Academic year:
Units and Topics
#  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  ax^{2} + 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 b^{2} – 4ac > 0

Two equal real roots if b^{2} – 4ac = 0

No real roots if b^{2} – 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 Progression Examples and Solutions
Applications of A.P
 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 Circlegraph)
 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
Advertisement Remove all ads
Advertisement Remove all ads