IB Mathematics: Applications and Interpretation HL
107 lessons across 5 topics
1. Number and Algebra
1Arithmetic Sequences2Arithmetic Series3Binary And Other Number Systems4Compound Interest5Depreciation And Appreciation6Exponential Growth And Decay7Financial Applications Of Sequences8Geometric Sequences9Geometric Series10Logarithms In Modelling11Matrices And Matrix Operations12Matrix Applications13Percentages And Percentage Change14Scientific Notation In Context15Sigma Notation16Simple Interest17Solving Exponential Equations18Standard Form19Systems Of Linear Equations20Technology-based Solutions Of Systems
2. Functions
21Composite Functions22Domain And Range In Context23Evaluating Function Models24Exponential Functions25Exponential Regression26Function Notation And Meaning27Function Transformations28Graphing With Technology29Interpreting Graph Features30Inverse Functions31Linear Functions32Linear Regression33Logarithmic Functions34Logistic Models35Modelling With Functions36Piecewise Functions37Power Regression38Quadratic Functions39Rational Functions40Residuals And Goodness Of Fit41Sinusoidal Functions
3. Geometry and Trigonometry
42Applications Of Vectors43Arc Length And Sector Area44Area Of A Triangle45Bearings And Navigation46Coordinate Geometry47Cosine Rule48Distance And Midpoint49Gradient And Equations Of Lines50Magnitude And Direction51Modelling Periodic Behaviour52Radian Measure53Right-angled Trigonometry54Scalar Product55Sine Rule56The Unit Circle57Three-dimensional Geometry58Trigonometric Equations59Trigonometric Graphs60Vectors
4. Statistics and Probability
61Binomial Distribution62Box Plots63Chi-squared Testing64Conditional Probability65Confidence Intervals66Correlation67Cumulative Frequency68Expected Value69Histograms70Hypothesis Testing71Independent Events72Interpretation Of Statistical Significance73Linear Regression And Prediction74Measures Of Central Tendency75Measures Of Dispersion76Normal Distribution77Pearson Correlation Coefficient78Sampling Methods79Scatter Diagrams80Sources Of Bias81Standardization And Z-scores82Technology In Statistics83Tree Diagrams84Types Of Data85Venn Diagrams
5. Calculus
86Areas Between Curves87Areas Under Curves88Average And Instantaneous Rate Of Change89Chain Rule90Concavity And Points Of Inflection91Definite Integrals92Derivatives Of Exponential And Logarithmic Functions93Derivatives Of Polynomial Functions94Differential Equations95Euler’s Method96Introduction To Differentiation97Introduction To Integration98Modelling With Differential Equations99Numerical Integration100Optimization In Context101Product Rule102Quotient Rule103Rates Of Change In Applied Models104Second Derivatives105Solving Differential Equations By Separation106Stationary Points107Tangents And Normals