Math Foundations
Fractions
Cut the world into equal parts — then learn to put it back together.
THE SYLLABUS
I
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Finding Half
Colour one half of a shape, however it's cut.
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Combining Parts
Combine unequal pieces — even triangles — to make a fraction.
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Splitting Parts
A unit fraction is one of the SMALL equal parts — not any big region. Split a big piece into equal parts to read a fraction.
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Splitting and Combining
To make a fraction you can split a big piece OR combine small pieces. Pieces of the same size count equally, even when their shapes differ.
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Equal Parts
You can only name a fraction when the whole is cut into EQUAL parts — equal-looking is not enough.
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Level Review
Prove the whole level on fresh shapes — colour, combine, split, and judge equal parts on your own.
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II
🔒 7 lessons
🔒 Different fractions, same amount — sixths & twelfths, making and simplifying equivalents.
III
🔒 6 lessons
🔒 Tell which fraction is larger and prove it — numerators, denominators, the number line.
IV
🔒 6 lessons
🔒 Combine fractions correctly — like parts, unlike parts, and why a common denominator is needed.
V
🔒 7 lessons
🔒 A fraction of a fraction — the area model, unit fractions, and the full procedure.