Learning Goal
Part of: Understand ratio concepts and use ratio reasoning to solve problems — 3 of 3 cluster items
Use ratio and rate reasoning to solve real-world and mathematical problems
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.
a. 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.
b. 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?
c. 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.
d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
-- Standard 6.RP.A.3
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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.
a. 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.
b. 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?
c. 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.
d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
-- Standard 6.RP.A.3
What you'll learn
- Generate a table of equivalent ratios from a given ratio, find a missing value in such a table, and plot the resulting ordered pairs on the coordinate plane, observing that the points are collinear through the origin.
- Compare two ratios using equivalent-ratio tables or by plotting both on the coordinate plane.
- Solve unit-rate problems involving constant speed and unit pricing -- given a rate, find a total; given a total and one quantity, find the rate.
- Find a percent of a quantity by treating the percent as a rate per 100; find the whole given a part and the percent.
- Convert measurement units within a system (customary or metric) using ratio reasoning, including multi-step conversions of rates (e.g., mi/hr to ft/sec).
Slides
Interactive presentations perfect for visual learners • 2 slide decks
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Task-sets
Learning resource • 1 task-sets