The purpose of the lesson is to help students understand the multiplication and division of mixed fractions. In everyday life, we have to multiply and divide fractions. For example, when we measure items, we are ultimately dividing fractions. Another real world example of when you would divide fractions is if there is a family with limited money for food, they must think about how to ration out food evenly for the entire family for the day, the week, or even the month. Dividing fractions is a real-world skill that helps to solve everyday problems.
At the end of this lesson, students will be able to apply the concepts of fractions and division in order to apply these skills to real world math problems that require multiplication and division of fractions.
Student Target
I can multiply mixed numbers.
I can divide mixed numbers.
CCR Focus Standards
Number and Ratios - Level C
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
Supporting Standards
Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)
Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
Standards for Mathematical Practice
Model with mathematics. (MP.4)
Use appropriate tools strategically. (MP.5)
Look for and make use of structure. (MP.7)
KYAE Employability Standards
E.5 Utilize resources responsibly.
E.6 Identify and effectively use skills and materials needed for a particular task.
E.7 Accurately analyze information and respond appropriately.
