S+Mitchell,+Jasmine

**Office: Room 7, Blue section** **Office Phone: xxx - xxx - xxxx** **Office Hours: TuTh 12-2 MWF 1-3** ** E-mail: jasmine.mitchell@maine.edu **
 * Teacher: Ms. Jasmine Mitchell**

=Summary of Unit= Welcome to 7th grade geometry! The common core state standards states that after this class, we must be able to draw, construct and demonstrate understanding involving geometric shapes and describing the relationships between them. We will attack this by splitting the unit into three sections. First, we will discuss different types of angles. This includes acute, obtuse, supplementary, complimentary, vertical, and adjacent. Once we are able to identify the different types, we will learn to solve for each type of angle. The next topic will involve two dimensional figures. Our main focus will be circles. We will learn the formulas for circumference and area of a circle. We will then relate two dimensional figures to the real world, and it will lead us into the study of three-dimensional figures. Three-dimensional figures will include drawing and constructing individual figures as well as recognizing which figure one is when faced with it. After we are able to identify them, we will begin solving for information about them. The solutions we will look to solve include surface area and volume. In order to solve for these, you will need to be aware of what information is needed to solve for each of them. To sum up the unit, we will discuss how everything ties together and is relate-able to the real world. We will discuss how to solve for surface area and volume in real life situations and understand why it is important to the real world. We will explain why it is important for us to learn about all of these aspects and how they can be used in future careers.

=Establish Goals= Common Core State Standards Content Area: Math Grade Level: 7 Domain: Geometry Standard: draw, construct and describe geometrical figures and describe relationships between them.

=Students will understand that= •unknown angles can be solved using given angles following guidelines of supplementary, complimentary, vertical, and adjacent angles. •the area and circumference of a circle are solved using formulas, are related, and are related to three dimensional geometric figures. •volume and surface area of 2 and 3 dimensional objects (triangles, prisms, cubes) are solved using formulas when given the appropriate data about the figure. These formulas can be applicable to real world and mathematical situations.

=Essential Questions= •Why do supplementary, complimentary, vertical, and adjacent angles lead to the solution of unknown angles? •How are area and circumference solved for, and how are they related? •What information is needed to solve for various volume/ surface area of 2 and 3 dimensional figures?

=Students will know=

•Vocab: supplementary, complimentary, vertical, adjacent angles, obtuse, acute, vertex •Terminology: area, surface area, volume, geometric figure, construct the figure, solve for the unknown •Formulas: area of circle, triangle, surface area of: cube, rectangular prism, sphere cylinder, pyramid, circumference of circle, volume of: sphere, cube, cylinder, cone = = =Students will be able to=

•demonstrate understanding of circles relate to 3 dimensional figures. •evaluate the area and circumference of a circle when given the radius. •solve for unknown angles when given the proper corresponding angle. •recognize which formulas are needed to solve for volume/ surface area for various 2/3 dimensional figures. •relate volume/surface area to real world situations. •be aware of when guidelines to follow to solve for an unknown angle.

**Performance Task Overview**

Extreme makeover home edition is currently taking on a big task of helping several families replace their homes due to natural disasters. They are looking for a partnership to join their team to help them with this project. They have set up a contest in which they are looking for experienced home designers. Considering that you and your partner have been struggling with your design business lately, you are eager to submit an entry to the contest. Your job is to choose a room in a home and use Google Sketchup to design it, with your knowledge of angles in mind. You will then use your interior design skills to go furniture shopping online to furnish your room with your knowledge of surface area/ volume in mind. You will compile your design, shopping list, formulas/ solutions and information about your team into a wiki page and submit the compilation to the makeover team. The home makeover team will review all entries and select a partnership to join their team to help a lot of struggling families. Good Luck!

=Expectations= Everyone in this class will respect each individual and that individual's work. It is not appropriate to put others down or to use disrespectful language in this class. Furthermore, you are almost adults, and I will treat you as such provided you respect others and this class. Disruption and misbehavior affect the entire class, and inhibit other students from learning and the teacher from teaching.
 * Classroom Expectations:**

I expect that you come to class on time every day, prepared to work. Being prepared to work means having all of your materials as well as being present. Participation is a part of your grade, so please come to class, and talk to me if you could not attend so we can arrange make-up work. Late work may be accepted if you come to talk to me and we work out a plan. There will be a class wiki in which every student will have access. Lessons, notes, homework assignments and helpful videos will all be posted. If absent, you are expected to use this tool to keep up to the best of your ability.
 * Attendance:**

Academic Integrity is important and needs to be honored. Plagiarism will not be tolerated in the classroom. Please refrain from copying and pasting directly from the internet, or using the exact phrase from a book. If you do so, cite your sources. If it is obvious that you have plagiarized, repercussions will be in order. I will be checking for plagiarism throughout the semester, so if you use a website, make sure to give credit to the sources that you use! Improper citing of sources will be excused but will asked to be corrected.
 * Plagiarism:**

=Benchmarks:= Below is a list of assignments that you will asked to complete throughout our unit on geometric figures. Each benchmark has been assigned a point value. Your grade will be determined from a percentage of points earned out of **1000 points**.

• **Diagram** (100 points) : Students will create an inspiration diagram displaying all different guidelines for solving angles and explain how to tell the difference between when to use each one. This will include supplementary, complimentary, vertical, adjacent, acute, and obtuse angles. All angles will be represented in the diagram. You will be expected to define what classifies an angle as far as the angle measurement. Also, include how you can tell by looking at the angle what type it is. After realizing what the angle is, how can you tell what else you can solve for? All of these concepts must be included as well as a picture of each type with an angle measurement. This project will be graded using a checklist.

• **Comic Life**(100 points) : Students will create a comic life that demonstrates an understanding of assessing unknown angles that appear in real life situations. The comic life will be creatively designed including definition of the angle you have chosen, an unknown angle presented, as well as a solution. The comic life must also include images of the real life example and solutions to formulas. You must provide sources for someone who is looking to delve deeper into this topic, as well as the sources that you personally used. This project will be graded using a checklist.

• **Audio Recording** (100 points) : Students will create a mnemonic device to remember the formulas of the circle. These include the circumference and area of a circle. The device can be either a rap, a poem, or just a rhyme. You should do some research of what others have come up with, but you will have to come up with your own original one. You will be working with a partner. Please be creative. It must be accurate according to the formulas we learned in class. This project will be graded using a rubric.

• **Glogster**(100 points): Students will explore one of the three 3-dimensional shapes that we discussed in class that appears in real life. The shape can be related to any topic of the students' choice, but must include either cones, cylinders, or spheres. You will be expected to present a situation in which you need to solve for either the surface area or volume. You must express why that would be helpful to solve for, and how it is relevant to real life. You may do one object, or more than one in your project. Regardless, you must include images, formulas, and solutions in the glogster. Also, there must be resources where someone could find information both on the mathematical concepts as well as the topic/topics you have chosen. Any media or fun facts about your topic/topics should also be included. This project will be graded using a checklist.

• **Interactive Game** (100 points) : Students will be put in groups of 4. They will create a game including questions and examples involving various volume/ surface area formulas for 3 dimensional figures. The game could be anything you can create. It can be a variation of a game that already exists such as monopoly, sorry, cranium, jeopardy, a card game, or you can make up your own completely. It is up to you and your team. Your questions must include formulas, examples, drawings, and solving for unknowns. This project will be assessed using a checklist.

• **Prezi** (100 points) : Students will choose a topic that interests them. This could include anything from sports to their favorite tv show, to shopping. Your job is to take a topic and relate it to volume or surface area. You will make an actual example and find either the volume or surface area of an object related to the topic you choose. You will create a prezi which creatively demonstrates your topic, images, your formulas, and your object. This project will be graded using a rubric.

• **Performance Task** (200 points) Extreme makeover home edition is currently taking on a big task of helping several families replace their homes due to natural disasters. They are looking for a partnership to join their team to help them with this project. They have set up a contest in which they are looking for experienced home designers. Considering that you and your partner have been struggling with your design business lately, you are eager to submit an entry to the contest. Your job is to choose a room in a home and use Google Sketchup to design it, with your knowledge of angles in mind. You will then use your interior design skills to go furniture shopping online to furnish your room with your knowledge of surface area/ volume in mind. You will compile your design, shopping list, formulas/ solutions and information about your team into a wiki page and submit the compilation to the makeover team. The home makeover team will review all entries and select a partnership to join their team to help a lot of struggling families. Good Luck!

• **Participation** (100 points) Participation is required for this unit. Students must participate in class activities, and come to class prepared to work each day. Homework is also graded on a participation basis. If there are specific reasons that you cannot participate in a certain activity, let me know and we will work together to find an appropriate alternative. Please try to participate in class and in the homework, it will help us all learn better and have more fun! Participation also includes homework. All homework must be done and will be graded based on participation rather than accuracy. If you do not complete the homework, you will not receive the entire participation grade, so please try to keep up with the homework.

• **Test** (100 points): There will be a cumulative test at the end of the unit which ties everything we have learned about geometric figures together.

=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)