Home Free Printables Math 7th Grade Proportional relationships and the constant of proportionality — Take-Home — 7th Grade Preview — download the full PDF for print-quality output
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Proportional relationships and the constant of proportionality — Take-Home — 7th Grade Recognises proportionality in tables, graphs and equations, and identifies k in y = kx. This one-page 7th Grade take-home carries the two-minute check that tells you whether the skill is wobbly, then "Three Ways to Spot It" — 25 minutes with graph paper, real data: pay rates, phone plans, recipes —…
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Proportional relationships and the constant of proportionality MATH · 7TH GRADE Name Date TAKE-HOME PRACTICE Math · 7th Grade 25 minutes WHAT THIS BUILDS Recognises proportionality in tables, graphs and equations, and identifies k in y = kx. 1 THE TWO-MINUTE CHECK ASK "Is this proportional?" with two tables, one with a fixed fee. "What's k in each?" A SOLID ANSWER Only the one through the origin, with k identified as the constant ratio. Not yet Getting there Solid 2 THREE WAYS TO SPOT IT You need: Graph paper, Real data: pay rates, phone plans, recipes Take a real pay rate and build a table of hours and earnings. Check every row for the same y ÷ x. That constant is k. Graph it — it must be a straight line through the origin. Now do a phone plan with a monthly fee. Same straightness, no origin, not proportional. Write both as equations and compare y = kx with y = kx + b. SAY THIS WHEN IT STALLS "Divide y by x in every row. Same answer every time? Then it's proportional — and that number is k." Tables only, checking the ratio row by row. Given a graph, extract k and write the equation, then predict beyond the data. IF IT'S TOO HARD IF IT'S TOO EASY Did it M T W T F Full year of take-homes: www.littleactivity.com/takehome/grade-7 www.littleactivity.com 7th Grade · Math
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Proportional relationships and the constant of proportionality MATH · 7TH GRADE Name Date TAKE-HOME PRACTICE Math · 7th Grade 25 minutes WHAT THIS BUILDS Recognises proportionality in tables, graphs and equations, and identifies k in y = kx. 1 THE TWO-MINUTE CHECK ASK "Is this proportional?" with two tables, one with a fixed fee. "What's k in each?" A SOLID ANSWER Only the one through the origin, with k identified as the constant ratio. Not yet Getting there Solid 2 THREE WAYS TO SPOT IT You need: Graph paper, Real data: pay rates, phone plans, recipes Take a real pay rate and build a table of hours and earnings. Check every row for the same y ÷ x. That constant is k. Graph it — it must be a straight line through the origin. Now do a phone plan with a monthly fee. Same straightness, no origin, not proportional. Write both as equations and compare y = kx with y = kx + b. SAY THIS WHEN IT STALLS "Divide y by x in every row. Same answer every time? Then it's proportional — and that number is k." Tables only, checking the ratio row by row. Given a graph, extract k and write the equation, then predict beyond the data. IF IT'S TOO HARD IF IT'S TOO EASY Did it M T W T F Full year of take-homes: www.littleactivity.com/takehome/grade-7 www.littleactivity.com 7th Grade · Math
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