⁦Fourth proportional and double reduction to unity⁩

⁦Solve problems by the method of ratios and by reduction to unity, and problems with two changes⁩. Section: ⁦Grade 4, fourth proportional and double reduction to unity; motion and joint work are in another studio⁩.

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الدليل

⁦In Grade 4 pupils solve problems where three numbers are known and the fourth is wanted (fourth proportional)⁩. ⁦Two methods work⁩: ⁦the method of ratios and reduction to unity⁩.

⁦Method of ratios⁩: ⁦3 tablecloths need 10 m of fabric; how many metres for 6⁩? ⁦There are 6 : 3 = 2 times more cloths, so 2 times more fabric⁩: ⁦10 · 2 = 20 (m), or 10 · (6 : 3) = 20 (m)⁩.

⁦Reduction to unity⁩: ⁦first find the value for one unit, then for the wanted count⁩. ⁦In double reduction two quantities change; change one at a time, never both together⁩.