Consecutive+Numbers+Investigation


 * CONSECUTIVE NUMBERS**

2, 3, 4, 5 are consecutive numbers. If we add them together we get 2 + 3 + 4 + 5 = 14

Also 4 + 5 + 6 = 15

Try and make all the numbers from 1 to 100 by adding together 2 or more consecutive numbers.

Use a number grid to help – once you have found how a number can be made, cross it off on the grid.

CROSS AS MANY OF THE REST OF REST AS YOU CAN.

DO YOU NOTICE ANY PATTERNS?

__**Extension:**__

You should now know what types of numbers cannot be made by adding consecutive numbers.

WHICH NUMBERS CAN BE DONE MORE THAN ONE WAY?

Example:

15 = 1 + 2 + 3 + 4 + 5 15 = 4 + 5 + 6 15 = 7 + 8

SO THERE ARE 3 WAYS OF MAKING 15 !

FIND SOME OTHER NUMBERS THAT CAN BE DONE MORE THAN ONE WAY. - Which numbers can be done the most ways? - Do the numbers that can be done more than one way have anything in common?

WRITE DOWN ANY RULES OR PATTERNS YOU HAVE FOUND. THINK BIG!