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Slope intercept form
 

Slope intercept form

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    Slope intercept form Slope intercept form Presentation Transcript

    • Jeudi 23 Septembre
      Warm up
      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)
      A. y = 7
      B. y = 5x + 2
      C. y = 7x
      D. y = 2x + 5
    • 0
      1
      2
      3
      x
      y
      y = 2x + 5
    • Slope intercept form of linear functions
      ·We have learned that every linear function can be expressed by a function rule that looks like this :
      y = ___ x + ___
    • ·In algebra, we call this form of function rule a slope intercept form.
      ·You'll find it usually expressed as
      y = mx + b
      ·y and x are variables. They vary!
      ·m and b are numbers, constant. They stay the same!
    • 40% of the 8th grade math EOG questions, are about finding the value of m or b using:
      ·The graph
      ·The function rule
      ·Coordinates of 2 points
      ·a real life situation
      So let's say it's a... VERY important lesson!
    • b a.k.a the y-intercept
      ·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
      ·On the graph, you can always read it where the line intersects the y-axis. Therefore it's called the y intercept!
    • Guided practice
      y = mx + ..... y = mx + ......
    • Independent practice
      Find the y-intercept of
      each linear function
    • Vendredi 24 Septembre
      Warm up
      What is the y-intercept of the following lines?
    • What is the slope of a line?
      Slope: The number that determines the steepness of a line
    • Where do we see natural slopes???
    • Watch the 2nd video and try to take notes of the 4 different types of slope.
    • Slopes can be:
      ·positive
      ·negative
      ·zero
      ·undefined
      *Look at the line from left to right (like reading)
    • cross country skiing
    • Is the slope positive, negative, undefined or none at all???
    • Is the slope positive, negative, undefined or none at all???
    • Is the slope positive, negative, undefined or none at all???
    • Is the slope positive, negative, undefined or none at all???
    • Is the slope positive, negative, undefined or none at all???
    • Is the slope positive, negative, undefined or none at all???
    • Is the slope positive, negative, undefined or none at all???
    • Is the slope positive, negative, undefined or none at all???
    • Is the slope positive, negative, undefined or none at all???
    • Review game
    • Lundi 27 Septembre
      Warm up
      1) What is the y-intercept of this line?
      2) Is the slope of this line positive, negative zero or undefined?
    • Quick review: What do we know so far on linear functions ?
    • Objective 1: Finding slope on the graph
      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.
    • Finding slope on the graph step by step
      Step 1: Determine sign of the slope (+,-,...)
      Step 2: Pick 2 points on the line (corners of unit squares)
      Step 3: Draw a slope triangle Rise first, run second. Rise : up +, down -
      Run : right +, left -
      Step 4: Write the fraction rise/run, simplify, check the sign
    • Guided practice
      Step 1:
      Step 2:
      Step 3:
      Step 4:
    • Step 1:
      Step 2:
      Step 3:
      Step 4:
    • Step 1:
      Step 2:
      Step 3:
      Step 4:
    • Independent practice: (will be evaluated)
      ·Front: The 2 points are already picked for you (step 2), focus on the 3 other steps.
      ·Back page: You have to pick the 2 points, remember to pick them on corners of unit squares
      Chek with your partners, ask for help, do not stay passive. 90% of the learning happens here!