Course Description
Grade 9 Mathematics marks the first year of the Cambridge IGCSE program, representing the stage where students transition to highly academic mathematics, exploring deeper abstract concepts and developing rigorous logical thinking.
The program is based on the Cambridge IGCSE Mathematics (Syllabus 0580) and is designed to help students:
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Master calculation skills and mathematical reasoning
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Solve problems in both real-world and academic contexts
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Build a solid foundation for the IGCSE examination at the end of Grade 10
In the online format, students have full access to the required knowledge and effective practice through a comprehensive digital learning system, interactive mathematical tools, and a variety of simulation-based activities.
🔹 Learning Content
1. Number
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Work fluently with real numbers, powers, square roots, and representing numbers on a number line
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Perform operations within brackets and apply the correct order of operations
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Apply ratio, percentage, inverse and direct proportion to real-life problems
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Work with expressions in fractional and decimal forms
2. Algebra and Graphs
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Manipulate complex algebraic expressions; multiply and divide polynomials
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Solve linear equations, inequalities, and simultaneous equations
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Understand and plot graphs of linear and quadratic functions
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Apply algebra to form expressions that model real-life problems
3. Geometry and Trigonometry
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Apply plane geometry theorems, the Pythagoras theorem, and calculate angles and distances
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Work with angles in polygons, circles, triangles, and quadrilaterals
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Introduce trigonometric ratios: sine, cosine, tangent and their applications in right-angled triangles
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Perform transformations: reflection, translation, rotation, enlargement and reduction
4. Mensuration
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Calculate the area and volume of complex solids (pyramids, cylinders, cones)
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Convert measurement units and solve practical measurement problems
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Determine perimeter and surface area in 3D geometry problems
5. Statistics and Probability
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Collect, present, and analyze data using bar charts, frequency diagrams, and box plots
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Calculate mean, median, mode, and basic standard deviation
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Understand probability concepts and calculate probabilities in simple sample spaces
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Apply data analysis to social and scientific problem-solving
🔹 Learning Methodology
1. Guided Problem Solving
Students are guided through solving multi-step problems, required to present clear reasoning and choose solution strategies appropriate to each context.
2. Algebraic Thinking Workshops
Online workshops focused on developing algebraic thinking: manipulation of expressions, solving equations, and illustrating concepts with interactive graphs.
3. Visual Geometry Simulations
Use dynamic geometry software to explore geometric properties, perform transformations, measure angles, and calculate areas efficiently.
4. Data Analysis Using Digital Tools
Become familiar with spreadsheets and statistical software to process real-world data and present it through digital charts and graphs.
5. Math Reflection and Peer Review
Create a collaborative learning environment where students present solutions, critique peers’ work, and self-assess their own learning progress.
Lessons:
