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 240 - 242 Do: P. 243-245: 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 240 - 242 Do: P. 243-245: 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 240 - 242 Do: P. 243-245: 2, 3, 7, 9, 11, 17, 19

Objective: SWBAT

identify and represent patterns that describe linear function from real world scenarios.

DefinitionsThe relationship that pairs each input value with exactly one output variable

Function

Example:y = 3x + 1 Or f(x) = 3x + 1Note:f(x) or the function of x is read: “F” of “x”

Homework: Textbook- Read 240 - 242 Do: P. 243-245: 2, 3, 7, 9, 11, 17, 19

Objective: SWBAT

identify and represent patterns that describe linear function from real world scenarios.

Linear Function A function whose graph is a non vertical line or part of a non vertical line

# of Photosx

Memory (MB)y

0 512

1 509

2 506

3 503

Homework: Textbook- Read 240 - 242 Do: P. 243-245: 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 Photosx

Memory (MB)y

0 512

1 509

2 506

3 503

Homework: Textbook- Read 240 - 242 Do: P. 243-245: 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 takenEquation: 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 240 - 242 Do: P. 243-245: 2, 3, 7, 9, 11, 17, 19

Objective: SWBAT

identify and represent patterns that describe linear function from real world scenarios.