This set of lessons/activities should be used during the first week of a multiplying fractions unit in grade 5. It focuses on both the content standards and math practice standards appropriate for this unit.
Using the Area Model
(Math Practice 4)
Connections to Whole Number Operations and the Commutative Property
(Math Practice 7)
(Math Practice 1 & 2)
Addition and Subtraction of Fractions Practice
(5.NF.1 & 2)
Lesson #1 - Students will consider a series of story problems and determine that a new operation is needed (besides addition and subtraction). They will then explore some whole number diagrams and drawings, and connect the notion of “groups of” for whole numbers to “part of a part”for fraction work. By purposefully creating area models for commutative facts, they will see that while the products are the same, the models are very different.
Lesson #2 and #3 - Students will continue to read some story problems to determine the operation that is required, and to continue to practice addition and subtraction of fractions during this new unit. Students will also model more commutative facts in order to appreciate the relationship described above.
Lesson #4- Students can work in homogeneous groups and complete either the green (simple benchmark fractions and single step problems), blue (grade level appropriate fractions with two-step scaffolded problems) or yellow (challenge problems) versions of this activity. Another option for this set involves students working in heterogeneous partners and completing these activities in order from green to blue to yellow.