FUN with Functions! Lesson Study Group B February 2012

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

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

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

The pattern is Finding Patterns Find a pattern between the yellow column and the blue column. The pattern is divide by 4 Prior Knowledge TWPS - whiteboards

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

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

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

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

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

What is a Function Table? xy 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

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 = ___

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.

Writing an equation xy The rule is… · 3 xy = ___ 3x = y y = 3x

Writing an equation xy The rule is… - 3 xy = ___ y = x - 3

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

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

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

+ 5 Function Tables xy The rule is: = ___ xy=

· 3 Function Tables xy The rule is: = ___ xy= 4

Function Tables xy Equation x – 6 = yy = x - 6

x y Function Tables Equation x – 4 = yy = x

Function Tables xy Equation y = x ÷ 4x ÷ 4 = y

Function Tables xy Equation y = x · 6x ·6 = y

Function Tables Equation x y y = x +9x + 9 = y

Function Tables xy Equation y = x ÷ 8x ÷8 = y

CST Released Question xy 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

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

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

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.

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

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