1. Who Has Faulty Thinking?? Equations and Expressions G06.U04 Georgia Department of Education Dr. John D. Barge, State School Superintendent July 2013 All Rights Reserved Who Has Faulty Thinking - 1

2. Pre-Assessment Task Directions Spend 15 minutes working individually on this task. Read through the task and try to answer it as carefully as you can. Show all your work so that I can understand your reasoning. Don’t worry if you can’t complete everything. There will be a lesson that should help you understand these concepts better. Your goal is to be able to confidently answer questions similar to these by the end of the next lesson. G06.U07 Georgia Department of Education Dr. John D. Barge, State School Superintendent July 2013 All Rights Reserved Graphing on the Coordinate Plane 2

3. G06.U04 Georgia Department of Education Dr. John D. Barge, State School Superintendent July 2013 All Rights Reserved Who Has Faulty Thinking - 3 Collaborative Introduction

4. If you take some number (the bar represents that unknown number)…and decrease it by five… It (the result) is 15. What other ways can you say this without EVER saying the original number (20)? Use “x” anytime you want to say “20.” G06.U04 Georgia Department of Education Dr. John D. Barge, State School Superintendent July 2013 All Rights Reserved Who Has Faulty Thinking - 4

6. Can you see that it could be divided into five groups, or into groups of five? Fifteen divided by a number is five. G06.U04 Georgia Department of Education Dr. John D. Barge, State School Superintendent July 2013 All Rights Reserved Who Has Faulty Thinking - 6

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8. When you “divide by five,” you have the choice: either divide the whole thing into groups of five, or divide the whole thing into five groups…the end result will be the same…and the solution is…? A number divided by fifteen is five. G06.U04 Georgia Department of Education Dr. John D. Barge, State School Superintendent July 2013 All Rights Reserved Who Has Faulty Thinking - 8

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10. Collaborative Activity Instructions With your partner: o match Card Set A: Statements and Card Set B: Equations. Discuss with your partner as you go. o match Card Set C: Real-World Situations to Card Sets A and B. Discuss with your partner as you go. o match Card Set D: Solutions to Card Sets A, B and C. Discuss with your partner as you go. o Glue your completed matches to the provided paper/poster. G06.U04 Georgia Department of Education Dr. John D. Barge, State School Superintendent July 2013 All Rights Reserved Who Has Faulty Thinking - 10

11. Collaborative Plenary Discussion Each group will justify one of the matching sets using their poster. Students should be able to explain the relationship and connectivity among all the representations. G06.U04 Georgia Department of Education Dr. John D. Barge, State School Superintendent July 2013 All Rights Reserved Who Has Faulty Thinking - 11