# Solve real-world problems involving multiplication of fractions and mixed numbers by using visual ### Cluster

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Evidence of Learning Statements

 Students with a level 1 understanding of this standard will most likely be able to: Students with a level 2 understanding of this standard will most likely be able to: Students with a level 3 understanding of this standard will most likely be able to: Students with a level 4 understanding of this standard will most likely be able to: Solve real-world word problems involving multiplication of a whole number by a fraction when a visual fraction model is provided. Solve real-world word problems involving multiplication of a fraction by a whole number when a visual fraction model is provided. Solve real-world word problems involving multiplication of fractions and mixed numbers, and represent them using visual fraction models and equations. Justify solutions to real-world problems involving multiplication of fractions and mixed numbers by providing visual fraction models or equations. Create a story context for multiplication of fractions and mixed numbers.

Instructional Focus Statements

Level 3:

Students need opportunities to use modeling strategies while solving real-world problems. It is imperative that mathematical modeling is the guiding pathway for the solution to the problem and that it does not become an afterthought to the problem.

Students should interact with contextual problems that elicit multiplying fractional amounts with increasing rigor over the course of instruction. Contextual problems should be framed in multiple ways. A good resource is the “common multiplication and division situations” document embedded in the Tennessee mathematics standards. Additionally, by the end of grade 5, students should be able to represent the contextual problem with an equation.

Level 4:

Students should justify the reasonableness of solutions to contextual problems by employing number sense coupled with their conceptual understanding of scaling. Students should engage in conversations in which they justify their solutions using mathematical, sound reasoning. Additionally, students should be encouraged to develop real-world problems to match a provided expression involving the multiplication of fractions.