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When you get to class each day:

      1. Say "hi!"
      2. Get your homework out and have it on your desk 
           ready to go.
      3. Write the number of (or tally) any questions you have on 
           the back board.
      4. Do your opener problem in the next open space on your                              
           blue opener sheet.

      Your goal should be to at least have your opener started by 
      the time class starts!


               Opener:       1. 8 ‐ 2(3 + 5)                         2. 10/2+3(4 ‐ 6)
    (without a calculator)




                                                                                               1
Section 2.2:           Modeling General Situations

 What is algebra???




                      "a branch of mathematics that uses mathematical 
                      statements to describe relationships between things that 
                      vary over time" ‐ http://cstl.syr.edu/fipse/algebra/unit1/algebra.htm
                      "thinking logically about numbers rather than computing 
                      with numbers" ‐ http://www.maa.org/devlin/Algebra_Devlin.pdf




                                                                                              2
Using Variables:      Variables are letters used to represent quantities of things 
                      we do not know. We define the variable (state what it 
                      represents) and then use that variable to model situations.

                      Examples: 

                      1. I have some dogs. My neighbor has 3 fewer dogs 
                          than I do.




                      2. Adam has 5 more freeze‐pops than I have.




                      3. Ellen has been to twice as many countries as Mary Beth.




                      4. Lyla went to half as many movies as Carter this summer.




                      5. Alex has saved $3 less than a third of what Courtney has   
                          saved. 
Combining variables
with operators and
constants creates
expressions.




                                                                                       3
TIME TO PRACTICE!   Check Your Understanding Mastermind:
                     1. This activity is worth 10 points towards your daily work  
                         grade.
                     2. Each person in your group needs a sheet of paper and   
                         must complete each of the problems assigned to earn 
                         their 10 points.
                     3. Complete each of the problems assigned, write your agreed upon   
                         answers in the blank on the answer sheet, and bring the sheet to 
                         me to check.
                     4. You have 3 chances to get the problems right. Each time you bring   
                         up the sheet, I will tell you how many are right, but not which
                         ones.
                     5. At the end, each student's individual work will be stapled behind 
                         the answer sheet and turned in.


                      Your problems are... Pg. 94 #1, 2, 3, 4ab, 5




                                                                                               4
5

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2.2 notes a

  • 1. When you get to class each day: 1. Say "hi!" 2. Get your homework out and have it on your desk       ready to go. 3. Write the number of (or tally) any questions you have on       the back board. 4. Do your opener problem in the next open space on your            blue opener sheet. Your goal should be to at least have your opener started by  the time class starts! Opener: 1. 8 ‐ 2(3 + 5) 2. 10/2+3(4 ‐ 6) (without a calculator) 1
  • 2. Section 2.2: Modeling General Situations What is algebra??? "a branch of mathematics that uses mathematical  statements to describe relationships between things that  vary over time" ‐ http://cstl.syr.edu/fipse/algebra/unit1/algebra.htm "thinking logically about numbers rather than computing  with numbers" ‐ http://www.maa.org/devlin/Algebra_Devlin.pdf 2
  • 3. Using Variables: Variables are letters used to represent quantities of things  we do not know. We define the variable (state what it  represents) and then use that variable to model situations. Examples:  1. I have some dogs. My neighbor has 3 fewer dogs      than I do. 2. Adam has 5 more freeze‐pops than I have. 3. Ellen has been to twice as many countries as Mary Beth. 4. Lyla went to half as many movies as Carter this summer. 5. Alex has saved $3 less than a third of what Courtney has        saved.  Combining variables with operators and constants creates expressions. 3
  • 4. TIME TO PRACTICE! Check Your Understanding Mastermind: 1. This activity is worth 10 points towards your daily work       grade. 2. Each person in your group needs a sheet of paper and        must complete each of the problems assigned to earn      their 10 points. 3. Complete each of the problems assigned, write your agreed upon        answers in the blank on the answer sheet, and bring the sheet to      me to check. 4. You have 3 chances to get the problems right. Each time you bring        up the sheet, I will tell you how many are right, but not which     ones. 5. At the end, each student's individual work will be stapled behind      the answer sheet and turned in. Your problems are... Pg. 94 #1, 2, 3, 4ab, 5 4
  • 5. 5