Academic year:
Units and Topics
| # | Unit/Topic | Marks |
|---|---|---|
| 1 | Sets | - |
| 2 | Real Numbers | - |
| 3 | Polynomials | - |
| 4 | Ratio and Proportion | - |
| 5 | Linear Equations in Two Variables | - |
| 6 | Financial Planning | - |
| 7 | Statistics | - |
| Total | - |
Syllabus
1 Sets
- Concept of Sets
- Methods of Writing Sets
- Types of Sets
- Empty Set or Null Set
- Singleton Set
- Finite Set
- Infinite Set
- Equivalent Sets
- Equal Sets
- Universal Set
- Subset
- Proper Subset
- Disjoint Sets
- Power Set
- Venn Diagram
- Subset
- Concept for Universal Sets
- Complement of a Set
- Operations on Sets
- Number of Elements in a Set
2 Real Numbers
- Concept of Real Numbers
- Properties of Real Numbers
- Terminating
- Non - terminating
- Concept of Rational Numbers
- Decimal Representation to Identify Irrational Numbers
- Properties of Order Relation on Real Numbers
- Concept of Surds
- Forms of Surds
- Four Basic Operations on Surds
- Addition and subtraction of surds
- Multiplication and division of surds
- Rationalisation of Surds
- Conjugate Surds
- Binomial Quadratic Surd
- Simplifying an expression by rationalization of the Denominator
- Absolute value
3 Polynomials
- Concept of Polynomials
- Degree of Polynomial
- When the polynomial contains only one variable
- When the polynomial contains two or more variable
- Operations on Polynomials
- Synthetic Division
- Value of a Polynomial
- Remainder Theorem
- Factor Theorem
4 Ratio and Proportion
- Properties of Ratio
- Concept of Ratio
- Operations on Equal Ratios
- Invertendo
- Alternando
- Componendo
- Dividendo
- Componendo-Dividendo
- Application of Properties of Equal Ratios
- Theorem on Equal Ratios
- Concept of Proportion
- Proportion
- Continued or mean proportion
- Proportionality law
5 Linear Equations in Two Variables
6 Financial Planning
7 Statistics
- Concepts of Statistics
- Concept of Bar Graph
- Collecting Data
- Frequency Distribution Table
- Ungrouped Frequency Distribution Table:
- Grouped Frequency Distribution Table:
- Inclusive Frequency Distribution
- Exclusive Frequency Distribution
- Measures of Central Tendency
- Mean , Median , Mode
- Quartile , Inter quartile
- Cumulative Frequency Table
- Less than Cumulative frequency less than the upper class limit
- Cumulative frequency more than or equal to the lower class limit
Advertisement Remove all ads
Advertisement Remove all ads
