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Titel
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2i Academic Year
AIMS/OBJECTIVES
To deepen students’ understanding of key mathematical concepts in precision and measurement, trigonometry, statistics, functions, and modeling.
To nurture their ability to apply mathematical reasoning to real-world problems, interpret data, and construct and communicate valid arguments.
To equip students with the skills and strategies necessary to navigate the IB Mathematics: Applications & Interpretation examination format—including effective time management, question-analysis techniques, and approaches to common examination pitfalls—in order to maximize performance under timed conditions.
ACADEMICS
Accuracy & Scientific Notation: Understand precision, accuracy, significant figures and scientific notation; apply these to measurements and calculations .
Right-Angled Trigonometry (SOH-CAH-TOA): Solve problems involving right triangles using definitions of sine, cosine and tangent.
Non-Right-Angled Trigonometry & 3D Volume: Solve problems using the sine and cosine rules, area of any triangle, and calculate volumes of prisms, cylinders, pyramids, cones, and spheres .
Descriptive Statistics (Univariate Data): Summarise and interpret data using measures of central tendency and dispersion, histograms, box-plots and cumulative frequency .
Coordinate Geometry, Lines & Voronoi Diagrams: Analyse linear equations, gradients, intercepts, distances and mid-points; construct and interpret Voronoi diagrams
Linear Functions: Model relationships with linear functions, interpret slope and intercept in context, and solve related real-world problems.
Power Functions (Quadratic, Cubic, Polynomials): Explore graphs, zeros, turning points and transformations of power and general polynomial functions
Exponential & Logarithmic Functions: Understand growth and decay models, solve exponential and logarithmic equations, and apply to contexts such as finance and natural phenomena
SKILLS
Personal
Thinking Skills: Develop analytical and modelling skills to set up, solve and critique mathematical problems.
Self-management Skills: Strengthen organisation through regular practice, effective use of formula sheets and time allocation for complex multi-step problems.
Social
Communication Skills: Improve clarity in mathematical writing, use of appropriate notation, diagrams and verbal explanations when presenting solutions.
Social Skills: Foster collaborative problem-solving via pair work and peer review of proofs and modelling reports.
Research Skills: Enhance ability to locate, evaluate and integrate online mathematical resources (e.g., GeoGebra tutorials).
STUDY
Digital Lecture Notes: Comprehensive notes with worked examples and step-by-step derivations provided after each lesson.
Online Resources: Utilise platforms such as Khan Academy and Desmos for interactive practice and visualisation.
Software Tools: Apply GeoGebra and graphing calculators to model functions, transform graphs, and explore dynamic relationships.
Problem Sets: Weekly sets covering conceptual understanding and extended problems, with worked solutions.
ASSESSMENT/EVALUATION
In-class Quizzes: Short tests at the end of each chapter to gauge immediate understanding and procedural fluency.
Homework Assignments: Regular problem sets with mixed-topic questions to build retention and depth.
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