MA.6.AR.3.5: Solve mathematical and real-world problems involving ratios, rates…

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.

• Who walks fastest? 50–60 min

  Students time themselves walking 20 m and count their steps, then work out metres per second, steps per second and metres per step. The surprise: the walker who takes the most steps per second is often not the fastest. Students explain rates and unit rates, compare them, and convert metres per second to kilometres per hour.

• Which is the better deal? 45–60 min

  Teams shop from printed store cards, working out the price of one notebook or one litre to find the real best buys, and discover that the bigger package isn't always cheaper and the bigger percent off doesn't always save more money. Students use unit prices, percent as a rate per 100, and find a part, a whole or a percent.

Printable practice for MA.6.AR.3.5

These pages practise a closely related idea; the match to MA.6.AR.3.5 is partial.

• Mix It, Pace It: Ratio, Rate and Percent workbook included with the unit

  4 English-support pages, 4 practice pages, 4 readings, 1 word wall, 1 unit review, 1 unit test, with answer keys.

• Grade 5 Common Core Math: Number and Operations printable pack

  3 assessments, 2 practice pages, with answer keys. Free sample.

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