5E Lesson Plan Template Grade Level and Subject: 9th grade Algebra I Name of Teacher: Length of Lesson: Title of Lesson: 90 minutes I Got a New Phone! Jenna S. Saldaña Main Idea of the Lesson: Writing and Graphing Linear Equations State or National Standards for Lesson: A.3B: calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems; A.3C: graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems; A.2C: write linear equations in two variables given a table of values, a graph, and a verbal description; Objective/s- Write objective/s in SWBAT form… The SWBAT: 1. Identify slope and y-intercept given a real-world scenario. 2. Write an equation in slope intercept form to represent the real world scenario. Evaluation In the space below, write at least one question to match the objective you listed or describe what you will look at to be sure that students can do this. Students will use linear functions vocabulary to explain their reasoning in choosing the most cost effective cell phone plan. 1 5E Lesson Plan Template Engagement: Estimated Time: __5 minutes__ Description of Activity: Goal of this discussion is to get students excited about getting a phone and to begin thinking about what costs are associated with a cell phone plan. What the teacher does: What the student does: Ask class: How old do you think you have to be to get your first cell phone? Students are allowed to popcorn out their opinions Is this old enough? (show slide with babies using cell phones) Students are allowed to popcorn out their opinions How about them? Are they old enough? (slide with toddlers) Students are allowed to popcorn out their opinions What about these children? (slide with young children) Take a moment to poll the class. Raise hands for yes, then raise hands for no. Invite 1 student on each side to explain their reasoning. How about these teenagers?? Are they old enough to receive their first cell phone? Why or why not? Quick poll on class again. Invite 1 student on each side to explain their reasoning. Students raise their hands to vote yes or no. Two students are allowed to explain their reasoning. Students raise their hands to vote yes or no. Two students are allowed to explain their reasoning. Explain that it is always up to each family’s beliefs but today, we are going to play a little pretend. 2 Possible questions to ask students – think like a student and consider possible student responses 5E Lesson Plan Template “Congratulations! Your family has decided to give you the new phone you’ve always wanted, whether it’s the new iPhone 20 or the latest Android phone. You get your choice. What phone would you like if you could choose? Take a moment to think about the type of phone you would like.” Students think silently about their dream phone. “Please let your partner know.” Students share the “phone of their dreams” with their partner. Ask 1 or 2 students to share their dream phone with the class. Students share their dream phone with the class. “However, there is a catch. The catch is that you must pay for half of your own phone bill. We’re going to do some mathematical research online so you can choose the most cost effective plan to fit your needs.” Ask students what kind of costs they think are associated with a phone bill. Give students a moment to think silently, then work with their partner to come up with two to three ideas to share with the class. Students collaborate with their partner, write a couple of ideas down, be ready to share with the class. Ask students to share with the class what they believe phone bills charge for. Generate list on board of class ideas. Students volunteer/popcorn out a few ideas of charges. Teacher must inform students, “The cellular service companies we will be looking at today all charge by the amount of data you want each month. Because we know how much you like to 3 Possible student responses: activation fee, data charges, talk/text charges, access charges, etc. 5E Lesson Plan Template stream videos, listen to music, do Snapchat, etc….you will only be considering plans that give you AT LEAST 10GB of data every month.” **Please note that two plans have unlimited data. This follows the requirement of at least 10GB every month. Resources Needed: Powerpoint with slides of kids with phones Safety Considerations: None 4 5E Lesson Plan Template Exploration: Estimated Time: 40-45 minutes Overview of Activity: Students use handout to research costs of 3 major providers. Using data collected, students will create a table, then a graph of their information. Students will then identify difference between one-time fees and monthly fees in order to generate an equation for their phone bill in slope-intercept form. What the teacher does: What the student does: Possible questions to ask students – think like a student and consider possible student responses Before allowing students to pick up a tablet, hand out recording sheets with QR codes. Remind students that they will be doing research on three cell phone service providers. They are to look up cost per month for at least 10 GB of data. Plus they must also be searching for any “hidden fees” or activation fees, etc. Instruct students to pick up a tablet per student. During this time, teacher should pass out recording sheets with websites. One provider per group. Students go to websites and record the activation fees, costs associated with at least 10 GB of data, and access fees, if any. Disclaimer: Please note that I created these tinyURL’s to allow the students to spend the bulk of their “research time” creating the table, graph, and equation. I didn’t want them to get lost on each providers’ website. That said, the providers change their websites ALL the time, so before you conduct this lesson, verify the correct website, adjust as needed. 5 Applicable to ALL service providers: Does the website show you activation fees? *Suggest googling the fee* Why would companies not want to make these fees easier for customers find? Verizon: There is no 10 GB plan, what’s the next best option? Student should say 6 isn’t enough, so we must choose the 12 GB option. 5E Lesson Plan Template Verizon: www.tinyurl.com/verizoncost **Google “Verizon Activation Fee” – if necessary What does the fine print say about Verizon’s fees? Student should notice that it states plan cost PLUS $20/month… Does this $20 fee occur only once or every month? Student should notice that it states “$20/month”. T-Mobile www.tinyurl.com/tmobilecost **Google “Activation Fee TMobile” – if necessary T-Mobile Which plan best suits our data needs? Student should choose Unlimited. What does the fine print say about T-Mobile’s “unlimited plan”? *Unlimited 4G LTE customers who use more than 21 GB of data in a bill cycle will have their data usage de-prioritized compared to other customers for that bill cycle at locations and times when competing network demands occur, resulting in relatively slower speeds Teacher should push students to understand what this really means. Is it REALLY unlimited? Students answers will vary. Sprint www.tinyurl.com **Google “Activation Fee Sprint” – if neccessary Sprint What is different about this data plan initially? Be sure to check the fine print. It includes the phone. What would the plan cost if we already had our own phone? Includes service and $20/mo. lease for 24 mos. for well-qualified customers with new line activation or eligible upgrade on your choice of iPhone 6 (16GB), Galaxy S6 (32GB) or HTC One M9. Students might suggest subtracting the $20 from the total monthly price. Teacher should encourage this mindset. 6 5E Lesson Plan Template Once students have their costs written on their recording sheet, teacher should instruct students to put away their tablet. Students should then start creating a table for each company that represents the cost over 6 months INCLUDING month 0. How much will it cost at “month 0?” What does month 0 mean in context of this situation? Activation fees, before they start charging per month for data. Students should use their tables to create a single plot for all three companies. Students should either color code or differentiate their lines on the graph. How do we calculate slope from a table? Change in y divided by change in x. Finally, students should use their tables and graphs to write an equation for each company. Is the slope different than what we expected it to be? Why or why not? Students should recognize that Sprint and Verizon charge an ‘access fee’ every month for each line on the plan. Some students may have realized this before making the table, others may not have noticed. Always good to point it out/discuss. How do know what the y-intercept is? It’s at month 0. How/where is the y-intercept shown in the graph? on the y-axis, at month 0 Can we “see” the slope on the graph? It’s the rise over run. Controls steepness of the graph. Remind students about our slope-intercept form of a line. Y=mx+b Resources Needed: Internet access, recording sheets Safety Considerations: None 7 5E Lesson Plan Template Explanation: Estimated Time: 20 minutes Overview of Activity: Students share explanations of findings with the class. What the teacher does: What the student does: Possible questions to ask students – think like a student and consider possible student responses Give each group a set of cards with sentence stems on each card. Each student is responsible for presenting at least one card to report their groups’ findings to the rest of the class. Students fill out their sentence stem about their research. Then present to the class. Explain how you calculated the slope. Explain how you calculated the y-intercept. Students who are not presenting should be plotting the graph and writing the equation on their own graphs. This is their opportunity to get the information about the companies they did not research. Show the slope and y-intercept in the graph to the class. After the second group, which of the two companies do we believe has a better deal? What about the third? How do we know? How does having the same activation fee affect the graph? Resources Needed: Explanation Sentence Stems Safety Considerations: None 8 5E Lesson Plan Template Elaboration: Estimated Time: 10 minutes Overview of Activity: Allows students an opportunity to process and extend their understanding of the functions generated in the Explore by answering real world questions. What the teacher does: What the student does: Possible questions to ask students – think like a student and consider possible student responses Teacher hands out Elaboration questions. Works with partner to answer questions in The following questions are just in case a student is Instructs students that they have 10-12 minutes detail. stuck on the Elaboration questions. to answer the six questions with their partner. These questions are just about the table, graph, Each student should be answering the a) What part of the equation represents months? and equation they’ve already created. questions on their own paper and be prepared to discuss the answer and show b) What part of the equation represents the total Students should also know that their their work on the document camera by cost? work/answers will be shared with the class on a themselves if called upon. random basis, so they should be detailed in c) At what point do the lines/functions meet up on showing their work and writing their answers. the graph? Suggestion: After the students have had sufficient time to answer the questions, class will “Cube” the answers to go over them. Rules for “Cubing” Each pair has 1 die. Each student rolls the die and answers the question with the corresponding number. If a number is rolled more than once the student may elaborate on the previous response or roll again. Students are to write a conclusion d) Look at the graph, which plan is always the paragraph explaining their pick for the most “highest?” cost effective plan and why they believe it to be the best option. 3) What do you think someone means by “best” plan? Are there different ways to constitute “best?” Which one would you choose? Resources Needed: Elaborate Handout Safety Considerations: None 9 5E Lesson Plan Template Evaluation: Estimated Time: 10 minutes Description of Activity: Students are asked to work as a group to develop their own equation to beat out the competition. They graph theirs on a poster and compare all plans to choose the best deal. What the teacher does: What the student does: Possible questions to ask students – think like a student and consider possible student responses Part 1) Students work in groups to generate an equation AND use it to graph it accurately on their poster. Part 1) What amount would you like to choose that fits the criteria for the activation fee? How can we use that amount on the graph? In the equation? The teacher should have a poster for each group with the axes labeled. If there is time, the teacher could plot the lines for the three companies prior to giving to the students. Desmos is an awesome resource as well for graphing! Part 1) Teacher presents challenge to students: Your company has allowed you to propose your own cell phone plan prices to beat all the competition. However, there are a few guidelines you must follow so that your company will accept your proposal. Your plan must: 1) The plan must have an activation fee of $100 How much do you want to charge per month so that your plan is cheaper than Sprint after 6 months? How can we check to see if your plan meets all the requirements? 2) The plan must be less than Sprint after 6 months Would YOU choose this plan if given the option? 3) Your final function for your plan must be increasing. Other than that, you can create any function/plan you want. Your equation AND graph must be visible on the posters provided. 10 5E Lesson Plan Template Part 2) Once the functions and graphs are created, bring all students back to their desks. Give each student a sticky note and tell them to write one sentence using at least 1 of the provided vocabulary words to support their favorite plan and/or explain why it’s their favorite and place it on the corresponding chart. Since this is the Evaluate, be sure they put their name on their sticky note so you can check their understanding. Part 2) Students walk around to the different posters, find their “best” plan, and then write 1 sentence using at least 1-2 of the provided vocabulary words on their sticky note. Finally, they should put their sticky not on the poster of the plan they choose. Vocabulary Word Bank: Total, monthly rate, cost, months, y-intercept, slope, activation fee Part 3) Announce the “Most Demanded Cell Phone Plan!” Read some of the sticky notes out loud with the class, if you’d like. Resources Needed: Sticky notes Safety Considerations: None 11 Part 2) Is there a plan that is cheapest overall? How do you know it’s the “cheapest?” Are there any other considerations you should have about choosing a plan other than price? How would that affect your decision today?