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Do now 9-3-13

Do now 9-3-13. Scott makes $12.50 an hour and this particular day he came home with $300. How many hours did he work? Create an algebraic equation and solve it 2. If you are absent from class, then what should you do when you return? (what are your options?).

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Do now 9-3-13

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  1. Do now 9-3-13 Scott makes $12.50 an hour and this particular day he came home with $300. How many hours did he work? Create an algebraic equation and solve it 2. If you are absent from class, then what should you do when you return? (what are your options?)

  2. Can you describe the graph that would go with each of the following topics? Explain your choice (optional for notebook, but one example is always nice) Price of different numbers of song downloads Money earned for hours worked Determining what grade you need on final to receive a “B” in class www.youtube.com videos Test grades Population growth

  3. Unit 1: expressions & equations • Big idea: manipulate polynomials to model & analyze actual non-linear situations • Questions you will be able to answer at end of whole unit (about end of Sept): • How are the properties of real #’s related to polynomials? • How can 2 algebraic expressions that appear to be different be the same? • What are the characteristics of a quadratic function? • How can you use functions to model actual situations?

  4. At the end of this week, SWBAT(write in notebook) Create equations & inequalities with one variable and solve problems with them Create equations & inequalities with 2 or more variables and solve problems with them Represent constraints in equations & interpret solutions Rearrange formulas to highlight a quantity of interest

  5. Types of equations • Linear • Inequalities • Exponential • With each, we will discuss graphs, meaning, how to interpret, solutions, rearranging equations • Perhaps a page or at least half a page for each type

  6. Linear Linear functions / linear equations Slope, intercepts, predictions from scatter plots (what information does the graph tell you?) Line of best fit Parallel and perpendicular Y = mx + b

  7. Linear (continue) Life scenarios (real) can be represented algebraically (estimates or predictions about future occurrences) Can you identify some situations? Example: A contestant was penalized 250 points for an incorrect answer, leaving the contestant with 1050 points. How many points did the contestant have before the penalty? 1300 pts

  8. Linear (examples) Try the following problems Algebra book Pg. 85 lesson check #4 Pg. 85 #50 Pg. 86 #52, 66, 68

  9. Inequalities These types of equations or graphs, help in situations where there is a MAXIMUM OR MINIMUM VALUE Quantities are not equal The inequality symbol is reversed when multiplying or dividing both sides of an inequality by a negative number

  10. Inequalities (continue) Range of sound created by an instrument How could you mathematically describe the sounds that an instrument is capable of making? Write lowest frequency and highest frequency in set notation or in an inequality

  11. Inequalities (examples) A linear inequality is describes an area of the coordinate plane that has a boundary line. Every point in that region is a solution of the inequality. Simple terms: a linear inequality is just everything on ONE side of a line on a graph

  12. Inequality topics range of possible answers for a situation http://www.montereyinstitute.org/courses/Algebra1/COURSE_TEXT_RESOURCE/U05_L2_T1_text_container.html Bounded region Boundary line Consider givens, results, solution (a 3 column chart may be helpful) when reading expressions

  13. “We do” problem: Inequality example Celia and Juniper want to donate some money to a local food pantry. To raise funds, they are selling necklaces and earrings that they have made themselves. Necklaces cost $8 and earrings cost $5. What is the range of possible sales they could make in order to donate at least $100?

  14. “We do” problems/scenarios Pg. 165 problem 2 then try got it pg. 165 Pg. 167 prob 5 a, b, c and got it #5

  15. “your turn” Lesson check pg. 167 #5 and #7

  16. Summary 9-3-13 What is the difference between linear and inequality equations/expressions?

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