Lesson plan

Compare fractions using a number line

teaches Common Core State Standards CCSS.Math.Content.3.NF.A.3d http://corestandards.org/Math/Content/3/NF/A/3/d
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
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Big Ideas: A fraction describes the relationship between the part and the whole. Comparisons with any model can only be made when both fractions are a piece of the same sized whole. This lessons builds on students' work with fractions. This task uses a scenario in which students are competing in a race. Students are presented with the distance each person ran and asked to determine who ran the longest distance by comparing the fractional amounts. By comparing the distance run, students are forced to reason about the size of the fraction and justify their reasoning using a number line. The mathematical concepts in this lesson build towards students' future work with solving problems that involve comparing fractions by using strategies based on noticing equal numerators and denominators. Vocabulary: number line, fraction, equivalent, numerator, denominator, compare Special Materials: Blank number line (optional) Counters to manipulate on the number line (optional)