Class 8 is one of the most crucial time of student’s academic life. One basically starts to sift through their interests and focus on the subjects of their choice. This is also a time to build a strong base in the subjects that you are studying and gear up for the next two years which would eventually culminate in the final board exams. So, just like every other subject, the class 8 maths syllabus is also structured with great care and with the right details so that students can strengthen their base in the maths topics that will come handy for the rest of their lives.
What does the class 8 maths syllabus include?
There is quite a long list of topics that have to be covered by class 8 students when it comes to mathematics. Rigorous practise and proper detailed introduction to the concepts will always help. Let us take a look at the most important topics that are covered during this grade- cubes and cube roots, squares roots and squares, rational numbers, powers and exponents, linear equations with one variable, comparing quantities, understanding direct and inverse proportions, identities and important algebraic equations, understanding and introduction to quadrilaterals, basic introductory concepts of graphs, practical usage of geometry, number problems, solid shapes and their visualization, important topics of mensuration and data handling.
There are various sub-topics under these headings that the class 8 maths syllabus covers, some in great detail while some in their introductory form, in keeping with the students of grade 8 level. Well if you are looking for a better understanding of the class 8 mathematics syllabus, then here is a more detailed list of all the topics and their basic concepts:
| Rational Numbers |
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- Basic introduction to rational numbers and its properties. The numbers which can be represented the format of p/q where both the numbers are integers, where q cannot be equal to zero is known as a rational number.
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- Various properties of rational numbers that will be touched upon- closure property, commutative law and associative law.
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- A basic understanding of the number line and how the rational numbers can be represented on them with the help of diagrammatic representation.
- The process of finding out rational numbers between two given rational numbers. The simple way to do that would be to add the two given numbers and divide them by 2. A few other methods will be elaborated upon as well.
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| Cube roots and cubes |
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- Understanding what a cube is. A figure which is three dimensional in visualization and has sides which are of equal length defines a cube. If one is to calculate the volume of the cube, one has to simply multiply the length of the side by itself, three times. Examples of perfect cubes will be provided.
- The cube root is the inverse of the cube number. Basic methods and problems dealing with finding the cube root of a number will be touched upon in the class 8 maths syllabus.
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| Powers and exponents |
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- How to express integers in their exponential forms.
- Understanding of the various exponent laws when they come with integral powers.
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Linear equations with one variable
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- Basic understanding of the concept of a linear equation
- What does it mean when a linear equation has only one variable
- Various methods of solving linear equations which have only one variable.
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Square roots and squares
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- Understanding what the square of a number is. One can find the square of a number by multiplying it by itself twice.
- Ways to find the square root of a number through the method of repeated subtraction
- Use of the prime factorization method to find out the square root of a given number
- Use of the long division method to find out the square root of a given number
- How to find the square root of a decimal
- How to find the estimation of a square root will also be touched upon in the class 8 maths syllabus
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Comparison of quantities
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- A brief revision of the concepts of percentage and ratio and the various ways through which the decrease or increase of a percentage can be found
- The methods through which one can find discount and various calculation of taxes
- Introduction to compound interest and its formula
- Solving
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Inverse and direct proportions
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- Basic introduction to the two concepts and some examples and solutions
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Introduction to Factorization
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- Understanding what factorization means
- Understanding the method of factorization and its application
- Use of identities in Factorization
- Use of factorization in case of algebraic expressions
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Introduction to Quadrilaterals
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- Understanding the concept of polygons and measuring the sum of the exterior angles of a polygon
- The different types of quadrilaterals
- Understanding what a parallelogram is- its properties and some special ones
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Identities and algebraic expressions
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- Introduction to expressions and their subtraction and addition in lieu of the class 8 maths syllabus
- Monomials and polynomials and their multiplication
- Understanding standard identities
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Graphs
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- Introduction to the concepts of a pie graph, bar graph and a line graph
- Understanding linear graphs and their various applications
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Number problems
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- Reversing number digits
- Substitution of numbers by letters
- Divisibility tests for the numbers 2,3, 5, 9 and 10
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Introduction to solid shapes
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- Understanding how 3D shapes are viewed
- Understanding the concept of vertices, edges and faces
- How can we map the shapes that we see around us
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Data Handling
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- How to find data, organize it and group it
- Understanding pie charts and circle graphs
- Introduction to the concepts of probability and chance
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Apart from these various aspects of mensuration of the class 8 maths syllabus will include areas of a trapezium, a general quadrilateral, polygon and finding the surface area of cuboid, cubes, cylinders and calculation of their volumes and capacity will also be covered. The Geometry section will cover in greater detail the concepts of the construction of quadrilaterals with provided different sets of data.
