1. Algebra 1 7 NOV 2011 1) Put papers from your group folder into your binder. 2) Put your binder, hw and text on your desk. START WU. THE ONLY PAPERS THAT SHOULD BE IN YOUR FOLDER ARE YOUR WARM UP sheet and the current day’s classwork the current day’s classwork CHECK YOUR HOMEWORK √ or X each problem CHECK YOUR HOMEWORK √ or X each problem Warm-up: silently PreTEST do your best- I will use results to help me plan activities finished? do your homework pg. 161+: 4, 6, 7

2. Objective Students will graph scatter plots of recursive sequences. Students will take notes, do an investigation and use think-pair-share.

3. Homework due today pg. 161: 1, 2, 14 Homework due next class pg. 161+: 4, 6, 7

4. review- from your notes…. recursive sequence recursive routine perimeter an ordered list of numbers generated by doing a procedure over and over a starting value and rule used to make a recursive sequence EXAMPLE? 9, 6, 3, 0, ….. what is the recursive rule for this sequence? the distance around the outside

5. debrief toothpicks what is the recursive rule for # of toothpicks and perimeter?? figure 12345678910 # of toothpicks 3579111315171921 PERIMETER 3456789101112 # of toothpicks: Start at 3 and add 2 to the previous term Perimeter: Start at 3 and add 1 to the previous term

6. Empire State Building Location: New York City, New York, USA Architect: Shreve, Lamb and Harmon Year: 1931 Height: 381 meters / 1,250 feet Stories: 102 When it was constructed in 1931, the Empire State Building was the tallest building in the World, and it remained the world's tallest until 1972, when the New York World Trade Center Tower was completed. After terrorist attacks destroyed the World Trade Center in 2001, the Empire State Building became New York's tallest building.New York World Trade Center Tower

7. section 3.2 Look at the example on page 165 EXACTLY AS SHOWN Do (a) on calculator EXACTLY AS SHOWN {0, -4} ENTER {0, -4} ENTER (where does it start?) {Ans(1) + 1, Ans(2) + 13} ENTER We are telling the calculator to start at the 0 floor which is -4 feet (below ground) Then to add 1 to get the next floor, and also add 13 to previous height to get new height HOW IS THIS DIFFERENT THAN LAST CLASS?

8. Investigation, pg. 166 Read the introduction. Three vehicles are starting at different spots and traveling different speeds. WHEN and WHERE will the pass each other? ACT OUT THE SITUATION

9. CW paper: Investigation, pg. 166 Step 1: Convert to miles per minute Minivan: Car: Pickup: 1 60 1 1 miles per minute

10. Convert to miles / 10 minutes How far does each vehicle travel in TEN minutes? Van Van - Car Car -Truck- 12 miles in 10 minutes 8 miles in 10 minutes 11 miles in 10 minutes

11. Step 2: Write a recursive routine for each showing: -where each STARTS (distance from Flint) -how that distance is changing every 10 minutes Is the distance from Flint decreasing or increasing? Van: Car: Truck: start at 220 miles from Flint ; distance from Flint decreases 12 miles every 10 minutes (going TO Flint) start at 35 miles from Flint; distance from Flint increases 8 miles every 10 minutes (going AWAY from Flint) start at 0 miles from Flint (IN Flint); distance from Flint increases 11 miles every 10 minutes (going AWAY from Flint)

12. Investigation Step 3: Fill in table. You can use your calculator FOR each vehicle: start counting time at zero {0, starting distance from Flint} ENTER {Ans(1)+10, Ans(2) ± _____} is the distance from Flint increasing or decreasing? add 10 minutes to previous time

13. GRAPH the data: How do we set up our graph? 1) decide which variable is the independent variable and which is the dependent variable 2) consider min/ max values in data 3) read carefully to see what info is required 4) label and scale each axis 5) plot your points

14. steps 4 and 5 1) Graph the points ON ONE GRAPH using a different color for each vehicle (TIME on x-axis, distance from Flint on y-axis THREE lines – van, car, truck) Should you connect the points? Does it make sense for this situation? 2) USE your graph to answer Steps 6 – 10. Step 11- what assumptions are we making in these graphs?

15. Practice Problems Do 2(a) together; do 2 b – d– make a TABLE of the points Do # 7, 8 and 9 with your group

16. strategies? what strategies did you use to find the next term? what math did we do today? what was new? what was review?