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IMP 1- 11/5 (P), 11/6 (W)

IMP 1- 11/5 (P), 11/6 (W). Warm up—complete the in/out table using substituting and evaluating ex: y = 4(-2) - 4 = -8 – 4 = -12 What is the slope? the y-intercept?. DUE TODAY. “…pg. 246, #1, 2…” Water Conservation Students Present put in left side of your group folder. Due Next Class.

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IMP 1- 11/5 (P), 11/6 (W)

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  1. IMP 1- 11/5 (P), 11/6 (W) • Warm up—complete the in/out table using substituting and evaluating ex: y = 4(-2) - 4 = -8 – 4 = -12 What is the slope? the y-intercept?

  2. DUE TODAY “…pg. 246, #1, 2…” Water Conservation Students Present put in left side of your group folder

  3. Due Next Class FINISH Previous Travelers, pg. 217 – 218 BRING GRAPH PAPER MISSING ASSIGNMENTS due by Nov. 13 (any assignment on report dated 11/5 or 6)

  4. Objective- Students will be able to find rules from tables and graphs

  5. Agenda Warm Up/ Announcements From Rules to Graphs, pg. 213 Debrief Out Numbered, pg. 211- 212 Previous Travelers, pg. 217 - 218

  6. Goals when creating a graph - graph accurately represents the data - graph is not misleading - graph is easy to read …not cluttered, or too small -scale is even, accurate and easy to read - labels and title are always included

  7. pg. 213 From Rules to Graphs We have gone from…. graph  describing a situation graph finding a rule Now we will go from… rule  table  graph

  8. pg. 211- #1 1) How many people can one wagon hold? 2) why does the rule Out = 8 · In make sense? 3) what does the 8 represent? 4) use this number to tell me how many people 100 wagons can hold. 5) How many people would “w” wagons hold?

  9. pg. 211- 212 - # 2 1) how much coffee is consumed in 1 day? 2) how much coffee is there at the beginning? 3) does the amount increase or decrease? 4) by how much each day?

  10. pg. 212- #3 1) how much money is there in the cash register in the beginning? 2) does it increase or decrease? 3) by how much for each additional customer? How do these numbers help us find the rule?

  11. Outnumbered DebriefConstant Rate • Constant Rate- as x increases by the same amount, the y variable changes the same amount each time • On a graph, a constant rate is indicated by a LINE

  12. Finding rules from graphs….notes 1. Where does it begin? “b” 2. Is it increasing or decreasing? 3. By how much? m = rate of change m = slope m = how the middle changes EQUATION y = mx + b (conventional) OR y = b ± mx

  13. Outnumbered Debriefb = y-intercept • y = b ± mx b is the “beginning” or the value of y when x = 0 b is the “y- intercept” or the place where the graph touches the y-axis

  14. Basic graph terminologySKETCH AND LABEL IN YOUR NOTES: origin, (0, 0), x-axis, y-axis, line, quadrants I, II, III and IV, independent axis, dependent axis

  15. more math code… We call the set of all points that fit a rule the “graph of the equation” The process of putting these points together to form an overall picture is called “graphing the equation”

  16. math vocabulary…. …use the right words…. x- axis x- coordinate y- axis y- coordinate ordered pair coordinate system quadrant rate of change

  17. pg. 216- 218 Previous Travelers • read pg. 216 together as a class SUMMARIZE what we just read read pg. 217 introduction SUMMARIZE what we just read

  18. pg. 217 1. WANT? KNOW? – data given on pg. 218 2. WANT? a) b) c)

  19. pg. 217 - 218 • Look at the table on pg. 218 • HOW might you use the data about beans to plan for 20 people?

  20. pg. 217 – 218graph the data How do we set up our graph? 1) decide which variable is the independent variable and which is the dependent? Which depends on the other? Does the pounds of beans needed depend on the number of people? or the number of people depend on the pounds of beans needed?

  21. pg. 218 The “pounds of beans needed” depends on how many people there are so it is the dependent variable and is plotted on the y-axis (vertical like the tail of a y…..) The “number of people” is the independent variable and is plotted on the horizontal or x-axis

  22. pg. 218 • How should we scale the axis? 1) first, look at the minimum and maximum values. You need to have room for these 2) read the problem carefully. Do you need to make any predictions? Make sure your scale goes high enough to include the data points for your predictions as well!

  23. pg. 218 Start both axes at ZERO. This is the norm, unless there is a good reason to not start at zero!! Starting at zero helps you find your rule!! Remember, b is the beginning, the y-intercept– the y-value WHEN X = 0!!

  24. pg. 218 • Now plot the data points • (x, y) is an ordered pair that gives us “directions” to place a point Start at the origin. Go right (+) or left (-) “x” units Go up (+) or down (-) “y” units THIS MARKS YOUR SPOT! Make a dot!

  25. pg. 218 • Now draw a “line of best fit” Consider, should you start at the origin? Does that make sense in the context of your problem? Zero people need zero pounds of beans? YES!!! Start at (0, 0)

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