4 Representation of Functions

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Materials Needs Pencil Notebook Scissors Glue Passport Packet Planner

Table of Contents Pg Title 10 LI/SC, Warm Up, Guided Practice 11 Four Representations of Functions

Warm Up Video!

Think, Pair, Share What do you know about graphing linear equations, after watching the video?

The Great Barrier Reef, Queensland, Australia

Learning Intention/Success Criteria LI: We are learning the different ways to represent a function SC: I know how to… 1. identify the four representations of functions 2. move between the four representation of functions 3. graph and identify ordered pairs 4. evaluate expressions and equations 5. evaluate functions from tables, graphs, equations, and context clues

Today’s Vocabulary Linear Function: The equation of a function representing a straight line Slope-Intercept Form: The equation of a line in a the form: f(x) = mx + b y-intercept slope

Today’s Vocabulary Slope: Indicates the steepness of a line Indicates if the line is tilted uphill or downhill Represented by the letter “m” Y-Intercept: The point at which the graph intersects the y-axis Represented by the letter “b”

Today’s Vocabulary Symbolic Representation: A function represented as an equation Visual Representation: A function represented as an graph Numeric Representation A function represented as a table or set of ordered pairs

Today’s Vocabulary Verbal Representation: A function represented in words, often depicting a real world situation

Example 1: Using the given verbal representation, find the symbolic, visual, and numeric representations At the Makai parking garage, it costs $5 to bring your car into the garage plus $2 for every hour the car is parked. Slope: Y-Intercept: Equation: 2 5 C(h) = 2h + 5

Hours Charge 5 1 7 2 9 3 11 4 13 5 15

18 15 12 Cost to Park ($) 9 6 3 1 2 3 4 5 6 Hours parked

Group Work Directions Work with your Country to come up with the answers for your assigned page. You will be presenting your findings to the class upon finishing with your group Whatever is not presented in class will be assigned for homework.

Period 1 Sweden: Situation 2, Monthly Cell Phone Bill UK: Situation 3, Tree Growth vs Years South Korea: Situation 4, Miles Traveled vs Hrs Brazil: Situation 5, Plumbing Repair Costs Switzerland: Situation 6, Gas Cost vs Gallons Kenya: Situation 7, Pumpkin Weight

Period 2 Sweden: Situation 2, Monthly Cell Phone Bill UK: Situation 3, Tree Growth vs Years South Korea: Situation 4, Miles Traveled vs Hrs Brazil: Situation 5, Plumbing Repair Costs Switzerland: Situation 6, Gas Cost vs Gallons Kenya: Situation 7, Pumpkin Weight

Period 3 Sweden: Situation 2, Monthly Cell Phone Bill UK: Situation 3, Tree Growth vs Years South Korea: Situation 4, Miles Traveled vs Hrs Brazil: Situation 5, Plumbing Repair Costs Switzerland: Situation 6, Gas Cost vs Gallons Kenya: Situation 7, Pumpkin Weight

Period 4 Sweden: Situation 2, Monthly Cell Phone Bill UK: Situation 3, Tree Growth vs Years South Korea: Situation 4, Miles Traveled vs Hrs Brazil: Situation 5, Plumbing Repair Costs Switzerland: Situation 6, Gas Cost vs Gallons Kenya: Situation 7, Pumpkin Weight

Period 5 Sweden: Situation 2, Monthly Cell Phone Bill UK: Situation 3, Tree Growth vs Years South Korea: Situation 4, Miles Traveled vs Hrs Brazil: Situation 5, Plumbing Repair Costs Switzerland: Situation 6, Gas Cost vs Gallons Kenya: Situation 7, Pumpkin Weight

Period 6 Sweden: Situation 2, Monthly Cell Phone Bill UK: Situation 3, Tree Growth vs Years South Korea: Situation 4, Miles Traveled vs Hrs Brazil: Situation 5, Plumbing Repair Costs Switzerland: Situation 6, Gas Cost vs Gallons Kenya: Situation 7, Pumpkin Weight

Passport Stamp Grade yourself with a passport stamp at the Great Barrier Reef. How deep are you diving to see the animals? Represent your learning with how deep you will be diving, between 0 and -100 feet. The smaller the number, the deeper you are, which means understand it more 