$100 $300 $100 $400 $100 $300 $200 $100 $100 $200 $500 $200 $500 $200 $300 $200 $500 $300 $500 $300 $400 $400 $400 $500 $400
Solving Quadratic Functions by completing the square
Applications of quadratic functions
Solving Quadratic Equations with Square Roots
Quadratic Formula
Classifying Functions
Solving Quadratic Functions by completing the square Applications of quadratic functions Solving Quadratic Equations with Square Roots Classifying Functions Quadratic Formula $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500
a2 + 14a − 51 = 0 Use completing the square to solve Write your answer in simplest radical form.
x2 + 14x − 15 = 0 Use completing the square to solve Write your answer in simplest radical form.
k2 − 12k + 23 = 0 Use completing the square to solve Write your answer in simplest radical form.
Completing the square - $400 5k2 = 60 − 20k
Completing the square - $500 8x2 + 16x = 42
Applications with quadratic functions $100 We are going to fence in a rectangular field and we know that for some reason we want the field to have an enclosed area of 75 ft2. We also know that we want the width of the field to be 3 feet longer than the length of the field. What are the dimensions of the field? Round your answer to the nearest tenth.
Applications $200 A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s. When does it hit the ground? Use the function h = 3 + 14t − 5t2 .
Applications $300 The height, , in feet of an object above the ground is given by h = -16t2 + 64t +190 where t is the time in seconds. Find the time it takes the object to strike the ground and find the maximum height of the object.
Application $400 A soccer ball bounces straight up into the air off of the head of a soccer player form an altitude of 6 feet with an initial velocity of 40 feet per second. Use the function s = -16t2 + v0t + s0 to determine how long does it take the ball to reach the earth?
Application $500 An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. What will be the object's maximum height? When will it attain this height?
Solving Quadratic Equations with Square Roots- $100
Solving Quadratic Equations with Square Roots- $200
Solving Quadratic Equations with Square Roots- $300
Solving Quadratic Equations with Square Roots- $400
Solving Quadratic Equations with Square Roots- $500
Quadratic Formula- $100 Write your answer in simplest radical form if needed
Quadratic Formula- $200 Write your answer in simplest radical form if needed
Quadratic Formula- $300 Write your answer in simplest radical form if needed
Quadratic Formula- $400 Write your answer in simplest radical form if needed
Quadratic Formula- $500
Classifying Functions- $100 Tell whether the table of values represents a linear, exponential, quadratic, or Neither: x -2 -1 1 2 y 8 -4 -10 -16
Classifying Functions - $200 Tell whether the table of values represents a linear, exponential, quadratic, or Neither: x -2 -1 1 2 y 20 10 5 2.5 1.75
Classifying Functions - $300 Tell whether the table of values represents a linear, exponential, quadratic, or Neither: x -2 -1 1 2 y 6 4
Classifying Functions - $400 Tell whether the table of values represents a linear, exponential, quadratic, or Neither: : x -2 -1 1 2 y 8 5 4
Classifying Functions- $500 Tell whether the table of values represents a linear, exponential, quadratic, or Neither: x -1 1 2 3 y 4
Completing the square $100 {3, −17}
Completing the square $200 {1, −15}
Completing the square $300
Completing the square $400 {2, −6}
Completing the square $500
Applications with quadratic functions $100 So, we have one positive and one negative. From the stand point of needing the dimensions of a field the negative solution doesn’t make any sense so we will ignore it. Therefore, the length of the field is 7.2892 feet. The width is 3 feet longer than this and so is 10.2892 feet.
The "t = −0.2" is a negative time, impossible in our case. Applications $200 The "t = −0.2" is a negative time, impossible in our case. The "t = 3" is the answer we want: The ball hits the ground after 3 seconds!
Since t represents time, we must throw out –1.98. Applications $300 Since t represents time, we must throw out –1.98. Therefore, it takes 5.98 seconds for the object to strike the ground. And at that time, the maximum height is 254 feet. .
Applications $400 2.6 seconds
It takes two seconds to reach the maximum height of 144 feet. Applications $500 It takes two seconds to reach the maximum height of 144 feet.
Solving Quadratic Equations with Square Roots- $100
Solving Quadratic Equations with Square Roots- $200
Solving Quadratic Equations with Square Roots- $300 No Solution
Solving Quadratic Equations with Square Roots- $400
Solving Quadratic Equations with Square Roots- $500
Quadratic Formula- $100
Quadratic Formula- $200
Quadratic Formula- $300
Quadratic Formula- $400
Quadratic Formula- $500
Classifying Functions - $100 Linear Function
Classifying Functions- $200 Exponential Function
Classifying Functions - $300 Linear
Classifying Functions - $400 Quadratic Function
Classifying Functions- $500 Quadratic Function
MAKE YOUR WAGERS!
Write the equation for of the function: FINAL JEOPARDY! Write the equation for of the function:
Process Writing Question
Daily Doubles and usage notes follow... END OF GAME Daily Doubles and usage notes follow...
JEOPARDY! Slide Show Notes The font for the question & answer slides is “Enchanted;” a copy of this font in located in the “REAL Jeopardy Template” folder. (This font will need to be installed in the C:/WINDOWS/FONTS folder of the computer running the show.) In order to keep all of the sounds and fonts together, copy the entire “REAL Jeopardy Template” folder. To change the categories: 1. Go to “Edit” and “Replace…” 2. In the Find box, type CATEGORY 1 (all caps) 3. In the Replace box, type the category in all caps (for example, PRESIDENTS) 4. Click Replace All... To use the Daily Double: 1. Choose which dollar values to set as Daily Double 2. Link that dollar value to one of the DD slides 3. Link the arrow on the DD slide to the correct question slide (so dollar/category match)
Running the JEOPARDY! Slide Show On the game board with the categories on top, click on the desired dollar value. (The first game board is used only to blink in the dollar values like the show.) ICONS: ? Go to the answer screen. House Go back to the game board. Right Arrow (on Daily Doubles) Go to the question screen. Turned-up Arrow Reload question screen after incorrect guess