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IB Maths Applications and Interpretation: Chapter 1 - Measuring Space
This PowerPoint follows the entire content for Chapter 1 of the Oxford textbook. Certain topics included are not in chapter 1 but builds on the skills students are currently learning in the chapter and will be useful later on. For example, for the simplifying indices topic I go a little further into writing indices in non-fractional form which is useful for when you teach derivatives. Conent covered through the PowerPoint include:
Measurements and Estimates
Rounding and Significant Figures
Upper and Lower Bounds
Measurement Error
Percentage Error
Basic Exponent Rules
* changing bases
* writing in non-fractional form
Standard form (scientific notation)
Right angle trigonometry
* Pythagoras
* proving right angle triangles
* algebraic problems
* SOH-CAH-TOA
* elevation and depression
* problems involving circles
* 3D problems
* problems involving special quadrilaterals
* angles between lines and planes
Arc Length
Throughout the PowerPoint you will find GeoGebra links (click the icon) as well as Past Paper questions. There are also worked examples and exercises for students to complete throughout the lesson.
IB Maths Applications and Interpretation SL: Chapter 11 - Trigonometric Functions
This unit contains a Powerpoint which goes through the following:
-periodic functions
-sine, cosine, and tangent curves
-transformations of sinusoidal functions
-sketching
-finding equations
-modeling questions
Through the PowerPoint there are links to Youtube videos, GeoGebra and Desmos interactives. The PowerPoint has worked examples, and student exercises. I have also put in past paper exam questions for each topic.
IB Maths Applications and Interpretation SL: Chapter 12 - Differential Calculus
This unit contains 2 Powerpoints:
Differentiation
Optimisation
Through the PowerPoint there are links to Youtube videos, GeoGebra and Desmos interactives. The PowerPoint has worked examples, and student exercises. I have also put in past paper exam questions for each topic.
I have also included a worksheet with solutions.
Angry Birds: Quadratics Project
Here is a great activity to do as a group, pairs or individually. I haven’t created it but wanted to share it with others. This activity looks at quadratics given in different forms; table of values, graphically, in words, and in standard form. The idea is to see which birds hit the pigs. There are 5 versions of this activity which is great. Students don’t need to know about vertex form (completing the square) for this activity, but do need to understand that the axis of symmetry is half way between the roots.
IB analysis and approaches SL - Chapter 1 - Sequences and Series
This PowerPoint follows the entire content for Chapter 1 of the Oxford textbook. PowerPoints have worked examples as well as extra practice questions for students to do in class. I have pulled together questions and examples from various resources. Each PowerPoint as contains past IB exam questions for students to get familiar with the style of questioning. Content covered through the PowerPoints include:
arithmetic sequences and series
geometric sequences and series
sigma notation
compound interest
binomial theorem
proofs
IB Maths Applications and Interpretation SL: Jeopardy Revision Game
The following activity is a great way to spend last couple days revising.
The game has all the music and sounds like the real game.
Trigonometry - Tree Measuring
The following activity will allow students to use their knowledge on trigonometry along with applications on their phone and computer to estimate the height of the tree. The students will use 3 different methods to measure the height of a tree and at the end will comment on which method is the most accurate assuming the last method is the closest estimate.
Students really enjoyed going outside and applying their skills to this task. This activity is a great investigation for those looking to move in the the IB BP program.
IB Maths Analysis and Approaches SL: Quadratic Functions
The following contains 3 PowerPoints which go through the following.
PPT1
-what is a quadratic function?
-key features of a parabola
-factoring and solving quadratics
-axis of symmetry
-understanding the 3 forms of a quadratic
-completing the square (vertex form)
-sketching quadratics
-finding equations of quadratic functions
PPT2
-quadratic inequalities
PPT3
-the quadratic formula and the discriminant
The PowerPoints have worked examples, and student exercises. I have also put in past paper exam questions for each topic.
IB Maths Applications and Interpretation SL: Functions - Exponential & Logarithmic
The following presentation was created for the Applications and Interpretations SL course following the order of teaching for the Kognity textbook but can also be used with the Pearson or Oxford textbook.
The PowerPoint goes through the following:
Exponential Functions
-function notation
-asymptotes (horizontal and vertical)
-exponential graphs
-transformations of exponential graphs
-solving exponential equations (various forms)
-modeling exponential functions
Sinusoidal Functions
-periodic functions
-trigonometric graphs
-transformations of trigonometric functions
-sketching graphs with transformations
-finding the equations of trigonometric functions
-modeling functions
Throughout the PowerPoint there are worked examples along with exercises for students. I have also included a few Desmos and Geogebra interactive links to help students get a better understanding of the concepts through visuals. At the end of each section I have included IB exam questions so students get get practice to the types and style of questioning they should expect to see when they write their exams. I also have included a few thinking questions, a few taken from American SAT exams. There are also links to YouTube videos to help students understanding with certain content.
IB Maths Applications and Interpretation SL: Arithmetic Sequences & Series
The Following presentation was created for the Applications and Interpretations SL course but can be used for any course such as A-levels that teach this topic. I have included exam question from both A-Level and the IB in the Presentation.
The PowerPoint goes through the following:
-linear sequences from GCSE
-the nth term formula
-embedded simultaneous equation problems
-inequality problems
-introduction to series and proof
-both forms of writing the sum formula
-sum problems involving inequalities
-sigma notation
-basic summation properties
Throughout the PowerPoint there are worked examples along with exercises for students. I have also included a few video exam solutions with videos going through addition examples for students. There is also a video explain how the Arithmetic Sum formula evolved. At the end of each section I have included IB exam questions so students get get practice to the types and style of questioning they should expect to see when they write their exams.
IB Maths Analysis and Approaches SL: Rational Functions
The following contains PowerPoint goes through the following:
-the reciprocal function
-recap some transformations which has been learnt earlier
-horizontal and vertical asymptotes (vertical asymptotes have been mentioned earlier when students learnt domain and range)
-sketching rational functions looking at end behaviours
-finding horizontal asymptotes by taking the limit and by making x the subject (2 methods)
-solving algebraic fractions
-inverse functions
-application questions
The PowerPoints have worked examples, and student exercises. I have also put in past paper exam questions for each topic. There are also links to videos and inter-actives throughout.
IB Maths Applications and Interpretation SL: Optimisation
The following lesson goes through the following:
-Optimisation without calculus
-The second derivative
-Optimisation with calculus
The lesson contains worked examples along with IB practice problems.
IB Maths Applications and Interpretation SL: Chapter 9 - Power Functions
There are 2 PowerPoints for this unit:
Quadratics and Cubics
Optimization without Calculus
PowerPoint 1 goes through:
-domain and range (recap)
-intercepts
-power functions
-3 forms of a quadratic
-axis of symmetry
-modeling
-finding equations of functions
-inverse functions (recap)
Through the PowerPoint there are links to Youtube videos, GeoGebra and Desmos interactives. The PowerPoints have worked examples, and student exercises. I have also put in past paper exam questions for each topic.
IB Maths Applications and Interpretation SL: Chapter 13 - Integration
This unit contains 2 Powerpoints:
Integration
Trapezium Rule
Through the PowerPoint there are links to Youtube videos, GeoGebra and Desmos interactives. The PowerPoint has worked examples, and student exercises. I have also put in past paper exam questions for each topic.
IB Maths Analysis and Approaches SL: Jeopardy Revision Game
This game is intended for an EOY 12 Exam.
Units covered during the year were Number & Algebra, Functions, and Statistics and Probability. There is no probability questions in this game.
The game has all the music and sounds like the real game on TV. Students really enjoy it.
IB Maths Analysis and Approaches SL: Transformations
The following lesson goes through the following:
-translations
-enlargements (vertical and horizontal)
-reflections (both axis)
-parent functions
The PowerPoint has worked examples, and student exercises. I have also put in past paper exam questions for each topic. The idea of this lesson is for students to understand transformations and apply it to any function, hence why I talk about different parent functions (base curves).
IB Maths Applications and Interpretation SL: Functions - Quadratics and Cubic
The following presentation was created for the Applications and Interpretations SL course following the order of teaching for the Kognity textbook but can also be used with the Pearson or Oxford textbook.
The PowerPoint goes through the following:
-recaps domain and range
-recaps x- and y-intercepts
-recaps asymptotes
-how to use the GDC to sketch functions and find domain and range
-how to find x-intercepts
-composite functions
-operations with functions (addition, subtraction, multiplication and division)
-what is a a Power function?
-leading coefficient
-even and odd degree polynomials
-quadratic functions - all 3 forms (standard, factored, and vertex form)
-axis of symmetry
-finding equations from graphs
-application questions
-cubic functions
-inverse cubic functions
-sketching both quadratic and cubic graphs
-finding equations of cubic graphs
-application question with cubic functions
Throughout the PowerPoint there are worked examples along with exercises for students. I have also included a few Desmos and Geogebra interactive links to help students get a better understanding of the concepts through visuals. At the end of each section I have included IB exam questions so students get get practice to the types and style of questioning they should expect to see when they write their exams. I also have included a few thinking questions, a few taken from American SAT exams. There are also links to YouTube videos to help students understanding with certain questions.
GCSE 9-1 Maths Digit Proofs
For those higher achieving students looking to get a grade 9. As proofs is new to the Edexcel specification, digit proofs is not common but has shown up on a Mock Exam.
IB Maths Applications and Interpretation SL: Functions
The following presentation was created for the Applications and Interpretations SL course following the order of teaching for the Kognity textbook but can also be used with the Pearson or Oxford textbook.
The PowerPoint goes through the following:
-what is a relation?
-domain and range
-set and interval notation
-vertical asymptotes
-what is a function?
-mapping diagrams
-vertical line test
-function notation
-forming equations from mapping diagrams
-linear models
-linear simultaneous equations
-inverse functions
-horizontal line test
-domain and range for inverse functions
-piecewise functions
Throughout the PowerPoint there are worked examples along with exercises for students. I have also included a few Desmos and Geogebra interactive links to help students get a better understanding of the concepts through visuals. At the end of each section I have included IB exam questions so students get get practice to the types and style of questioning they should expect to see when they write their exams.
Linear Functions - Straight Line Graph Quizzes
The following are 5 quizzes created for online teaching through Microsoft Teams. All 5 quizzes are multiple choice, so self marking. The 5 quizzes cover the entire topic of linear functions which are as follow:
Straight Line Graphs; graphing, finding an equation, finding gradient, interpreting equation, rearranging equations (25 questions)
Parallel and Perpendicular Lines (19 questions)
Modelling Linear Functions – Real Life Graphs (14 questions)
Distance and Midpoint (10 questions)
Equations of Perpendicular Bisectors (5 questions)