IB Mathematics: Analysis and Approaches (AA)

Complete support for IB Mathematics AA SL & HL, with structured notes, video lessons, practice exercises and exam preparation.

Topic 1: Number and Algebra

1.2 Arithmetic Sequences (Introduction):   NOTES   VIDEO   EXERCISES
1.2 Proving that a sequence is arithmetic:   NOTES  VIDEO   EXERCISES
1.2 Using the general term formula:   NOTES   VID1   VID2   VID3   EXERCISES
1.2 Sum of first n terms of an a.s.:   NOTES   VIDEO   EXERCISES
1.2 Partial sums in an a.s. :   NOTES   VIDEO   EXERCISES
1.4 Financial apps - compound interest, annual depreciation: VIDEO  WORKSHEET (1.99$)
1.7 Introduction to logarithms and their laws:   NOTES   VIDEO   EXERCISES
1.7 Solving Logarithmic Equations:   NOTES   NOTES 2 WITH EXERCISES  VIDEO  
1.16 HL Mathematical Induction:   NOTES   VIDEO   EXERCISES   EXE2

Topic 2: Functions

2.1a Introduction to straight Lines:   NOTES   VIDEO   EXERCISES

2.1b Different forms of a straight line's equation:   NOTES   VIDEO   EXERCISES

2.2a Concept of a function (definitions):   VIDEO

2.2b Domain and Range of a function:   VIDEO

2.2c Inverse Functions:   VIDEO

2.4a Key features of a graph:   VIDEO

2.5a Composite functions:  VIDEO

2.5b Finding the inverse of a function:   NOTES   VID1   VID2   EXERCISES
2.5c Graph of an inverse function:   NOTES   VIDEO   EXERCISES

2.6a Quadratic function:   NOTES   VIDEO   EXERCISES

2.6b Different forms of quadratic functions:   NOTES   VIDEO   EXERCISES

2.6c Changes between forms of quadratic functions:   NOTES   VIDEO   EXERCISES

2.7a Solving quadratic equations:   NOTES   VIDEO   EXERCISES

2.7b Solving quadratic inequalities:   NOTES   VIDEO   EXERCISES

2.7c Relation between discriminant and roots:   NOTES   VIDEO   EXERCISES

2.8a Reciprocal function:   VIDEO

2.8 Asymptotes of a rational function:   NOTES   VIDEO   EXERCISES

2.9 Logarithmic function:   NOTES   VIDEO   EXERCISES

Topic 3: Geometry and Trigonometry

3.1a Distance and midpoint formulas:   VIDEO

3.1b Areas and Volumes of common 3D shapes:   VIDEO

3.1c Pyramids and hidden right triangles in them:   VIDEO

3.2a Sine, Cosine and tangent ratios formed in a right triangle:   VIDEO

3.2b Sine and Cosine rules:   VIDEO

3.2c Area of a triangle:   VIDEO

3.2  Working with triangles: METHODOLOGY

3.3a Angles of elevation and depression:   VIDEO

3.3b Using true bearings:   NOTES   VIDEO   EXERCISES

3.4  Length of arc and Area of sector:   VIDEO

3.5a Trigonometric ratios of 0, 30, 45, 60 an 90 degrees:   NOTES   VIDEO   EXERCISES

Topic 4: Probability and Statistics

4.1 Concepts of Statistics:   NOTES   VIDEO   EXERCISES

4.2a Frequency tables of discrete and continuous data:

4.2b Histograms and Cummulative frequency graphs:

4.2c Median and IQR through cummulative frequency graphs:

4.2d Box whisker diagram:   NOTES   VIDEO   EXERCISES

4.3a Mean, median, mode in ungrouped data:

4.3b Mean in grouped data:

4.3c Mean in word problems:

4.3d Range, IQR, variance and standard deviation in ungrouped data:

4.3e Effects of constant changes on data:   NOTES   VIDEO   EXERCISES

4.4a Scatter diagram and Pearson's correlation coefficient:   NOTES   VIDEO   EXERCISES

4.7 Probability distribution of a random variable:   NOTES   VIDEO   EXERCISES

4.8 Binomial Distribution:   NOTES   VIDEO   EXERCISES

4.14a HL Variance of a discrete random variable:   NOTES   VIDEO   EXERCISES

Topic 5: Calculus

5.1 Introduction to the concept of a limit:   NOTES   VIDEO   EXERCISES

5.1 Derivative interpreted as gradient function:   NOTES   VIDEO   EXERCISES

5.2 Monotonicity and derivatives:   NOTES   VIDEO   EXERCISES

5.3: Derivatives of power functions, power rule:   NOTES   VIDEO   EXERCISES

5.4: Tangents and normals at a given point:   NOTES   VIDEO   EXERCISES

5.9: Kinematics:   NOTES   VIDEO-1   VIDEO-2   EXERCISES

5.14 HL Implicit Differentiation:   NOTES   VIDEO   EXERCISES