1. Section 5

2. Open Learning Logs Date on Left…Section 1 – 5 on right

3. WARM UP 1 – 5 Write a formula that describes the pattern. (what do we have to do to x to get y?) x123456 y24681012 x123456 y35791113 x123456 y149162536 x123456 y2510172637 x123456 y5811141720

4. Section 5 Why would we use variables to describe patterns in tables?

5. Homework Check

6. Here is the world’s wildest housing development! House 1 House 2 House 3 House 4 ? House 10 Set up a table… h is house number… r is the number of rectangular blocks in that house 8642r 4321h Find a formula for r in terms of h Algebraically … r = 2h

7. Number of Lemons Cups of Punch 11.5 23 34.5 4? Translate from Tables to Math and solve!!!! Write an equation to show total cups of punch from number of lemons and finish the table. Let n = number of Lemons Let c = cups of punch c = 1.5n

8. Minutes in phone call Cost of call 1$2.15 2$2.30 3$2.45 4? Translate from Tables to Math and solve!!!! Write an equation to show total cost of call from number of minutes and finish the table. Let n = number of minutes Let c = total cost c = $2.00 + $0.15n

9. Write a formula that describes the pattern. (what do we have to do to x to get y?) XY 17 211 315 419 523 627

10. Write a formula that describes the pattern. (what do we have to do to x to get y?) XY 11 27 313 419 525 631

11. Write a formula that describes the pattern. (what do we have to do to x to get y?) XY 13.75 25.5 37.25 49 510.75 612.5

12. Write a formula that describes the pattern. (what do we have to do to x to get y?) XY 53 106 159 2012 2515 3018

13. Tonight’s Homework HoffmaSheet 1-5 SKIP problems 9 - 14

14. Open Learning Logs Date on Left Section 1 – 5 Part 2 on right

15. 1-5 Warm up Part 2 Number of Apple Pies Eaten Pounds gained 11.5 22 32.5 4? Let n = number of apple pies Let p = pounds gained Write a formula to represent this table

16. Homework Check

17. Definitions for functions The part 2 warm-up example had two variables. One variable “p” had no choice but to change its value depending on the value of the other variable “n”. Because “p” had to change its value in relation to “n”, we say “p” is dependent on “n”. Put another way, “p” is the dependent variable. That makes “n” the independent variable. Independent Variable provides the input values to a function. These values are called the Domain of the function. Dependent Variable provides the output values of a function. These values are called the Range of the function.

18. Definitions for functions Independent Variable provides the input values to a function. These values are called the Domain of the function. Dependent Variable provides the output values of a function. These values are called the Range of the function. A Function is the rule, or set of operations, used to get from the independent variable’s value to the dependent variable’s value – it’s what you DO to the input to get the output

19. The amount Maria earns for babysitting after school and on Saturday depends upon the number of hours she works. She works no more than 16 hours a week and earns 7$ per hour Independent Variable: Dependent Variable: Let T be the amount of money Maria makes, and h be the number of hours she works. What is the… Domain: Range: h T 0 – 16 hours $0 - $112 Maria earns $7 per hour for babysitting after school and on Saturday. She works no more than 16 hours a week. HoffmaSample Function Rule: T = 7h

20. Please do…now… HoffmaSheet 1 – 5 numbers 9 – 14 Watch out for the type reflow….