S+Welch,+Leigh

**Office: 341 Ed Center** **Office Hours: 1pm-3pm Tues. Thurs.** ** E-mail: leigh.a.welch@maine.edu **
 * Teacher: Ms. Welch**

=Summary of Unit= Have you ever wanted to build something but didn't know where to start? This seems to be the make or break moments in creation for some individuals. If only they had paid better attention in Geometry. In this unit we will be exploring some fundamentals of Geometry and looking at a few elements that will help you if you are stuck with you construction and don't know where you're going next. In this unit students will learn about lines, angles and triangles, how they are fundamental to Geometry, how they work together and where they occur in the real world. Throughout this unit students will be building upon their knowledge on these topics and their application. For the Performance Task at the end of the unit students will create their own blueprints (can be with a partner), and from that they will construction their own design. The goal of this unit is to show students that Geometry is all around us, so we might as well learn a little about it!

=Establish Goals= Common Core State Standard Content Area: Geometry Grade Level: High School Domain: Congruence Cluster: Prove Geometric Theorems Standard: 9. Prove theorems about lines and angles. 10. Prove theorems about triangles.

= = =Students will understand that= • Lines, angles and triangles all have relationships and dependencies upon each other. • Angles, lines and triangles are elements in problems that occur in real life. • Triangles, lines and angles are foundations in Geometry.

= = =Essential Questions= • How do angles, triangles and lines relate to and depend upon each other? • How do triangles, lines and angles help to solve problems that occur in real life? • What are some of the reason why triangles, angles and lines are fundamental to Geometry?

= = =Students will know= • Definitions- angles, triangles, lines • Formulas- Pythagorean Theorem (right triangles) (a^2+b^2=c^2) Slope (y2-y1/x2-x1), Standard Linear Format y=mx+b (m=slope, b=y-intercept) • Key Factual Information- Properties of lines (equal 180 degrees, has a slope, etc),Properties of triangles (equal 180 degrees, three sides, three angles, etc), Properties of angles (a circle has 360 degrees, angles between two lines, etc), SohCahToa (for triangles) (Sine-opposite, hypotenuse, Cosine-adjacent, hypotenuse, Tangent-opposite, adjacent)

= = =Students will be able to= • Show the relationships between angles, triangles and lines. • Illustrate a real life problem where you need to use angles, triangles and lines. • Use the definitions of lines, triangles, and angles to solve problems. • Compare and contrast the properties of angles, lines and triangles. • Assume the role of a person who uses lines, angles and triangles in their everyday life. • Realize that lines, angles and triangles are parts of other shapes.

**Performance Task Overview** One of the bridges leaving Smalltown Maine collapsed a week ago and the Mayor has been looking for an architect to create a new one. You are an architect and you really want this job, not just because you will be paid a lot, but because if your design is chosen you get to name the bridge anything you want. Naturally, you are not the only architect in Smalltown Maine and others want the job too. The only problem is you have to get your design approved by the city counsel. The counsel decided that the only fair was to choose a design was to have a contest to see who's bridge would be more structurally sound (so not to repeat the problems with the last bridge). The contestants need to create a design, bring it to the counsel for approval and then build a miniature with which they will prove their design can support weight. The miniature that supports the most weight wins. The architect(s) that designed and built the winning miniature get the job and get to name the bridge anything he/she/they want.

=Expectations= **Attendance-** Students are expected to attend class. Students are also responsible for any work that they miss in that class and any homework assigned during that missed class period. I will be willing and available to help before and after school if needed, but the student has to take the initiative. Students should come to my classroom and get the assignments in the absent folder that is in my room. They should also go to the class wiki where the class notes are provided. **Assignments-** Students are responsible for assignments to be completely attempted by the due date that is designated. If more time is needed students should talk to the teacher about and bring forth a sufficient reason as to why they need this extension. If work is late students should come n before and after school for as many days as needed to get the work done. **Classroom Expectations-** Students will be expected to follow the classroom rules which include showing respect to peers, yourself, property (weather it be your own, or another persons). Students are also expected to follow school rules, coming to class prepared and being appropriate in class.

=Benchmarks= **Instructables-** Students will be writing down the process in which they use to show the audience how to construct a triangle using lines and angles.They will also measure the lines and angles using a ruler and protractor. They will map out each step and them take that information and put it into an Instructable. An instructable is an online step-by-step instruction manual. In this the students can include their own instructions and pictures to enhance their steps. These steps can include the actual steps they used in the problem (using the numbers in the problem), or it could be in general terms. (25 points)

**Glogster-** Students will be focusing on the Pythagorean Theorem in this lesson and they will be looking at real life examples of this theorem. We will be going outside to collect data and calculating either the hypotenuse or the missing side length. Students will be using Glogster, which is an online "poster", and they will give real life examples of places where this theorem occurs or would be useful to know and use. (25 points)

**Quizlet-** Students will be learning the definitions and a few properties that go with lines and angles. During this students will be taking notes and contemplating what they think believe is more important than other information and create a Quizlet. A Quizlet is an online quiz that you can create. By using this tool students will be taking the answers and forming questions form them. This will help students to better understand the concepts because they will have to think of compelling questions that will use the information they have learned. (25 points)

**Mind Mapping-** Students will be comparing and contrasting the properties and definitions of lines, angles and triangles. They will be given a Venn Diagram to sort their thought and the information provided. From this graphic organizer students will use a Mind Mapping tool called Mind Miester to display their thoughts and ideas on how the topics in their graphic organizer work together to create key concepts in Geometry. Students should add pictures, video, audio, anything they want that will enhance the presentation. (25 points)

**Fakebook-** By now students will have learned a great deal about lines, angles, triangles and their implications in the real world. Now it is time that students get creative and show me that they have learned what the material is and that it can not only be found in the real world, but also created, in the form of a person. students will be given the task of creating a person who uses lines, angles, triangles or any combination of the three in their everyday life. They will then create a Fakebook page for this character. They will include a biography, tell stories on this characters wall, add music if wanted, add pictures, be creative! Students are also encouraged to think outside the box, it does not matter if this is a real job, if the student can explain how this person uses lines, angles, triangles or any combination of the three in their everyday life then it will be great. (25 points)


 * Google Sketch Up-** Students will be creating a shape that is constructed of lines, angles and triangles. Their shapes will all be ones that are not commonly seen and that is perfectly acceptable, in fact, that is preferred. Students will be designing their own shape and then bringing it to life through Goolge Sketch Up. Using this tool students will highlight the aspects that are essential (lines, angles and triangles). We will share these in class and discuss how using more than one angle, triangle and line affects the shape.


 * Google Sketch Up/Build-** See Performance Task above. (50 points)

**Homework and out of class assignments-** 10 points

**In Class Work/Participation-** 15 points

**Attendance-** 5 points

=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).