IBDP Mathematics: Application and Interpretation (AIHL)
- Description
- Curriculum
- Announcement
Course description
Mathematics AASL is a course designed for students of standard mathematical ability and suitable for those pursuing disciplines that require the use of knowledge and skills in mathematics but not so rigorously.
Students who aim to explore majors in the Arts, Languages, or Law, the IB Math AASL program may align more closely with their academic goals. It is structured in such a way as to stimulate analysis, facilitate investigation, and invite theorizing and substantiation.
Students learn a variety of topics from Algebra to Calculus that include some simple Abstract concepts, Mathematical Proving techniques, Problem solving and Applications into real life situations. It has a fair blend of Pure and Applied Mathematical concepts.
This course is ideal for students who aim to enroll in some Engineering courses, Computer Science courses including Machine learning and AI, and this may also include some Business and Economics courses.
This IB Math course is taught by our experienced teachers in a lively manner through a variety of activities and enrichment tasks that enlighten the young minds and kindle their interest.
Assessment Structure
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1
Number and Algebra- Arithmetic and geometric sequence and series
- Applications of arithmetic and geometric sequence and series
- Logarithms
- Errors and estimation
- Amortization and annuities using technology
- System of equations and polynomials using technology
- Complex numbers
- Matrices and properties
- Eigen values, Eigen vectors and Diagonalization
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2
Functions
- Equation of straight lines, parallel and perpendicular lines
- Function definition and notation
- Domain and Range of functions
- Inverse and composition function
- Transformation of graphs
- Sketching graphs of functions and determining its key features
- Mathematical modelling - Modelling Linear, Quadratic, cubic, exponential, logistic, piecewise and sinusiodal functions
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3
Geometry and trigonometry
- 3D mensuration
- Sine rule, cosine rule and area of a triangle (non-right angled)
- Angle of elevation and depression and its applications
- Circular Measure - Radians, length of arc and area of sector
- Voronoi diagrams
- Trigonometric identities
- Geometric transformations of points in two dimensions using matrices
- Vector Algebra - lines and planes
- Vector application to kinematics
- Graph theory
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4
Statistics and probability
- Sampling techniques
- Data types and their representations - Cumulative frequency & Box and whisker diagrams
- Measures of central tendency - Mean, Median and Mode
- Measures of spread - Range, Variance/Standard deviation and IQR
- Linear correlation - Bivariate Analysis
- Scatter diagrams
- Pearson Correlation coefficient
- Line of best fit and regression line
- Essentials in Probability
- Probability calculations in Venn diagrams, Tree diagrams and Two way tables
- Conditional Probability
- Discrete Random Variable and its Expectation/ Mean and Variance
- Binomial Distribution
- Continuous Random Variable and its Mean, Median and Variance
- Normal Distribution
- Poisson Distribution
- Spearman’s rank correlation coefficient
- Hypothesis testing
- Design of data collection methods
- Non-linear regression
- Linear transformation, Expectation and Variance
- Central limit theorem
- Critical values and critical regions.
- Markov chains
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5
Calculus
- Concept of limit
- Derivative as a gradient function or as a rate of change
- Derivatives from First principles
- Increasing and Decreasing behavior of functions
- Equation of tangents and normals
- Chain rule, product rule and quotient rule
- Second derivatives
- Integration as Ant-differentiation - Indefinite integrals
- Integration as Area under curve - Definite integrals
- Approximating areas using the trapezoidal rule
- Kinematics
- Model Differential equations
- Slope fields
- Numerical solutions to ODE
- Solve system of Differential equations
Assessment Structure
All students should take 2 components which will be assessed externally.students who have chosen core syllabus will take paper 1 and 3. And students who have chosen extended syllabus will take paper 2 and 4.
Our Approach to Teaching and Learning:
We follow the 5 step process depicted in the picture below.
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Motivation
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Explanation
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Exploration
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Application
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Verification
