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Mathematics
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.
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: Applications and Interpretation SL - Exponential and Logarithmic Functions
Complete PowerPoints for Chapter 10 - Modelling Rates of Change: Exponential and Logarithmic Functions, for the Oxford textbook. The PowerPowers can be used with other textbooks. PowerPoints are built around students learning the the following topics online, but can also be used to deliver in-class. PowerPoints have embedded links to video examples, Desmos activities, GeoGebra, and Casio GDC videos. The following is the topics that the 8 PowerPoints cover.
Geometric Sequences
Geometric Series
Compound Interest
Annuities
Amortization
Exponential Functions
Exponential Models
Exponential & Logarithmic Equations
There are also Past Paper questions in each section of the unit.