Maharashtra State Board Syllabus For 9th Standard Algebra: Knowing the Syllabus is very important for the students of 9th Standard. Shaalaa has also provided a list of topics that every student needs to understand.

The Maharashtra State Board 9th Standard Algebra syllabus for the academic year 2021-2022 is based on the Board's guidelines. Students should read the 9th Standard Algebra Syllabus to learn about the subject's subjects and subtopics.

Students will discover the unit names, chapters under each unit, and subtopics under each chapter in the Maharashtra State Board 9th Standard Algebra Syllabus pdf 2021-2022. They will also receive a complete practical syllabus for 9th Standard Algebra in addition to this.

## Maharashtra State Board 9th Standard Algebra Revised Syllabus

Maharashtra State Board 9th Standard Algebra and their Unit wise marks distribution

### Maharashtra State Board 9th Standard Algebra Course Structure 2021-2022 With Marking Scheme

# | Unit/Topic | Weightage |
---|---|---|

1 | Sets | |

2 | Real Numbers | |

3 | Polynomials | |

4 | Ratio and Proportion | |

5 | Linear Equations in Two Variables | |

6 | Financial Planning | |

7 | Statistics | |

Total | - |

## Syllabus

- Concept of Sets
- Representation of a set

- Roster Method
- Set-Builder Method
- Venn Diagram

- Number of elements of a set
- Types of Sets

- Empty Set
- Singleton set
- Finite set
- Infinite set
- Subset
- Superset
- Proper Subset
- Power Set
- Equal sets
- Equivalent sets
- Universal set

- Operations on sets

- Complement of a set
- Union of Sets
- Intersection of sets

- De Morgan's Laws - Difference of Sets

- Intervals

- Open Interval
- Closed Interval
- Semi-closed Interval
- Semi-open Interval

- 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

- 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

- 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

- 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

- 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