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Mathfirst principles.

10TH • RIGOROUS CURRICULUM.

Chapter-by-chapter theory notes, step-by-step textbook exercises, video lectures, and SLO-aligned board examination prep for Mathematics (10th).

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Syllabus

Curriculum Syllabus

Course chapter sequence roadmap and learning outcomes.

Mathematics (10th)

1. Complex Numbers

1.1 Complex Numbers
1.2 Algebraic Operations on Complex Numbers
1.3 Complex Plane, Conjugate and Modulus
1.5–1.6 Real/Imaginary Parts and Simultaneous Equations

2. Quadratic Equations

2.1 Quadratic Equation
2.2 Finding Intersection Point(s) Graphically
2.3 Relationship Between Roots and Coefficients
2.4 Discriminant of a Quadratic Equation
2.5 Solution of Quadratic Inequalities
2.6 Changing the Subject of Formula
2.7 Applications of Quadratic Equations

3. Matrices

3.1 Matrices
3.2 Types of Matrices
3.3 Algebraic Operations on Matrices
3.4 Multiplication of Matrices
3.5 Multiplicative Inverse of a Matrix
3.6 Solution of Simultaneous Linear Equations
3.7–3.8 Applications and Role of Mathematics

4. Functions

4.1 Function
4.2–4.4 Absolute Value Functions
4.5–4.6 Real-Life Problems

5. Rational Expressions

5.1 Algebraic Fraction
5.2 Manipulation of Rational Expressions
5.2.2 Multiplication and Division
5.3 Equations Reducible to Quadratic
5.4 Real World Problems

6. Vectors

6.1–6.2 Coordinates and Vectors
6.3–6.5 Addition, Difference and Components
6.6–6.7 Translation and Geometric Applications

7. Trigonometry

7.1 Trigonometric Ratios or Functions
7.2 Oblique Triangles
7.3–7.4 Three Dimensions and Real Life
7.5 Three Figure Bearing

8. Circles

8.1 Circles
8.1 Circles (continued)

9. Circle Theorems and Mensuration

9.1 Tangent and Angles of a Circle
9.2 Area of Sector and Arc Length

10. Constructions

10.1 Construction of a Circle
10.2 Tangent to a Circle

11. Statistics

11.1–11.3 Cumulative Frequencies, Box Plots and Scatter Diagrams
11.4 Measures of Dispersion

12. Probability

12.1 Probability
12.2 Addition Law of Probability
12.3 Multiplication Law of Probability

13. Answers

Answers
INTERACTIVE LAB • CALCULUS & VECTORS

Explore Dynamic Tangent Secants & Riemann Sums

Visualize derivatives as tangent limits, integrate Riemann area under curves, and inspect vector geometry in 2D & 3D space.

scienceLaunch Mathematics Labs→Board MCQs & Past Papers