Maharashtra State Board Syllabus For 10th Standard [इयत्ता १० वी] Algebra: Knowing the Syllabus is very important for the students of 10th Standard [इयत्ता १० वी]. Shaalaa has also provided a list of topics that every student needs to understand.
The Maharashtra State Board 10th Standard [इयत्ता १० वी] Algebra syllabus for the academic year 2021-2022 is based on the Board's guidelines. Students should read the 10th Standard [इयत्ता १० वी] 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 10th Standard [इयत्ता १० वी] Algebra Syllabus pdf 2021-2022. They will also receive a complete practical syllabus for 10th Standard [इयत्ता १० वी] Algebra in addition to this.
Academic year:
Maharashtra State Board 10th Standard [इयत्ता १० वी] Algebra Revised Syllabus
Maharashtra State Board 10th Standard [इयत्ता १० वी] Algebra and their Unit wise marks distribution
Maharashtra State Board 10th Standard [इयत्ता १० वी] Algebra Course Structure 2021-2022 With Marking Scheme
| # | Unit/Topic | Marks |
|---|---|---|
| 1 | Linear equations in two variables | |
| 2 | Quadratic Equations | |
| 3 | Arithmetic Progression | |
| 4 | Financial Planning | |
| 5 | Probability | |
| 6 | Statistics | |
| Total | - |
Syllabus
1 Linear equations in two variables
- Linear Equations in Two Variables
- Linear Equations in Two Variables Applications
- Algebraic Methods of Solving a Pair of Linear Equations
- Graphical Method of Solution of a Pair of Linear Equations
- Graphical Method of Solving a System of Linear Equations
- Determinant of Order Two
- Equations Reducible to a Pair of Linear Equations in Two Variables
- Equations Reducible to Linear Equations
- Simple Situational Problems
- Inconsistency of Pair of Linear Equations
- Cramer'S Rule
- Consistency of Pair of Linear Equations
- Pair of Linear Equations in Two Variables
Pair of Linear Equations in Two Variables Examples and Solutions
- System of linear equations in two variables
- Algebraic methods of solving linear equations in two variables
- Graphical representation of different possibilities of solutions or Inconsistency
- Graphical method of solving a system of linear equations
- Determinant of order two
- Cramer's rule
- Consistency of pair of linear equations
2 Quadratic Equations
- Quadratic Equations Examples and Solutions
Application of quadratic equation
- Quadratic Equations
- Introduction and Standard Form of a Quadratic Equation - ax2 + bx + c = 0, (a ≠ 0)
- Roots of a Quadratic Equation
- Nature of Roots
- Nature of Roots Based on Discriminant
- two distinct real roots, two equal real roots, no real roots
- Solutions of Quadratic Equations by Using Quadratic Formula and Nature of Roots
-
Two distinct real roots if b2 – 4ac > 0
-
Two equal real roots if b2 – 4ac = 0
-
No real roots if b2 – 4ac < 0
- Relation Between Roots of the Equation and Coefficient of the Terms in the Equation Equations Reducible to Quadratic Form
- Solutions of Quadratic Equations by Factorization
- Solutions of Quadratic Equations by Completing the Square
- method of completing the square
- Formula for Solving a Quadratic Equation
- Introduction to quadratic equations
- Solutions of quadratic equations
- Nature of roots based on discriminant
- Relation Between Roots of the Equation and Coefficient of the Terms in the Equation Equations Reducible to Quadratic Form
3 Arithmetic Progression
- Introduction to Sequence
- Geometric Mean
- Arithmetic Progressions Examples and Solutions
- Arithmetic Progression
- Terms and Common Difference of an A.P.
- Geometric Progression
- General form of Geometric Progression
- General term of Geometric Progression
- General Term of an Arithmetic Progression
- General Term of an Geomatric Progression
- Sum of First n Terms of an AP
- Sum of the First 'N' Terms of an Arithmetic Progression
- Sum of the First 'N' Terms of an Geometric Progression
- Arithmetic Mean - Raw Data
- Terms in a sequence
- Concept of Ratio
- Introduction to Sequence
- Arithmetic Progression and Geometric Progression
- General term of an Arithmetic Progression and Geometric Progression
- Sum of the first 'n' terms of an Arithmetic Progression and Geometric Progression
- Arithmetic Mean and Geometric Mean
4 Financial Planning
- GST - Introduction
- GST - Tax Invoice
- GST - Computation and ITC
- GST on Brokerage Services
- Comparison of FV and MV
- Rate of Return - RoR
- Brokerage and taxes on share tradin
- Shares
- Systematic Investment Plan
- Mutual Fund - MF
- Features of GST
- Types of Taxes Under GST
- GST - Introduction
- GST - Tax Invoice
- GST - Computation and ITC
- Shares, Mutual Funds and SIP
5 Probability
- Probability - A Theoretical Approach
- Classical Definition of Probability
- Type of Event - Impossible and Sure Or Certain
- assume that all the experiments have equally likely outcomes, impossible event, sure event or a certain event, complementary events,
- Type of Event - Elementry
- Type of Event - Complementry
- Type of Event - Exclusive
- Type of Event - Exhaustive
- Equally Likely Outcomes
- Probability of an Event
- Concept Or Properties of Probability
- Addition Theorem
(without proof)
- Random Experiments
- Sample Space
- Basic Ideas of Probability
- Introduction to probability and related terms
- Classical definition of probability
- Types of events
- Equally likely outcomes
- Probability of an event
- Properties of Probability
- Addition theorem (without proof)
6 Statistics
- Tabulation of Data
- Inclusive and Exclusive Type of Tables
- Median of Grouped Data
- Mean of Grouped Data
- Frequency Polygon
- Concept of Pie Graph (Or a Circle-graph)
- Ogives (Cumulative Frequency Graphs)
- Applications of Ogives in Determination of Median
- Relation Between Measures of Central Tendency
- Introduction to Normal Distribution
- Properties of Normal Distribution
- Graphical Representation of Data as Histograms
- Construction of a histogram for continuous frequency distribution
- Construction of histogram for discontinuous frequency distribution.
- Mode of Grouped Data
- Brief revision of Tabulation of data, inclusive and exclusive type of tables
- Mean, median and mode of grouped data
- Histograms, frequency polygon, frequency curve, pie diagram
- Ogives (Cumulative frequency graphs)
- Applications of ogives in determination of median
- Relation between measures of central tendency
- Introduction to normal distribution
- Properties of normal distribution
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