S+O'Halloran,Erin+Marissa

**Office: Ed Center 006** **Office Phone: 555-1234** **Office Hours: Friday 1:30-2:30** ** E-mail: mso@awesometeachers.edu **
 * eacher: Ms. O'Halloran**

=Summary of Unit= Welcome to Geometry! In this unit, students will explore all the elements of polygons. Students will learn to use properties of specific polygons such as rectangles, circles, squares, parallelograms, and triangles to solve problems. Some properties are congruence, similarities, and alternate interior angles. Using formulas such as Pythagorean Theorem and distance formula, students will compute volumes and areas. Measurements and units are essential when learning about areas and volumes, and students will learn briefly about conversions. Transformations such as dilation, reflection, translation, and rotation will be introduced into the curriculum. Once the material has been covered, students will present problems, assigned by the teacher, to the rest of the class. These problems will vary; they will have to determine distances, compute areas, compute volumes, and perform transformations. Students will have to describe how they solved the problems by explaining each step in great detail. Using the mathematical program, Geogebra, students will create shapes from the points provided in the template and will need to determine its properties. Once all the problems are completed, students will need to present the problems to the class and will make a slide show using Prezi.com. Students will be graded on not only the presentation, but the Prezi site slide show file to see if the student used the technology in a Type II way.

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

= = =Students will understand that= • problems could be solved using geometric properties. • computing areas and volumes is based on the object's properties and dimensions. • measurements are based on size and shape.

= = =Essential Questions= • How would geometric properties solve problems? • How would you perform a transformation on a geometric figure? • Why is it important to know how to compute areas and volumes based on properties and dimensions?

= = =Students will know= • Formulas: distance formula, Pythagorean theorem, sum of the angles in an n-sided polygon, areas, volumes, surface area, 45-45-90 triangles, 30-60-90 triangles

• Definitions: right triangle, triangle, square, rectangle, parallelogram, trapezoid, circle, rhombus, cube, regular prism, irregular prism, cylinder, pyramid, cone, sphere, translation, reflection, rotation, dilation, glide reflection, congruent sides, congruent angles, right angles. perpendicular sides, and parallel sides

• Critical details: using dimension, area, volume, and transformations to solve problems

= = =Students will be able to= • describe the functions of right angles in everyday life.. • illustrate shapes based on lengths and angles. • perform Pythagorean theorem on right triangles. • analyze the Pythagorean theorem and how it can be used to solve area problems. • imagine what a shape would look like after a transformation. • recognize measurements of objects and their names.

**Performance Task Overview** You are a map maker for Action Maps aboard the pirate ship "Poseidon's Pearl." The captain, Mad Dog, need you to plan out the excursions. You will be given maps, (some may be blank and some may be partially complete) and directions. You will need to determine which shapes are made, and you will need to know the properties of that shape. Once you have determined all the calculations, use a program to create the finished routes (something like Paint or Geogebra). Once yo have created the finished maps, make a presentation for Mad Dog and the crew to explain each map. Use Prezi.com to create the slide show. Get creative. Use graphics/sounds/etc. to impress the captain so you don't walk the plank!

=Expectations=
 * Absent/Late Policy**: If students are late to class, it is there job to catch up with the class and to retrieve the notes they have missed. Students who have missed considerable amount of classes will have to contact the teacher through email or after class to make an appointment with the teacher. Handouts that are passed out in classes will have copies put in a handout folder that is located in the class. Students are responsible to check to see if there are any handouts passed out in the class they missed. These handouts consist of worksheets, organizers, articles, and assignment descriptions. If any extenuating circumstances come up and the student is not able to make it to class or finish an assignment, that student needs to contact the teacher through email or calling the school as soon as possible. Once the circumstance is resolved, the student will meet with the teacher by appointment and they will discuss what actions need to take place.


 * Assignment Expectations**: All assignments such as worksheets or homework need to be done by the student individually. There will be homework assigned according to the text and students are expected to do all the questions assigned, however, they will not be graded on the correct answers. Students will be graded (0-2) on whether the homework is complete, almost complete, or not done. The teacher will walk around the room and students will show their homework or worksheets. Assessments will be graded differently using checklists or rubrics. Certain homework assignments can be redone and the teacher will let the students know after checking the assignment whether it can be redone. Other than that, homework, worksheets, and other forms of students work need to be handed in on time or they will receive no credit. If a student knows ahead of time that they will be missing an assignment or homework problems, they need to follow the Absent/Late Policy and contact the teacher as soon as possible.


 * Class Expectations**: Students need to come to class prepared to learn. Materials they need to bring with them to class everyday are: a notebook, pencils/pens, assigned text, and a calculator (optional). Students need to come to class with their homework and other assignments completed before class starts. Bringing a positive attitude to class is essential to the learning process. Students also need to be prepared to share their ideas aloud to the class and participate a lot. Ask questions!


 * Plagiarism Policy**: Plagiarism and/or copying issues of other students' work or outside sources will not be tolerated and nonnegotiable. Result of blatantly plagiarizing will be a zero on the assignment. Depending on the severity of the plagiarism, students may or may not be able to redo the project or assignment. If the student is unsure if they have caused copyright infringement, the best way to find out is asking the teacher.

=Benchmarks= Students will create a Glogster web page about shapes and their properties. This is meant to get the students' creative juices flowing. Individually, students will create a web page on Glogster defining the polygons mentioned during the lesson and all of its properties. Throughout the lesson, polygons and their properties will be mentioned and discussed. Students will have to determine which 5 polygons they want to display on the Glogster page. Use all the features Glogster offers to make the website memorable. Students will need to include all of the properties of the polygons they choose to represent. All the links of the Glogsters will be added to the class wiki so students can be displayed. This assignment is worth 10% of the student's final grade.
 * • Polygon Glogster**

Using a pre-made template, students will play a game on a Smart Board where they will match names to shapes, properties to polygons, and lengths to the correct segment with that magnitude. This is an activity meant for in class as a review. A pre-made template will be provided on a SmartBoard and students will have turns answering questions about certain shapes and its properties. The way the students can prepare for this is to study like this is an exam. Desks will be cleared and no help with be provided by the other students in the class. Students will be graded on how the teacher feels the student knows the material based on a 1-5 scale. This assignment is worth 10% of the student's final grade.
 * •Smart Board Exercise**

Students will use iMovie to show the congruence and similarity between polygons. They will need to create a infomercial describing the benefits of knowing congruence and similarities in polygons. The students will need to describe what congruence is and what similarities are so the audience has the main ideas of the two topics. The criteria for this project includes how much congruence and similarity will cost and a clever sales pitch. Students will work in groups of three. All three students should participate in the project equally and they will have to provide a reflection/review of the final product. The project will be graded out of 100 points and will be worth 10% of the student's final grade
 * • Infomercial for Congruence and Similarity**

Students will use Sketchup to show where right angles are using in buildings. This is an individual assignment, students are not to pair up or be in groups. First, each student will think of three famous structures and figure out approximately how many right angles are in the design. Use pictures or schematics to determine where there are right angles in the design. Write a paragraph for each building/house/sculpture describing the figure, how many right angles are in the figure, and how right angles are important to that figure. Then design your own structure/house/sculpture and indicate how many right angles were used (HINT: there are three dimensions in Sketchup). Students will use the features of Sketchup to make the figure more authentic. It is not permissible to simply download images from the Google download warehouse and describe where the right angles are. Students can use images to enhance the main project, but for this part of the assessment, students will receive no credit if they download an image and pass it as their own. Students will print out the paragraphs and hand them in in class and the Google Sketchup files will be emailed to the teacher. This assessment is worth 10% of the student's final grade.
 * • Right Angles in Life**

• **Phythag Rap** Students will create a podcast rap about Pythagorean Theorem using Garage Band. Students need to include some aspect of Pythagoras' life in with the rap. For example, they can talk about what time period he lived in, when he discovered the famous theorem, where he lived, etc. Using Garage Band, or any other form of recording software, students will have to create a rap or some other type of musical piece. The more creative the student is with the effects in their song, the better. Students have a choice to work together in assigned groups or alone. This project is a presentation in front of the class. The rap with all its components: originality, facts, participation of group members, etc. will be 10% of the student's final grade.

Using Geogebra, students will show shapes before and after transformations. This is an individual assignment, students are not to pair up or be in groups. Students will be given a hand out with polygons and transformations. The task is to perform the correct transformation on the object and display it on Geogebra using check boxes. Create a check box for the original polygon and a check box for the answer. Students will not be allowed to perform the transformations using the translation, rotation, reflection, dilation tools in Geogebra. In class, we will discuss ways to create the transformations with other tools in Geogebra. Once the transformations are complete, students will email the file to the teacher by a certain point on the due date. This assessment is worth 10% of the student's final grade.
 * • Transformation Animation**

=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).