Core Mathematics for Classes 9 and 10: Number, Algebra and Geometry
A focused course covering the core of Class 9 and 10 math: number systems, algebra, equations, geometry and mensuration, with worked examples and practice.
Rafi Ahmed
Category One
Intermediate
What you'll learn
- Classify real numbers and simplify expressions with surds and exponents
- Factorise polynomials and apply the remainder and factor theorems
- Solve linear equations in two variables and pairs of simultaneous equations
- Solve quadratic equations by factorising, completing the square and the formula
- Prove triangle congruence and similarity and apply the Pythagoras theorem
- Compute areas, surface areas and volumes of common plane figures and solids
About This Course
This course walks Class 9 and 10 students through the core areas of secondary school mathematics, in the order they build on each other. Each lesson starts from intuition and examples, then moves to the formal rule and exam-style problems.
You will work through three strands:
- Number systems and algebraic expressions
- Equations: linear, simultaneous and quadratic
- Geometry and mensuration
Short quizzes check your understanding at the end of each strand, and a final assignment asks you to solve and explain a set of mixed problems, the way you would in a board exam.
Requirements
- Confident with arithmetic, fractions, decimals and percentages
- Familiar with basic algebraic notation such as using letters for unknowns
- A notebook, pencil, ruler, compass and a basic calculator
Who this course is for
- Class 9 and 10 students preparing for school board exams in Asia
- Students who want a clear, structured revision of core secondary math
- Parents and tutors looking for a compact syllabus to guide practice
Materials included
- 6 lessons
- 2 quizzes
- 1 assignment
- A final exam
- Recall questions to review what you learned
Curriculum
Number Systems and Algebraic Expressions
- Real Numbers, Surds and Laws of ExponentsText
- Polynomials, Algebraic Identities and FactorisationText
- Quiz: Numbers and PolynomialsQuiz
Linear and Quadratic Equations
- Linear Equations in Two Variables and Their GraphsText
- Quadratic Equations: Factorising, Completing the Square and the FormulaText
- Quiz: Solving EquationsQuiz
Geometry and Mensuration
- Triangles: Congruence, Similarity and the Pythagoras TheoremText
- Areas, Surface Areas and VolumesText
- Assignment: Mixed Board-Exam Problem SetAssignment
- Knowledge checkQuiz
Final exam
- Final examExam