S+Shorey,Andrew+Francis

**Office: 225 (In the math office)** **Office Phone: 555-5767** **Office Hours: 3pm-4pm** ** E-mail: andrew.shoret@maine.edu **
 * Teacher: Mr. Shorey**

=Summary of Unit (summary on cover page)= //In this unit we will be studying geometry. Students will learn how to find the area and volume of different shapes. By being able to find the area and volume of different shapes students will be able to relate area and volume. They will also work with triangles finding angles and working with the Pythagorean theorem. They will start at the beginning of the unit with area and volume and work towards the triangles. Students will be completing a performance task where they are an architect trying to design a house for a person on the show __Hoarders__. Students will need to explain their reasoning for everything that they do on the house. Students will have certain requirements to fill but they will be creating a mybrainshark or glogster or something other form of presentation that is run by me about the house that they design.//

=Establish Goals= = Maine Learning Results: Mathematics-C. Geometry = Geometric Figures Grade 9-Diploma 1 Students justify statements about polygons and solve problems.

**Students will understand that** • all shapes have area and three dimensional shapes have volume. • when making triangle calculations students can estimate to guess and check. • you can use the Pythagorean Theorem in many ways.

**Essential Questions** • What is the difference between area and volume and how do you find area or volume? • Is there a difference between certain types of triangles and there side lengths and how can I tell them? • Why is the Pythagorean Theorem important and how can I use it?

= = =Students will know= • Formulas for: Area (for many shapes), Volume (for many shapes), the Pythagorean Theorem, and degrees of angles. • Terminology for: Shape names, congruence, scalene, obtuse, acute (triangles), right triangle • Definitions of theorems, triangles, shapes

= = =Students will be able to= • demonstrate they know how to use the Pythagorean Theorem. • make sense of triangles with congruence lines of them • use the Pythagorean Theorem to find the length of a missing side of a triangle. • compare and contrast area and volume. • relate the area's of shapes to the volume of three dimensional shapes. • recognize the different types of triangles

**Performance Task Overview** As a high ranking architect in your firm a family from the show hoarders has approached you and because they keep everything they need the house to be large and have a weird design. It is your job to create a house in which they will be comfortable living and that can hold all of their things inside the house or garage. These people are very interested in weird shapes and design so the crazier the better. However before they buy the house they would like to hear your pitch about the area in the house and specific spaces in the house. If you are not specific enough in your explanation they will not buy the house. You need to design a house using as many objects as you possibly can and using your knowledge of triangle, and area/volume. It is important to complete this task in a timely manner as there are other firms that have been approached about this same job!

=Expectations=
 * Absent/Late Policies**: Students are expected to be on time to every class and to show up to every class. However students will be excused from class with a doctors note or a note from a parent/guardian. Students will be expected to turn in work on the day after the class they missed. So if a student had homework that was due on tuesday and the next class was thursday if they miss the tuesday class then they will need to turn in their work on thursday. Students will be expected to make up all work from the class that they missed they may come see me or get it from a fellow student. If a student misses a day during a project he or she will still be expected to turn in the project on the due date. **Late work policy:** Students who turn in late work without an excused absence from me or their parents/guardians will lose points on their assignments. Students will be able to turn in work up to two days late and receive credit. After 1 day late you lose 20 points on a homework assignment after 2 days you will lose 40 points on a homework assignment. I will not except work that is more than two days late. For projects if it is one day late I will drop a letter grade, two days late two letter grades....etc.


 * Assignment Expectations**: Students will complete all work that is assigned. If you are asked to show your work while solving a mathematical problem you must show your work to receive full credit. However If I do not ask you to show your work you are allowed to just give an answer (i.e. solve an equation in your head) however I strongly suggest that you show your work so that I can give partial credit. I will also allow you to make up work and recieve full credit for homework. However the only way I will allow you to make up homework is if it is evident you put forth some effort on the first homework. I will also allow you to make up quizzes and tests and give you the better of the two scores.


 * Class Expectations**: Inside of the classroom I expect that as the student you will be respectful of others. If you are not respectful the first time will be a detention, the second time will be two detentions and the third time will be a trip to the office. I expect that you will come to class and pay attention and not distract others. I do not however require that you take notes if you feel that you learn better by just listening and getting notes later that is fine with me


 * Plagiarism policy:** When doing assignments I expect that you will not cheat and that all work that you hand in is your own. You also need to give credit for all sources on your assignments. If you are caught cheating it is an automatic zero. If you are caught plagiarizing it will be an automatic zero and you will be sent to the office.

=Benchmarks= • Glogster: Describe the different types of triangles and given a right triangle explain how to use the Pythagorean Theorem. Students will create a glogster which is an interactive poster where they will have to show how to use the Pythagorean Theorem and give examples of it through a step by step process. After looking at the poster it is expected that someone who knew nothing about the Pythagorean Theorem could explain it. **100 pts** • Blog: A journal entry explaining the relationship between area and volume. Throughout the quarter you will be expected to write journal entries on what you have learned in class. You will be given three prompts from me to write about. Journal entries need to be 4-8 sentences long explaining what you learned in your own words. The first journal entry will be explaining the relationship between area and volume. The second is explain the differences between the different types of triangles and how you can tell the difference. The third prompt will be explaining how to use the Pythagorean Theorem and to solve sides of right triangles and special right triangles. **100pts** • Wiki: Create a game about the different types of triangles and post the rules and what it is on the Class Wiki. After learning about the different types of triangles you will have to get together with a partner and create a type of game that you would like to share with the class you will make a simple game board you can even use an existing game board. However you need to write rules that will get students to better understand the different types of triangles. **100pts** • Podcast: about what area and volume are and explain how to find them for different shapes. Students will create a podcast using garage band where they will in some way tell us what area and volume are and how to find them for different shapes. Students can do an interview or a newscast or even create a song. They will work with partners and they will use garage band to do this. **100pts** • Smartboard: Have students do examples on the smartboard and post on the class wiki. Students will receive full credit for this if they come up on the smartboard by themselves and do a problem and but in their best effort. After doing this I will post the problems on the class wiki with my notes as to what they did right or wrong. If the students got things wrong then they will have to fix what they did for homework. **50pts** • Prezi: Using Prezi do examples of the Pythagorean Theorem and present it to the class. Using Prezi students will have to create a presentation where they give examples of the Pythagorean Theorem and explain how to use it. They will also be asked to go in depth how to solve simple special right triangle problems. This project requires that students will have some sort of musical piece in their presentation. To create their music they will use garageband and they will be working in partners. **100pts** - Test: Students will be required to take a test at the end of the unit. Their will be different sections on the test. Students will be asked to give formulas for area and volume, to use area and volume to solve for different shapes. The area/volume portion of the test will be worth 50pts. Students will be asked to recognize different types of triangles and to use a protractor to find different angles on the test. They will be asked to give side lengths using congruence as well as degrees of angles. The types of triangles portion of the test will be worth 50 pts. The final portion of the test will be using the Pythagorean Theorem. Students will be asked to find side length using the Pythagorean Theorem. They will also be asked to fill out side lengths for special right triangles. 50pts **150pts total** - Performance Task: The performance task will be for students to design a house thinking like they are an architect. They will have to include different shapes and solve their area's and find volumes of three dimensional shapes. They will have to include some triangles in their design of the house, the will also have to use the Pythagorean Theorem in the design somehow as well. Creativity is important for students in this task. Students will need to show all of their work and label everything that they do. Students will be working with glogster again to create this final project. **250pts** - Homework- Students will be given some homework during this unit which they will need to complete by the next class. The homework will be limited to no more than 20 problems. **50pts** =Grading Scale= = **A** (93 -100), **A-** (90 - 92), **B+** (87 - 89), **B** (83 - 86), **B-** (80 - 82), **C+**(77 - 79), **C** (73-76), = **C-** (70 - 72), **D+**(67 - 69), **D** (63 - 66), **D-** (60 - 62), **F** (0 - 59)
 * 1000 points**