6.5(A): Represent mathematical and real-world problems involving ratios and…

Mix It, Pace It: Ratio, Rate and Percent Grades 6–7

Why doesn't the big batch of paint match? Who walks fastest? Is the bigger pack or the bigger percent off really the better deal? Does twice the time mean twice the distance? Four lessons where students mix, walk, shop and graph their way to ratios, unit rates, percents and proportional relationships.

• Why doesn't the big batch match? 50–60 min

  Teams mix a green paint from 2 spoons of blue and 3 of yellow, then try to make a bigger batch that matches. Adding 2 more spoons of each gives a different green; doubling both gives a perfect match. Students explain ratios, equivalent ratios and ratio tables, and part-to-part and part-to-whole ratios.

• Does twice the time mean twice the distance? 50–60 min

  A walker moves at a steady pace while teammates mark where they are every 5 seconds, then the class graphs distance against time. A steady walker's points make a straight line through zero, but a walker with a head start doesn't. Students identify proportional relationships from tables and graphs, find the constant of proportionality and write it as an equation.