1. Algebra 1 14 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 1) 15 + 2(5 - 7) 2 2) solve using an undo table:

2. Objective Students will write a linear equation given a recursive sequence, graph or data. Students will take notes, do an investigation and use think-pair-share.

3. Homework due today pg. 169: 5, 7, 14 DISCUSS/ STUDENTS PRESENT Homework due next class pg. 193: 11, 12

4. 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

5. 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

6. 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)

7. 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

8. 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

9. 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?

10. Practice Problems Do 2(a) together; do 2 b – d– - write a recursive routine to generate the sequence - make a TABLE of the points Do # 7, 8 and 9 with your group

11. Summary- graph from recursive rule Quantities generated by a recursive additive sequence have a LINEAR RELATIONSHIP because their graphs lie on a straight line. They have a CONSTANT RATE OF CHANGE, described in the recursive rule. If the amount added is positive, the graph rises from left to right (positive slope) If the amount added is negative, the graph falls from left to right (negative slope)

12. Linear Equations and the Intercept Form pg. 178 section 3.4 Investigation “working out with equations” Steps 1 – 3 Read the steps Write what we KNOW and WANT to find Calculator routine {0,215} Enter {Ans(1)+1,Ans(2)+3.8}

13. investigation… Steps 4 – 7 Read carefully Write what you KNOW and WANT to find THINK– PAIR– SHARE Step 8– PLOT by hand on graph paper Do steps 9 and 10

14. NOTES- finding equations Intercept form y = b + mx (OR y = mx + b ) of a linear function y = b ± mx y = b + mx Slope goes with the x 1. where does it start? y-intercept, value when x = 0 2. increasing or decreasing? 3. By how much? ( add or subtract repeatedly x times )

15. pg. 181 example B Write what you KNOW and WANT to find for each part. REPEAT steps a - e for Sports Car— KNOW– starts 35 miles from Flint and travels away from Flint at 48 mi/h REPEAT steps a – e for Truck— KNOW- starts 0 miles from Flint and travels away from Flint at 66 mi/h

16. do pg. 182+ 2. graph on calculator and answer questions Y= 24 – 45x 3. graph on calculator and answer questions Y= 4.7 + 2.8x DO 5, 8, 9, 10, 14, 15

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