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IB Mathematics: Applications and Interpretation SL

78 lessons across 5 topics

1. Number and Algebra

1Arithmetic Sequences 2Arithmetic Series 3Compound Interest 4Depreciation And Appreciation 5Exponential Growth And Decay 6Financial Applications Of Sequences 7Geometric Sequences 8Geometric Series 9Logarithms In Modelling 10Percentages And Percentage Change 11Scientific Notation In Context 12Simple Interest 13Standard Form

2. Functions

14Domain And Range In Context 15Evaluating Function Models 16Exponential Functions 17Exponential Regression 18Function Notation And Meaning 19Function Transformations 20Graphing With Technology 21Interpreting Graph Features 22Linear Functions 23Linear Regression 24Modelling With Functions 25Piecewise Functions 26Quadratic Functions 27Sinusoidal Functions

3. Geometry and Trigonometry

28Arc Length And Sector Area 29Area Of A Triangle 30Bearings And Navigation 31Coordinate Geometry 32Cosine Rule 33Distance And Midpoint 34Gradient And Equations Of Lines 35Magnitude And Direction 36Modelling Periodic Behaviour 37Radian Measure 38Right-angled Trigonometry 39Sine Rule 40The Unit Circle 41Trigonometric Graphs 42Vectors

4. Statistics and Probability

5. Calculus

65Areas Under Curves 66Average And Instantaneous Rate Of Change 67Chain Rule 68Definite Integrals 69Derivatives Of Exponential Functions 70Derivatives Of Polynomial Functions 71Introduction To Differentiation 72Introduction To Integration 73Numerical Integration 74Optimization In Context 75Product Rule 76Rates Of Change In Applied Models 77Stationary Points 78Tangents And Normals