Go Big, Papa? Final Project By Colleen Harger Contents Page 2………………………Instructional Strategies Page 5…….….Goals, Objectives, and Standards Page 7…….………………………….………..Assessment Page 9…….…………………….Technology Rationale Page 10 Activity Video and Student Handout Page 11 ………………………………………. Resources 1|Page Instructional Strategies Learner & Environmental Analysis Learner & Environmental Strategies, Activities and Performance Indicators Analysis Prior Knowledge For the activity, students will need to know how to write an equation using a variable. They will also need to know how to use a graph to represent the equation and how the values change. Students will also have prior knowledge on calculating area of circle, unit rates, and percents. Context and Situation In class, the students will watch the Papa John’s commercial online. They will then also watch the video that will guide them through the activity. In small groups during class time; Goal 1: Students will write and evaluate algebraic expressions. Objective 1: Students will write and evaluate an algebraic expression to represent the cost of pizza as a function of the number of toppings. Objective 2: Students will relate a linear expression to a table of values and to a graph. Goal 2: Students will calculate savings. Objective 1: Students will calculate percent savings, and compare deals by considering both absolute ($) and relative (%) savings. Objective 2: Students will calculate the cost per unit to determine the best buy. Objective 3: Students will determine when a special offer will save money and model those findings algebraically and graphically. For the assessment, students will work in small groups in class. They will go online to research another pizza place and collect the necessary information. Students will complete the assessment in their group by creating a presentation. They will use any online tool or other technology tool for their presentation. Students will be able to choose how they want to do their 2|Page Learning Styles/Differentiation assessment presentation. Some possible options are PowerPoint, Prezi, Glogster, Smartboard, or any other presentation tool they feel comfortable with. Learner Considerations: Cultural, Special Needs, etc. Students will be able to watch the video multiple times. They will be able to ask questions and get help. They will also work in small groups for the assessment. Media and Technology Preferences and Current Environment Students will be able to watch the Papa John’s commercial and instructional video on the web. They will be able to use the internet to research other pizza place’s menus. They will be able to choose the technology they feel most comfortable with to use as their presentation tool. Instructional Strategies & Sequence of Events Instructional Event Instructional Strategy (Describe how you will accomplish the instructional event) Capture the attention of the learner. I would start with a survey on what are students’ favorite toppings on pizzas. We would take the top 3-4 toppings, discuss what we could call the pizza, and then have a discussion on how we decide how much to charge for our “new” pizza. Describe to learners what performance objectives are to be achieved. It would be discussed that students will write an equation to represent the change in pizza prices by both size and toppings. They will represent that equation and change in prices graphically. They will also calculate cost savings, compare, and evaluate the results of their calculations. Help learners recall prerequisite learning. Before the lesson, students would have an assignment to watch a video on area of circles and unit rates. They would also practice solving a few area of circle and unit rate problems as a refresher for the “pizza” project. The following question would also be proposed to the students. “Have you ever been in a pizza place and tried to order pizza and one person doesn’t want this topping, another doesn’t want that topping, but another wants everything? Money wise, what is the best solution? Buy a specialty pizza and ask them to leave off some toppings or order a create your own pizza?” 3|Page Present instruction to facilitate learners’ achievement of performance objectives. Guide the learners through the materials so they begin to meet the objectives. Students will watch to Papa John’s pizza commercial. They will follow along with the student worksheet. Together we will discuss how to write the equation to represent the pricing of “create your own” pizzas. They will graph their results. We will then calculate the cost savings both as money savings and percent of savings between create your own pizzas and specialty pizzas. Prompt the performance. The Papa John’s video guides the students through the activities. It will be discussed with the students what they will need to do for each step. Give feedback to the learners. We will go over the equations, charts, and graphs to make sure the students understand. Questions will be answered and they will receive feedback on how they did. There will also be a rubric that students will get as feedback from their final assessment. The teacher will walk around and ask the students questions Evaluate how well the learners are beginning to about what the equations represent, how the equation would change with different prices or sizes, and what the percent achieve the objectives. savings really mean. Work toward helping the learners retain what they have learned and apply it. 4|Page As an assessment, students will work in groups and research another pizza place’s menu. They need to write their own equation for the pizza pricing and calculate the cost savings. They will need to give a presentation of their findings. There will also be a discussion on how writing and using equations in that way can be a useful tool in the future. What other kinds of businesses might use equations like that to calculate pricing for their products. Project Goals and Objectives Goal 1: Students will write and evaluate algebraic expressions. Objective 1: Students will write and evaluate an algebraic expression to represent the cost of pizza as a function of the number of toppings. Objective 2: Students will relate a linear expression to a table of values and to a graph. Goal 2: Students will calculate savings. Objective 1: Students will calculate percent savings, and compare deals by considering both absolute ($) and relative (%) savings. Objective 2: Students will calculate the cost per unit to determine the best buy. Objective 3: Students will determine when a special offer will save money and model those findings algebraically and graphically. Common Core Math Standards: Grade 7 7 RP.3: Use proportional relationships to solve multistep ratio and percent problems. 7 EE.4a: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. 7 G.4: Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. Grade 8 EE.8a: Analyze and solve pairs of simultaneous linear equations. 8 F.1. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.1 5|Page 8.F.2. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change. 8.F.3. Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. NETS-S Standards: 3. Research and Information Fluency: Students apply digital tools to gather, evaluate, and use information. 4. Critical Thinking, Problem Solving, and Decision Making: Students use critical thinking skills to plan and conduct research, manage projects, solve problems, and make informed decisions using appropriate digital tools and resources. 21st Century Skills: LEARNING AND INNOVATION SKILLS: CREATIVITY AND INNOVATION, Work Creatively with Others CRITICAL THINKING AND PROBLEM SOLVING: Make Judgments and Decisions, Solve Problems Communication and Collaboration: Communicate Clearly, Collaborate with Others INFORMATION, MEDIA AND TECHNOLOGY SKILLS: INFORMATION LITERACY: Access and Evaluate Information, Use and Manage Information MEDIA LITERACY: Analyze Media 6|Page Assessment Papa John’s want to know if they are in line with their competitors pizza prices. Students will get into groups of 3-4. They will choose another pizza place and research it’s create your own pizza prices and 1 specialty pizza price, including different sizes. Students will create a presentation for Papa John’s to let them know how they match up to their competitor’s cost savings between their create your own pizza and specialty pizzas. For each group’s pizza place: 1. Students will write an algebraic expression to represent the cost of the create your own pizzas. Students will represent their pizza prices with both a chart and an x-y graph. 2. Students will calculate cost savings in both money and percent. They will create a chart representing this information. 3. Students will report their findings and compare them to Papa John’s savings. They will determine which pizza place has the best savings. **Students can use any (or multiple) presentation tool they feel comfortable with for their presentation. i.e. Glogster, Prezi, PowerPoint, SmartBoard, Excel… **Pizza place suggestions (but not limited to): Pizza Hut, Papa Murphy’s, Domino’s, Rocky Rococo’s , Little Caesar’s, Buck’s Pizza (any local pizza shops)… Assessment Tool: Students will be assessed on their understanding of the task by a Rubric. (See Rubric Below) 7|Page Multimedia Project : Go Big, Papa? Teacher Name: Colleen Harger Student Name: ________________________________________ 3 2 1 Accuracy Algebraic Expression is accurate. Data is represented accurately in both a chart and graph. Algebraic Expression is accurate. Data is represented in both a chart and graph but with minor errors. Algebraic Expression is inaccurate. Data is not represented in both a chart and graph, with errors. /3 Content All information is All information not covered and covered, but final questions answered. question answered. All information not covered and final question not answered. /3 Attractiveness Makes excellent use of font, color, graphics, effects, etc. to enhance the presentation. Makes good use of font, color, graphics, effects, etc. to enhance to presentation. Good font, color, graphics, effects, etc. are lacking in presentation. /3 Presentation Convincing presentation and includes all members of group in some way. Presentation is ok but does not include all members of the group. Presentation is poor and does not include all members of the group. CATEGORY Total: 8|Page /3 /12 Technology Rationale As part of my activity, I start with a flipped lesson on area of circles and unit rates. Students will need internet access to watch a video or read a description of the how to do the tasks as a refresher before the main activity. Next, technology is used for watching the Papa John’s commercial. As this is not completely necessary, I think it is a nice attention getter/opener. Sometimes having that eyecatching visual helps to get the students’ attention and motivate them to get involved in the activity more than just a discussion and worksheets would. I also like the video that goes along with the lesson that guides the students through the activity. Again, not completely necessary as I could lead them through activity, but then we have the option of students working at their own pace, they can go back and watch parts over again if necessary, and it gives the students a direct visual of the charts and graphs they are working on. For the assessment, students can use the internet to research other pizza places menus. Students could get menus directly from a local pizza place, but using the internet will most likely be more convenient for them and they will also have more options of different pizza places to research. After students have done their research, they will need to decide how they are going to give their presentation. Students can use Glogster, Excel, Smartboard, Prezi, or any other presentation tool they feel comfortable using. Students will also use graphing websites to plot their equations so that they can attach it to their presentation. Because students are “pretending” to give a presentation to Papa John’s about how other pizza place’s cost savings compares to Papa John’s, the presentations should be professional. With today’s technology options and the options to come in the future, using technology for their presentations will not only make their presentations more appealing and professional, it will also be more like a real life experience of their future job experiences. When students go out in the workforce and have to give a presentation, having the experience using technology will only benefit them. 9|Page Go Big, Papa? Video and Student Handout The Papa John’s commercial, video, and student handouts can be found at the following website. http://www.mathalicious.com/lesson/go-big-papa/ 10 | P a g e Resources http://www.iste.org/Libraries/PDFs/NETS-S_Standards.sflb.ashx http://www.corestandards.org/the-standards/mathematics http://edt674.wikispaces.com/file/view/P21_Framework_Definitions.pdf http://www.mathalicious.com/lesson/go-big-papa/ 11 | P a g e