Exponential Jeopardy Welcome to Power Jeopardy

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Presentation transcript:

Exponential Jeopardy Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instruc-tions that appear on each slide. Exponential Slide 1-Title This slide begins the game. When you first start the presentation, the screen appears all blue. When you click the mouse button, the Jeopardy theme song plays, and the title and “Hosted by” text slowly move into place. Jeopardy To tailor this slide, follow these instructions: Print the notes for slides 1 through 3 by doing the following: Under File select Print… In the section entitled Print Range, click the radio button for Slides and in the box to its right, type in 1-3. Under Print what:, select Notes Pages. At this point, the Print pop-up should look like the picture at the right. Click OK 2. Now that you have printed instructions for tailoring the game, you can make the needed changes to each slide by moving into Slide View. Simply double click the blue slide above. Change Slide 1: Double click on the word Subject, and type in the subject you want in its place (e.g., Math). Double click on the word Teacher in the bottom right of the slide, and type over it with your name (e.g., Mr. Link). After doing this, the new slide will look something like this: 4. Go on to the next slide. © Don Link, Indian Creek School, 2004

Geometric Sequences Function Characteristics Slide 2-Category Selection This slide is the main game board. You go here to begin the game, and you return here after each Question/Answer slide. This is where the “contestant” selects one of the five categories and a dollar value for the question. The higher the value, the more difficult the question. When you open this slide, the categories appear one at a time, and the dollar values appear at random with an accompanying laser beep. Here’s how it works: if the contestant selects the first category for $300, you would click on the $300 text under Transformations/ Even/Odd Word Problems Grab Bag $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 the 1st category (i.e., the 3rd dollar box in column one). As a result, the corresponding Question/Answer slide will automatically appear. Once the question, and then the answer, for that slide have been shown, you will click on the arrow in the bottom right of that slide to return to this main slide. When you return to this slide, the dollar amount for the box you selected will have changed from white to blue to show that that particular question has already been used. Below, you will see how to tailor the game for your particular categories. $300 $300 $300 $300 $300 To tailor this slide, follow these instructions: Five different categories are used in the game. The category names appear at the top of the columns on this slide and on the five associated Question/ Answer slides (one for each dollar value). Rather than changing all of these separately, you will use the Replace command to change each placeholder category name only once. $400 $400 $400 $400 $400 1. Under Edit, choose Replace Type the placeholder name for category 1 as shown in the pop-up at the right. Type in your category name (e.g., Mixed Numbers) under Replace with: The Replace pop-up should now look like the one on the right, only with your category name. Click the Replace All button to make the changes. You will then see this pop-up Click the OK button. This replaces the six occurrences of the specified placeholder category name with your category name. After this, the top of the slide will look like this: $500 $500 $500 $500 $500 Notice that in this case, “Mixed Numbers” doesn’t fit on the line. To fix this, simply click on the text right before the “N” and press Backspace followed by Enter. Now it’s on two lines: 2. Now, repeat Step 1 for the remaining four category placeholder names:

What is the common ratio of the sequence below? 81, 27, 9, 3, 1,… Slide 3-Question/Answer (Functions/Rate of Change, $100) This slide is the first Question/Answer slide. It corresponds to Category 1 for $100. Once you have followed the instructions on Slide 2 to replace category name placeholders with your actual categories, the text “Functions/Rate of Change” on this slide will be replaced with your 1st category name. When you click on Category 1 for $100 on the main slide, this slide opens automatically, with the Question appearing at the top. (Note: On TV Jeopardy, the contestant is actually shown an answer and is asked to offer a related question. Since this concept is sometimes difficult to understand and implement, this PowerPoint version shows a question followed by the corresponding answer.) One way to play the game in class is to set up three teams. For each round, have one person from each team stand up as contestants. Have one pick the category and dollar value; click on that box and then ready the question that appears. Call on the first contestant that raises his or her hand for the answer. If they are correct, their team gets corresponding points or dollars (e.g., 1 point for each $100). If the first contestant misses the question or does not answer quickly enough, his or her team loses the corresponding points. Then, offer the question to the remaining two contestants in order of their raised hands. After the question has been answered correctly, or after all three contestants miss it, or after no contestant wants to try, return to the main slide by clicking on the yellow arrow. The current contestants then sit down, and the game moves to the next round. Note that this Jeopardy game does not have a Double Jeopardy question. Geometric Sequences for $100 1/3 To tailor this slide, follow these instructions: You are now ready to put in your questions and answers, but you might want to go ahead and save this file first, using Save As and giving it a new name—one that makes sense for this particular Jeopardy game (e.g., Fractions Jeopardy). If your Question is short, simply double click on the word “Question” and type in your specific question (e.g., “50% of 150” or “Capitol of France”). If the text you enter will not fit on one line, there’s room for two lines at this font size. If you need more room, reduce the font size by triple clicking on the text and using the Font Size selector in the toolbar. In some cases, your question may need a drawn figure or graphic. You can use PowerPoint features to draw the figure you need or to insert graphics. A few examples are show below. Double click on the word “Answer” and type in your answer in the same way. Do the same steps to tailor the remaining Question/Answer slides, remembering to make questions of higher dollar value more difficult. Also remember to save your work. Example Questions:

What are the domain and range of the sequence? 3, 12, 48, 384,… Geometric Sequences for $200 Domain: 1, 2, 3, 4,… Range: 3, 12, 48, 384,… Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Which function represents this sequence? Geometric Sequences for $300 F(n) = 5(2)^n - 1 Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

What is the recursive formula for this sequence? 60, 30, 15, 7.5,… Geometric Sequences for $400 An = an-1 x (1/2) Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Write a function for the sequence and find the 8th term. Geometric Sequences for $500 An = 4(5)^ n- 1 A8 = 312,500 Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Increasing, positive Is the function increasing or decreasing? Is the function positive or negative? Increasing, positive Function Characteristics for $100 Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

What are the domain and range of the function? Domain: all real #s Range: all reals > 0 Function Characteristics for $200 Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

What are the x and y-intercepts? Function Characteristics for $300 X: none Y: (0, 1000) Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

(0, 90) A bacteria population begins with 90 bacteria. The amount of bacteria can be represented by the function B(t) = 90(2.15)x? What is the y-intercept of the function? Function Characteristics for $400 (0, 90) Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Domain: x > 0 Range: y > 90 Minimum (0, 90) A bacteria population begins with 90 bacteria. The amount of bacteria can be represented by the function B(t) = 90(2.15)x? What are the domain and range? Does it have a minimum or a maximum? Function Characteristics for $500 Domain: x > 0 Range: y > 90 Minimum (0, 90) Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Is f(x) = -4x even, odd, or neither? Transformations/Even/Odd for $100 Neither Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

what transformation has occurred? If f(x) = 2x and g(x) = 2x – 4, what transformation has occurred? Transformations/Even/Odd for $200 Shift down 4 units Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

(3, -4) Given that a function contains the point (-3, 4) and is odd, what is another point in the function? Transformations/Even/Odd for $300 (3, -4) Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Vertical stretch by 3 Reflection over X-axis If y = (1/2)x + 2 is changed to -3(1/2)x + 2, what transformation has occurred? Transformations/Even/Odd for $400 Vertical stretch by 3 Reflection over X-axis Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Y = (1/3)2x - 3 What will be the new equation of y = 2x if you want to shrink the function by 1/3 and shift the graph down 3 units? Transformations/Even/Odd for $500 Y = (1/3)2x - 3 Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

P(t) = 10(3)x A bacteria population starts with 10 bacteria and triples every hour. Write a function for this situation. Word Problems for $100 P(t) = 10(3)x Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

f(x) = (1/3)x The points (0, 1), (1, 1/3), (2, 1/9), and (3, 1/27) are on the graph of a function. What is the function? Word Problems for $200 f(x) = (1/3)x Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

F(x) = 20(4)x 5,160 rabbits The rabbit population in Australia has been increasing each year. The population so far has been 20, 78, 315, 1290,… What is an approximate exponential model for this trend and how many rabbits would you expect the next year? F(x) = 20(4)x 5,160 rabbits Word Problems for $300 Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

P(x) = 5(3)x Billy has an ant farm. He started out with 5 ants. The next month he had 15, the next month he had 75, and the following month he had 225. Write an exponential model for the growth of Billy’s ant farm. P(x) = 5(3)x Word Problems for $400 Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

A(t) = 700(1.06)t $936.76 Crystal invested $700 in a bank that earns 6% interest annually. Write a model for how much money Crystal will make and calculate how much she will have in 5 years. Word Problems for $500 A(t) = 700(1.06)t $936.76 Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

2 seconds Using the graph below, after how many seconds was the ball at a height of 32 feet. Grab Bag for $100 2 seconds Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Y = 20000(0.95)x 14,701.84 You bought a boat for $20,000. The boat depreciates 5% each year. Write an exponential model and find the value of the boat after 6 years. Grab Bag for $200 Y = 20000(0.95)x 14,701.84 Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

(0,1), decreasing, positive Find the y-intercept of the function and determine if it is increasing or decreasing and positive or negative. Grab Bag for $300 (0,1), decreasing, positive Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

An = an-1 x 1.04 A1 = 120,000 You bought a beach house for $120,000. The value of the house appreciates 4% per year. Write a recursive formula to model this situation. Grab Bag for $400 An = an-1 x 1.04 A1 = 120,000 Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.

Given the sequence, find a function for the sequence. 9604, 1372, 196, 28, 4,… Word Problems for $500 f(n) = 9604(1/7)n-1 Welcome to Power Jeopardy © Don Link, Indian Creek School, 2004 You can easily customize this template to create your own Jeopardy game. Simply follow the step-by-step instructions that appear on Slides 1-3.