Grade 9 – Mathematics

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Course Content

Real and Complex Number
Real numbers are the union of both rational and irrational numbers. Complex numbers are the numbers that are expressed in the form of a + ib where, a, b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im). The real numbers can be plotted on the number line. The complex numbers cannot be plotted on the number line.

Logarithms
In Mathematics, logarithms are the other way of writing the exponents. A logarithm of a number with a base is equal to another number. A logarithm is just the opposite function of exponentiation. In this chapter, we are going to learn the definition of logarithms, two types of logarithms such as common logarithm and natural logarithm, and different properties of logarithms with many solved examples.

Algebraic Expressions and Formulas
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. Any value that is placed before and multiplied by a variable is a coefficient. This chapter teaches us about polynomial expressions, rational expressions, irrational expressions, algebraic formulas, surds, and their applications, and rationalization.

Factorization
In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number. When you split a number into its factors or divisors, that's factorization. In this chapter, you'll learn type I-VI of factorization, remainder and factor theorem, synthetic division, and factorization of cubic polynomial.

Algebraic Manipulations
Algebraic manipulation involves rearranging and substituting for variables to obtain an algebraic expression in a desired form. During this rearrangement, the value of the expression does not change. In this chapter, you'll learn HCF/GCD and LCM of algebraic expression by factorization method. basic operations on algebraic fraction and square root of algebraic expressions.

Linear Equation and Inequalities
Many problems that arise in the applications of mathematics lead naturally to equations. Equations in which the unknown only occurs to the first power are called linear equations. A linear inequality resembles in the form an equation, but with the equal sign replaced by an inequality symbol. The solution of a linear inequality is generally a range of values, rather than one specific value. Such inequalities arise naturally in problems involving words such as 'at least' or 'at most'. In this chapter, you'll learn linear equation with rational coefficient, equation involving absolute value, and linear inequalities.

Linear Graphs and their Applications
Linear means straight and a graph is a diagram that shows a connection or relation between two or more quantities. So, the linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates. We use linear relations in our everyday life, and by graphing those relations in a plane, we get a straight line. Linear graphs are used to analyze and predict future markets and opportunities, in Biology and Chemistry, medicine, and pharmacy to work out the correct strength of drugs, the analysis and preparation of Government Budgets. In this chapter, you'll learn about cartesian plane and linear graphs, conversion graph, and graphic solution of equations in two variables.

Quadratic Equations

Congruent Triangles

Line Bisectors and Angles Bisectors

Sides and Angles of a Triangle

Practical Geometry – Triangles

Theorems Related with Area

Projection of a side of a Triangle

Introduction to Coordinate Geometry/Analytical Geometry

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