Getting Ready. How far do you think you could ride in a day? How do you think the speed of your ride would change during the course of the day?

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Mae Simpson
6 years ago
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1 Transparency 1.1A Getting Ready How far do you think you could ride in a day? How do you think the speed of your ride would change during the course of the day? What conditions would affect the speed and distance you could ride? 1

2 Transparency 1.1B Jumping Jack Experiment Time (seconds) Total Number of Jumping Jacks 2

3 Transparency 1.3A Sarah s Table Atlantic City to Cape May Time (hr) Distance (mi)

4 Transparency 1.3B Atlantic City to Cape May 40 y Distance (mi) Time (hr) 4 x 4

5 Transparency 1.3C Graphs i iv i. ii. iii. iv. 5

6 Transparency 1.4 Celia s Graph 100 y Day 2 Progress Distance (mi) Time (hr) x 6

7 Transparency 1.5 Malcolm s and Tony s Notes We started at 8:30 A.M. and rode into a strong wind until our midmorning break. About midmorning, the wind shifted to our backs. We stopped for lunch at a barbeque stand and rested for about an hour. By this time, we had traveled about halfway to Norfolk. Around 2:00 P.M., we stopped for a brief swim in the ocean. Around 3:30 P.M., we reached the north end of the Chesapeake Bay Bridge and Tunnel. We stopped for a few minutes to watch the ships passing. Because riding bikes on the bridge is not allowed, we put the bikes in the van and drove across. We took 7.5 hours to complete today s 80-mile trip. 7

8 Transparency 2.1A Getting Ready With your classmates, make a list of things the tour operators must provide for their customers. Estimate the cost of each item per customer. Estimate how much customers would be willing to pay for the three-day tour. Based on your estimates, will the partners earn a profit? 8

9 Transparency 2.1B Bike Rental Fees Rocky s Weekly Rental Rates for Bikes Number of Bikes Rental Fee $400 $535 $655 $770 $875 $975 $1,070 $1,140 $1,180 $1,200 $1,600 y Adrian s Weekly Rental Rates for Bikes Rental Fee $1,200 $800 $400 x $ Number of Bikes 9

10 Transparency 2.2 Price Customers Would Pay Total Price $150 $200 $250 $300 $350 $400 $450 $500 $550 $600 Number of Customers

11 Transparency 2.3A Getting Ready The number of cars in a school parking lot changes as time passes during a school day. These graphs show two possibilities for the way the number of cars might change over time. Graph 1 Graph 2 Describe the story each graph tells you about the school parking lot. Which graph shows the pattern you expect? How could you label the graph you chose so that someone else would know what it represents? 11

12 Transparency 2.3B Graphs 1 6 Graph 1 Graph 2 Graph 3 Graph 4 Graph 5 Graph 6 12

13 Transparency 3.1 Getting Ready What variables do you think are involved in planning for the amusement-park trip? How are those variables related to each other? 13

14 Transparency 3.1B Distance Traveled at Different Average Speeds Time (hr) Distance for Speed of 50 mi/h Distance for Speed of 55 mi/h Distance for Speed of 60 mi/h Distance at Different Speeds Distance (mi) Time (hr) 14

15 Transparency 3.3 Tour Revenue and Expenses Number of Customers Tour Revenue and Expenses Revenue $350 $700 $1,050 Bike Rental $30 $60 $90 Food and Camp Costs $ 125 $250 $375 Total Expenses Profit 16

16 Transparency 3.2 Bonus Card Balance Number of Rides Points on Card

17 Transparency 3.3 Tour Revenue and Expenses Number of Customers Tour Revenue and Expenses Revenue $350 $700 $1,050 Bike Rental $30 $60 $90 Food and Camp Costs $ 125 $250 $375 Total Expenses Profit 16

18 Transparency 4.1 Getting Ready What does the number in the third column mean? What does in the second column mean? What does 5 in the first column mean? Plot1 Plot2 Plot3 \Y1 = \Y2 = \Y3 = \Y4 = \Y5 = \Y6 = \Y7 = TABLE SETUP TblStart = 0 Tbl = 1 Indpnt: Auto Ask Depend : Auto Ask Plot1 Plot2 Plot3 \Y1 = 2X \Y2 = X 2 \Y3 = \Y4 = \Y5 = \Y6 = \Y7 = X Y 1 Y X=0 17

19 Transparency 4.2A Graphing Calculator Screens WINDOW Xmin= 10 Xmax=10 Xscl=1 Ymin= 10 Ymax=10 Yscl=1 Xres=1 least x-value greatest x-value marks on x-axis for every 1 unit least y-value greatest y-value mark on y-axis for every 1 unit WINDOW Xmin=0 Xmax=15 Xscl=3 Ymin=0 Ymax=25 Yscl=5 Xres=1 Y1=1.5X+2 X= _Y=

20 Transparency 4.2A Graphing Calculator Screens WINDOW Xmin= 10 Xmax=10 Xscl=1 Ymin= 10 Ymax=10 Yscl=1 Xres=1 least x-value greatest x-value marks on x-axis for every 1 unit least y-value greatest y-value mark on y-axis for every 1 unit WINDOW Xmin=0 Xmax=15 Xscl=3 Ymin=0 Ymax=25 Yscl=5 Xres=1 Y1=1.5X+2 X= _Y=

21 Transparency 4.2B Getting Ready Experiment with your graphing calculator and the following equations. Graph one set of equations at a time. Use the standard window. Set 1 Set 2 Set 3 Set 4 y = 3x 4 y = x² y = 3x + 2 y = 5 y = 3x y = 1x y = 2x + 3 y = 2x 5 y = (0.5)x + 2 y = 2x y = 2 x y = 2 x Answer the following questions for each set of equations. Which, if any, of the graphs show similar patterns of change? How are the graphs similar? How are the equations for the graphs similar? How are the graphs different? How are the equations for the graphs different? 19

22 Transparency 4.2C Wild World Climbing Wall 1 section 4 rods 2 sections 7 rods 3 sections 10 rods 20

Transparency 4.3A Bike Rental Companies 123 Surf Street 555-bike Bike Sales and Rentals Price Quote for Ocean Bike Tours Bikes delivered and picked up each day for two days.

23 Transparency 4.3A Bike Rental Companies 123 Surf Street 555-bike Bike Sales and Rentals Price Quote for Ocean Bike Tours Bikes delivered and picked up each day for two days. Price: $25 per bike for two days SPEEDY WHEELS Bikes and Skateboards 72 Market Street 555-spin Customer: Item: Time: Price: PRICE QUOTE Ocean Bike Tours Touring bikes, various sizes 2 days $100 for pickup and delivery, plus $20 per bike for two days 21

24 Transparency 4.3B $1,000 Comparison of Rental Costs $800 Rental Cost $600 $400 $200 $ Number of Bikes Rented 22

Project 2 Evaluation 32 Second Year Algebra 1 (MTHH )

Name I.D. Number Project 2 Evaluation 32 Second Year Algebra 1 (MTHH 039 059) Be sure to include ALL pages of this project (including the directions and the assignment) when you send the project to your