laky

laky

Asked: September 23, 2024In: Class 6 Maths

Find your own patterns or relations in and among the sequences in Table 1. Can you explain why they happen with a picture or otherwise?

NCERT Solutions for Class 6 Maths Ganita Prakash Chapter 1 Ganit Prakash class 6 Maths Patterns in Mathematics class 6 Important NCERT Questions Based on new NCERT Books for Session 2024-2025 Working with the Text

laky

Asked: September 23, 2024In: Class 6 Maths

What happens when you multiply the triangular numbers by 6 and add 1? Which sequence do you get? Can you explain it with a picture?

NCERT Solutions for Class 6 Maths Ganita Prakash Chapter 1 Ganit Prakash class 6 Maths Patterns in Mathematics class 6 Important NCERT Questions Based on new NCERT Books for Session 2024-2025 Working with the Text

laky

Asked: September 23, 2024In: Class 6 Maths

What happens when you start to add up powers of 2 starting with 1, i.e., take 1, 1 + 2, 1 + 2 + 4, 1 + 2 + 4 + 8, … ? Now add 1 to each of these numbers — what numbers do you get? Why does this happen?

NCERT Solutions for Class 6 Maths Ganita Prakash Chapter 1 Ganit Prakash class 6 Maths Patterns in Mathematics class 6 Important NCERT Questions Based on new NCERT Books for Session 2024-2025 Working with the Text

laky

Asked: September 23, 2024In: Class 6 Maths

What happens when you add up pairs of consecutive triangular numbers? That is, take 1 + 3, 3 + 6, 6 + 10, 10 + 15, … ? Which sequence do you get? Why? Can you explain it with a picture?

What happens when you add up pairs of consecutive triangular numbers? That is, take 1 + 3, 3 + 6, 6 + 10, 10 + 15, … ? Which sequence do you get? Why? Can you explain it with a ...

laky

Asked: September 23, 2024In: Class 6 Maths

Which sequence do you get when you start to add the Counting numbers up? Can you give a smaller pictorial explanation?

NCERT Solutions for Class 6 Maths Ganita Prakash Chapter 1 Ganit Prakash class 6 Maths Patterns in Mathematics class 6 Important NCERT Questions Based on new NCERT Books for Session 2024-2025 Working with the Text

laky

Asked: September 23, 2024In: Class 6 Maths

By imagining a large version of your picture, or drawing it partially, as needed, can you see what will be tha value of 1 + 2 + 3 + … + 99 + 100 + 99 + … + 3 + 2 + 1?

Which sequence do you get when you start to add the All 1’s sequence up? What sequence do you get when you add the All 1’s sequence up and down?

laky

Asked: September 23, 2024In: Class 6 Maths

Can you find a similar pictorial explanation for why adding counting numbers up and down, i.e., 1, 1 + 2 + 1, 1 + 2 + 3 + 2 + 1, …, gives square numbers?

NCERT Solutions for Class 6 Maths Ganita Prakash Chapter 1 Ganit Prakash class 6 Maths Patterns in Mathematics class 6 Important NCERT Questions Based on new NCERT Books for Session 2024-2025 Working with the Text

laky

Asked: September 23, 2024In: Class 6 Maths

Can you think of pictorial ways to visualise the sequence of Powers of 2? Powers of 3? Here is one possible way of thinking about Powers of 2:

NCERT Solutions for Class 6 Maths Ganita Prakash Chapter 1 Ganit Prakash class 6 Maths Patterns in Mathematics class 6 Important NCERT Questions Based on new NCERT Books for Session 2024-2025 Working with the Text

laky

Asked: September 23, 2024In: Class 6 Maths

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

NCERT Solutions for Class 6 Maths Ganita Prakash Chapter 1 Ganit Prakash class 6 Maths Patterns in Mathematics class 6 Important NCERT Questions Based on new NCERT Books for Session 2024-2025 Working with the Text

laky

Asked: September 23, 2024In: Class 6 Maths

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!

NCERT Solutions for Class 6 Maths Ganita Prakash Chapter 1 Ganit Prakash class 6 Maths Patterns in Mathematics class 6 Important NCERT Questions Based on new NCERT Books for Session 2024-2025 Working with the Text

Find your own patterns or relations in and among the sequences in Table 1. Can you explain why they happen with a picture or otherwise?

What happens when you multiply the triangular numbers by 6 and add 1? Which sequence do you get? Can you explain it with a picture?

What happens when you start to add up powers of 2 starting with 1, i.e., take 1, 1 + 2, 1 + 2 + 4, 1 + 2 + 4 + 8, … ? Now add 1 to each of these numbers — what numbers do you get? Why does this happen?

What happens when you add up pairs of consecutive triangular numbers? That is, take 1 + 3, 3 + 6, 6 + 10, 10 + 15, … ? Which sequence do you get? Why? Can you explain it with a picture?

Which sequence do you get when you start to add the Counting numbers up? Can you give a smaller pictorial explanation?

By imagining a large version of your picture, or drawing it partially, as needed, can you see what will be tha value of 1 + 2 + 3 + … + 99 + 100 + 99 + … + 3 + 2 + 1?

Can you find a similar pictorial explanation for why adding counting numbers up and down, i.e., 1, 1 + 2 + 1, 1 + 2 + 3 + 2 + 1, …, gives square numbers?

Can you think of pictorial ways to visualise the sequence of Powers of 2? Powers of 3? Here is one possible way of thinking about Powers of 2:

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

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