The Indian Certificate of Secondary Education or ICSE is a private board for school education in India. The ICSE Class 9 maths syllabus is designed to challenge and engage students. It covers a range of topics that are essential for students to master before moving on to higher-level mathematics.
The ICSE Math Syllabus for Class 9 covers a wide range of topics from basic to advanced level. The syllabus is divided into two parts: algebra and geometry. Algebra is the study of equations and variables, while geometry is the study of shapes and space. The syllabus also includes a section on trigonometry, which is the study of triangles and their angles. The topics included in the ICSE Math Syllabus for Class 9 are Number Systems, Algebra, Geometry, Mensuration, Trigonometry, Statistics, and Probability.
Detailed Syllabus of Class 9 Maths ICSE
Chapter 1: Rational and Irrational Numbers
In your earlier classes, you have studied natural numbers, whole numbers, and integers. The first chapter of the ICSE math syllabus for class 9 carries forward students to the next level of numbers – rational numbers and irrational numbers. A surd is an expression that includes a square root, cube root, or other root symbols. In this chapter, you will also learn about surds and their operations by rationalizing the denominator.
- Rational Numbers
- Irrational Numbers
- Rationalization of Surds
- Simplifying an expression by Rationalizing the Denominator
- Representation of Rational Numbers on the Number Line
- Representation of Irrational Numbers on the Number Line
- Proof of Irrationality
Chapter 2: Compound Interest
Banks are an important part of our lives. In your earlier classes, you learned about simple interest. This chapter explains one more method of calculating interest that is commonly used in loans offered by various banks.
Chapter 3: Expansions of Algebraic Expressions
Identities are mathematical expressions similar to equations, composed of two algebraic expressions separated by an equal sign. The difference between an equation and an identity is that the equation is satisfied by certain values whereas an identity holds true for every value. This chapter of the ICSE math syllabus for class 9 explains the various identities with their expansions.
- Expansions Using Identities
Chapter 4: Factorization
In your earlier classes, you studied factors and multiples of numbers. Similarly, polynomials are made up of smaller components known as factors. Factorization of Polynomials is about decomposing polynomials into their factors, which on multiplying gives back the polynomial.
Chapter 5: Simultaneous Linear Equations in Two Variables
You studied linear equations in one variable. This chapter of the ICSE math syllabus for class 9 deals with similar types of linear equations but with two variables. In this chapter, you will learn the different methods of solving linear equations in two variables.
- Solving Simultaneous Linear Equations in Two Variables – Elimination
- Solving Simultaneous Linear Equations in Two Variables – Substitution
- Solving Simultaneous Linear Equations in Two Variables – Cross-Multiplication
Chapter 6: Exponents
You know representing quantities like the weight of your friend, or the weight of fruit you buy. But the weights of planets and stars such as that of Earth or the Sun cannot be expressed using the numbers you learned so far. In this chapter of the ICSE math syllabus for class 9, you will learn how to express very large quantities. In such cases, we use numbers with powers which are called exponents.
- Positive Indices
- Negative Indices
- Laws of Exponents
Chapter 7: Congruent Triangles
You have studied the comparison and equality of numbers in earlier classes. You can also compare the plane figures like triangles, squares, rectangles, etc. The word congruence means equal. Learn how to tell whether two given triangles are congruent or not.
- Congruence of Triangles – SSS
- Congruence of Triangles – SAS
- Congruence of Triangles – ASA
- Congruence of Triangles – RHS
Chapter 8: Mid Point Theorem
In your earlier classes, you studied different properties of triangles. The midpoint theorem is an important property of lines and triangles. This theorem is used to prove and solve many problems related to triangles.
- Mid Point Theorem
- Equal Intercept Theorem
Chapter 9: Pythagoras Theorem
In mathematics, the Pythagorean theorem, or Pythagoras’ theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. This chapter of the ICSE math syllabus for class 9 explains the derivation and use of Pythagoras’ theorem.
- Pythagoras Theorem
Chapter 10: Rectilinear Figures
A rectilinear figure is a plane figure or shapes all of whose sides or edges are straight. You already know some of the common rectilinear figures such as squares, rectangles, and triangles. In this chapter, you will learn about various properties of parallelograms, rectangles, and rhombus.
Chapter 11: Circles
In daily life, you come across different types of circular objects such as clock dials, rings, vehicle tyres, etc. In this chapter, you will learn terms related to circles such as chords and arcs, and their different properties.
Chapter 12: Statistics
Statistics refers to the study of collecting, analyzing, interpreting, presenting, and organizing data in a particular manner. It is a mathematical discipline where the collection and summarization of data are carried out. In this chapter of the ICSE math syllabus for class 9, you will learn about two broad categories of data – discrete and continuous data and also the methods of computing two important central tendencies – mean and median.
- Raw and Tabulated Data
- Discrete and Continuous Data
- Mean of Ungrouped Data
- Median of Ungrouped Data
- Tabulation of Grouped Data
- Frequency Distribution of Discrete Data
- Frequency Distribution of Continuous Data
- Frequency Polygon
Chapter 13: Mensuration
Till now, you have learned how to find the perimeter and area of squares and rectangles. In this chapter, you will learn the methods and formulas to compute the perimeter and area of triangles and circles and also the surface area and volume of 3D objects – cubes and cuboids.
- Perimeter of Triangle
- Area of Triangle
- Heron’s Formula
- Perimeter of Circle
- Area of Circle
- Area of SemiCircle and Sector
- Surface Area of Cube
- Surface Area of Cuboid
- Volume of Cube
- Volume of Cuboid
Chapter 14: Trigonometry
While learning about triangles, you studied about right triangles. These right triangles are used to find the height of mountains, tall buildings, or the depth of ocean beds. The branch of mathematics that helps in finding all these measurements is called Trigonometry. It is based on the concept of the ratio of sides of a right triangle. These three basic ratios used in trigonometry are sine, cosine, and tangent.
- Trigonometric Ratios
- Trigonometric Ratios of Standard Angles
- Right Angled Triangle
- Trigonometric Ratios of Complementary Angles
Chapter 15: Coordinate Geometry
Coordinate geometry is the study of geometric figures such as lines, and plane figures by plotting them in the coordinate axes. You have already used coordinated geometry to plot points and draw lines using coordinate points. In this chapter, you will learn to find the distance between two points.
- Cartesian System
- Plotting a Point
- Solving Simultaneous Linear Equations in Two Variables Graphically
- Distance Formula
Best Maths Reference Books For Class 9 ICSE
If you are looking for the best Maths reference books for Class 9 ICSE, then this list is for you. Here we have listed some of the best Maths books that will help you score high marks in your exams. These books cover the entire maths 9 class maths syllabus and are a great resource for students who want to excel in this subject. In this list, we will recommend three of the best math reference books for the ICSE math syllabus for class 9 students who are following the ICSE curriculum.
- The first book on our list is “Selina ICSE Concise Mathematics for Class 9 (2022-23 Session)” by R.K. Bansal. This is very popular among students and teachers alike. If you’re a student of class 9 ICSE, it’s an essential book to practice maths.
- The other math reference book for ICSE 9th grade students is “Together with ICSE Mathematics for Class 9(New Edition 2022-2023)” by S.K. Batra. It covers all the topics of ICSE 9 with lots of worked-out examples.
- One more good book is “ICSE Foundation Mathematics” by Goyal Brothers Prakashan by RS Agarwal. It is one of the best books for students of ICSE class 9 as it covers all the topics in detail and also provides solved examples to help students understand the concepts better.
ICSE Maths Syllabus For Class 9 Pdf
The ICSE Class 9 Maths Syllabus is available here for download in PDF format. The PDF download covers all the Maths topics that will be taught in the 9th class. The syllabus is divided into four sections: Algebra, Geometry, Mensuration, and Statistics.
Algebra includes topics such as linear equations, quadratic equations, polynomials, and progressions. Geometry covers topics like lines and angles, triangles, circles, and polygons. Mensuration deals with topics like area, perimeter, volume, and surface area. Statistics include data collection, analysis, and interpretation.
The ICSE Class 9 Maths Syllabus is designed to give students a strong foundation in the subject. It will help them prepare for their future studies and exams.
PDF download also includes a list of important Maths resources for parents, teachers, and students. So, go ahead and download this ICSE Math Syllabus for Class 9 PDF.
Is ICSE harder than CBSE?
ICSE Syllabus is considered to be more difficult than CBSE. Because the ICSE syllabus has more internal assessments and concepts as compared to CBSE.
What are the topics in the ICSE Math syllabus for class 9?
The syllabus is divided into four sections: Algebra, Geometry, Mensuration, and Statistics. Algebra includes topics such as linear equations, quadratic equations, polynomials, and progressions. Geometry covers topics like lines and angles, triangles, circles, and polygons. Mensuration deals with topics like area, perimeter, volume, and surface area. Statistics include data collection, analysis, and interpretation.
In conclusion, the ICSE Class 9 Maths Syllabus is designed to challenge and improve students’ understanding of the subject. The coursework is demanding but ultimately rewarding, and students who complete it will be well-prepared for further study in mathematics.