What is a magic square? Complete entries in the following and make it a magic square.
| 8 | 12 | 1 | |
| 11 | 7 | 2 | |
| 10 | 5 | 3 | |
| 4 | 6 | 9 |
Illustrate the methods used for filling the entries. Also explain why the method work
A magic square is a square grid of numbers where the sum of the numbers in each row, column, and both main diagonals is the same. In the given example:
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8 12 1
11 7 2
10 5 3
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Illustrate the use of each of the following in learning the concept of “fraction”.
i) an outdoor activity
ii) newspapers and magazines
i) What is an equation? Does all the equation involve a variable. Give an example of an equation with a variable in it and which does not have a variable in it.
ii) Here is a think of a number game: ‘Think of a number, then double it, add six to the sum, divide the sum by half and then subtract 3 from it the number’. Did you receive the same number you had started with? Why? Justify.
Much of Mathematics teaching is actually about encouraging children to become more aware about patterns they find and to use them in their thinking. Illustrate this in the case of the situation given below by answering the questions given in questions (i), (ii) and (iii), below.
“A mathematics teacher in class 5 showed the following pattern in the class.
46 44 = 2024
63 67 = 4221
71 79 = 4909
She gave some time for the students to identify the pattern. After some time she asked the students to find the answer of “84 × 86” in one second. One student answered 7224. Based on this situation, answer the following question.
i) What is the pattern used by the student?
ii) Explain why it works?
iii) Describe how it helps to encourage mathematical thinking
Evaluation at every step, through immediate feedback, should form part of teaching – learning process. Explain this statement in the context of each, teaching and learning of place-value. Further give three distinct multiple assessment techniques for evaluation in the context given.
Prove that the sum of the first n even numbers is an even number. Is the kind of logic used in proving this is inductive, deductive or both? Justify your answer
Devise a game for a group of appropriate level of children to help them develop the ability to estimate volume
What could be the logic behind the following subtraction done by a child:
Does this shows that the child has not understood the process of subtraction of numbers? Give reasons for your answer. How will you help her to correct her mistake