Gift Card Representations

Transcription

1 Name Gift Card Representations Charmaine received a gift card for $ worth of media downloads. The cost of each download is $.5. Complete each representation for this scenario below. The remaining balance on the gift card depends on. Number of Downloads, x Remaining Balance on the Gift Card, y Create a graph for the situation. Remaining Balance on Gift Card ($) Number of Media Downloads Domain: Range: What function rule could be used to model this situation? Region Education Service Center Supporting STAAR Achievement: Algebra I

2 Twenty-Four List as many ways as you can to represent the quantity. Examples: x 6 + x+ Your representations: Region Education Service Center Supporting STAAR Achievement: Algebra I

3 Discussion Questions for Four Scenarios Cut along the bold dotted lines. Two sets of questions are provided. Discussion Questions for Four Scenarios. What is the scenario about?. What information is given?. How can we use the given information to determine the? (set of ordered pairs, mapping, total cost, area, etc.). Which is the independent variable and which is the dependent variable? How do we know? 5. How should we label the axes? 6. What would be an appropriate title for our graph? 7. How can we tell if there is a relationship or not? 8. Which representation do you think makes it easy to see a relationship, if there is one? Why? Discussion Questions for Four Scenarios. What is the scenario about?. What information is given?. How can we use the given information to determine the? (set of ordered pairs, mapping, total cost, area, etc.). Which is the independent variable and which is the dependent variable? How do we know? 5. How should we label the axes? 6. What would be an appropriate title for our graph? 7. How can we tell if there is a relationship or not? 8. Which representation do you think makes it easy to see a relationship, if there is one? Why? Region Education Service Center Supporting STAAR Achievement: Algebra I

4 Name Four Scenarios Scenario Use the information in the table below to complete the remaining information. The data in the table shows the height and shoe size for seven students. Name Height Shoe Size Aaron Bobby Cardell Dom 5 Euclid 6 6 Fred 5 George 5 8 Rewrite the information from the table as a list of ordered pairs in the form of (height, shoe size). {(, ), (, ), (, ), (, ), (, ), (, ), (, )} A mapping diagram could also be used to represent this relationship. Complete the mapping diagram by recording the unique shoe sizes in the diagram and then drawing an arrow from each height to its corresponding shoe size. Some heights may have more than one arrow. Create a graph of the data by graphing the ordered pairs. Shoe Size vs. Height Height Shoe Size Shoe Size Height (feet and inches) Does there seem to be a relationship between a person s shoe size and their height? Why or why not? Region Education Service Center Supporting STAAR Achievement: Algebra I

5 Scenario The price of a small pizza is $6. plus $.75 per topping. Complete each representation for this scenario below. The total cost of the pizza depends on. Complete the table with some of the possible values for this scenario. List a set of ordered pairs that represent the scenario. Number of Toppings, x Total Cost, y Write the equation that models this situation. Complete the mapping diagram with some of the values for this scenario. Graph Number of Toppings Total Cost Does there seem to be a relationship between the total cost of the pizza and the number of toppings? Why or why not? Region Education Service Center Supporting STAAR Achievement: Algebra I

6 Scenario The area, a, of a rectangle whose length is twice its width, w, is described by the equation, a = (w)(w) = w. Complete each representation for this scenario below. The area of the rectangle depends on. Complete the table with some of the possible values for this scenario. List a set of ordered pairs that represent the scenario. Width of the Rectangle, w 5 6 Area of the Rectangle, a Write the equation that models this situation. Complete the mapping diagram with some of the values for this scenario. Graph Width Area 5 6 Does there seem to be a relationship between the area and the width of the rectangle? Why or why not? Region Education Service Center Supporting STAAR Achievement: Algebra I

7 Scenario The total bill for each customer at the lemonade stand is a function of the number of glasses of lemonade purchased. This relationship can be represented by f(x) = {(, $.5), (, $5.), (, $7.5), (, $.)}. Complete each representation for this scenario below. The total bill depends on. Complete the table with the values for this scenario. List the set of ordered pairs that represent this scenario. Number of Glasses, x Total Bill, y Write the equation that models this situation. Complete the mapping diagram with the values for this scenario. Graph Does there seem to be a relationship between the total bill and the number of glasses of lemonade? Why or why not? Region Education Service Center Supporting STAAR Achievement: Algebra I

8 Name Notes Page Describe what each representation communicates. Representation Sample What the representation communicates Relation: set of ordered pairs {(, ), (, ), (, 5), (, )} Table x y Equation y = 5x Mapping Diagram 7 8 Graph A function is a relation where each value from the first set (domain) is mapped to exactly one value in the second set (range). For each scenario on Four Scenarios, determine if the scenario represents a function. Justify your answers. Scenario Does the scenario represent a function? Why or why not? Region Education Service Center Supporting STAAR Achievement: Algebra I

9 Function or Not? Cut out each of the cards. Sort the cards into two stacks. One stack represents functions. In the other stack place cards that do not represent functions. Highlight the part that makes the representation not a function. Tape the two stacks into your notebook as a flip book. A B x y x y C D E F y = x y = x + 5 Region Education Service Center Supporting STAAR Achievement: Algebra I

10 G H Number of Bottles of Water Sold Temperature I J {(, ), (, ), (, ), (, )} {(, ), (, ), (, ), (,)} K The population in a certain town is listed in the table. The table shows the population of the town every years starting at 95. L A waitress keeps track of the number of hours she works and the amount of money she earns. Year Population Hours Earnings $58. 5 $9. $6. 8 $6. Region Education Service Center Supporting STAAR Achievement: Algebra I

11 Name Evaluate:. Which graph best models the relationship shown in the table below? x y 6 A C B D Region Education Service Center Supporting STAAR Achievement: Algebra I

12 . Which mapping diagram best represents the function f(x) = x when the domain of the function is {,, }? 6 A B C D. The relation given by the ordered pairs {(,.89), (6,.99), (,.9), (,.9)} can be represented in several ways. Which of the following is not a correct representation? I Drink Size Price III $.89 oz. $.89 6 $.99 6 oz. $.99 oz. $.9 oz. $.9 $.9 $.9 II f(x) = x and the domain is {, 6,, }. IV Price ($) A I only B III only C I and II D III and IV Region Education Service Center Supporting STAAR Achievement: Algebra I

13 . Which of the following tables does not represent a function? A x y B x y C x y D x y 5 7 Region Education Service Center Supporting STAAR Achievement: Algebra I