Writing Equation of a Proportional Relationship
by The Swift Bird © 2025
Price: $3.5 USD
Subjects: math,proportionalRelationships,ratiosAndProportionalRelationships,mathMiddleSchool
Grades: 6,7,8
Description
Writing equation for a proportional relationship and finding constant of proportionality. Build rock-solid understanding of unit rate (k) and equations of proportional relationships—all in plain, real-life language. Students read short scenarios (parking, groceries, recipes, maps, jobs, etc.), find the constant of proportionality with units (e.g., $ per hour, miles per hour, cups per cake), and then write the simple rule in words (and as y = kx if you enable that prompt). What students do 1. Identify the unit rate (k) from a single data point (e.g., “$37.95 for 11 gallons” → $3.45/gal). 2. Write a equation, Convert the rule to y = kx with clearly defined variables. What’s inside 20 self-checking cards A mix of integers and decimals to prevent guess-and-check. Common-mistake distractors (flipped rates, added intercepts) to reinforce the origin test idea for proportionality. Why teachers love it 1. Perfect bridge from rates & ratios to equations/graphs (no graph reading required here—pure word problems). 2. Great for warm-ups, stations, or quick checks before moving to graph-based y = kx lessons. 3. Clear unit reasoning keeps students honest about “of what per what.” Standards alignment (CCSS) 6.RP.A.1–3 , 7.RP.A.2