangent
* sinθ≈θ
* cosθ≈1-θ^2/2
* tanθ≈θ
where θ is in radians
Construct proofs involving trigonometric functions and identities
A comprehensive powerpoint that covers the topic of Further Trigonometry: Trigonometric Graphs. The Powerpoint models solutions to key questions in the topic, followed by questions for the students to do. The questions all have full working out and answers so students can identify where they have made mistakes.
The powerpoint has skill questions so students can understand the basics whilst also working towards mastering the topic.
Suitable for higher GCSE.
The download includes the full powerpoint and you are free to adapt it to suit your needs.
Topics included:
Trigonometric Graphs
Skill Questions:
Draw Trigonometric Graph
Find Coordinate On Trigonometric Graph
Use Graph to Find Solutions to y = sin x
Use Graph to Find Solutions to y = cos x
Use Graph to Find Solutions to y = tan x
These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;
A complete set of notes for students
Model examples
Probing questions to test understanding
Class questions including answers
Individual whiteboard work
Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘AS level maths 13 – Circles’ for free download
Trigonometry equations and identities covers;
Understand and use tanθ=sinθ/cosθ
Understand and use sin²θ+cos²θ=1
Solve simple trigonometric equations in a given interval, including quadratic equations in sin, cos and tan and equations involving multiples of the unknown angle
Two Powerpoints: Pure Maths (560 slides) and Statistics/Mechanics (270 slides).
Each presentation contains explanations, worked examples and questions for students to complete.
Our five GCSE maths grade 8/9 target packs on Algebra, Graphs, Number, Geometry and Statistics & Probability
Includes the following topics:
Algebra Rearranging Equations, Binomials, Algebraic Fractions, Algebraic Proof, Quadratics with x^2 coefficient greater than one, Quadratic and Geometric Sequences, Quadratic Inequalities, Simultaneous Equations involving Quadratics, Functions and Iterative Methods.
Number Recurring Fractions and Decimals, Surds, Indices, Bounds, Standard Form, Direct and Inverse Proportion, Compound Percentages, Percentage Change, Reverse Percentages.
Geometry Circle Theorems, Equations of a Circle, Congruence and Similarity, Arcs Sectors and Segments, Volume, Invariant Points, Englargement of Volume given Scale Factor, Sin and Cosine Rules, Exact Trigonometric Values, 3D Trigonometry, Vectors.
Graphs Coordinates, Equation of the Circle, Quadratic Graphs, Harder Graphs including Exponential and Cubic Graphs, Trigonometric Graphs, Transformations of Graphs, Gradients in Real Life Graphs, Velocity Time Graphs.
Statistic and Probability Combinations and Permutations, Stratified Sampling, Probability Problem Solving involving Algebra, Tree Diagrams, Conditional Probability, Venn Diagrams including Algebra and Set Notation, Histograms including Finding Averages and Probability from Histograms, Averages Problem Solving.
These PowerPoints form full lessons of work that together cover the new AS level Further Maths course for the AQA exam board. Together all the PowerPoints include;
• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions including answers
• Individual whiteboard work
• Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download
Please leave a review as it will really help me to improve my resources
These PowerPoints form full lessons of work that together cover the full A level Further Maths course for the AQA exam board. Together all the PowerPoints include;
• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions including answers
• Individual whiteboard work
• Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
Videos of the lessons are all on You Tube so you can see the PowerPoint lessons fully first
Please leave a review as it will really help me to improve my resources
These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;
• A complete set of notes for students
• Model examples
• Probing questions to test understanding
• Class questions including answers
• Individual whiteboard work
• Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook
The PowerPoints can be used in the lesson and also given to students that have missed a lesson
I have added ‘AS level maths 13 – Circles’ for free download
This bundle contains worksheets / revision sheets / homework sheets for further mathematics A-Level students.
Content included is:
Complex numbers
Differential equation
Further algebra and functions
Further calculus
Further vectors
Hyperbolic functions
Numerical methods
Polar coordinates
Proof
This bundle is now complete
Any feedback would be appreciated.
This is a whole lesson on learning how to Transform Trig Graphs and draw or name the transformation. This is the fourth lesson that I would teach on trig graphs and builds on an understanding of transforming functions, by looking at Transforming Trigonometric Graphs. This lesson is ready to go, with no prep required. It is also great for home learning. 18 slide presentation + resources.
The lesson includes:
a Starter (on angles and surds)
learning objectives (differentiated)
keywords
Excellent teaching slides
MWB activities
Lots of examples
a worksheet (with answers)
a handout (rules to learn – great for student notes)
Plenary
Geometry: All Lessons + All Resources
LASTLY:
This lesson is flat packed for copyright purposes
Please provide a RATING with written feedback
Please email outstandingresourceshelp@gmail.com if there are any issues.
A worksheet with plenty of areas of sectors and segments questions for students to try. Numerical answers are at the bottom. Let me know if you like it.
For the new A-Level Maths (2017) Spec
15 different questions on proving Trig identities
Including double angle formula proof questions
Good practise for anyone wanting more practise on Trig identities or using double angle formulas
Differentiation: Trig Functions Worksheet:
https://www.tes.com/teaching-resource/a-level-maths-2017-differentiating-trig-functions-12050276
Differentiation: Logs & Exponentials Worksheet:
https://www.tes.com/teaching-resource/a-level-maths-2017-differentiation-logs-and-exponentials-12046592
A worksheet of non-calculator trigonometry questions which practise the use of the exact values for sin, cos and tan of 0, 30, 45, 60 and 90 degrees. Includes finding other exact values, area of a triangle, cosine rule and solving trig. equations. Answers are included (and corrected from the earlier version).
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