L2+Dionne,+Christina

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

Teacher’s Name: Ms. Dionne Date of Lesson: Lesson 2: Explain Grade Level: 7 Topic: Polygon Breakdown

Objectives Student will understand that solving problems involves finding areas of polygons and circles. Student will know the formulas: A=lw for a parallelogram, A=(pi)r², for a circle, A=½lw, a²+b²=c² for a triangle, A=(pi)ab for an oval, and A=ap for a regular polygon; the terminology: apothem, regular, and irregular; and the critical detail: combined figures can be broken down into circles, triangles, and/or squares. Student will be able to explain how combined polygons can be broken down into triangles and squares.

Maine Learning Results Alignment Maine Learning Results: Mathematics- C. Geometry Geometric Measurements Grade 7 2. Students solve problems involving perimeter and area. Rationale: This lesson helps the student find the area of an irregular polygon by breaking it down into shapes that they know how to find the area of.

Assessment Formative (Assessment for Learning) The students will use the Area of Irregular Polygons worksheet for a graphic organizer. On one side would be an irregular polygon. The student must find the least amount of shapes to break it down into in order to be able to find the area. They will work in a Team Pair Solo style of cooperative learning. As they work, I will provide feedback. They will also daily keep track of the types of problems that they are having difficulty with, and the ones they have mastered in their blog. As the teacher, I will comment each blog after every class.

Summative (Assessment of Learning) To display their knowledge of the breakdown of irregular polygons into regular polygons, students will create a Glogster. The Glogster will contain several irregular polygons that break down into circles, parallelograms, and regular polygons with more than four sides. The student will explain the measurements that correspond with finding the area and perimeter of the irregular polygon. To show deeper understanding, students will also be given the chance to explain corresponding angles, and how they relate to each of the regular polygons that make up the irregular polygon. The Glogster will be scored using a rubric.

Integration Technology: Technology will be present in this lesson as students use Glogster. This allows students to create a virtual representation of a poster on the internet. Other Content Areas: Art: Students will create a Glogster that is visually aesthetic while still providing the necessary information. English: Students must effectively explain information in text.

Groupings Students will form Team-Pair-Solo teams to work on the graphic organizer. Students will work with others who have the same color notecards that was passed out at the beginning of class. While in this team, students will complete the first section of the Area of Irregular Polygons worksheet. As students complete this section, they will pair up with the student within their group with the same number on the notecards. This pair will then complete the next section of the worksheet. As students finish this section, they will then work individually on the last section.

Differentiated Instruction

Strategies Visual: Students will be shown art works that have different polygons combined. They will find different shapes within the art work that they can find the area of. Naturalist: Students will be shown art works of combined polygons that integrate nature. They will find different shapes within the art work that they can find the area of. Intrapersonal: Students will reflect in their journals about how they are doing with the lesson, as well as the big picture of this lesson. Musical: Students and teacher will discuss the correlation of the breakdown of music and the breakdown of polygons. As different instruments are played, they create a whole piece; as regular polygons are combined, they form irregular polygons. Logical: Students will discuss when it is appropriate to break down figures, and how much a figure should be broken down. Interpersonal: Students will work in groups, which will break down into pairs, and then break off into solo work. While in groups, students will have the opportunities to discuss problems and share ideas.

Modifications/Accommodations I will review student's IEP, 504 or ELLIDEP and make appropriate modifications and accommodations. Absent students will be required to contact me via email, office hours, or between classes to obtain missed homework and discuss what was missed. Students will be asked to set up arrangements on how the Area of Irregular Polygons worksheet, Area of Regular Polygons handout, or the quiz will be completed and when it will be appropriate to turn it in. If students are unable to work on the Glogster due to absences, then the student will be given an appropriate extension provided they contact me with a plan of completion.

Extensions The Glogster becomes a Type II technology because it allows students to incorporate more into a poster. The Glogster allows students to go beyond the assignment. By including elements, such as music, links, and videos, students become more expressive and are capable of analyzing the lesson more thoroughly. Students can link to other sites that expand upon the explanations they provide.

Materials, Resources and Technology •Student Laptops/Laptop Cart •Pencils and Erasers •Projector/SmartBoard •Colored and Numbered Notecards •Area of Irregular Polygons Worksheet •Area of Regular Polygons Handout •Pictures of Art •Rulers •Calculators •Glogster Checklist •Area of Irregular Polygons Quiz •Glogster Rubric •Answer Key for Quiz •Answer Key for Area of Irregular Polygons Worksheet

Source for Lesson Plan and Research Glogster Teacher Tutorial http://www.youtube.com/watch?v=80NISdsoouE This tutorial will allow shows teachers how to set up student accounts as well as how to create a Glog.

Quick Glogster Tutorial http://www.youtube.com/watch?v=MvC47fUANLk&feature=related This tutorial is a short tutorial that quickly shows students how to use each feature of Glogster. For a more in-depth tutorial, allow students to use the teacher tutorial. At 2:15 into the video, it begins to explain the features of Glogster.

HogafflaHage Link http://svt.se/hogafflahage/hogafflaHage_site/Kor/hestekor.html This links to an interactive musical animation. This animation will be used as the hook for the lesson. Each horse is to be considered a regular polygon. When all horses are singing, then the irregular polygon is formed.

Team-Pair-Solo Teams http://edtech.kennesaw.edu/intech/cooperativelearning.htm#activities This website explains in more detail how students will work together in the cooperative group.

Graphic Organizers http://www.eduplace.com/graphicorganizer/ The Problem-Solution Chart used within the lesson was adapted from this website.

Graphic Organizers http://www.sw-georgia.resa.k12.ga.us/Math.html The Area of Regular Polygon worksheet within the lesson is from this website.

Glogster Checklist and Rubric http://www.olejarz.com/ The Glogster checklist and rubric are adapted from this website.

Artwork http://mathforum.org/~sanders/mathart/images/Mary.gif http://mathforum.org/~sanders/mathart/images/Koch.gif http://mathforum.org/~sanders/mathart/images/flowrs.gif http://clipart.peirceinternet.com/christmas.html (Snowflakes)

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 who enjoy a variety of resources in an adaptive environment with many choices, manipulatives, and spontaneity will be supported within my classroom. Within this lesson, students will be provided with multiple graphic organizers. They will be able to manipulate the problems by deciding how to break an irregular polygon into regular polygons. Students will also have the opportunity to express their creativity when creating their Glogster. For those students who rely on organization and structure with clear procedures and expectations as well as closure, the proper support will be provided within the classroom. Graphic organizers will be handed out that will help guide the lesson. Students may refer to these as they are working on the Glogster. The layout of the days mimic what the student is used to: instruction, cooperative groups, blog, and project. Students who are fond of discovering and analyzing concepts, and exploring, discussion, focusing on details, are supported within this lesson. Polygons are explored deeply as students find correlations between irregular polygons and regular polygons. Discussion is a major aspect of this lesson as students work within teams and pairs to work through the graphic organizer.

Standard 4 - Plans instruction based upon knowledge of subject matter, students, curriculum goals, and learning and development theory. Rationale: Students will know the formulas for the area of regular polygons, the Pythagorean Theorem, and the terminology apothem, regular, and irregular. They will also know to critical detail that a polygon can be broken into squares and triangles to find area and perimeter. Please refer to content notes. Students solve problems involving perimeter and area. The students are recognizing how an irregular polygon can be broken down into regular polygons. By doing so, students will be able to combine the area of the regular polygons to find the area of the irregular polygon.

Standard 5 - Understands and uses a variety of instructional strategies and appropriate technology to meet students’ needs. Rationale: Visual: Students will be shown art works that have different polygons combined. They will find different shapes within the art work that they can find the area of. Naturalist: Students will be shown art works of combined polygons that integrate nature. They will find different shapes within the art work that they can find the area of. Intrapersonal: Students will reflect in their journals about how they are doing with the lesson, as well as the big picture of this lesson. Musical: Students and teacher will discuss the correlation of the breakdown of music and the breakdown of polygons. As different instruments are played, they create a whole piece; as regular polygons are combined, they form irregular polygons. Logical: Students will discuss when it is appropriate to break down figures, and how much a figure should be broken down. Interpersonal: Students will work in groups, which will break down into pairs, and then break off into solo work. While in groups, students will have the opportunities to discuss problems and share ideas.

Extensions: The Glogster becomes a Type II technology because it allows students to incorporate more into a poster. The Glogster allows students to go beyond the assignment. By including elements, such as music, links, and videos, students become more expressive are capable of analyzing the lesson more thoroughly. Students can link to other sites that expand upon the explanations they provide.

Standard 8 - Understands and uses a variety of formal and informal assessment strategies to evaluate and support the development of the learner. Rationale: Formative (Assessment for Learning) The students will use the Area of Irregular Polygons worksheet for a graphic organizer. On one side would be an irregular polygon. The student must find the least amount of shapes to break it down into in order to be able to find the area. They will work in a Team Pair Solo style of cooperative learning. As they work, I will provide feedback. They will also daily keep track of the types of problems that they are having difficulty with, and the ones they have mastered in their blog. As the teacher, I will comment each blog after every class.

Summative (Assessment of Learning) To display their knowledge of the breakdown of irregular polygons into regular polygons, students will create a Glogster. The Glogster will contain several irregular polygons that break down into circles, parallelograms, and regular polygons with more than four sides. The student will explain the measurements that correspond with finding the area and perimeter of the irregular polygon. To show deeper understanding, students will also be given the chance to explain corresponding angles, and how they relate to each of the regular polygons that make up the irregular polygon. The Glogster will be scored using a rubric.

Teaching and Learning Sequence: Desks will be along three sides of the room, with space in the middle for activities.

Agenda: Day 1: Music and Art (10 min) Regular Polygon Area Worksheet (20 min) Irregular Polygon Breakdown (15 min) Problem-Solution Chart (15 min) Explain Glogster (10 min) Blog entry (10 min)

Day 2: Problem-Solution Chart (20 min) Class Discussion (30 min) Quiz (20 min) Glogster (10 min)

Students will understand solving problems involves finding areas of polygons and circles. Students solve problems involving perimeter and area. Collapsible items, such as futons or gym equipment, are made of several polygons that can be broken down to save space (or area). Art works combine polygons to create designs and patterns. Class will begin with a look at how a piece of music can be composed by combining different instruments (or vocals). The students will then analyze geometric artworks in which they will see how irregular polygons can be created from regular polygons. Where, Why, What, Hook, Tailor: Musical, Visual, Naturalist

Students will know the formulas: A=lw for a parallelogram, A=(pi)r², for a circle, A=½lw, a²+b²=c² for a triangle, A=(pi)ab for an oval, and A=ap for a regular polygon; the terminology: apothem, regular, and irregular; and the critical detail: combined figures can be broken down into circles, triangles, and/or squares (see content notes). I will then talk about regular polygons, and how most can be created by combining triangles. The students will receive a graphic organizer that lists the formulas of area for regular polygons. The Area of Regular Polygons handout will be looked over and explained as a class. Students will fill out the handout as it is discussed. The class will then shift gears and discuss how these polygons can be combined to create irregular polygons. Since the area of regular polygons can be found, the area of irregular polygons composed of regular polygons can be found. Two examples will be given, and the students will be challenged to think about when it is necessary to break down a polygon, and how much it should be broken down. The students will then receive the Area of Irregular Polygons worksheet and get into their color groups of four determined by the color notecard they were handed at the beginning of class. The students will work on the first section of problems as a team. As they are working, I will go to each group and check for understanding. Once I have met with all groups, students will return to the normal class arrangement. I will hand out the Glogster Checklist and explain the assignment. The students will have the rest of the class period to complete a blog entry and explore Glogster. Equip, Explore, Evaluate, Rethink, Tailor: Intrapersonal, Interpersonal

Day Two Begins Class begins with the Area of Irregular Polygons worksheet. Students will get into the teams of the previous class period. If they have not finished the first section, they are to do so. Once the first section is completed, students will pair up with the student who has the same number on the notecard as they do. Once in pairs, students will work on the next section of problems. After these problems are completed, students will work on the last section alone. As students work, I will be checking for understanding. If students complete the worksheet before others, they are allowed to work on the Glogster. Once all students have completed the handout, the class will look over the problems together. The answers will be given, and students will discuss problems that were not correct. I will challenge the students to think about how many breakdowns was necessary, and which solutions were easier than others. Once all questions are answered, the students will receive the Area of Irregular Polygons Quiz. After the quiz is completed, students will fill out a blog entry and then work on the Glogster. The Glogster will be due at the beginning of the next class period. Revise, Evaluate, Refine, Tailor: Interpersonal, Logical, Intrapersonal

Content Notes Students will know formula of area for a parallelogram (or rectangle) which is A=lw; where l is the length and w is the width of the parallelogram. (http://www.mathgoodies.com/lessons/vol1/area_parallelogram.html; http://www.mathopenref.com/rectanglearea.html) Students will know the formula of area for a circle, A=(pi)r², where r is the radius of the circle and pi is approximately equal to 3.14. (http://www.mathgoodies.com/lessons/vol2/circle_area.html) Students will know the formula for the area of a triangle is A=½bh, where b is the base, h is the height of the triangle. (http://www.mathsisfun.com/triangle.html) Students will know the formula for the area of an oval or ellipse is A=(pi)ab, where a and b are the major and minor radii. (http://www.mathopenref.com/ellipsearea.html) Students will know the Pythagorean Theorem, a²+b²=c², which allows students to solve for a side of the triangle when they know the length of two. This formula will assist students in finding the area of triangles. (http://www.grc.nasa.gov/WWW/K-12/airplane/pythag.html) Students will know the term apothem. It is the line that goes from the center of the polygon to the side. It forms a right angle with a side of the polygon. (http://www.mathopenref.com/polygonapothem.html) Students will know the term regular and irregular polygon. A regular polygon is a shape where the length of each side is equal to the other. An irregular polygon does not have equal sides. (http://www.mathopenref.com/polygonregular.html; http://www.mathopenref.com/polygonirregular.html) Students will know that combined figures, such as irregular polygons, can be broken down into circles and regular polygons. By doing so, they may more easily find the area of the irregular polygon.

Handouts Area of Regular Polygons Handout Area of Irregular Polygons Worksheet Area of Irregular Polygons Quiz Glogster Checklist Glogster Rubric