Slope intercept form

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Slope intercept form

  1. 1. Jeudi 23 Septembre<br />Warm up<br />A tennis club membership costs $5 a year. In addition to this flat fee, you must pay $2 every time you reserve a court. Which function rule describes the cost (y) for the number of times you reserve a court(x)<br />A. y = 7<br />B. y = 5x + 2<br />C. y = 7x<br />D. y = 2x + 5<br />
  2. 2. 0<br />1<br />2<br />3<br />x<br />y<br />y = 2x + 5<br />
  3. 3. Slope intercept form of linear functions<br />·We have learned that every linear function can be expressed by a function rule that looks like this :<br />y = ___ x + ___<br />
  4. 4. ·In algebra, we call this form of function rule a slope intercept form.<br />·You'll find it usually expressed as <br />y = mx + b<br />·y and x are variables. They vary!<br />·m and b are numbers, constant. They stay the same!<br />
  5. 5. 40% of the 8th grade math EOG questions, are about finding the value of m or b using:<br />·The graph<br />·The function rule<br />·Coordinates of 2 points<br />·a real life situation<br />So let's say it's a... VERY important lesson!<br />
  6. 6. b a.k.a the y-intercept<br />·For the real life situation, b is always the flat fee,the guaranteed salary... Basically the part of the cost (salary) that does not depend on the other variable<br />·On the graph, you can always read it where the line intersects the y-axis. Therefore it's called the y intercept! <br />
  7. 7. Guided practice<br />y = mx + ..... y = mx + ......<br />
  8. 8. Independent practice<br />Find the y-intercept of <br />each linear function<br />
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  10. 10. Vendredi 24 Septembre<br />Warm up<br />What is the y-intercept of the following lines?<br />
  11. 11. What is the slope of a line?<br />Slope: The number that determines the steepness of a line<br />
  12. 12. Where do we see natural slopes???<br />
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  15. 15. Watch the 2nd video and try to take notes of the 4 different types of slope.<br />
  16. 16. Slopes can be: <br />·positive<br />·negative<br />·zero<br />·undefined<br />*Look at the line from left to right (like reading)<br />
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  19. 19. cross country skiing<br />
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  21. 21. Is the slope positive, negative, undefined or none at all???<br />
  22. 22. Is the slope positive, negative, undefined or none at all???<br />
  23. 23. Is the slope positive, negative, undefined or none at all???<br />
  24. 24. Is the slope positive, negative, undefined or none at all???<br />
  25. 25. Is the slope positive, negative, undefined or none at all???<br />
  26. 26. Is the slope positive, negative, undefined or none at all???<br />
  27. 27. Is the slope positive, negative, undefined or none at all???<br />
  28. 28. Is the slope positive, negative, undefined or none at all???<br />
  29. 29. Is the slope positive, negative, undefined or none at all???<br />
  30. 30. Review game<br />
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  42. 42. Lundi 27 Septembre<br />Warm up<br />1) What is the y-intercept of this line?<br />2) Is the slope of this line positive, negative zero or undefined?<br />
  43. 43. Quick review: What do we know so far on linear functions ?<br />
  44. 44. Objective 1: Finding slope on the graph<br />Watch the following segment of video (what is slope from 2:00 mark) and write down steps to find the slope of a line on the graph.<br />
  45. 45. Finding slope on the graph step by step<br />Step 1: Determine sign of the slope (+,-,...)<br />Step 2: Pick 2 points on the line (corners of unit squares) <br />Step 3: Draw a slope triangle Rise first, run second. Rise : up +, down - <br /> Run : right +, left - <br />Step 4: Write the fraction rise/run, simplify, check the sign<br />
  46. 46. Guided practice<br />Step 1:<br />Step 2:<br />Step 3:<br />Step 4:<br />
  47. 47. Step 1:<br />Step 2:<br />Step 3:<br />Step 4:<br />
  48. 48. Step 1:<br />Step 2:<br />Step 3:<br />Step 4:<br />
  49. 49. Independent practice: (will be evaluated)<br />·Front: The 2 points are already picked for you (step 2), focus on the 3 other steps.<br />·Back page: You have to pick the 2 points, remember to pick them on corners of unit squares<br />Chek with your partners, ask for help, do not stay passive. 90% of the learning happens here!<br />

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