By most students class 9 math is considered more difficult than what we study in class 10. Thus it is no surprise that a lot of focus and seriousness is needed in class 9. Here is a brief list of topics to be taught over the next one year.

**Number System: 06 marks (20 hrs)**

**Real Numbers:**

Real numbers is one of the smaller and easier chapters in class 9 math.

After revising what we have already learnt in the previous classes we dig deeper into our understanding of rational and irrational numbers, laws of exponents and end the chapter with rationalizing on the denominator.

**Algebra: 20 marks**

** ****Polynomials: ****(25 hrs)**

Out of the two chapters in Algebra polynomials is the larger and the more important one.

Here are a few of the sub-topics we learn inn this chapter.

- Determining the degree of a polynomial.
- Finding the zeros, roots of a polynomial.
- Recall of algebraic expressions and identities.
- Factorization of polynomials.

** Linear Equations in Two variables: (12 hrs)**

Linear equations is a very intriguing chapter as it deals a lot with application based questions.

This chapter has basically three sub-topics.

- Forming equations using the given information.
- Solving a pair of equations to find the value of the two variables.
- Application based problems.

**Coordinate Geometry: 06 marks (9 hrs)**

Coordinate geometry is one of the easiest and smallest chapters in class 9 math curriculum. In this chapter we learn about the terms associated with the coordinate plane, notations, plotting points in the plane, graph of linear equations and linking this chapter to linear equations in two variables.

**Geometry: 22 marks**

**Introduction to Euclid’s Geometry: (6 hrs)**

In this chapter we learn about Euclid’s method of formalizing observed phenomenon into rigorous mathematics with definitions, common notions, axioms and theorems.

**Lines and Angles: (10 hrs)**

This chapter though small has a lot of sub-topics.

- If a ray stands on a line, then the sum of the two adjacent angles so formed is 180˚ and the converse.
- If two lines intersect then the vertically opposite angles are equal.
- Results on corresponding angles, alternate angles, interior angles when a transversal intersects two parallel lines.
- The sum of the angles of a triangle is 180˚.
- If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles.

**Triangles: (20 hrs)**

Triangles is a long but easy chapter containing a lot of sub-topics.

In this chapter we learn about congruence of triangles and the rules for congruence. Later on in the chapter we learn other properties related to triangles and finally end with Triangle inequalities.

**Quadrilaterals: (10 hrs)**

Quadrilaterals is one of the most interesting ones. Its divided into a number of sub-topics, each including a different theorem.

**Area:**

Area is a very small chapter with only two sub-topics. The first on being, parallelograms on the same base and between the same parallel lines have the same area and the second one being triangles on the same base and between the same parallel lines are equal in area and its converse.

**Circles: (15 hrs)**

Circles is a little lengthy chapter with a lot of subtopics and all of them dealing with circles and their properties and related theorems.

**Construction: (10 hrs)**

Construction is the easiest chapter to score marks in. In this chapter we learn about construction of bisectors of line segments and angles and construction of a triangle with given information.

**Mensuration: 14 marks**

**Heron’s Formula: (4 hrs)**

Area is an important chapter in class 9 math because it is one of the two chapters under mensuration which holds a lot of marks, hence making area an important chapter. In this chapter we use Heron’s formula to find area of quadrilaterals.

**Surface Area and Volume**: **(10 hrs)**

In this chapter we learn to calculate the surface area and volume of varied figures such as cubes, cuboids, spheres, hemispheres, cones and cylinders.

**Statistics and Probability: 12 marks**

**Statistics: (13 hrs)**

In this chapter we study about collection of data, presentation of data, qualitative analysis of the data and calculating the mean, median and mode of the collected data.

**Probability: (12 hrs)**

In this chapter we revise what was taught to us in the smaller classes about probability and we further expand our knowledge regarding probability with the main focus of empirical probability.

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### Rajat Gulati

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