Today's Goal: Today students will be able to use unit rates to compare ratios to determine if they are equivalent (the same). They will also be able to use equivalent fractions to compare rates and ratios to determine if they are equivalent.
There are two ways to determine if a pair of rates are equivalent.
First you can use the unit rates. Find the unit rate of each rate. If the unit rates are the same, the rates are equivalent.
Second, make the rates into fractions and see if the fractions are equivalent.
Let's talk unit rates first. In lesson #3 we talked about how to find the unit rate, that is, a denominator of one. Let's say we are shopping for shorts. In one store we can get 2 pairs of shorts for $18. In another store we can get 3 pairs for $27. Which is the better deal or are they the same?
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Now let's do one using the equivalent fraction method.
Let's say we have 30 students in our homeroom. Of those 30 students 16 are girls. In the whole 6th grade class there are 60 students and 34 of these students are girls. Are the rates equal? Let's set the rates up as fractions.