Class name Subject Book title Chapter number Content Created at
Class XI Mathematics Mathematics 12 the right hand limit of f (x) at 0 is lim+f (x) = 2 . x→0 Fig 12.3 In this case the right and left hand limits are different, and hence we say that...
Class X Science Science 11 = √(H/Rt) = √[100 J/(4 Ω × 1 s)] = 5 A Thusthepotentialdifferenceacrosstheresistor, V [fromEq.(11.5)]is V = IR = 5 A × 4 Ω = 20 V. Electricity 189 ...
Class VI Mathematics Ganita Prakash 1 1 PATTERNS IN MATHEMATICS 1.1 What is Mathematics? Mathematics is, in large part, the search for patterns, and for the explanations as to why those...
Class VI Mathematics Ganita Prakash 1 1, 2, 3, 4, ... The branch of Mathematics that studies patterns in whole numbers is called number theory. Number sequences are the most basic and a...
Class VI Mathematics Ganita Prakash 1 3 6 10 15 Squares 1 4 9 16 25 Cubes 1 8 27 64 125 Reprint 2026-27 Patterns in Mathematics   Figure it Out 1. Copythepictorialrepresentationsofthen...
Class VI Mathematics Ganita Prakash 1 pattern!  Why does this happen? Do you think it will happen forever? The answer is that the pattern does happen forever. But why? As mentioned earl...
Class VI Mathematics Ganita Prakash 1 Thisseemstobegivingyetanotherwayofgettingthesquarenumbers— by adding the counting numbers up and then down! Reprint 2026-27 Ganita Prakash | Grade ...
Class VI Mathematics Ganita Prakash 1 + 7, 1 + 7 + 19, 1 + 7 + 19 + 37, … ? Which sequence do you get? Can you explain it using a picture of a cube? 9.  Find your own patterns or relat...
Class VI Mathematics Ganita Prakash 1 as the search for patterns and for the explanations as to why those patterns exist.  Among the most basic patterns that occur in mathematics are ...
Class VI Mathematics Ganita Prakash 1 2 x 2 x2 ,16 = 2 x 2 x2 x 2 x 2… Powers of 3 - 1, 3, 9 = 3 x 3 = 27 =3 x 3 x3,… Virahanka numbers- 1,2, 3, 5 = 2 + 3, 8 = 3 + 5, 13 = 5 + 8,…. Rest...
Class VI Mathematics Ganita Prakash 1 + 3 + 2 + 1, …, gives square numbers? Ans. One of the ways is1, 1 + 2 + 1, 1 + 2 + 3 + 2 + 1, …, Q.2. By imagining a large version of your picture,...
Class VI Mathematics Ganita Prakash 1 numbers do you get? Why does this happen? Ans. • We get, 1, 3, 7, 15, 31, ………… • After adding 1 to each number, we get:2, 4, 8, 16, 32, …… Refer th...
Class VI Mathematics Ganita Prakash 1 number sequence, starting with 3. • Number of Corners = 3,4,5,6,7,8,9,10… Yes, we get the same number sequence • in any closed figure, number of si...
Class VI Mathematics Ganita Prakash 10 10 THE OTHER SIDE OF ZERO Integers More and more numbers! Recall that the very first numbers we learned about in the study of mathematics were the ...
Class VI Mathematics Ganita Prakash 10 them, Bela purchased a multistoried building and filled it with attractions. She named it Bela’s Building of Fun. But this was no ordinary building...
Class VI Mathematics Ganita Prakash 10 Store.So,theToyStoreisonFloor– 1similarlystarting from the ground floor, you must press – 2 to reach the Video Games shop. So, the Video Games shop...
Class VI Mathematics Ganita Prakash 10 movement. 2. Evaluate these expressions (you may think of them as Starting Floor + Movement by referring to the Building of Fun). a. (+ 1) + (+ 4) ...
Class VI Mathematics Ganita Prakash 10 reach? Here is another way to think of the concept of inverse. If you are at Floor +4 and you press its inverse – 4, then you are back to zero, the...
Class VI Mathematics Ganita Prakash 10 in the boxes with < or >: a. – 10 – 12 b. + 17 – 10 c. 0 – 20 d. + 9 – 9 e. – 25 – 7 f. + 15 – 17 C 3. If Floor A = – 12, Floor D = – 1 and Floor E...
Class VI Mathematics Ganita Prakash 10 quantity. In the context of different floor levels, what is the change required to reach the Target Floor from the Starting Floor? Notice that the ...
Class VI Mathematics Ganita Prakash 10 may think of them as finding the movement needed to reach the Target Floor from the Starting Floor. a. (+ 1) – (+ 4) = _______ b. (0) – (+ 2) = ___...
Class VI Mathematics Ganita Prakash 10 +1000 Complete these expressions. +900 a. (+ 40) + ______ = + 200 b. (+ 40) + _______ = – 200 c. (– 50) + ______ = + 200 d. (– 50) + _______ = – 20...
Class VI Mathematics Ganita Prakash 10 corresponding positive number? Math Talk Take a look at the ‘infinite lift’ above. Does it remind you of a number line? In what ways? Back to the n...
Class VI Mathematics Ganita Prakash 10 8 9 10 You must move 6 steps backward, i.e., you must move –6. Hence, we write 9 + (–6) = 3. (Remember again : S  tarting Number + Movement = Targ...
Class VI Mathematics Ganita Prakash 10 The following UNL shows a subtraction problem which can also be writtenasamissingaddendproblem:(–  100) – (+ 250)=?or250+?=–  100. ? – 100 0 + 250 ...