**Introduction**

Do you wish to become a topper? We are providing the best quality Math 9 class notes for your success. Math is a very challenging subject, but practice makes you perfect. There are so many formulas and equations in math 9 class notes to remember, and it is hard to remember without practice. However, with a lot of preparation and practice, you can do well with the help of our notes.

**Chapter 1: Matrices and Determinants**

Having studied this chapter of math 9 class notes, you can define, types of matrices, multiplication of matrices, solution of Simultaneous Linear Equations Multiplicative Inverse of a matrix, Matrices, and Addition and Subtraction of matrices

**Chapter 2: Real & Complex Number**

In this chapter, you will learn in math 9 class notes:

- Properties of Real Numbers
- Laws of Exponents / Indices
- Radicands and Radicals
- Complex Number
- Real Numbers
- Basic Operations on Complex Numbers

**Chapter 3: Logarithm**

Once you have studied this chapter, you can explain Scientific Notation, Logarithms, Common and Natural Logarithms, Laws of Logarithms, and Application of Logarithms. We explained all these topics in the math 9 class notes.

**Chapter 4: Algebraical Expression and Formulas**

** **After going through this chapter, you can specify Algebraic Expressions, Algebraic Formulas, Applications of surds, and Rationalization. If you face any difficulty in understanding any topic, then you can get help with our math 9 class notes.

**Chapter 5: Factorization**s

Your study outcomes:

- Factorization
- Types of Factorization of Expression
- Factorization of a cubic polynomial
- Factorize the expressions of the type
- Factor Theorem and Remainder Theorem
- Factorizing a cubical polynomial.

**Chapter 6: Algebraical Manipulation**

Having studied this chapter of math 9 class notes, you can find the Lowest common and highest multiple factors among algebraic expressions. Also, you can use the factor or division method to determine the highest common factor and Least Common Multiple. You also know the relationship between the highest common factor and the least Common Multiple.

You can solve real-life problems related to H.C.F. and L.C.M. Use the highest common factor and least common multiple to reduce fractional expressions involving +, -, x, +.

You can find in math 9 class notes of this chapter, an nth root of algebraical expressions by factorization and division.

** Chapter 7: Linear Equation & Inequalities**

After studying this chapter of math 9 class notes, you can recall linear equations in one variable and solve a linear equation with rational coefficients. Define in math 9 class notes absolute value. You can resolve the equation, having complete value, in a variable. Describe inequalities (>, <) and (~, $) and also recognize the qualities of inequalities. Solve inequalities with rational coefficients.

**Chapter 8: Linear Graphs & Application**

After looking through this chapter of math 9 class notes, you can identify a set of real* *numbers as an ordered pair, and recognize an ordered pair through unique examples. You can describe a rectangular/ Cartesian plane having two number lines intersecting at right angles at point 0.

Identify the origin (0) and coordinate axes in the rectangular plane. Draw distinct geometric shapes segment, by combining a set of points. You can construct in math 9 class notes a chart for a set of values meeting a one-degree equation of both variables, and the chart of pairs of points to get the draw of a specific expression.

**Chapter 9: Introduction to the Geometry of Coordinate**

Once you have studied this chapter of math 9 class notes, you can explain coordinate geometry, and derive a distance formula to compute the distance between 2 points given in the Cartesian plane.

You can use math 9 class notes as the distance formula to note a distance between 2 given points. Define collinear points and differentiate between non-collinear and collinear points. You can use the distance formula to appear that given three (or more) points are parallel.

**Chapter 10: Congruent Triangles**

Your study outcomes:** **

- If two angles of a triangle are congruent, then the sides are opposite to them or also congruent, proving that.
- Prove that if in the correspondence of two right-angle triangles, the hypotenuse and 1 side of one are congruent with the hypotenuse, the correspondence side on the other, and then the triangles are congruent.
- When matching two triangles, whether three sides of a triangle are in accord with the correspondence of three sides of each, both triangles are congruent, proving that.
- Prove that in math 9 class notes any correspondence of two triangles, if one side and any two angles of one triangle are congruent with the correspondence side and angles of the other, then the triangles are congruent.

**Chapter** **11: Parallelograms and Triangles**

Once you have studied this chapter, you can define:

- Prove that in a parallelogram

- The opposite sides are congruent,
- The opposite angles are congruent,
- The diagonals bisect each other.

- Demonstrate that the line segment, linking the mid-points on both sides of a triangle, is parallel to the 3rd side and is equal to one-half of its length.
- The point of concurrency is the point of trisection of each median, proving that the medians of a triangle are concurrent.
- If two opposite sides of a quadrilateral are parallel and congruent, it is a parallelogram, proving that.
- Whether three or more parallel lines fit together on one transverse, they shall also intercept related segments on any other line which crosses them, proving that.

**Chapter 12: Line Bisectors and Angle Bisectors**

After going through the chapter of math 9 class notes, you can specify:

- The bisectors of the angles of a triangle are concurrent proof that
- Any point on the bisector of an angle is an equal distance from its arms, prove that.
- Prove that any point inside an angle equal distance from its arms is on the bisector of it.
- The right bisectors of the sides of a triangle are concurrent proof that.
- Any point equal distance from the endpoints of a line segment is on the right bisector of it, prove that.
- Prove that any point on the right bisector of a line segment is equidistant from its endpoints.

**Chapter 13: Sides & Angles of a Triangle**

** ** Your study outcomes:

- Prove that from a point, outside a line, the perpendicular is the shortest distance from the point to the line.
- The sum of the lengths of any two sides of a triangle is greater than the length of the third side, proving that.
- Prove that if two sides of a triangle are unequal, the longer side has an angle to greater measure opposite to it.

**Chapter 14: Ratio and Proportion**

Once you have gone through this chapter, you can specify:

- If two triangles are similar, the measures of their corresponding sides are proportional, proving that.
- The inside bevel of the triangle angle divides the opposite side of it into the ratio of the lengths of the sides containing the angle, proving that.
- It is parallel to the third side, proving that if a row segment crosses both sides of a triangle in the same proportion.
- Prove that a line parallel to one side of a triangle, intersecting the other two sides, divide them proportionally.

**Chapter 15: Pythagoras’ Theorem**

After the discussion of this chapter, you can define:

**Pythagoras’ Theorem**- Prove that if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is right-angled. (
**Converse to Pythagoras’ Theorem**)

**Chapter 16: Theorems related to the Area**

Your study outcomes:

- Prove that Triangles of the same altitude and on an equal base are equal in area.
- Prove that Triangles of the same altitude and on the same base are equal in area.
- Parallelograms having the same altitude and on equal bases and are equal in area, prove that.
- Prove that parallelograms on the same base and lying between the same parallel lines are equal in area.

**Chapter 17: Practical Geometry Triangles**

After reviewing this chapter, we shall learn to construct different triangles, rectangles, and squares. The knowledge of these basic constructions is very useful in everyday life, especially in the occupations of woodworking, graphic art, metal trade, etc. Intermixing of geometrical figures is used to create an artistic look. You can construct geometrical shapes with the help of a pair of compasses, set squares, a divider, and a straightedge.

**Math 9 Class Notes Download**

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**How to prepare for an exam for 9th class **

The most important key to success is to practice frequently, and try to get in the habit of solving questions every day. These notes help you to understand all the concepts of math 9 class notes. Another key element of success in mathematics is to be organized. Make sure you have all the math 9th class lecture notes ready before the exam, so you can practice more and more.

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