Mathematics Curriculum for Quiz – Level 1
1. Number System
- Rational Numbers: Properties (closure, associativity, etc.), identities, and finding numbers between rationals.
- Squares & Cubes: Properties of square/cube numbers and finding roots via factorization and division.
- Exponents: Laws of exponents, negative powers, and scientific notation.
2. Algebra
- Expressions: Operations (addition, subtraction, multiplication) on monomials, binomials, and polynomials.
- Identities: Application of standard algebraic identities for expansion and factorization.
- Factorization: Splitting expressions using common factors and identities; division of algebraic expressions.
2. Commercial Mathematics
- Ratios & Percentages: Conversion, increase/decrease percent, and applications.
- Financial Math: Profit and loss, discounts, sales tax/GST, and compound interest calculations.
- Proportions: Direct and inverse variations.
3. Geometry
- Polygons: Classification and angle sum properties (interior/exterior).
- Quadrilaterals: Properties of specific shapes like parallelograms, rhombuses, rectangles, and trapeziums.
4. Mensuration
- 2D Figures: Area of trapeziums and polygons.
- 3D Shapes: Surface area (total and lateral) and volume of cubes, cuboids, and cylinders.
5. Mensuration
- Organization: Grouping data into frequency distribution tables.
- Graphs: Visualizing data using bar graphs, histograms, and pie charts.