First, students will be introduced to unit rates, by seeing instances of unit rates in the real-world. As examples, miles-per-hour, or cost-per-gallon. Have students think of others. Here's a good video on that. Next, students will learn how ratios and fractions are connected to unit rates. For example, if a recipe has a ratio of 3 cups of flour for every 4 cups of sugar, then there is 3/4 cup of flour for every cup of sugar. If you paid $60 for 5 hamburgers, then you paid $12 for each hamburger. Do not provide problems involving complex fractions. In other words, do not provide problems where fractions appear in the numerator or denominator.
Why are variables italicized in the Common Core standards preceding this one, but not here?
Watch these Khan Academy videos:
Next, give your students these challenges:
Conclude by leading this investigation:
Mondrian Art Puzzles (multiplication, algebra)
6.RP.A.2: Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. For example, "This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar." "We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger." Expectations for unit rates in this grade are limited to non-complex fractions.