| Module-1 |
Linear Equations In One Variable
- Solving equations by addition and subtraction
- Solving equations by multiplication and division
- Equations with variables on both sides
- Word Problems based on linear equations
|
Suggestive Number Of Hours 6hrs |
| Module-II |
Linear Inequalities In One Variable
- Axioms of inequalities
- Solving Compound Inequalities.
- Solving problems based on Absolute values
- Solving different types of problems based on inequalities
|
6hrs |
| Module-III |
Linear Functions
- Solving equations in two variables
- Understanding points, lines, and their graphs
- Finding slope of a line
- Understanding parallel and perpendicular slope intercepts
- Finding the equation of a line
- Solving functions represented by equations
- Solving functions defined by tables and/or graphs
|
10 hrs |
| Module-IV |
Factoring and Applications
- Finding monomial factors of polynomials
- Problems based on multiplying polynomials
- Multiplying and factoring: Difference of two squares and squares of binomials
- Learning to Factor trinomials of different types
- Factoring by grouping
- Solving equations by factoring
- Word Problems based on factoring
|
14 hrs |
| Module-V |
Systems of Linear Equations and Inequalities
- Graphing equations in two unknown variables
- Solving equations by substitution
- Solving equations by linear combination
- Solving problems involving system of equations
- Learning to graph system of linear inequalities
- Solving system of three equations in three variables
- Finding matrix solutions to systems of equations
|
6 hrs |
| Module-VI |
Laws of Exponents
- Laws of exponents for products and quotients
- Understanding zero and negative exponents
- Understanding fractional exponents
|
6 hrs |
| Module-VII |
Radicals and Radical Expressions
- Introduction to square roots and irrational numbers
- Understanding product and quotient properties
- Learning to simplify and solving radical expressions
- Solving problems based on Pythagorean theorem
- Understanding the distance formula
- Calculating Nth roots
|
9 hrs |