All covered topics

IB Math AI SL

Topic 1

Number & Algebra

Topic 1 All

Read All Questions Under  Topic 1. Number & Algebra

Topic 1.1

Approximation and scientific notation

Topic 1.2

1.2.1 Arithmetic Sequence/series
1.2.2 Arithmetic Sequence/series-Sigma Notation/Applications/ including approximate difference

Topic 1.3

1.3.1 Geometric Sequence/Series.
1.3.2 Geometric Sequence/series-Applications.

Topic 1.4 & 1.5

1.4 Compound Interest/Annual depreciation.
1.5 Laws of Exponents with integer exponents.

Topic 1.6 & 1.7

1.6 Approximations/Estimations/Lower and Upper bounds.
1.7 Amortization and Annuities using technology

Topic 1.8

1.8 Use of technology to solving systems of linear equations/polynomials
Concept Quiz 1
Test 1 SL –No Calculator.
Test 2 SL –Calculator
Test 3 SL –No Calculator.
Test 4 SL –Calculator

Topic 2

Functions

Topic 2 All

Read All Questions Under  Topic 2. Functions

Topic 2.1, 2.3 & 2.3

2.3 graph of functions.
2.1 Linear functions.
2.2 Concepts of functions.

Topic 2.4

2.4 Analytic properties of graphs of functions (Using the GDC calculator)
2.4 Composition and inverse functions.

Topic 2.5

2.5 Models 2.6 Modelling/Parameters/validity/Reliability
Concept Quiz 2
Test 1 SL –No Calculator.
Test 2 SL –Calculator.
Test 3 SL –No Calculator.
Test 4 SL –Calculator

Topic 3

Geometry and trigonometry

Topic 3 All

Read All Questions Under  Topic 3. Geometry and trigonometry

Topic 3.1

3.1.1 Coordinate geometry.
3.1.2 Right angled trigonometry_SOH CAH TOA
3.1.3 3D Analysis. Volume and surface area of solids

Topic 3.2 & 3.3

3.2.2 Non-Right angled trigonometry_Sine and Cosine Rule.
3.3 Applications of Basic Trigonometry. (elevations, bearings and 3D trig)

Topic 3.4, 3.5 & 3.6

3.4 Circles, sector, segment and arc-length.
3.5 Equation of perpendicular bisectors
3.6 Voronoi Diagram

Topic 3.8

3.8.2 Graphical methods for solving trig equations.
3.8.3 Applications of trig functions and Ferris Wheel
Concept Quiz 3
Test 1 SL –No Calculator.
Test 2 SL –Calculator
Test 3 SL –No Calculator.
Test 4 SL –Calculator

Topic 4

Statistics and probability

Topic 4 All

Read All Questions Under  Topic 4. Statistics and probability

Topic 4.1 & 4.2

4.1 Terminologies and sampling.
4.2. Data handling and presentation

Topic 4.3, 4.4 & 4.5

4.3 Central measures and dispersion.
4.4 Linear correlation and regression.
4.5 Definition of probability.

Topic 4.5 & 4.6

4.6 Venn diagram and combined events.
4.6.2 Conditional probabilities and tree diagram

Topic 4.7 & 4.8

4.7 Probability distribution of a discrete random variable.
4.8 Binomial distribution

Topic 4.9 & 4.10

4.9.1 Normal distribution.
4.9.2 Inverse normal distribution.
4.10 Spearman’s rank correlation coefficient

Topic 4.11

4.11.1 Chi-square test of independence.
4.11.2 Chi-square goodness of fit test.
4.11.3 t-test

Concept Quiz 4
Test 1 SL –No Calculator.
Test 2 SL –Calculator.
Test 3 SL –No Calculator.
Test 4 SL –Calculator

Topic 5

Calculus

Topic 5 All

Read All Questions Under  Topic 5. Calculus

Topic 5.1 & 5.2

5.1 Evaluation of slopes and limits (informal)
5.2 Increasing and decreasing functions. Stationary points

Topic 5.3 & 5.4

5.3 Power rule of differentiation.
5.4 Tangent and normal to a curve

Topic 5.5

5.5.1 Integration (power rule).
5.5.2 Definite and Indefinite integrals

Topic 5.6, 5.7 & 5.8

5.6 Local maximum and local minimum points.
5.7 Optimization.
5.8 Trapezoidal rule

Concept Quiz 5
Test 1 SL –No Calculator.
Test 2 SL –Calculator
Test 3 SL –No Calculator.
Test 4 SL –Calculator