The purpose of this lesson is to learn how to solve problems by comparing unit rates.
Included is a YouTube video to support Grade 8 Blended Learning Math - Unit 5.10: Percent, Ratio and Rate - Comparing Rates.
This task requires students to work with unit rates.
This problem requires a comparison of rates where one is given in terms of unit rates, and the other is not.
PhET Sims are now available in HTML5 as well!
Simulations can be sorted by subject area or grade. This is very helpful.
PhET is a collection of interactive computer simulations for teaching and learning physics, chemistry, math, and other sciences.
Simulations can be used directly on the site or downloaded and used that way.
The simulations are animated, interactive, and game-like environments where students learn through exploration. They emphasize the connections between real-life and the underlying science. These great activities help students visualize abstract concepts!
The battle is on in this game where you build your own potions! Check your ratios to win this mixture mix-off. Ratio Rumble guides students in: identifying ratios when used in a variety of contextual situations; providing visual representations of ratios; solving common problems or communicating by using rate, particularly unit rates; and explaining why ratios and rates naturally relate to fractions and decimals.
Parts (a) and (b) of the task ask students to find the unit rates that one can compute in this context. Part (b) does not specify whether the units should be laps or km, so answers can be expressed using either one.
This problem is the fifth in a series of seven about ratios. In the first problem students define the simple ratios that exist among the three candidates. It opens an opportunity to introduce unit rates. The subsequent problems are more complex. In the second problem, students apply their understanding of ratios to combine two pools of voters to determine a new ratio. In the third problem, students apply a known ratio to a new, larger pool of voters to determine the number of votes that would be garnered.