IB in Greek

Applications and Interpretations

Topic 1: Number and Algebra

1.1 Standard form of a number a*10^k

1.6 Presenting numbers in the IB
1.6 Limits of accuracy
1.6 Percentage error

Topic 2 Functions

2.2 Domain of a function (intro)
2.2 Domain of a function with fractions

2.2 Domain of a radical function

2.2 Drawing the graph of inverse by just the graph of f

Topic 3: Geometry and Trigonometry

3.2 Sine rule
3.2 Cosine rule

3.3 True Bearings

3.6 Finding the perpendicular bisector of a segment
3.6 Property of perpendicular bisector
3.6 Voronoi Diagrams

Topic 4: Statistics and Probability

4.5 Key concepts in probability theory

4.5 Finding common universal sets
4.5 Probability of an event (definition+examples)

4.6 Venn diagrams (intro)
4.6 Combined events in Venn diagrams
4.6 Venn Diagrams: Shading regions methodology
4.6 De Morgan's rules

4.6 Algebra of combined events

4.11 Goodness of fit test
4.11 t-test (comparing means of 2 samples)

Topic 5: Calculus (differentiation)

Integration

5.5 Introduction to integration (antiderivatives)
5.5 Power rule in integration
5.5 Operations with integrals (addition, subtraction, scalar multiplication)

Analysis and Approaches

Topic 1: Number and Algebra

1.1 Presenting numbers in the IB

1.1 Standard form of a number a*10^k

Topic 2: Functions

2.2 Domain of a function (intro)
2.2 Domain of a function with fractions

2.2 Domain of a radical function

2.5 Composition of functions

2.5 Introduction to inverse functions
2.5 Finding the inverse by hand (linear, roots, powers)

2.5 Completing the squares method

2.5 Finding the inverse of a quadratic function
2.5 Finding the inverse of exponential and logarithmic func,

2.5 Sketching the graph of inverse by just the graph of f
2.5 Properties of inverse functions

2.8 Reciprocal functions y=a/x

2.8 Rational functions

2.8 Hole in a rational function

2.9 Domain of a logarithmic function
2.14 HL Odd and even functions

Topic 3: Geometry and Trigonometry

3.1

3.2 Trigonometric ratios of an angle SOH-CAH-TOA
3.2 Sine rule
3.2 Cosine rule

3.3 Pythagorean theorem
3.3 Converse of Pythagorean theorem
3.3 Angles of elevation and depression
3.3 True Bearings

Topic 4: Statistics and Probability

4.1 Introduction in Statistics

4.2 Box and whiskers plot

4.2 Rule of 25% in a box and whiskers plot

4.2 Cummulative frequency graphs

4.2 Finding the mean from a box and whiskers plot
4.3 Arithmetic mean in ungrouped data

4.3 Arithmetic mean in grouped data

4.3 Median in ungrouped data

4.3 Median in grouped data

4.3 Calculating IQR by hand

4.3 Calculating IQR by hand through a frequency table

4.5 Key concepts in probability
4.5 Finding universal sets in the most common cases
4.5 Probability of an event

4.6 Venn diagrams (intro)

4.6 Combined events in Venn Diagrams
4.6 Shading regions in Venn Diagrams
4.6 De Morgan's rules - Proof
4.6 Algebra of Combined events

Topic 5: Calculus (Differentiation)

5.12 HL Derivatives from first principles

5.3, 5.6:  Power rule in differentiation
5.6: One step derivatives (sinx, cosx, lnx, a^x)
5.6: Operations with derivatives (addition, subtraction, scalar multiplication)
5.6 Product rule in differentiation
5.6 Quotient rule in differentiation
5.6 Chain rule in differentiation

5.1 Derivative as gradient function

                                     (Integration)

5.5 Introduction to integration (antiderivatives)

5.5 Power rule in integration
5.5 Operations with integrals (addition, subtraction, scalar multiplication)

5.5 Integrals with initial boundary condition

5.10 Integrals of linear composition.

5.11 Introduction in definite integrals
5.13 HL De l' Hospital rules

5.15 HL Integrals of rational functions (numer. > denomin.)
5.15 HL Integrals of rational functions (numer. < denomin.)
5.16 Substitution method in Integration

5.16 Integrals of sine and cosine squared (ONLY WAY)
5.16 HL Integration by parts (part 1)
5.16 HL Integration by parts (part 2)
5.16 HL Integral of lnx (ONLY WAY)
5.16 HL Integrals of products between sines and cosines
5.18 Separable differential equations
5.18 HL Homogenous differential equations
5.18 HL Integrating factor for 1st order linear dif. equations