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Design Document

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P-12 Design Document th

Course Title: 8  grade CCGPS Linear Functions Course Objectives: • gra ph proportional relationships; • interpret unit rate as the slope; • compare two different proportional relationships represented in different ways; • use similar triangles to explain why the slope is the same between any two points on a non-vertical line; • derive the equation y = mx for a line through the origin; • derive the equation y = mx + b for a line intercepting the vertical axis at b; and • interpret equations in y = mx + b form as linear functions. Course Standards: MCC8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. MCC8.EE.6 Use similar triangles to explain why the slope m is the same between any an y two distinct points on a non-vertical line in the coordinate plane; derive the equation equa tion y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. MCC8.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.

Time Flexibility : The course is a 4 week course based on asynchronous and synchronous individual and group work. Each week there will be an assigned learning module with a discussion, individual task, assessment requirement, and a piece to work on to add to the overall group project due at the end e nd of the course. Week one o ne will also require an introduction discussion and week four will require a group evaluation discussion. Overall, there will be a total of 6 discussions, 4 individual assignments, 3 individual assessments and 1 group project.

Each discussion must have an initial post completed by Wednesday night at 11:59 pm and all other course work is due on Sunday of each week by 11:59 pm eastern standard time. Group Composition: During the first week of class students will have to complete an introduction discussion. During this discussion students will get to know one another and will be allowed to form groups of 4 for their final project due at the end of the th e course. Students will be asked to sign up for groups on o n a Google document that the instructor will provide the link to in the course module for week 1. Any student who does not sign up for a group by the end of week one will be assigned to a group by the instructor. Groups will be asked to communicate on an assigned group discussion board that is locked for only their group to see, this way the th e instructor can track the work and make sure that everyone is working together and doing their part during the group assignments.

Learning Tasks:

1. Each week students will be given a discussion topic that includes an interactive learning object that they must discuss. The learning objects include rap videos,  powerpoint/flipcharts, khanacademy and pbs videos to guide instruction. Students will be asked specific instructions about these learning objects and how they can use them when completing assignments about linear functions. The initial post for each d iscussion must  be made by 11:50 pm on Wednesday night and students will then be required to respond to at least 2 other discussions by the end of the week. 2. Each week students will be given one individual assignment to complete. These assignments will be worksheets in which all work must be shown an d scanned in to turn in using the online dropbox feature. Students will be asked to turn this assignment in on Thursday of each week and an d it will be returned by Friday to make m ake any corrections for resubmission on Sunday by 11:59 pm. 3. A 10 question multiple choice assessment will be given at the end of each week to check for progress and any misconceptions that may be occurring. Students will be allowed 2 opportunities to complete this assignment if they were not happ y with their initial grade. After they complete it the first time they will be allowed to ask the instructor 3 questions for clarification before they proceed on their second and final attempt. All assessments are due on Sunday by 11:59 pm. 4. Groups will be created during the first week of the course and finalized by the instructor. During the next three week students will be given a group assignment with elements that will be due on a weekl y basis. After the weekly element has been tu rned in other groups will give feedback as well as the instructor and co rrections will be made to go towards the final product. On the last day of o f the course the final group project will be b e submitted for a group grade and a discussion board will be opened to evaluate ev aluate group participation during the project. Each comment will be made available for only the instructor to view. Instructors Role:

As this is a learner center course I will be present to facilitate and organize the online classroom environment. As the instructor I will:  

Provide constructive feedback within 48 hours of the assignment being turned in Provide a variety of ways to communicate commun icate (email, phone, discussion boards, chat, or conferences)



Provide a variety of ways to demonstrate demon strate learning



Set high expectations for all students and encourage them to meet those goals



Provide personal assistance with technical issues during online course

Learner’s Engagement:

As a student you will: 





 



Complete all assignments to the best of your ability and turn them in by the assigned deadline Respect peers during all discussions and group projects and complete work in a fair equitable manner Login to the online platform at least 4 days d ays a week to participate in class assignments and discussions Do your own work on individualized individualiz ed assignments  Notify the instructor for any emergency situations situations that may affect coursework or assignments being turned in on time. Complete discussions with one original post and at least 2 meaningful responses for each discussion

External Resources: https://www.youtube.com/watch?v=FmIhlc1bJuA (rap) https://www.youtube.com/watch?v=2BHzXItkByU (rap) https://www.khanacademy.org/search?page_search_query=slope (videos and lessons) http://www.kutasoftware.com/FreeWorksheets/PreAlgWorksheets/Graphing%20Lines%2 0in%20Slope-Intercept%20Form.pdf  http://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Slope%20From%20Two %20Points.pdf  http://www.regentsprep.org/regents/math/algebra/ac1/rate.htm http://www.d41.org/teachers/uploads/kkardas/Slope_Word_Problems_New.pdf  http://hooksmath.weebly.com/uploads/2/1/3/4/21347376/5.1_rate_of_change_and_slope.ppt http://www.slideshare.net/guestd1dc2e/writing-and-graphing-slope-intercept-form http://www.slideshare.net/leblance/23-and-24-lines Quality Feedback and Formative Assessment:

The students will receive feedback from the instructor on all discussion posts, individual assignments, and assessments, and well as each step of the group project. Feedback is guaranteed within a 48 hr time frame but will most likely be completed before then. Feedback on each formative assessment will be used as a tool or remediation and critique so that students can

correct any mistakes they may have made or clear up any an y misconceptions that exist. Feedback is tool to improve student work and will always promote positive encouraging words. Time Management:

Time management is very important and students will be required to login to the online platform at least 4 times a week in order to complete all assignments in a timely manner. 1. Discussions: initial posts are due Wednesday by 11:59 pm and all responses are due on Sunday by 11:59 pm 2. Individual Assignments: Due on Thursday by 11:59 pm to receive feedback for corrections which are due on Sunday by 11:59 pm 3. Assessments are due by Sunday at 11:59 pm. Students are given 2 opportunities and if they want to ask questions they must be asked by Sunday at 2 pm so that I have time to respond before they are due for final submission. 4. Group assignments are due each week by 11:59 pm and must be submitted by one group member. Dimensions of Flexibility:

 Multiple means of representation: this will be addressed through the use of slideshows, rap videos, video demonstrations, graphing models, and assignments at multiple ability levels.  Multiple means of expression: this will be addressed during the student’s group student’s group project. They will be able to decide how ho w they would like to present their final product wh ether it be a video, song, prezi, slideshow, graphing model. Students will also receive constructive feedback throughout the process using online discussion boards to ex press their opinion about other group’s presentations and how they can improve upon them.  Multiple means of engagement: This will be addressed through multiple types of assignments throughout the course. Students will participate in interactive discussion, individualized assignments, multimode assessments, and peer group interactive projects.

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