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# Algebra 2 Day 1 Graphs & Linearly Related Data

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A first lesson in Algebra II geared at introducing the text book and teaching about linearly related data from tables.

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### Algebra 2 Day 1 Graphs & Linearly Related Data

1. 1. Essential Questions <ul><li>What is the process for representing real-world linear relationships with tables, graphs and equations? </li></ul><ul><li>How are equations identified from data tables? </li></ul><ul><li>How is the text book organized and utilized to support daily classroom lessons? </li></ul>J. J. Yohe Algebra II
2. 2. Algebra II – Mr. Yohe Graphing/Book Intro Turn to Page 4 -- Investigating Commission Complete the Chart Plot ordered pairs on the graph grid! Graph the data!
3. 3. How did you set up your graph grid to represent the data and what were your limitations for representing the data?
4. 4. One Possible Graph Improvements? Extend Line Add Arrows Add Labels
5. 5. Line Graph vs. Linear Line Graphs A line graph is a way to summarize how two pieces of information are related and how they vary depending on one another. The numbers along a side of the line graph are called the scale.
6. 6. Page 4 Graph Questions <ul><li>Now look at the chart. What observations can you make about the successive data in both the Weekly Sales and the Wages columns? </li></ul><ul><li>In a linear relationship , a constant difference in consecutive x-values results in a constant difference in consecutive y-values. </li></ul><ul><li>Does the difference have to be the same value on both sides to form a linear relationship? How about on one side? Does this question make any sense? </li></ul>
7. 7. More Questions -- Page 4 Continued <ul><li>What is the meaning of the y-intercept (what is a y-intercept)? </li></ul><ul><li>Write an equation for the graph using the words wages and sales . </li></ul><ul><li>Use your graph/equation to find sales when wages are \$125 and \$450. </li></ul><ul><li>Observe last paragraph at the bottom of page 5  y = mx + b. </li></ul>
8. 8. Next Goal Graph the “Try This” problem from page 6 of your text books and find three points:
9. 9. Observe Example 3 on page 7 and use the same procedure to determine whether the data in the charts below the example are linear or not. Try This 4 4 4 4 4 x-Values have a constant difference -3 -3 -2 y-Values do not have a constant difference -4 -1 3 5 8 11 y 18 14 10 6 2 -2 x
10. 10. What about the table illustrated on page 7 labeled “ Critical Thinking ”? Is the data in that table linearly related? Explain your answer!
11. 11. Do problem number 49 a, b, c & d on page 9 a. b. c.
12. 12. Page 8/9 7-41 odd and #50 For 19-29 odd (make tables)