1. Division of Fractions Balancing Procedural and Conceptual Knowledge Tuesday December 6, 2011 Common Core Leadership in Mathematics (CCLM) Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

2. Troubles with Fractions? Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

3. Learning Intentions Deepen conceptual understanding of division of fractions. Unpack the CCSS standards about division of fractions Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

4. Success Criteria We will know we are successful when we can  Justify our thinking when dividing fractions using reasoning and models.  Clearly explain and provide examples for specific CCSS-M standards Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

5. Launch: Popcorn Party #1 Serving Size: 1/2 cup of popcorn How many servings can be made from: 1 cup of popcorn 2 cups of popcorn 3 1/2 cups of popcorn Have we done problems like this in the whole number world? Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

6. Explore: Popcorn Party #2 Serving Size: 1/3 cup of popcorn How many servings can be made from: 1 cup of popcorn 2 cups of popcorn 3 2/3 cups of popcorn Individually solve each problem using reasoning and models As a group, take turns and share your reasoning Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

7. Explore #2: Juice Party Serving Size: 1/2 gallon of juice How can I divide that among: 2 friends 5 friends Individually solve each problem using reasoning and models As a group, take turns and share your reasoning Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

8. Standard 5NF 7 5NF7a… write the story with representation 5NF7b… write the story with representation 5NF7c… Solving problems, write equations Divide your slate in half. On one side, rephrase these standard and on the other side, provide an example. Share with your partner. Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

9. Break Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011- 2012 School Year

10. An Important Cluster in 6 th Grade Apply and Extend Previous Understanding of Multiplication and Division to Divide Fractions by Fractions Identify 3-4 previous understandings from 3 rd - 5 th grade around multiplication and division that students would be expected to apply. Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

11. Division of Fraction Standard Examine 6.NS.1 In a group of 3, on your slates, draw a visual model for each example given in the standard in italics. (For example) Then write the equation for each example to solve the problem. Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

12. Task : Popcorn Party #3 Serving Size: 3/4 cup of popcorn How many servings can be made from: Individually solve each problem using reasoning and models (don’t forget the tape diagram). As a group, take turns and share your reasoning 2 1/4 cups of popcorn 5 cups of popcorn 4 cups of popcorn Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

13. Let’s Check Our Understanding Estimate Greater than 5? Equal to 5? Less than 5? Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

14. Computational Procedures What procedure do you use to divide fractions? Write an example of it on your slate. Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

15. Several Procedures for Division of Fractions The common denominator method Dividing component parts. Invert and Multiply Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

16. The Common Denominator Method Have you ever used this? Does it always work? Make up division problems to decide when you can use this algorithm. Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

17. Several Procedures for Division of Fractions The common denominator method Dividing component parts. Invert and Multiply Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

18. Dividing Component Parts Method Have you ever used this? Does it always work? Make up division problems to decide when you can use this algorithm. Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

19. Several Procedures for Division of Fractions The common denominator method Dividing component parts. Invert and Multiply Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

20. Invert and Multiply Method Have you ever used this? Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year

21. Why can we “invert and multiply”? Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year Discuss this question with your shoulder partner. Record your answer on your slate Share your answer with the whole table.

22. Short Readings Homework Grade 3 2 nd narrative p. 21 Grade 4 2 nd narrative p. 27 Grade 5 1 st narrative p. 33 Grade 6 2 nd narrative p. 39 What did you notice? Give some examples of key advances from one grade to the next. Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011- 2012 School Year

23. Success Criteria We will know we are successful when we can  Justify our thinking when dividing fractions using reasoning and models.  Clearly explain and provide examples for specific CCSS-M standards Common Core Leadership in Mathematics Project, University of Wisconsin-Milwaukee, 2011-2012 School Year