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Compare NonEquivalent Fractions
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 We'll learn how to compare fractions using benchmarks.
 That we can also compare fractions by finding common denominators.
 And we'll discover that this knowledge can help us share a snack, track the battery life on our electronics, and compete in sports!

Discussion Questions
 Before VideoWhat does the denominator tell you in a fraction?ANSWER
How many equalsized pieces the whole is divided into.
How many equalsized pieces we have.
[ggfrac]4/6[/ggfrac], [ggfrac]6/9[/ggfrac], [ggfrac]8/12[/ggfrac]. I can find equivalent fractions by multiplying both the numerator and denominator in [ggfrac]2/3[/ggfrac] by any number, as long as it is the same number.
Since 6 × 4 is 24, I also need to multiply 5 by 4 to get an equivalent fraction. The equivalent fraction is [ggfrac]20/24[/ggfrac].
20 is a multiple of 5, so I can multiply the denominator, 5, by 4 to get 20. [ggfrac]2x4/5x4[/ggfrac] = [ggfrac]8/20[/ggfrac]. The fractions are equivalent.
 After VideoWhat benchmark fraction can you use to compare [ggfrac]1/3[/ggfrac] and [ggfrac]3/4[/ggfrac]? Why? ANSWER
I can use [ggfrac]1/2[/ggfrac] as a benchmark fraction. [ggfrac]1/2[/ggfrac] = [ggfrac]2/4[/ggfrac], so [ggfrac]3/4[/ggfrac] is more than [ggfrac]1/2[/ggfrac]. Since [ggfrac]1/3[/ggfrac] is less than [ggfrac]1/2[/ggfrac], we know that [ggfrac]3/4[/ggfrac] is greater than [ggfrac]1/3[/ggfrac].
[ggfrac]1/2[/ggfrac] is not very useful because both [ggfrac]4/5[/ggfrac] and [ggfrac]6/7[/ggfrac] are greater than [ggfrac]1/2[/ggfrac].
Denominators tell the size of the unit, so if I have two different denominators, it is like comparing different numbers of differentsized slices.
I can find equivalent fractions for each fraction until I find two that have the same denominator.
I could cut the slice in the first lasagna into three equalsized pieces, and cut each of the slices in the second lasagna into two equalsized pieces. Now each of the lasagnas can be expressed using 6 as a denominator.

Vocabulary
 Fraction DEFINE
A number that represents a part of a whole.
 Numerator DEFINE
The top number in a fraction, which tells us how many parts have been counted.
 Denominator DEFINE
The bottom number in a fraction, which tells us how many parts are in the whole.
 Equivalent fractions DEFINE
Fractions that represent the same amount.
 Nonequivalent fractions DEFINE
Fractions that represent different amounts.
 Benchmark fraction DEFINE
A familiar fraction that we can compare other fractions to.
 Common denominator DEFINE
Having the same denominator in two fractions.
 Fraction DEFINE

Reading Material

Practice Word Problems

Practice Number Problems

Lesson Plan

Teacher Guide