Lesson plan

Recognize and generate equivalent fractions by using linear models

teaches Common Core State Standards CCSS.Math.Content.4.NF.A.1 http://corestandards.org/Math/Content/4/NF/A/1
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP5 http://corestandards.org/Math/Practice/MP5
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Big Ideas: There are an infinite number of different names for a given fraction. Saying two fractions are equivalent is saying that the two fractions are different names for the same quantity. This lesson builds on the third grade work of comparing simple fractions by reasoning about their size. The task uses linear models to demonstrate the equivalence of fractions. Students imagine a treasure hunt where three groups of children each get clues at different points along a trail. They must use their knowledge of equivalent fractions to determine at which points along the trail all three groups of children will get clues. This lesson builds towards understanding addition and subtraction of fractions as joining and separating parts referring to the same whole. Vocabulary: fraction, whole, numerator, denominator, equivalent, compare, number line