Gd 9 Math

1.   Number bases

●        conversion of numbers from one base to another

●        Basic operations on number bases

2.   Modular Arithmetic

●        Concept of Modulo Arithmetic

●        Addition, subtraction, and multiplication operations in modulo arithmetic

●        Application to daily life

3.   Fractions, Decimals and Approximations

●        Basic operations on fractions and decimals.

●        Approximations and significant figures.

4.   Indices

●        Laws of indices

●        Numbers in standard form (scientific notation)

5.   Logarithms

●        Relationship between indices and logarithms: e.g., y = 10k implies log10y = k.

●        Basic rules of logarithms

●        Use of tables of logarithms and anti-logarithms

o Calculations involving multiplication, division, powers, and roots.

6.   Sequence and Series

●        Patterns of sequences.

●        Arithmetic progression (A.P.) and Geometric Progression (G.P.)

7.   Sets

●        Idea of sets, universal sets, finite and infinite sets, subsets, empty sets, and disjoint sets.

●        Solution of practical problems involving classification using Venn diagrams.

8.   Logical Reasoning

●        Simple statements.

●        True and false statements.

●        Negation of statements and implications.

●        Use of symbols: use of Venn diagrams

9.   Positive and negative integers, rational numbers

●        The four basic operations on rational numbers.

●        Match rational numbers with points on the number line.

●        Notation: natural numbers (N), integers (Z), and rational numbers (Q).

10. Surds (Radicals)

●        Simplification and rationalization of simple surds.

●        Surds of the form, a and b, where a is a rational number and b is a positive integer.

●        Basic operations on surds (exclude surd of the form).

11. Matrices and Determinants

●        Identification of order, notation, and types of matrices.

●        Addition, subtraction, scalar multiplication, and multiplication of matrices.

●        Determinant of a matrix

12. Ratio, Proportions and Rates

●        The ratio between two similar quantities.

●        The proportion between two or more similar quantities.

●        Financial partnerships, rates of work, costs, taxes, foreign exchange, density (e.g., population), mass, distance, time, and speed.

13. Percentages

●        Simple interest, commission, discount, depreciation, profit and loss, compound interest, hire purchase, and percentage error.

14. Financial Arithmetic

●        Depreciation/Amortization.

●        Annuities

●        Capital Market Instruments

15. Variation

●        Direct, inverse, partial, and joint variations.

●        Application to simple, practical problems.