L6+Shorey,Andrew+Francis


 * UNIVERSITY OF MAINE AT FARMINGTON**
 * COLLEGE OF EDUCATION, HEALTH AND REHABILITATION**
 * LESSON PLAN FORMAT**

**Teacher’s Name: Mr. Shorey** **Date of Lesson: Lesson 6** **Grade Level: 10** **Topic: Geometry**

**Objectives** **Students will know how to solve right triangle problems.**

**Maine Learning Results Alignment** Maine Learning Results: Mathematics-C. Geometry Geometric Figures Grade 9-Diploma 1 Students justify statements about polygons and solve problems **Rationale: Students will be working with polygons and solving for area and volume, as well as using the Pythagorean theorem.**

**Assessment** **Formative (Assessment for Learning)** I will be checking for understanding throughout the unit. I will be giving quizzes and checklists and things of that nature as well as having students do examples for me. They will also be walking me through examples and working on homework problems on their own. This lesson is really just their final project so their won't be a lot of formative assessment, really it will just be what we have done throughout the unit.

**Summative (Assessment of Learning)** 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. It is very important that you are creative, you can use the same shapes it you want however don't use them to often or else your clients will be bored with the house you design. 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, using your knowledge of triangles, area and 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!

**Integration** Students will be using type two technology, they will have to show what they have learned using some sort of presentation tool. They will be working with either glogster or mybrainshark. I have given students a sample of what I want them to do.

**__Groupings__** Students will be i partners when working on their Webquest. It should allow students to get more work done and have the projects be better and more creative and more in depth.

**Differentiated Instruction** **Strategies** Verbal/Linguistic-Students will be able to talk to each other while working on their project because they are working with partners. They will also be able to explain what they have done during their presentations. Mathematical/Logical- The projects process is basically step by step what students need to do so it will be easy for these students to look at what they need to do and complete their task. Visual/Spatial- When students are doing their project they will have to draw out what they want their house to look like so that will help these students. Bodily/Kinesthetic- By having students come to the front of the class and present their project it will allow these students to move around while they are talking and presenting. Musical/Rhythmic- Students have the freedom to present their projects really in anyway. So these students would be able to sing what they have done or include a song in their presentation. Intrapersonal- Students will have to do some work on their own to do their final reflection so this will allow these students to be by themselves where thy may do their best thinking. Interpersonal-Students will be working with their partners to create their projects so this will allow them to get different ideas and space out the work. Naturalist-

**Modifications/Accommodations** Absent: If a student is absent during this lesson I will have students come in and work with me one on one during a time that we are both available to meet. They will still have to do all the work but they might get an extra day to finish it if it is an excused absence. Students will still have to complete work if it is an unexcused absence however they will just lose points on the final grade. **//I will review student’s IEP, 504 or ELLIDEP and make appropriate modifications and accommodations.//**

**Extensions:** **English: students will have to use their english skills to present what they have created to the class.** **Technology: Students will be working with technology to create their presentation.**

**Materials, Resources and Technology** Laptop, Textbook, Teacher textbook, Paper pencil

**__Source for Lesson Plan and Research__**

[|http://www.buzzle.com/articles/how-to-calculate-volume.html] [|http://www.mathsisfun.com/area-calculation-tool.html]

Congruence with triangles [|http://www.analyzemath.com/Geometry/congruent_triangles.html]

[|http://www.cliffsnotes.com/study_guide/Congruent-Triangles.topicArticleId-18851,articleId-18788.html]

Pythagorean Theorem [|http://www.mathwarehouse.com/geometry/triangles/right-triangle.html]

**Maine Standards for Initial Teacher Certification and Rationale**

**//Standard 3 - Demonstrates a knowledge of the diverse ways in which students learn and develop by providing learning opportunities that support their intellectual, physical, emotional, social, and cultural development.//** **Rationale: Students will be learning in many different ways and will be comfortable in how they learn they will have the oppurtunity to learn in a way that suits them.**

**Beach Ball: Students will be able to choose how they present their house and will have many resources when it comes to the actual information. They will have a lot of freedom during their project time.**

**Clipboard: The way the project is setup students will have the rubrics while they are doing the project and this will allow for students to know exactly what they need to do to get a good grade. They will also have the process of what they need to do laid out in front of them which will allow them to know exactly what to do for the project.**

**Microscope: By having students work with partners they will be able to discuss what they are doing and what they have learned. It will allow them to go into as much detail as they want on their house.**

**Puppy: The students will have a few ways of presenting so this will allow students who are afraid of talking in front of the class to just record their voice and play it for the class.**

**//Standard 4 - Plans instruction based upon knowledge of subject matter, students, curriculum goals, and learning and development theory.//** **Rationale: Students will be working toward their goals of using polygons correctly and working with polygons to solve problems. They will have to find area's of shapes, volume of shapes, use congruence, and the Pythagorean theorem.** Maine Learning Results: Mathematics-C. Geometry Geometric Figures Grade 9-Diploma 1 Students justify statements about polygons and solve problems Using things from lesson five students will be able to find the missing side of a right triangle. Students will be able to use the pythagorean theorem to find length of a missing side of a triangle. **(Application)**

**//Standard 5 - Understands and uses a variety of instructional strategies and appropriate technology to meet students’ needs.//** **Rationale: Students will be learning in a variety of ways during their projects and will be using technology throughout.**

Verbal/Linguistic-Students will be able to talk to each other while working on their project because they are working with partners. They will also be able to explain what they have done during their presentations. Mathematical/Logical- The projects process is basically step by step what students need to do so it will be easy for these students to look at what they need to do and complete their task. Visual/Spatial- When students are doing their project they will have to draw out what they want their house to look like so that will help these students. Bodily/Kinesthetic- By having students come to the front of the class and present their project it will allow these students to move around while they are talking and presenting. Musical/Rhythmic- Students have the freedom to present their projects really in anyway. So these students would be able to sing what they have done or include a song in their presentation. Intrapersonal- Students will have to do some work on their own to do their final reflection so this will allow these students to be by themselves where thy may do their best thinking. Interpersonal-Students will be working with their partners to create their projects so this will allow them to get different ideas and space out the work. Naturalist Technology: Students will be working with Glogster and Mybrainshark to create their presentations. This will allow them to get their ideas out in different ways.

**//Standard 8 - Understands and uses a variety of formal and informal assessment strategies to evaluate and support the development of the learner.//** **Rationale: I use a lot of different assessments throughout the unit however during this unit not so much it is mostly just a big Summative assessment.**

**Formative (Assessment for Learning)** I will be checking for understanding throughout the unit. I will be giving quizzes and checklists and things of that nature as well as having students do examples for me. They will also be walking me through examples and working on homework problems on their own. This lesson is really just their final project so their won't be a lot of formative assessment, really it will just be what we have done throughout the unit.

**Summative (Assessment of Learning)** 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. It is very important that you are creative, you can use the same shapes it you want however don't use them to often or else your clients will be bored with the house you design. 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, using your knowledge of triangles, area and 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!

**__Teaching and Learning Sequence__**

Step 1: Look over your notes about everything that we have learned in class about triangles, area/volume, and using the Pythagorean theorem. Step 2: To make sure that you understand what you have learned look over these websites about volume, area, and different triangle calculations Area/Volume [|http://www.buzzle.com/articles/how-to-calculate-volume.html] [|http://www.mathsisfun.com/area-calculation-tool.html]

Congruence with triangles [|http://www.analyzemath.com/Geometry/congruent_triangles.html]

[|http://www.cliffsnotes.com/study_guide/Congruent-Triangles.topicArticleId-18851,articleId-18788.html]

Pythagorean Theorem [|http://www.mathwarehouse.com/geometry/triangles/right-triangle.html] Step 3: Read the task portion of the WebQuest know exactly what it is you are supposed to do. Step 4: Design your house. You are going to have to design a house for people on the show hoarders. Make sure to use many different shapes, and triangles (see rubric). Step 5: Add dimensions to all of your shapes and make sure that the house is realistic, and crazy looking. Step 6: Explain why you have designed the house the way that you have. Make sure to tell what the people designing the house would like about the way you designed the house. Step 7: Do all the calculations for the house that you have designed. Make sure that you do out every step of the calculation so that the owners of the house know exactly how much space they are dealing with. Step 8: Find a way to present your house in a creative way. You can use mybrainshark or glogster to present your house. If you find a better way to present your findings you can present your idea to me. Step 9 (optional): Practice presenting your presentation. You will be presenting your house design to the class and also to the people who are buying the house so you should really be prepared. Step 10: Fill out the reflections about the project. **Content Notes** Students will be able to figure out the area of many shapes and polygons. I will start with the basics being squares and rectangles, triangles, circles, trapezoids, parallelograms. I will ask students to be able to see how they are similar and as them to explain why we figure out area in this way. Formulas: A=bh, A=1/2bh, A=1/2(b1+b2) A=pie times radius squared. **Volume** : Students will also need to be able to figure out volumes for many shapes I will ask the students to explain how they could relate area, and volume together. Students will know the formulas for volumes of cones, cubes, cylinders, spheres, rectangular prisms, triangular prisms. **Triangles angles add up to 180 degrees** Lines signify congruence SAS, ASA, SSS, AAS, Give example of different congruent triangles on the fly Asquared+Bsquared=Csquared

**Handouts**
 * The only handouts are the reflection**