8.N.4: Demonstrate an understanding of ratio and rate (an adjacent-grade…
Demonstrate an understanding of ratio and rate (an adjacent-grade match).
The Manitoba Mathematics, Kindergarten to Grade 8 outcome 8.N.4 (Number) for Grade 8 says: “Demonstrate an understanding of ratio and rate (an adjacent-grade match).” This Fieldbook unit teaches it hands-on, with everyday materials and a printable teacher guide and student sheet for every lesson. Official wording: Manitoba Mathematics, Kindergarten to Grade 8.
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.
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