Essential Questions: How is multiplying or dividing whole numbers similar to multiplying or dividing fractions? How are multiplication, division, whole numbers, and fractions related? What is the relationship between division of whole numbers and multiplication of fraction reciprocals? How can multiplication of a whole number by a fraction be modeled? How can a whole number be multiplied by a fraction? How can multiplying fractions be modeled using area, a number line, or measurement models? How can dividing fractions be modeled using area, sets, or a number line? How is multiplication of fractions similar to repeated addition of fraction? What is the relationship between multiplication by a fraction and division? How can multiplication and division of fractions be used to represent and understand real-world, and mathematical problems? Lesson Plans and Seeds Lesson Plan B.4a: Multiplication of Fractions Lesson Plan B.6: Problems with Fractions Lesson Seed B.3: Multiply and Divide Fractions Lesson Seed B.4b: Find Areas with Fractional Side Lengths Lesson Seed B.5a-b: Interpret Multiplication as Scaling Lesson Seed B.6: Application of Multiplication and Division of Fractions Download Seeds, Plans, and Resources (zip) Unit Overview Content Emphasis By Clusters in Grade 5 Progressions from Common Core State Standards in Mathematics Send Feedback to MSDE’s Mathematics Team
Lesson Plan B.4a: Multiplication of Fractions
Lesson Plan B.6: Problems with Fractions
Lesson Seed B.3: Multiply and Divide Fractions
Lesson Seed B.4b: Find Areas with Fractional Side Lengths
Lesson Seed B.5a-b: Interpret Multiplication as Scaling
Lesson Seed B.6: Application of Multiplication and Division of Fractions
Unit Overview
Content Emphasis By Clusters in Grade 5
Progressions from Common Core State Standards in Mathematics
Send Feedback to MSDE’s Mathematics Team
Lesson seeds are ideas that can be used to build a lesson aligned to the CCSS. Lesson seeds are not meant to be all-inclusive, nor are they substitutes for instruction. When developing lessons from these seeds, teachers must consider the needs of all learners. It is also important to build checkpoints into the lessons where appropriate formative assessment will inform a teachers instructional pacing and delivery.
Lesson Plan: 5.NF.B.6 Problems with Fractions
Unit/Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Lesson Topic: Multiplying fractions by fractions and fractions by mixed numbers.
Focus Standard(s)
It is critical that the Standards for Mathematical Practices are incorporated in ALL lesson activities throughout the unit as appropriate. It is not the expectation that all eight Mathematical Practices will be evident in every lesson. The Standards for Mathematical Practices make an excellent framework on which to plan your instruction. Look for the infusion of the Mathematical Practices throughout this unit.
Coherence of Standards Across-Grade Coherence: Content Knowledge from Earlier Grades
Within-Grade Coherence: Content from Other Standards in the Same Grade that Provide
Enduring Understandings
Student Outcomes
Students will be able to solve multiplication of fractions by using various methods.
Method for Determining Student Readiness for the Lesson
Use models and drawings to develop your answers.
The fifth grade raised $126.00 for the school fundraiser. If of the money was raised by your class, how much money was raised by your class?
If of the students in the school participated in the fundraiser and of the participants were girls, what fraction of the students in the school who participated in the fundraiser were girls?
Learning Experience
