Linear Example Quadratic Example Individual Task Find one ordered pair in the form xy using your two cards Create two equations that contain the point above One Linear One Quadratic ID: 736988
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Linear vs. QuadraticSlide2
Form of an Equation
Linear
Example:
Quadratic
Example:
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Individual Task
Find one ordered pair in the form (x,y) using your two cardsCreate two equations that contain the point aboveOne LinearOne QuadraticPick one equation to plot by hand on lined/graph paperSlide4
Individual Task
Now, graph the second equation you created on the calculatorWhat form should the equation be in?Make sure to adjust your viewing windowSlide5
Exit Ticket Questions
When looking at a graph, how can I find its intercepts?Is there anything that you don’t understand from today’s lesson?Is there anything that could have been explained betterSlide6
Today’s Problem
If 6 cats kill 6 rats in 6 minutes, how many will be needed to kill 100 rats in 50 minutes?Slide7
Important Points
Please make sure you are focused on the work we are doing in class… I shouldn’t be seeing work from other classes on your desk. While I want you to be successful in other classes, this class is important too!Please attempt the activities during class. Having paper and a writing utensil on your desk is just a start.Slide8
Symmetry
Name one real-life object having symmetryDraw one graph having symmetryAlso include the equation!!Slide9
Key Equations
Graph the following by hand and/or calculator:
Can you find the intercepts?
Are any of the graphs symmetrical?
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Find the solution…
Use the calculator to find the solution to
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Exit Ticket Questions
Please draw a picture describing what you learned todayMake sure to include a written explanation of your drawingSlide12
Riddle for the day…
There are four men who want to cross a bridge. They all begin on the same side. You have 17 minutes to get all of them across to the other side. It is night. There is one flashlight. A maximum of two people can cross at one time. Any party who crosses, either one or two people, must have the flashlight with them. The flashlight must be walked back and forth, it cannot be thrown, etc. Each man walks at a different speed. A pair must walk together at the rate of the slower manMan 1: 1 minute to cross
Man 2: 2 minutes to crossMan 3: 5 minutes to crossMan 4: 10 minutes to crossFor example, if Man 1 and Man 4 walk across first, 10 minutes have elapsed when they get to the other side of the bridge. If Man 4 returns with the flashlight, a total of 20 minutes have passed, and you have failed the mission.Slide13
Answer
Men 1 and 2 travel over and man 2 brings back the flashlight: 4 min.Men 3 and 4 travel over and man 1 brings back the flashlight: 11 min.Men 1 and 2 travel over: 2 min.Total: 17 minSlide14
Homework Questions?Slide15
Learning Objectives
At the end of this lesson, YOU will be able to…Write the equation of a circle in standard formGraph a circle by hand and by using a graphing utilityUse the general form of the equation of a circleSlide16
Math Questions?Slide17
Equation of a Circle
Standard Form
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Equation of a Circle
General Form
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Standard Form to General Form
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How did you do?
Write the equation of a circle in standard formGraph a circle by hand and by using a graphing utilityUse the general form of the equation of a circleSlide21
Exit Ticket Questions
Show me in some way (graph, explanation, picture, be creative!) how changing the values of h, k, and r influences where a circle is positioned in the x-y plane.Is there anything you don’t understand from today’s lesson? Any lingering questions?