6.4(B): Apply qualitative and quantitative reasoning to solve prediction and…
Apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates.
The Texas Essential Knowledge and Skills (TEKS) for Mathematics outcome 6.4(B) (Proportionality) for Grade 6 says: “Apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates.” This Fieldbook unit teaches it hands-on, with everyday materials and a printable teacher guide and student sheet for every lesson. Official wording: Texas Essential Knowledge and Skills (TEKS) for Mathematics.
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.
- 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 6.4(B)
These pages practise a closely related idea; the match to 6.4(B) 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.
Need just this outcome? Build a custom pack from these pages, with its answer key, in about a minute. Custom packs come with All-access and school licences.
Compared with Common Core: 6.RP.A.3 (partial).
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