Split-up of Syllabus for Class 8
MATHEMATICS
S. No. | Chapter Name | Number Of Periods | Month | Learning Outcomes | Suggestive Activities | Resources |
1 | Rational Numbers CCT | 6+2 | April – May – June | 1. Generalizes properties of addition, subtraction, multiplication and division of rational numbers through patterns. 2. Find out as many rational numbers as possible between two rational numbers. 3. Representation of Rational numbers on Number Line | 1. Discussion about the properties of rational numbers can begin by motivating learners to create and observe the examples, which can be discussed. 2. Representation of Various Number on Number Line 3. Finding Many rational numbers between two given rational numbers. 4. Lerner’s may be asked to compile statements related to properties exhibited by numbers under different operations like addition, subtraction, multiplication and division. They may be encouraged to observe how these properties change as the number system extends. Discussion can be held to evolve a general form of such properties. | NCERT Mathematics Textbook Class VIII |
2 | Linear Equations In One Variable CCT | 10+2 | April – May – June | 1. Applications of Simple Equations to Practical situations 2. Solve puzzles and daily life problems using variable | 1. Students may be motivated to form and solve the problems using the concept learnt earlier in geometry, Mensuration, Number system, etc. 2. Initially equations with variable on one side and number on other may be discussed. Gradually shift to equations having variable on both sides 3. More complex equations and their applications can then be switched over to puzzles | NCERT Mathematics Textbook Class VIII |
3 | Understanding Quadrilaterals CCT | 9+2 | July | 1. Solves problems related to the angle of a quadrilateral using angle sum property 2. Verify properties of the parallelogram and establishes the relation between them through reasoning 3. Able to differentiate between Square and Rhombus | 1. Different types of polygons may be explored by students 2. Quadrilaterals and their different forms can then be observed and discussed 3. Papercutting activities mentioned in the textbook may be done by students and through these, they may try to express their ideas of properties of quadrilaterals. 4. Draw a flowchart to represent various quadrilaterals and their types. | NCERT Mathematics Textbook https://diksha.go v.in/play/collectio n/do_313103475 1514624001146
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4 | Practical Geometry CCT | 7+2 | July | 1. Constructs different quadrilaterals using a compass and straight edge
2. Able to know all the properties of quadrilateral | 1. Activities using small sticks or straws may be done to form quadrilaterals. Students may be encouraged to make a unique quadrilateral of a given dimension and conditions may be explored. 2. Based on these different sets of conditions students may be motivated to draw different quadrilaterals on the paper using a ruler and compasses 3. Special types of quadrilaterals may be discussed and constructed such as rhombus. square etc. 4. 4. Draw various quadrilaterals of each type and mention their properties | NCERT Mathematics Textbook Class VIII |
PERIODIC TEST-1 IN THE FIRST FORTNIGHT OF AUGUST
5 | Data Handling CCT | 8+2 | August | 1. Draws and interprets bar graphs and pie charts. 2. Makes hypotheses on chances of future events based on its earlier occurrences or available data like, after repeated throws of dice and coins. 3. Able to analyse /Decision making the given situation using Data provided. 4. Application of learned concepts in day to day life. | 1. The student may be motivated to collect data from the available sources such as Newspapers, TV, internet, etc. and try to interpret the data given 2. The situation may be thought of discussed where the huge amount of data is required to be organized marks of class VIII students scored in all the schools of a city 3. Draw a pie chart showing the daily routine of a student. 4. Motivate students to think of constructing Histogram and pie chart. 5. Situations for the chance in daily life may be collected and further discussion may lead to the concept of probability. | NCERT Mathematics Textbook Class VIII https://diksha.go v.in/play/collectio n/do_313103475 1514624001146 |
6 | Square And Square Root CCT | 10+2 | August | 1. Find a square of a number. 2. Use various methods to find the square root of a number. 3. Able to find the square root of larger numbers and decimals using the Long Division Method. | 1. Students may be motivated to identify the square numbers by looking at their unit digits. 2. Find the square method by of Using Prime Factorisation and Long Division Method. (a) 133225 (b) 256036 3. Ask students to write the square of 20 Natural Numbers. 4. They may be encouraged to find some interesting patterns using squares. 5. Ask students to check a number is a perfect square or not by repeated subtraction of odd numbers starting from
| NCERT Mathematics Textbook Class VIII
https://diksha.go v.in/play/collectio n/do_313103475 1514624001146
|
I TERM-END EXAMINATION IN THE LAST WEEK OF SEPTEMBER
7 | Cube And Cube Root CCT | 8+2 | September | 1. Find the cube and cube root of a number. 2. Able to correlate the concept of finding cube and cube roots with subjects like Physics. | 1. Students may be asked to make a list of some numbers which are perfect cubes. 2. Motivate learners to write the cubes of first ten or more natural numbers. 3. Forming a larger cube with 8 small cubes (dice) and check the number of cubes in its every side. | NCERT Mathematics Textbook Class VIII https://diksha.go v.in/play/collectio n/do_313103475 1514624001146 |
8 | Comparing Quantities CCT | 12+2 | September | 1. Solve problems related to ratio and percentage. 2. Application of percentage to practical situations. 3. Application of the concept of Profit- Loss and Compound Interest in Practical Situations. | 1. Students may be asked to compare the height and weight of students in their class. 2. Ask students to find their percentage in different subjects and overall. 3. Class bank: Students may be asked to make a class bank with dummy currencies to understand interest. 4. A dummy market scene may be created in the class to understand CP, SP, profit and loss. | NCERT Mathematics Textbook Class VIII
https://diksha.go v.in/play/collectio n/do_313103475 1514624001146 |
9 | Algebraic Expressions And Identities CCT | 10+2 | October | 1. Identify monomials, binomials and other polynomials. 2. Solve problems related to the multiplication of polynomials. 3. Learn and apply identities. 4. Using Identities to make calculations faster viz (a+b)2 , (a2-b2) etc. | 1. Discussion about variables and constant by giving examples from daily life situations. 2. Students may be asked to write down the examples of combination of variables and constants then identify terms, factors, coefficients in different algebraic expressions. 3. Draw Tree Diagrams to identify terms and their coefficient. | NCERT Mathematics Textbook Class VIII https://diksha.go v.in/play/collectio n/do_313103475 1514624001146 |
10 | Visualising Solid Shapes CCT | 5+2 | November | 1. Able to apply Euler’s formula to find edges, vertices or faces. 2. Able to use Euler’s Formulae to check if the given shape is a valid polyhedron or not? 3. Able to identify and differentiate between various Polyhedrons viz. Pyramid and Prism etc. | 1. Students may be asked to make 3 –D solid shapes using cardboard, thick Sheets etc. 2. Motivate students to establish a relationship between its edges, vertices and faces to verify Euler’s formula. 3. Ask students to tell the name of 3–D objects around them. 4. Collect various examples of Prism shapes around you. | NCERT Mathematics Textbook Class VIII https://diksha.go v.in/play/collectio n/do_313103475 1514624001146
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11 | Mensuration CCT | 12+2 | November | 1. Find an area of trapezium. 2. Solves problems related to the surface area of a cube, cuboid, and cylinder. 3. Able to compute or calculate the area and volume of 3d shapes available around you. | 1. Students may be asked to Identify various 2-D, 3-D shapes around their surroundings. 2. Discussion about area and volume of different shapes. 3. Motivated students to find the difference between CSA and TSA by taking different solids. 4. Make a cylindrical shape with the help of cardboard/pa per and explain the concept of curved surface area and total surface area by separating its part in the class. 5. To make the correlation between Circumference and Curved surface area of a cylinder using Carrom Coins. | NCERT Mathematics Textbook Class VIII https://diksha.go v.in/play/collectio n/do_313103475 1514624001146 |
12 | Exponents And Powers CCT | 4+2 | December | 1. Learn laws of exponents and use them to solve the problems. 2. Able to express large decimals in their standard form. | 1. Students will be asked to represent numbers in exponential form. 2. Encourage students to find various laws of exponent by taking different examples. 3. Expression of inter-conversion units in standard form ( gm-kg, m-km etc, m2-hectare etc) | NCERT Mathematics Textbook Class VIII https://diksha.go v.in/play/collectio n/do_313103475 1514624001146 |
13 | Direct And Inverse Proportion CCT | 8+2 | December | 1. Solve practical problems related to direct and inverse proportions. | 1. Discussion about how various quantities are related to each other. 2. Students may be motivated to give In some situations when the increase in one quantity also increases the other and vice-versa. 3. Ask students to give some situations when increasing in one quantity decreases the other and vice-versa. 4. Swachchh Bharat Abhiyan: More the students less the time to clean. ( These types of real life the situation can be discussed) | NCERT Mathematics Textbook Class VIII https://diksha.go v.in/play/collectio n/do_313103475 1514624001146 |
PERIODIC TEST-II IN THE SECOND FORTNIGHT OF JANUARY
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14 |
Factorisation CCT |
9+2 |
January |
1. Factorisation of algebraic expression. 2. Solve problems related to the division of algebraic expressions. 3. Able to apply the concept of the Middle Term Splitting Method. |
1. Students may be asked to write some monomials and find their factors. 2. To identify common factors in an algebraic expression. 3. Motivate students to find their way to use identities in factorization. 4. Papercutting activities may be done to verify identities. 5. Write one example each with Algebraic Identities and solve them |
NCERT Mathematics Textbook Class VIII https://diksha.go v.in/play/collectio n/do_313103475 1514624001146 |
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15 |
Introduction to Graph CCT |
6+2 |
February |
1. Draw and interpret line graph. 2. Locate a point on the graph. 3. Able to differentiate between Line Graph and Bar Graph. 4. Application of the concept of graphs in practical situations. |
1. Students may be asked to collect the data and represent it. 2. Drawing of bar graph, pie graph and linear graph for various data. 3. They may be asked to locate their position in the class on graph and 4. Write the coordinates of the point from the graph. |
NCERT Mathematics Textbook Class VIII https://diksha.go v.in/play/collectio n/do_313103475 1514624001146 |
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16 |
Playing With Numbers CCT |
3+2 |
February |
1. Learn and use divisibility rules. |
● The teacher can ask the students to check the divisibility of the numbers written on number cards etc. ● Writing odd, even, prime and composite numbers between 50 -100. ● Students may be motivated to play different number games like Sudoku. |
NCERT Mathematics Textbook Class VIII https://diksha.go v.in/play/collectio n/do_313103475 1514624001146 |
| 17 |
Revision CCT |
15 |
February |
SESSION ENDING EXAMINATION IN THE SECOND WEEK OF MARCH
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