1. UMI Problem Solving + Mathematical Sense Making = Success

2. OUTCOMES Participants will deepen their understanding of mathematics by connecting real world situations with word problems Participants will deepen their understanding of mathematics by connecting real world situations with word problems Participants will gain strategies for solving word problems by creating visuals to aid in comprehension Participants will gain strategies for solving word problems by creating visuals to aid in comprehension Participants will use reasonableness when responding to word problems and checking for understanding Participants will use reasonableness when responding to word problems and checking for understanding

3. PROBLEM SOLVING Crystal is painting her grandmother’s fence. She can paint 1/6 of the fence in 30 minutes. Crystal will start painting the fence at 8:30 in the morning. Her grandmother wants to take Crystal to a movie at noon as a thank you for working so hard. Will Crystal be done painting the entire fence in time to go to the movie with her grandmother? Crystal is painting her grandmother’s fence. She can paint 1/6 of the fence in 30 minutes. Crystal will start painting the fence at 8:30 in the morning. Her grandmother wants to take Crystal to a movie at noon as a thank you for working so hard. Will Crystal be done painting the entire fence in time to go to the movie with her grandmother? Fence Painting

4. MAKE A CONNECTION Crystal is painting her grandmother’s fence. She can paint 1/6 of the fence in 30 minutes. Crystal will start painting the fence at 8:30 in the morning. Her grandmother wants to take Crystal to a movie at noon as a thank you for working so hard. Will Crystal be done painting the entire fence in time to go to the movie with her grandmother? Crystal is painting her grandmother’s fence. She can paint 1/6 of the fence in 30 minutes. Crystal will start painting the fence at 8:30 in the morning. Her grandmother wants to take Crystal to a movie at noon as a thank you for working so hard. Will Crystal be done painting the entire fence in time to go to the movie with her grandmother? How can you relate this to real life? What would you visualize? What objects do you see? What does one need to know BEFORE trying to solve the problem? What does one need to know BEFORE trying to solve the problem?

5. PROBLEM SOLVING Revisit Word Problem (reread) Crystal is painting her grandmother’s fence. She can paint 1/6 of the fence in 30 minutes. Crystal will start painting the fence at 8:30 in the morning. Her grandmother wants to take Crystal to a movie at noon as a thank you for working so hard. Will Crystal be done painting the entire fence in time to go to the movie with her grandmother? What Do You Need to Know? Vocabulary—fence, noon, entire Skill: Entry level understanding of fractions How many 1/6 in one whole Minutes vs Hours Answer the Question! Will Crystal have enough time to go to the movie?

6. PROBLEM SOLVING Crystal is painting her grandmother’s fence. She can paint 1/6 of the fence in 30 minutes. Crystal will start painting the fence at 8:30 in the morning. Her grandmother wants to take Crystal to a movie at noon as a thank you for working so hard. Will Crystal be done painting the entire fence in time to go to the movie with her grandmother? Use Manipulatives Manipulatives will help promote a visual and provides an opportunity for tactile learners.

7. PROBLEM SOLVING Data Tables are useful to find trends and patterns. Data Tables are useful to find trends and patterns. Number Lines are great to show equal division of an object. Number Lines are great to show equal division of an object. 1/6 8:30 - 9:009:00 - 9:309:30 - 10:0010:00 - 10:3010:30 - 11:0011:00 - 11:30 1/6 (9am) 1/6 (9:30) 1/6 (10am) 1/6 (10:30) 1/6 (11am) 1/6 (11:30)

8. PROBLEM SOLVING Real Life Clock Manipulative Pie Chart

9. PROBLEM SOLVING Crystal is painting her grandmother’s fence. She can paint 1/6 of the fence in 30 minutes. Crystal will start painting the fence at 8:30 in the morning. Her grandmother wants to take Crystal to a movie at noon as a thank you for working so hard. Will Crystal be done painting the entire fence in time to go to the movie with her grandmother? Crystal is painting her grandmother’s fence. She can paint 1/6 of the fence in 30 minutes. Crystal will start painting the fence at 8:30 in the morning. Her grandmother wants to take Crystal to a movie at noon as a thank you for working so hard. Will Crystal be done painting the entire fence in time to go to the movie with her grandmother? ANSWER THE QUESTION! Yes, Crystal will be done painting the entire fence in time to go to the movie with her grandmother because…. Always use data (visuals, algorithm, or other strategies you used) to answer question. BECAUSE she painted 1/6 of a fence in 30 minutes and it took her three hours to paint the entire fence. So, Crystal finished painting at 11:30am.

10. PROBLEM SOLVING Now your turn! Now your turn! Select a different strategy and solve the problem. Answer using reasonableness—Be sure to prove answer by including your data as part of your answer. Select a different strategy and solve the problem. Answer using reasonableness—Be sure to prove answer by including your data as part of your answer.