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Mathematics

Free sample CBSE/NCERT Class 8 Mathematics animated/multimedia lesson videos and tests

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Tupoints class 8 lessons and practice modules are designed to build a lasting learning and practicefoundation not only for class 8 but also for higher classes which need a different approach in terms of learning and practice so as to be able to cope up with higher learning and practice levels. Despite this, the lessons are not learning heavy and encourage students to learn and practice well and work on remediation of their doubts themselves using Tupoints learning gaps analysis and revision materials.

Summary

Tupoints software is designed as per the guidelines of NCERT and the other State Boards of India. With the help of Subject MatterExperts, Instruction Designers & Online Tutors and path-breaking technology, we have developed an all-inclusive knowledge repositorythat is updated with the latest syllabus .Tupoints software is designed as per the guidelines of NCERT and the other State Boardsof India. With the help of Subject Matter Experts, Instruction Designers & Online Tutors and path-breaking technology, we havedeveloped an all-inclusive knowledge repository that is updated with the latest syllabus .Tupoints software is designed as per theguidelines of NCERT and the other State Boards of India. With the help of Subject Matter Experts, Instruction Designers & OnlineTutors and path-breaking technology, we have developed an all-inclusive knowledge repository that is updated with the latest syllabus.Tupoints software is designed as per the guidelines of NCERT and the other State Boards of India. With the help of SubjectMatter Experts, Instruction Designers & Online Tutors and path-breaking technology, we have developed an all-inclusive knowledgerepository that is updated with the latest syllabus .Tupoints software is designed as per the guidelines of NCERT and the other StateBoards of India. With the help of Subject Matter Experts, Instruction Designers & Online Tutors and path-breaking technology, wehave developed an all-inclusive knowledge repository that is updated with the latest syllabus .Tupoints software is designed as perthe guidelines of NCERT and the other State Boards of India. With the help of Subject Matter Experts, Instruction Designers & Online.

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Sl.No,Chapter name,Number of Animated lessons,Total duration,

1, Rational Number,15

1h 01m,

2,Linear equations in One Variable,10,40m,

3

Understanding Quadrilaterals

12

27m,

4,Practical Geometry,8,13m, 5,Data Handling,12

27m, 6,Square and Square Roots

13,37m,

7

Cube and Cube Roots

11

18m, 8,Comparing Quantities

13

36m, 9

Algebraic Expression and Identities

19

43m, 10

Visualising Solid Shapes

10

22m,11

Mensuration

17

42m, 12,Exponents and Powers

7

20m,13

Direct and Inverse Proportions

9

19m, 14

Factorisation

13

44m, 15

Introduction to Graphs

11

17m, 16,Playing with Numbers

12

32m, Tupoints videos and tests are simple to learn and practice and are self explanatory.

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,Mathematics Course Structure Class VIII

Number System (50 hrs)

(i) Rational Numbers:

Properties of rational numbers.(including identities). Usinggeneral form of expressionto describe properties, Consolidation of operations on rational numbers, Representationof rational numbers on the number line, Between any two rational numbers there liesanother rational number (Making children see that if we take two rational numbersthen unlike for whole numbers, in this case you can keep finding more and more numbersthat lie between them.), Word problem (higher logic, two operations, including ideaslike area)

(ii) Powers

Integers as exponents.Laws of exponents with integral powers

(iii) a. Squares, Square roots

Square and Square roots, Square roots using factor method and division method fornumbers containing (a) no more than total 4 digits and (b) no more than 2 decimalplaces

(iii) b.Cubes, Cube roots.

Cubes and cubes roots (only factor method for numbers containing at most 3 digits),Estimating square roots and cube roots. Learning the process of moving nearer tothe required number.

(iv)Playing with numbers

Writing and understanding a 2 and 3 digit number in generalized form (100a + 10b+ c , where a, b, c can be only digit 0-9) and engaging with various puzzles concerningthis. (Like finding the missing numerals represented by alphabets in sums involvingany of the four operations.) Children to solve and create problems and puzzles,Number puzzles and games, Deducing the divisibility test rules of 2, 3, 5, 9, 10for a two or three-digit number expressed in the general form.

Algebra (20 hrs)

(i) Algebraic Expressions

Multiplication and division of algebraic exp.(Coefficient should be integers)Some common errors (e.g. 2 + x ≠ 2x, 7x + y ≠ 7xy ), Identities (a ± b)2 = a2 ±2ab + b2, a2 – b2 = (a – b) (a + b) Factorisation (simple cases only) as examplesthe following types a(x + y), (x ± y)2, a2 – b2, (x + a).(x + b), Solving linearequations in one variable in contextual problems involving multiplication and division(word problems) (avoid complex coefficient in the equations)

Ratio and Proportion (25 hrs)

Slightly advanced problems involving applications on percentages, profit & loss,overhead expenses, Discount,tax, s Difference between simple and compound interest(compounded yearly up to 3 years or half-yearly up to 3 steps only), Arriving atthe formula for compound interest through patterns and using it for simple problems,Direct variation – Simple and direct word problems, Inverse variation – Simple anddirect word problems, Time & work problems– Simple and direct word problems

Geometry (40 hrs)

(i) Understanding shapes:

Properties of quadrilaterals – Sum of angles of a quadrilateral is equal to 360o(By verification), Properties of parallelogram (By verification), Opposite sidesof a parallelogram are equal, Opposite angles of a parallelogram are equal, Diagonalsof a parallelogram bisect each other. [Why (iv), (v) and (vi) follow from (ii)],Diagonals of a rectangle areequal and bisect each other, Diagonals of a rhombusbisect each other at right angles, Diagonals of a square are equal and bisect eachother at right angles.

(ii) Representing 3-D in 2-D

Identify and Match pictures with objects [more complicated e.g. nested, joint 2-Dand 3-D shapes (not more than 2)], Drawing 2-D representation of 3-D objects (Continuedand extended), Counting vertices, edges & faces & verifying Euler’s relationfor 3-D figures with flat faces (cubes, cuboids, tetrahedrons, prisms and pyramids)

(iii) Construction:

Construction of Quadrilaterals, Given four sides and one diagonal, Three sides andtwo diagonals, Three sides and two included angles, Two adjacent sides and threeangles

Mensuration (15 hrs)

Area of a trapezium and a polygon, Concept of volume, measurement of volume usinga basic unit, volume of a cube, cuboid and cylinder, Volume and capacity (measurementof capacity), Surface area of a cube, cuboid, cylinder.

Data handling (15 hrs)

Reading bar-graphs, ungrouped data, arranging it into groups, representation ofgrouped data through bar-graphs, constructing and interpreting bar-graphs, SimplePie charts with reasonable data numbers, Consolidating and generalising the notionof chance in events like tossing coins, dice etc. Relating it to chance in lifeevents. Visual representation of frequency outcomes of repeated throws of the samekind of coins or dice. Throwing a large number of identical dice/coins togetherand aggregating the result of the throws to get large number of individual events.Observing the aggregating numbers over a large number of repeated events. Comparingwith the data for a coin. Observing strings of throws, notion of randomness

Introduction to graphs (15 hrs)

Preliminaries:

Axes (Same units), Cartesian Plane,Plotting points for different kind of situations(perimeter vs length for squares, area as a function of side of a square, plottingof multiples of different numbers, simple interest vs number of years etc.),Readingoff from the graphs,Reading of linear graphs, Reading of distance vs time graph