Objective: SWBAT identify and represent patterns that describe linear function from real world scenarios. Bell Ringer: 1.Sketch a graph of each situation. 1.Hours of daylight over the course of 1 year 2.Your distance from the ground as you ride a Ferris wheel 3.Your pulse rate as you watch a scary movie 5 minutes 4 minutes 3 minutes 2 minutes 1 minute 30 seconds TIMES UP!!! Homework: Textbook- Read Do: P : 2, 3, 7, 9, 11, 17, 19

What are the variables in the playground scenario? Consider quantity of children Time of day temperature There are 6 children playing in a playground. Is the number of children playing a constant or a variable quantity? The # of children is a variable quantity because it will change. Homework: Textbook- Read Do: P : 2, 3, 7, 9, 11, 17, 19 What other variables might affect the number of children at the playground? Time of day; temperature… Objective: SWBAT identify and represent patterns that describe linear function from real world scenarios.

Independent Variable Definitions A variable whose value depends on the value of another variable. It changes in response to another variable. Also called OUTPUTS Dependent Variable The variable that changes another variable. Also called INPUTS Playground Temperature/ Weather Time of day # of Children Homework: Textbook- Read Do: P : 2, 3, 7, 9, 11, 17, 19 Objective: SWBAT identify and represent patterns that describe linear function from real world scenarios.

Definitions The relationship that pairs each input value with exactly one output variable Function Example: y = 3x + 1 Or f(x) = 3x + 1 Note: f(x) or the function of x is read: “F” of “x” Homework: Textbook- Read Do: P : 2, 3, 7, 9, 11, 17, 19 Objective: SWBAT identify and represent patterns that describe linear function from real world scenarios. Linear FunctionA function whose graph is a non vertical line or part of a non vertical line

# of Photos x Memory (MB) y Homework: Textbook- Read Do: P : 2, 3, 7, 9, 11, 17, 19 Objective: SWBAT identify and represent patterns that describe linear function from real world scenarios. The table shows the relationship between the # of photos you take, x, and the amount of memory, y, in megabytes (MB) left on your cameras memory. Is the relationship a linear function? 1. What is the independent variable (input)? x 2. What is the dependent variable (output)? y 3. What is the pattern? Words: The amount of memory left on a chip is 512 minus the quantity 3 ties the number of photos taken Equation: y = 512 – 3x

# of Photos x Memory (MB) y Homework: Textbook- Read Do: P : 2, 3, 7, 9, 11, 17, 19 Objective: SWBAT identify and represent patterns that describe linear function from real world scenarios. Words: The amount of memory left on a chip is 512 minus the quantity 3 ties the number of photos taken Equation: y = 512 – 3x Is this a linear function?? The points lie on a line, so the relationship between the number of photos taken and the amount of memory remaining IS A LINEAR FUNCTION

You can make 5 gallon of liquid fertilizer by mixing 8 teaspoons of powered fertilizer with water. Represent the relationship between the teaspoons of powder used and the gallons of fertilizer made using : a table, an equation, and a graph. Is the amount of fertilizer made a function of the amount of powder used? Explain. Reflection Homework: Textbook- Read Do: P : 2, 3, 7, 9, 11, 17, 19 Objective: SWBAT identify and represent patterns that describe linear function from real world scenarios.