advertisement

Let Your Fingers Do the Talking Performance Assessment – Algebra II/Trigonometry Unit 2 Teacher Description of Task: Goal: Role: Audience: Situation: Product(s): Standards & Criteria for Success: Determine the best text messaging plan to fit the needs of various cell phone clients. Students will take on the role of a cell phone company representative. Clients of the cell phone company will be the audience for this task. Each student will be assigned to one of four cell phone companies, for which the basic rates for text messaging are provided. Each student will create a graph depicting the costs of the company for which he or she has been assigned and analyze the text message plans that might best suit particular customers. The student will create a written sales pitch that describes the text messaging plans of the company for which he or she is assigned. The sales pitch will be accompanied by a piece-wise graph showing the costs of the various types of text messaging plans. The student will then be expected to present their plan to others. The students will then be presented with possible clients with different text messaging needs and be asked to determine the best plan to suit the client’s needs. Students will complete a written reflection of the task and the process used to analyze the plans. MA.9-12.MA.A2.2.3: The student will recognize multiple representations of step functions and be able to determine the domain and range of a step function, graph using a transformational approach and a graphing calculator, and write an equation of a step function given a graph or table of values (SOL AII.8). Students will present a written description of the various text messaging plans, a chart describing them, a piecewise function graph with corresponding equations, written client suggestions, and completion of reflection questions. Teacher notes: - - The curricular focus of this task is based upon modeling real world data using piece-wise functions. Students will analyze the plans of one company to create a piecewise function graph and equation using the data provided. Encourage students to examine the domain of the function being graphed to ensure that the graph accurately reflects the various plans available. Does the domain of the function have open or closed endpoints? What is the independent and dependent variable of the function? Students may struggle with creating a “sales pitch” and may need specific information about what this means. Students should be encouraged to use appropriate mathematical terminology when providing explanations in the task. Let Your Fingers Do the Talking Performance Assessment Algebra II/Trigonometry Unit 2 You are a representative of a cell phone company and will describe your company’s text messaging plans in a written and verbal presentation and help clients to decide which text messaging plan would be best suited to their needs. You will be assigned as a sales person for one of the following four cell phone companies: AT&T, Verizon, Sprint, or T-Mobile. Your supervisor has asked you to create a written presentation of the various text messaging plans for your company including: A description of each text messaging plan A piecewise function graph depicting each plan A piecewise equation representing the various plans Persuasive information about why your company offers the best services You will present your plan to a group of sales persons from other companies. You will then be assigned three clients (a description of each client will be provided on an index card) and will determine which company’s text messaging plan best meets each client’s needs. A written reason for which plan was chosen will be required for each client. You will then be asked to provide written explanations to the task reflection questions shown below: 1. Why is the data included in the text messaging plans best modeled by a piecewise function? 2. What representation of your text messaging plans is best suited to explain your costs to potential clients? Why? 3. Do any of the plans for your company overlap one another? How is this represented in the graph? How is this represented by the equation? 4. Consider how many text messages you send in one day and multiply that by 30. Which plan would best fit your needs? Approximate your cost per text message. AT&T TEXT MESSAGING PLAN Messaging – 200 texts per month Messaging – 1500 texts per month Messaging – unlimited Messaging - Pay per use SPRINT/NEXTEL COST PER MONTH $5.00 $15.00 $20.00 $0.20 per text message/instant message $0.30 per picture/video message TEXT MESSAGING PLAN Messaging – 300 texts per month Messaging – 1000 texts per month Messaging – unlimited Messaging - Pay per use COST PER MONTH $5.00 $10.00 $10.00 with a Power Pack Plan $15.00 with other Cell Plans $0.20 per text message/instant message Verizon Wireless TEXT MESSAGING PLAN Unlimited Plus 500 – 500 text messages per month plus unlimited mobile to mobile minutes Unlimited Plus 1500 – 1500 text messages per month plus unlimited mobile to mobile minutes Unlimited Plus 5000 – 5000 text messages per month plus unlimited mobile to mobile minutes Messaging - Pay per use COST PER MONTH $10.00 $15.00 $20.00 $0.20 per text message/instant message $0.25 per picture/video message ALLTEL TEXT MESSAGING PLAN Messaging – 200 texts per month Messaging – 400 texts per month plus unlimited mobile to mobile minutes Messaging – 1000 texts per month plus unlimited mobile to mobile minutes Messaging – unlimited plus mobile web and data minutes Messaging - Pay per use COST PER MONTH $4.99 $7.99 $12.99 $19.99 $0.15 per text message/instant message $0.25 per picture/video message Let Your Fingers Do the Talking Performance Assessment Rubric Algebra II/Trigonometry Unit 2 Level Expert 4 Practitioner 3 Emerging 2 Novice 1 Multiple Representations Graph is completely: accurate neat easy to understand labeled; scaled to reflect data provided. Graph is generally: accurate neat easy to understand labeled; scaled to reflect data provided. Minor discrepancies do not affect overall result. Graph is partially: accurate neat easy to understand labeled; scaled to reflect data provided. Numerous errors detract from result. Graph is not completely: accurate neat easy to understand labeled; scaled to reflect data provided. Significant errors detract from result. Application Sophisticated interpretation is evident in the explanation. Interpretation of the problem is accurate. Interpretation of some of the problem is correct, but key elements are missed. Communication Sales pitch is exceptionally clear with a thorough analysis of data. Sales pitch is generally clear with a substantial analysis of data. Sales pitch lacks clarity and is difficult to follow. Reflection Reflection is connected to prior knowledge or learning. Extension of learning is consistently evident through reflection. Reflection is connected to prior knowledge or learning. Extension of learning is frequently evident through reflection. The reflection rarely uses prior knowledge or learning. Extension of learning is not consistently evident through reflection. Reflection is not connected to prior knowledge or learning. Interpretation of the problem is incorrect. Sales pitch is unclear with a limited analysis of the data. Extension of learning is not evident through reflection. Client List Age is: 10 years old→ This is the customer’s first cell phone and will only be allowed to use it to contact his parents or in an emergency. Texting is allowed but only in the above circumstances. Age is: 81 years old→ This customer will most likely only use texts to communicate with her grandkids. Age is: 73 years old→ This customer only uses his cell phone for emergencies. Age is: 25 years old→ Texting is the main form of communication for her. Age is: 19 years old→ He texts frequently but is on a strict budget so needs to spend as little as possible. Age is: 39 years old→ This working mom will mainly text will her teenage children although some of her friends communicate through texts. Age is: 55 years old→ He texts with his wife and adult children occasionally. Age is: 15 years old→ She texts constantly because then she is able to have multiple conversations going simultaneously. Her parents are on a budget. Age is: 43 years old→ Reads texts that are sent to him but does not text back. Age is: 28 years old→ Texting is her main form of communication but she recently lost her job so she needs to have the most economical plan that fits her needs. Age is: 10 years old→ Age is: 81 years old→ This is the customer’s first cell phone and will only be allowed to use it to contact his parents or in an emergency. Texting is allowed but only in the above circumstances. This customer will most likely only use texts to communicate with her grandkids. Age is: 73 years old→ Age is: 25 years old→ This customer only uses his cell phone for emergencies. Texting is the main form of communication for her. Age is: 19 years old→ He texts frequently but is on a strict budget so needs to spend as little as possible. Age is: 39 years old→ This working mom will mainly text will her teenage children although some of her friends communicate through texts. Age is: 55 years old→ Age is: 15 years old→ He texts with his wife and adult children occasionally. She texts constantly because then she is able to have multiple conversations going simultaneously. Her parents are on a budget. Age is: 43 years old→ Reads texts that are sent to him but does not text back. Age is: 28 years old→ Texting is her main form of communication but she recently lost her job so she needs to have the most economical plan that fits her needs.