IB Mathematics: Applications and interpretation HL
 IB Mathematics
 3445 (Registered)

This course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a datarich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modeling. To give this understanding a firm base, this course also includes topics that are traditionally part of a preuniversity mathematics course such as calculus and statistics.
The course makes extensive use of technology to allow students to explore and construct mathematical models. Mathematics: applications and interpretation will develop mathematical thinking, often in the context of a practical problem, and using technology to justify conjectures.
Online lessons
Exercises
Exam Practice questions
Course Content

1. Number and algebra
 1.1 Scientific notation
 1.2 Arithmetic sequences and series
 1.3 Geometric sequences and series
 1.4 Financial applications
 1.5 Exponents and logarithms
 1.6 Approximation
 1.7 Amortization and annuity
 1.8 Equations and equation systems
 1.9 Laws of logarithms
 1.10 Rational exponents
 1.11 Sum of infinite geometric sequences
 1.12 Introduction to complex numbers
 1.13 Further complex numbers
 1.14 Matrices
 1.15 Eigenvalues and eigenvectors

2. Functions

3. Geometry and trigonometry
 3.1 Threedimensional space
 3.2 Triangle trigonometry
 3.3 Applications of trigonometry
 3.4 The circle
 3.5 Perpendicular bisectors
 3.6 Voronoi diagrams
 3.7 The circle revisited
 3.8 Trigonometric ratios beyond acute angles
 3.9 Planar transformations
 3.10 Vectors
 3.11 Vector equation of a line
 3.12 Vector kinematics
 3.13 Products of vectors
 3.14 Introduction to graph theory
 3.15 Further matrices
 3.16 Graph algorithms

4. Probability and statistics
 4.1 Collection of data and sampling
 4.2 Presentation of data
 4.3 Measures of central tendency and dispersion
 4.4 Linear correlation of bivariate data
 4.5 Probability and expected outcomes
 4.6 Probability calculations
 4.7 Discrete random variables
 4.8 The binomial distribution
 4.9 The normal distribution and curve
 4.10 Further linear regression
 4.11 Hypothesis testing
 4.12 Collecting and analysing data
 4.13 Nonlinear regression
 4.14 Variance
 4.15 The central limit theorem
 4.16 Confidence intervals
 4.17 The Poisson distribution
 4.18 Population tests
 4.19 Markov chains

5. Calculus
 5.1 Introduction to differentiation
 5.2 Increasing and decreasing functions
 5.3 Derivatives of power functions
 5.4 Tangents and normals
 5.5 Introduction to integration
 5.6 Stationary points
 5.7 Optimisation
 5.8 Area of a region
 5.9 Further differentiation
 5.10 Second derivative
 5.11 Further integration
 5.12 Area and volume
 5.13 Kinematics
 5.14 Differential equations
 5.15 Graphical approximations to differential equations
 5.16 Numerical solutions to differential equations
 5.17 Qualitative and analytical techniques for coupled systems
 5.18 Second order differential equations
Requirements
 Grade 10 level math
 Internet Connection
Features
 a smart interactive textbook
 30 hours ondemand video
 assessment support
 downloadable resources
 Access on mobile and TV
 Certificate of completion
Target audiences
 IB Diploma/A level/AP students
FAQs
Instructor
David Vundi is a teacher of mathematics and Physics at Alphy School. He has been teaching IB DP, AP, and IGCSE Math and Physics courses as a classroom teacher and online educator for 25 years.
0 rating