Problem Solving Classroom Orientation, Rules, and Expectations

1. Problem SolvingClassroom Orientation, Rules, and Expectations Mr. Parmer Room E5 2017-18

2. Course Goals • Execute problem-solving actions appropriate to completing a variety of case study assignments. • Apply critical reading to identify the meaning of information in a problem statement. • Apply analytical and logical thinking to extract facts from a problem description and determine how they relate to one another and to the problems to be solved. • Provide symbolic, verbal, and graphical interpretations of statements in a problem description. • Discuss different ways to solve a problem and choose which ones to implement.

3. Course Goals • Execute the mathematical operations required to solve a variety of problems, properly handling units of measurement. • Interpret answers obtained from mathematical operations and determine which, if any, are correct solutions. • After determining solutions to a problem, evaluate the methodology followed with regard to effectiveness and efficiency. • Work in team environments to complete specific group projects.

4. But, Most Importantly • Have fun while learning skills that will help you after high school!

5. So, What is Problem Solving?

6. What is Problem Solving?

7. What is Problem Solving? One Definition is: • The process of finding solutions to difficult or complex issues. • The process of working through details of a problem to reach a solution. Problem solving may include mathematical or systematicoperations and can be a gauge of an individual'scritical thinkingskills.

8. What is Problem Solving? Problem Solving is figuring out what to do when you don’t know what to do. Simply put …

9. Why Problem Solve? The ultimate goal of problem-solving is to overcome obstacles and find a solution that best resolves the issue.

10. So, what does that mean? • Problem Solving is a process, a way for you to: • Figure out what you know, • Identify any assumptions, • Determine what you need to find, • Select an appropriate tool or tools to help you, • Apply those tools to find the solution. Draw a Diagram Make a Systematic List Guess and Check Eliminate Possibilities

11. 4 Step Problem Solving Model

12. Step 1: Read It! Counts each corner twice!

13. Sample Problem – Rock Climbing Amy is just learning how to rock climb. Her instructor takes her to a 26-foot climbing wall for her first time. She climbs 5 feet in 2 minutes but then slips back 2 feet in 10 seconds. This pattern (up 5 feet, down 2 feet) continues until she reaches the top. How long will it take her to reach the top of the wall?

14. Step 2: Think It! Counts each corner twice!

15. Sample Problem – Rock Climbing Select a problem solving strategy: • Draw a diagram • Make a systemic list • Eliminate possibilities • Use matrix logic • Look for a pattern • Guess and check • Sub-problems • Solve an easier related problem • Unit analysis • Physical Representations • Work Backwards • Use Venn Diagrams • Algebra

16. Step 3: Solve It! Counts each corner twice!

17. Sample Problem – Rock Climbing 2 min 2 min +5 2 min 10 sec 2 min 10 sec 26 feet 2 min 10 sec 2 min 10 sec 2 min 10 sec 2 min 10 sec 2 min. x 8 = 16 min. 10 sec. x 7 = 70 sec. or 1 min. 10 sec. 16 min. + 1 min. 10 sec. = 17 min. 10 sec. 10 sec -2 -2 -2 -2 -2 -2 -2 +5 +5 +5 +5 +5 +5 +5

18. Step 4: Explain It! Counts each corner twice!

19. Sample Problem – Rock Climbing Each time Amy climbed, she was able to go up 5 feet before she slipped back 2 feet for a net gain of 3 feet. Repeating this pattern, I was able to show that by the time she reached 21 feet, her next climb would allow her to reach the top of the wall before she would have slipped back down. Using my diagram, I calculated she climbed up 5 feet 8 times and slipped back down 7 times. 8 times the 2 minutes climbing up equals 16 minutes plus the 7 times she slipped back multiplied by 10 seconds for 70 seconds (I minute, 10 seconds) for a total climbing time of 17 minutes and 10 seconds.

20. Sample Problem Write Up Rock Climbing Amy is just learning how to rock climb. Her instructor takes her to a 26-foot climbing wall for her first time. She climbs 5 feet in 2 minutes but then slips back 2 feet in 10 seconds. This pattern (up 5 feet, down 2 feet) continues until she reaches the top. How long will it take her to reach the top of the wall? 2 min 2 min +5 2 min 10 sec 2 min 10 sec 26 feet 2 min 10 sec 2 min 10 sec 2 min 10 sec 2 min 10 sec 2 min. x 8 = 16 min. 10 sec. x 7 = 70 sec. or 1 min. 10 sec. 16 min. + 1 min. 10 sec. = 17 min. 10 sec. 10 sec -2 -2 -2 -2 -2 -2 -2 +5 +5 +5 +5 +5 +5 +5

21. Sample Problem Write Up Each time Amy climbed, she was able to go up 5 feet before she slipped back 2 feet for a net gain of 3 feet. Repeating this pattern, I was able to show that by the time she reached 21 feet, her next climb would allow her to reach the top of the wall before she would have slipped back down. Using my diagram, I calculated she climbed up 5 feet 8 times and slipped back down 7 times. 8 times the 2 minutes climbing up equals 16 minutes plus the 7 times she slipped back multiplied by 10 seconds for 70 seconds (I minute, 10 seconds) for a total climbing time of 17 minutes and 10 seconds.

22. Grading • Each problem will be graded as follows: • Step 1 – Read It! (10 pts.) • Problem written out with facts highlighted and the question to be solved underlined. • Step 2 – Think It! (5 pts.) • Select an appropriate method for solving the problem. • Step 3 – Solve It! (15 pts.) • Show all of the steps/work used to solve the problem. • Step 4 – Explain It! (20 pts.) • Provide a good, written explanation of what you did to solve the problem and how you reached the conclusion that you did.

23. Problem Solving Classroom Administrative information

24. What do I need to bring to class? • Must haves: • Pen or Pencils • Spiral Interactive Notebook • Classwork and/or Homework due • Recommended: • Highlighters (at least two colors) • Colored pencil (red) • Basic supplies are your responsibility and will not be provided.

25. Notebooks • Must keep a spiral, interactive notebook and bring it to class every day. • All work (except for tests) will be done in your interactive notebook. • Checked/Graded weekly (turned in each Thursday). • Used for all note taking and daily classwork and/or homework. • You are encouraged to use the AVID style for all class notes.

26. What else do I need to bring to class? • Most important items to bring: • Positive attitude • Willingness to do what’s necessary to be successful • Excellence on Purpose!

27. Bell Schedule • 1st Period 8:00 to 9:00 • Passing 9:00 to 9:03 • 2nd Period 9:03 to 10:03 • Passing 10:03 to 10:06 • 3rd Period 10:06 to 11:06 • Passing 11:46 to 11:49 • 4th Period 11:09 to 12:09 • Lunch 12:09 to 12:49 • Passing 12:49 to 12:52 • 5th Period 12:52 to 1:52 • Passing 1:52 to 1:55 • 6th Period 1:55 to 2:55

28. Attendance/Credits • You earn 1 credit for every 10 hours of seat time in your assigned class as long as you have a 60% or better grade at the time grades are posted.

29. Perfect Attendance Bonus • For each period that you have perfect attendance for the grading period, you will receive a 0.5 credit bonus for that period

30. Tardies

31. Tardies • You are late to class if you are not inside the classroom by the time the bell rings. • Tardy to class = Loss of 30 minutes of class time • Tardies can be erased by serving the time missed with me during lunch or after school the day of the tardy

32. Assignments • Assignments will include a mix of • Classwork • Homework • Tests and Quizzes • All work (classwork and homework) is due NLT the start of class the following day. • Individually responsible for all work.

33. Make-up Work • Allowed to make up work only for days absent from school. • Given 1 day to make up work for each day absent. It is your responsibility to ask for the work!

34. Homework • Yes, there will be homework! • Focused on reinforcing the day’s lesson or on skill areas needing extra attention. • Designed to be done without the need for a textbook at home.

35. Tests and Quizzes

36. Tests and Quizzes • Minimum acceptable score on any test or quiz is 70%. • May retest if you fail to meet this standard. • Retesting done after school or during lunch, not during class time.

37. Daily Points • 25 points possible each day. • Based upon your participation level in the class. • If your are late to class, sleeping or off task and not working, you may not receive any part or all of those points.

38. Grading • Final grade will be based upon the total points earned divided by the total possible points. • A – 90% - 100% • B – 80% - 89% • C – 70% - 79% • D – 60% - 69% • F – 59% and below

39. Classroom Rules

40. PRIDE • Passion • Be on time • Be Prepared • Respect • Use appropriate language • Follow Directions • Integrity • Complete assignments • Do your own work • Dedication • Own your own behavior • Good attendance • Excellence

41. Bathrooms • Passing Periods are 3 minutes. • Still enough time to use the bathroom and get to class on time. • No passes will be given during the first or last 10 minutes of class.

42. What Not to Bring Into the Classroom • Food or drink during regular class hours • Electronic Devices may not be used in class for any reasonduring the term.

43. Questions?