You will have noticed that 36 is both a triangular number and a square number

You will have noticed that 36 is both a triangular number and a square number Class 6

Question 1.

You will have noticed that 36 is both a triangular number and a square number! That is, 36 dots can be arranged perfectly both in a triangle and in a square. Make pictures in your notebook illustrating this! This shows that the same number can be represented differently and play different roles, depending on the context. Try representing some other numbers pictorially in different ways! You will have noticed that 36 is both a triangular number and a square number Class 6

Solution:

Do as directed. For another example, represent 64 as a square and a cube number.

Question 2.

What would you call the following sequence of numbers? Class 6

Solution:

That’s right, they are called hexagonal numbers! Draw these in your notebook. What is the next number in the sequence?

Do as directed.

Next number is (37 + 4 × 6) = 61.