Math Foundations
Negative Numbers
Learn the foundations of arithmetic with negative numbers, built on the zero-pair tile model.
THE SYLLABUS
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Positives and Negatives
Every + tile is worth 1 and every − tile cancels one + tile: a + and a − together are worth 0, so the total is the number of + tiles left after the pairs cancel.
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Negative Numbers
A − tile cancels a + tile, so each − tile is worth −1: n − tiles have the value −n, and −n cancels n. To make a negative value you need that many more − tiles than + tiles.
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Making Integers
Whole numbers and their negatives are the integers. More + tiles than − tiles make a positive integer, more − tiles than + tiles a negative one, and the same number of each makes 0.
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Addition
To add integers with tiles, combine the + tiles and the − tiles of both numbers and see what cancels: whatever is left is the sum.
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Level Check
Ten questions on Level 1: values of tiles, sums with negative numbers, and tiles placed to make a value.
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II
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III
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IV
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V
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VI
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VII
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VIII
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