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This is a lesson on comparing fractions using these methods:
* Comparing Numerators (when denominators are the same)
* Comparing Denominators (when numerators are the same)
* Comparing to a Benchmark Number (1/4, 1/2, 3/4)
* Comparing the Missing Piece
I included a notes page that gives examples of these methods, that I usually go over one at a time with students as they take notes and practice examples on whiteboards.
The worksheet I made gives 18 problems with each of these types of comparisons. Students are asked to compare the two fractions in each problem in these 3 ways:
1) Reasoning (explaining which of the 4 methods listed above could apply and why)
2) Numerically (students find a common denominator and find an equivalent fraction, by which to compare)
3) Pictorially (students will shade in each fraction for a visual comparison)
By doing it each of these ways, students have three different opportunities to compare the fractions.
You can use this worksheet in a number of ways-- I usually do the first side with them, and then have them work individually or in partners on the other side, using the front as a reference.
I also included the blank chart if you wanted to plug in your own fraction problems, matching your students' skills. There is also an answer key, and you will find that some problems have more than one Reasoning method to compare.
This can be very difficult for students, and should be taught in more than one day! Students should already have an understanding of fractions and basic skills, such as finding a common denominator and equivalent fractions.