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# Mathematics In The Real World

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### Mathematics In The Real World

1. 1. Mathematics in the Real World Randy Chilcoat EDAM 5039 Mr. Hilt
2. 2. Purpose
3. 3. <ul><li>My capstone project deals with incorporating real world experiences into mathematics. </li></ul><ul><li>I choose to create a web quest dealing with the process of purchasing a home. </li></ul><ul><li>The web quest will act as a review for a marking period test. </li></ul>
4. 4. <ul><li>The students will conduct research behind closing costs, interest rates, types of mortgages, and areas to purchase homes. </li></ul><ul><li>Students will also become familiar with how much money their career they choose will pay them. </li></ul>
5. 5. <ul><li>The students will have the choice of four options for their final product to demonstrate their knowledge gained to the class. </li></ul><ul><li>The students will be better engaged into the learning because it will be authentic. </li></ul>
6. 6. Objectives
7. 7. Student-Centered <ul><li>The students will have the freedom to choose their own career. </li></ul><ul><li>The students will be able to choose their own home they want to purchase. </li></ul><ul><li>The students will have options to their final presentation. </li></ul>
8. 8. Student-Learning <ul><li>The students will be learning about the processes required to actually purchase their own home. </li></ul><ul><li>The students will be conducting the necessary steps to determine their interest paid on their home and the amount of money they will be spending over the length of their mortgage. </li></ul>
9. 9. Using Information <ul><li>The students will be using the information they gather about how much they can purchase a home for in efforts to find a home they can afford. </li></ul><ul><li>The students will also be using the information about closing costs and interest rates to make calculations. </li></ul>
10. 10. Teacher Facilitator <ul><li>Students have never encountered the facts about purchasing a home. I have just purchased my first home in October and feel as though I am not an expert, but I can provide good information on the process. </li></ul><ul><li>I will need to help guide the students on their selections and their use of technology. </li></ul>
11. 11. Multiple Instructional and  Learning Modalities  <ul><li>Each student selects their job and their home. </li></ul><ul><li>Each student will also have their choice of how they present their project. </li></ul>
12. 12. Higher Order Thinking Skills <ul><li>The students will be required to determine which types of loans are better, why it is better to purchase a home, and various other questions that will require higher order thinking skills. </li></ul><ul><li>The students will need to use their research and calculations to justify and analyze particular matters involved with purchasing a home. </li></ul>
13. 13. Collaboration <ul><li>The students will collaborate to share ideas and help with the use of technology. </li></ul><ul><li>The students will bounce ideas off one another to hopefully produce better projects in the end. </li></ul>
14. 14. Performance Based Assessments <ul><li>The students can choose from writing a paper, presenting, designing a web page, or interviewing a mortgage loan officer. </li></ul><ul><li>The students will also need to submit all their research and questions they answer throughout the web quest. </li></ul>
15. 15. Multiple Sources of Information Including Technology <ul><li>The students will need to be using their laptops throughout the project. </li></ul><ul><li>The students will be on websites and using Microsoft Office to complete their project. </li></ul>
16. 16. Technology Integration <ul><li>The students will be using technology throughout the project and will need to have knowledge on how to use the technology. </li></ul><ul><li>The students will need to be familiar with Microsoft Office and the Internet. </li></ul>
17. 17. Addressing All Learning Styles <ul><li>Students will be taking a learning style inventory to figure out what project best suites them. </li></ul><ul><li>The final projects address all the learning styles. </li></ul>
18. 18. Using a Variety of Information to Complete this Authentic Project <ul><li>The students will be using loan calculators, how much home can they afford calculators, real estate websites, and career websites. </li></ul><ul><li>The students have a lot they can explore throughout this project. </li></ul>
19. 19. Time Frame
20. 20. 10 weeks in length <ul><li>Week 1: Teach chapter one about equations and inequalities. </li></ul><ul><li>Week 2: Finish chapter one and test on the chapter </li></ul><ul><li>Week 3: Teach chapter two about linear relations and functions. </li></ul>
21. 21. <ul><li>Week 4: Finish chapter two and test on chapter two. </li></ul><ul><li>Week 5: Teach chapter three about systems of equations and inequalities. </li></ul><ul><li>Week 6: Finish chapter three and test on chapter three. </li></ul>
22. 22. <ul><li>Week 7: Teach chapter four about matrices. </li></ul><ul><li>Week 8: Finish chapter four and test on chapter four. </li></ul><ul><li>Week 9: Implement the web quest on home purchasing. </li></ul>
23. 23. <ul><li>Week 10: Projects will be presented to the class. The marking period test in which the web quest reviewed the marking period material will be administered. </li></ul><ul><li>The emphasis is on the web quest, however the weeks teaching the material are necessary so the students can complete the web quest. </li></ul>
24. 24. Project Components
25. 25. Inquiry <ul><li>I will allow my students the opportunity to become home owners. </li></ul><ul><li>They will need to figure out the proper way to efficiently purchasing a home. </li></ul><ul><li>They will be able to calculate and determine which mortgage they can afford with the job they choose. </li></ul>
26. 26. Projects <ul><li>The students will have their choice to be creative through writing a paper, designing a website, preparing a presentation, or interviewing a mortgage loan officer. </li></ul><ul><li>Each student will then need to present their project to the class. </li></ul>
27. 27. Technology <ul><li>Students will use the Internet, Excel, PowerPoint, Movie Maker, Word, and any other technology the students see fit for their project. </li></ul><ul><li>The students will have freedom with the technology they need to accomplish their assigned tasks. </li></ul>
28. 28. Dynamic/Flexible Grouping <ul><li>The students will be able to work with their own groups to bounce ideas off for their projects. </li></ul><ul><li>The students will help one another through out this project, however they must turn in their own project. </li></ul>
29. 29. Authentic Teaching and Learning Experiences <ul><li>The students will learn the steps to purchase a home. </li></ul><ul><li>The students will learn how mortgages work and why one is better than another. </li></ul><ul><li>The students will learn about closing costs. </li></ul><ul><li>The students will learn how much their career will earn them yearly. </li></ul><ul><li>The students will determine how much of a home they can afford based upon their annual salary. </li></ul><ul><li>The students will have the opportunity to interview a professional pertaining to the web quest. </li></ul>
30. 30. Rubric
31. 31. Home Purchasing Web Quest Rubric
32. 32. Standards <ul><li>2.1.11.A Use operations </li></ul><ul><li>2.2.11.A Develop and use computation concepts, operations and procedures with real numbers in problem-solving situations. </li></ul><ul><li>2.2.11.C Construct and apply mathematical models, including lines and curves of best fit, to estimate values of related quantities. </li></ul><ul><li>2.2.11.F Demonstrate skills for using computer spreadsheets and scientific and graphing calculators. </li></ul><ul><li>2.8.11.D Formulate expressions, equations, inequalities, systems of equations, systems of inequalities and matrices to model routine and non-routine problem situations. </li></ul><ul><li>2.8.11.I Use matrices to organize and manipulate data, including matrix addition, subtraction, multiplication and scalar multiplication. </li></ul>
33. 33. Targets Students Will Include <ul><li>Job Obtained </li></ul><ul><li>Estimated Income </li></ul><ul><li>How Much House Can the Student Afford </li></ul><ul><li>Location of Home </li></ul><ul><li>Purchase Price of Home </li></ul><ul><li>Analysis of Purchase </li></ul><ul><li>Monthly Mortgage Rate </li></ul><ul><li>Interest Rates Available </li></ul><ul><li>Break Down of Monthly Payment (matrix) </li></ul><ul><li>Additional Necessities to Purchase/Maintain Home </li></ul>
34. 34. Resources
35. 35. Teacher <ul><li>Introduce material on chapters one through four. </li></ul><ul><li>Present basic information on technology the students can use. </li></ul><ul><li>Facilitate during the web quest to aid students throughout their project. </li></ul>
36. 36. Students <ul><li>Access to computers for Internet, Microsoft Office and other technology they see sit to use. </li></ul><ul><li>Time to work on final projects in class. </li></ul><ul><li>Web sites that deal with mortgages and loan calculators. </li></ul>
37. 37. Learning Style Inventory <ul><li>This is designed to help the students choose their final project. </li></ul>
38. 38. Desired Outcomes
39. 39. <ul><li>I hope to get my students engaged into mathematics so they can see the connection of how mathematics is used in the real world. </li></ul><ul><li>I hope to educate my students on the process of purchasing a home. This is something that is overlooked, but very important to have in life. </li></ul>
40. 40. <ul><li>I hope the students can make the connection that home owning is better than renting a home. </li></ul><ul><li>I also hope the students see the amount of interest they will pay over their mortgage and it is better to pay extra on your mortgage if possible. </li></ul>
41. 41. Permissions <ul><li>All pictures were taken from clip art from Microsoft Office PowerPoint. </li></ul>