6.RP.3- Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
6.RP.3A- Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
The following document uses Ratio Tables to help students find equivalent ratios. The unit rate is given, and they must use that to help them find the unknown quantity to complete the ratio. You use the boxes to fill in equivalent ratios. For instance, for the first problem that starts with 15 boys for every 1 girl, you could easily find out there are 30 boys for every 2 girls (this gets filled in in the next boxes), or to find out how many boys there are for 5 girls you can multiply 15x5= 75. Know you know there are 75 boys for every 5 girls, you can double those numbers to find out there are 150 boys for every 10 girls. By putting the girls numbers together (10+5+2 to get 17), you can add the corresponding boys numbers together to find out there are 255 boys for every 17 girls.
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6.RP.3B- Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?
The following lesson plan and worksheet will have students practice finding the unit rate of items found at the grocery store and decide which is the better buy based on the lower unit price.
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6.RP.3C- Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
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