In this small class learners will learn how to use mathematical reasoning to compare fractions.  I have taught third and fourth grade for three years and have experienced great success in the classroom with this lesson! 

Class will start by spending the first 5 minutes reviewing basic fraction vocabulary and examples.  Then as a group we will discuss different prompts and decide which fraction is more favorable.  For example, would you rather eat 1/8 of your favorite cake or 1/3 of your favorite cake? Students will debate which fraction is larger or smaller and explain their reasoning through a math talk.  Math talks are great ways to share thinking and debate.  The small group ensures that every child will get the opportunity to share their thinking and participate. At the end of each debate I will use different fraction models (fraction bars, fraction circles, number lines) to show the comparison between both fractions.  Then as a group we will decide which fraction is larger, smaller or if they are equal. Finally, as a class students will come up with a "rule" that they can use to compare fractions.  By the end of class students will be familiar with three different fraction comparison rules.  

After this class your learner will be able to not only compare fractions using different strategies but also explain their answer using mathematical reasoning. The only thing needed to take this class is basic understanding of fractions, for example, being able to identify and explain the difference between a numerator and denominator.  By the end of class they will be able to think about fractions beyond just numerators and denominators.