Mathematics · Classes 7
Fractions that combine
Why can multiplying by a fraction make a number smaller?
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Opening your next discovery…
Make patterns visible. Test a conjecture, compare representations and explain why it works.
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Why can multiplying by a fraction make a number smaller?
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Mapping provisionalOpen investigation →Can a reflected triangle still be congruent to its original?
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Revisit representations before applying operations to fractional quantities.
Keep a signed algebraic equation equivalent through valid operations, then check a new solution in the original expressions.
Can different fractions describe the same amount?
Split, compare and discover why different fractions can name the same amount.
Does doubling the quantity always double the total?
Scale a quantity and its cost, then test a fixed-fee counterexample.
Which changes preserve an equation’s possible solutions?
Keep a signed algebraic equation equivalent through valid operations, then check a new solution in the original expressions.
Concepts connect across chapters, classes and subjects.
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Suggested next: The fraction studioOpen a lab and change a variable. Your learning trail will begin here.
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2026–27 reprint prelims inspected. Chapter 8 is Working with Fractions.