1. FUN with Functions! Lesson Study Group B February 2012

2. Objectives I will be able to use a function table to write an equation. I will be able to use the equation to complete the missing values in the function table. Algebra and FUNCTIONS 1.5

3. Finding Patterns Find a pattern between the yellow column and the blue column. The pattern is subtract 3 Prior Knowledge 41 74 96 30 63 The pattern is It is not a pattern until you have checked 3 rows!

4. The pattern is Finding Patterns Find a pattern between the yellow row and the blue row. The pattern is multiply by 3 Prior Knowledge 350912 91502736 TPS/whiteboards

5. The pattern is Finding Patterns Find a pattern between the yellow column and the blue column. The pattern is divide by 4 Prior Knowledge 164 41 82 369 246 TWPS - whiteboards

6. The pattern is Finding Patterns Find a pattern between the yellow row and the blue row. The pattern is add 2 Prior Knowledge 35701 57923 whiteboards

7. 8 + 4 12 What is a Function? A function is a rule, that for every value of x (input) gives exactly one value of y (output). x y

8. 7 + 4 11 What is a Function? A function is a rule, that for every value of x (input) gives exactly one value of y (output). x y

9. What is a Function? A function is a rule, that for every value of x (input) gives exactly one value of y (output).

10. Functions In the incomplete equation + 5 = ___ is the input (x) _____ is the output (y) + 5 is the rule (pattern) x + 5 = y y = x + 5

11. What is a Function Table? xy 41 82 369 246 A function table is a way of organizing values. Now you can find a pattern between an x value and a y value to write an equation. a a a a a a a a

12. Connecting a Function to its Table x (input)y (output) The input is a number going in. The output is the result of applying the rule ( + 5) + 5 is the rule Let’s imagine this equation+ 5 = ___

13. Steps for Writing an Equation Step 1: Find a pattern Step 2: Identify the rule Step 3: Write an equation by adding x and y to the rule.

14. Writing an equation xy 515 00 927 1236 The rule is… · 3 xy = ___ 3x = y y = 3x

15. Writing an equation xy 74 96 30 63 The rule is… - 3 xy = ___ y = x - 3

16. x5701 y7923 Writing an equation The rule is… + 2 x y = ___ y = x + 2

17. x2535105 y5721 Writing an equation The rule is… ÷ 5 x y = ___ y = x ÷ 5 TWPS - whiteboards

18. Steps to Completing a Function Table Step 1: Find a pattern Step 2: Identify the rule Step 3: Write an equation by adding x and y to the rule. Step 4: Use the x value to calculate the y value. Steps for Writing an Equation

19. + 5 Function Tables xy 510 712 1015 The rule is: 1318 1520 1722 = ___ xy=

20. · 3 Function Tables xy 618 12 515 The rule is: 721 39 1030 = ___ xy= 4

21. Function Tables xy 1812 104 2014 Equation 93 1610 60 x – 6 = yy = x - 6

22. x69111540 y271611 Function Tables Equation x – 4 = yy = x - 4 536 20

23. Function Tables xy 205 82 41 Equation 246 123 287 y = x ÷ 4x ÷ 4 = y

24. Function Tables xy 318 530 00 Equation 954 636 742 y = x · 6x ·6 = y

25. Function Tables Equation x2221380 y1117169 y = x +9x + 9 = y 2231 7

26. Function Tables xy 324 243 162 11 Equation 88 567 486 y = x ÷ 8x ÷8 = y

27. CST Released Question xy 981 218 436 1199 Which equation could have been used to create this function table? a)y = x + 9 b)y = x – 9 c)y = 9x d)y = Justify your answer

28. Word Problem Number of Family Members Total Cost for Tickets 1$17 2$34 5$85 9 Choose the number to complete the function table to find how much 9 tickets will cost. a)$8 b)$102 c)$136 d)$153 Justify your answer

29. Which table represents values of x and y such that y = x + 7? xy 18 410 xY 92 61 xy 411 29 xy 29 3 A. B. C. D. Justify your answer

30. Objectives I will be able to use a function table to write an equation. I will be able to use the equation to complete the missing values in the function table.

31. Ticket Out the Door! QUIZ Complete quiz from today’s lesson with the following information:  Rule  Equation  Explanation  Complete function table You Rule! Create your own function table with the following information:  Rule  Equation  Completed Table:  must have an x and a y  include at least 4 rows of numbers  Write a real life situation to go with your table

32. Input Partner A Output Partner B Guess My Rule! Partner B pulls a cardPartner A pulls a card Input Partner A Output Partner B