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Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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Chocolate

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

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Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Almost One

Stage: 3 Challenge Level: Challenge Level:1

You could begin by choosing a fraction bigger than $\frac{1}{2}$ and adding on smaller fractions to get close to 1.

You could approximate each fraction to fractions that you are familiar with (with small denominators) and then use your approximations to estimate possible sums.

It is often easiest to add fractions when they have the same denominator...