Consecutive Number Maths Investigation
The task was to investigate and explore patterns by adding consecutive numbers together.
First we looked at adding 3 consecutive numbers together.
3 consecutive numbers were added together, the answers were then circled on a 100 square.
Number 9 was circled.
We then started to look for patterns and explain why a number was/wasn’t circled.
4 consecutive numbers were then added together, the answers were then circled on a 100 square.
Number 14 was circled.
After investigating adding 3 and 4 consecutive numbers, we then began to explore different conjectures.
Always, Sometimes or Never true?
• If the statement is always or never true, write down how you can be sure.
• If the statement is sometimes true, write down when it is true and when it is not.
The sum of four consecutive whole numbers is divisible by 4.
The sum of four consecutive whole numbers is even.
To find the sum of consecutive whole numbers, find the middle number and then multiply it by how many numbers there are.
The sum of five consecutive whole numbers is divisible by the sum of the first and last numbers.