Course Description
Grade 11 Mathematics marks the first year of the Cambridge International AS & A Level stage, with a focus on advanced academic study—ideal for students aiming for careers in science, engineering, technology, finance, or economics.
The program is based on the Cambridge International AS & A Level Mathematics syllabus (9709), combining content from Pure Mathematics 1 (P1) and Mechanics/Statistics, and is designed to help students:
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Master advanced problem-solving techniques and abstract concepts
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Develop reasoning skills and the ability to analyze mathematical models
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Apply mathematics to real-world problems at an academic level
The online learning format ensures high-quality delivery through academic lecture materials, advanced mathematical tools, discussion forums, and personalized guidance.
🔹 Learning Content
1. Pure Mathematics 1 (P1)
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Manipulation and simplification of complex algebraic expressions
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Quadratic equations, inequalities, and systems of linear equations
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Functions and graphs: linear, quadratic, modulus, and rational functions
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Introduction to exponential and logarithmic functions and their applications
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Sequences, arithmetic series, and geometric series
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Basic differentiation: derivatives and applications to finding extrema
2. Mechanics 1 (if chosen)
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Uniform and uniformly accelerated motion
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Forces and Newton’s laws of motion
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Weight, normal reaction, and frictional forces
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Problems involving acceleration, velocity, and motion graphs
3. Statistics 1 (if chosen)
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Data summary: mean, median, standard deviation, variance
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Data representation: frequency diagrams, box plots, histograms
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Probability and combinations
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Discrete random variables and the binomial distribution
🔹 Learning Methodology
The program is designed to guide students in transitioning from learners to independent, research-oriented scholars through the following approaches:
1. Lecture-Based Concept Mastery
In-depth video lectures analyzing key concepts—combined with advanced practice exercises—enable students to master the foundations of mathematics.
2. Interactive Algebra & Graph Tools
Use online tools (Desmos, GeoGebra, Graphing Calculator) to illustrate expressions, plot graphs, check solutions, and understand variations.
3. Past-Paper Based Practice
Regularly practice with official Cambridge past papers (Paper 1) to familiarize students with exam structure, timing, and effective strategies.
4. Application-Driven Modelling Projects
Design mathematical models to solve real-world problems such as interest growth, motion simulation, and data forecasting.
5. Personalized Feedback and Mentoring
Receive detailed, skill-specific feedback from teachers through periodic marked assessments, along with targeted guidance for improvement.
Lessons:
