Math Virtual Learning Algebra 1 S2
Transcript of Math Virtual Learning Algebra 1 S2
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Math Virtual Learning
Algebra 1 S2
April 29th, 2020
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Algebra 1 S2Lesson: April 29th, 2020
Learning Target: Students will compare linear, exponential, and quadratic functions and compare their rates of change for a given
interval.
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Warm-Up
Click here to practice comparing linear, quadratic, and exponential functions from a graph.
*Set timers to beat your scores.
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Review of Functions
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You Try!
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You Try!
ExponentialQuadratic
Linear
Exponential
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Review of Functions
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You Try!
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You Try!
ExponentialQuadratic Linear
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Linear, Exponential or Quadratic: Comparing Rates of Change
● How are the y-values changing as the x-values increase?
● What type of function has this kind of rate of change?
● What is the equation of this function?
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Linear, Exponential or Quadratic: Comparing Rates of Change
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Linear, Exponential or Quadratic: Comparing Rates of Change
● How are the y-values changing as the x-values increase?
● What type of function has this kind of rate of change?
● What is the equation of this function?
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Linear, Exponential or Quadratic: Comparing Rates of Change
Notice that if you take each x value and square it and then take half of it you get the y-value. So for example, take the x value of 4. If we square it we get 16. Then if we take half of it we get 8, which is our y-value. This is why the equation is:
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Linear, Exponential or Quadratic: Comparing Rates of Change
● How are the y-values changing as the x-values increase?
● What type of function has this kind of rate of change?
● What is the equation of this function?
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Linear, Exponential or Quadratic: Comparing Rates of Change
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You Try: Comparing Rates of Change
Determine the rate of change in the table and identify whether this data is linear, exponential or quadratic.
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You Try: Comparing Rates of Change
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You Try: Comparing Rates of Change
Determine the rate of change in the table and identify whether this data is linear, exponential or quadratic.
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You Try: Comparing Rates of Change
Hint: You may have noticed that the amount of money does not go up by a constant rate. Maybe there’s a common ratio. To check, take the ratio (divide) one amount by the amount before it. For example, calculate:
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You Try: Comparing Rates of Change
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What best describes each graph - Linear, Exponential or Quadratic?
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What best describes each graph - Linear, Exponential or Quadratic?
Linear Quadratic Exponential
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Lesson Quiz
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Lesson Quiz
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Lesson Quiz - KEY
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Lesson Quiz - KEY
Starting amount of water at 0 minutes is 312 gallons. Go backwards in the table 327-15
3 hours = 60 minutes x 3 = 180 minutes1.5(180)+312 = 582 gallons
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Independent Practice
Here is the practice worksheet. Complete it and compare your answers with the key.
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Additional Practice:Click on the links below to get additional practice and to check your
understanding!
Extra Practice with all methods.*KEY