L3+Lambert,Joshua+Blaine


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


 * Teacher’s Name: Mr. Lambert**
 * Date of Lesson: 3 Perspective**
 * Grade Level: 8**
 * Topic: Slope of Parallel Lines**

__**Objectives**__
Student will understand that parallel lines can be used to solve real world problems. Student will know what slope is and that having the same slope makes lines parallel. Student will be able to compare mulitple lines to determine if they are parallel.

__**Maine Learning Results Alignment**__
Maine Learning Results: Mathematics - C. Geometry Geometric Figures Grade 8 2 Students know and use angle properties of parallel lines to solve problems and determine geometric relationships.
 * Rationale:** Parallel lines are used during construction projects frequently. Equal slopes in the real world exist on different scales, seeing this will further the students understanding of slope and parallel.

__**Assessment**__
The student sages will be able to peer assess their classmates about their tic tac toe lines and their slopes. The students will then have an opportunity to correct their graphic organizers as needed. I will look at some digital pictures from all groups to see how they are thinking of grouping their pictures. By the students telling me what they are thinking in regards to slope groupings I will be able to gauge how well they understand the idea.
 * Formative (Assessment for Learning)**

A rubric will be used to evaluate the collages of different slopes, to make sure students are learning the relationship between the slope of lines and if the lines are parallel. For this part of the unit we are assuming all slopes we find in the world are on the same plane. The groups will present their collages which will allow them an opportunity to orally demonstrate their learning. The presentation will be scored by a rubric.
 * Summative (Assessment of Learning)**

__**Integration**__
Technology: The class will use digital cameras to take pictures of slopes in the real world. They will then upload their pictures to their laptops and create a collage grouping (roughly) parallel slopes. The default product is a Prezi product but any student can find another photo editing/ collage creating software to be approved for the project.

Art: There is a lot of room for artistic creation with the Prezi or online collage software. Speech/Communication: The groups will give an oral presentation of their collages of slopes, they will be able to show their abilty to speak in front of an audience.

__Groupings__
During the circle the sage exercise there will be a couple students that are designated the sage based on their understanding of slope. I will use the assessments from the previous two lessons to gauge whom those students will be. After the sages have been identified the remaining group members will pick a card from the deck of cards. I will have arrainged the deck so there are equal number cards in each suit. The hearts, spades, clubs, and diamonds will get together to create the groups. The sages of course will be the ace of their respective suits. The groups will look at each person's graphic organizer to make sure everyone understands slope.

Students will be given the option to work in a group of their choice during their picture taking project. They will be able brainstorm ideas together about where slopes in the natural world appear. Group sizes will be limited to no more than three students. Each group member is responsible for taking an equal number of pictures for the collage.

__**Differentiated Instruction**__
Naturalist: These students can really get into finding pictures of slopes in their natural environment. Interpersonal: Students will work with other people during the circle the sages exercise to further their understanding of slope. Also the slope collage can be a group project. Intrapersonal: Students will work individually with the graphic organizer to create their own coordinate plane which will allow them to have their own unique slope to calculate. Musical: The slope song will reinforce what the formula of slope is and grab the attention of these learners. Kinestetic: These students get to move around during the circle the sages exercise. They will also benefit from being outside and moving when they are taking pictures of slope in the real world. Visual: The graphic organizer will help these students see parallel lines on a coordinate plane to reinforce the concept of slope. I will review student’s IEP, 504 or ELLIDEP and make appropriate modifications and accommodations.
 * Strategies**
 * Modifications/Accommodations**

If you are absent during the class where we circle the sages to examine slope of parallel lines please e-mail me to set up a time to meet before school, during a learning lab, or after school so I can catch you up with the concepts you missed. If you have a group in mind that wants you to join them please have them catch you up with the requirments of the slope collage project. If you are planning on working alone I can explain the assignment when we meet to get you caught up.
 * Absent**

Technology: The class will use digital cameras to take pictures of slopes in the real world. They will then upload their pictures to their laptops and create a collage grouping (roughly) parallel slopes. The default product is a Prezi product but any student can find another photo editing/ collage creating software to be approved for the project.
 * Extensions**

__**Materials, Resources and Technology**__

 * Deck of cards
 * Slope of a line song
 * Laptop and speakers to play the song
 * Tic-tac-toe graphic organizer
 * Example problems to give the sages to help their peers
 * Rubric for the project
 * Rubric for the presentation
 * Digital Cameras

__Source for Lesson Plan and Research__
Tic-tac-toe Graphic Organizer: [] This website offers a variety of graphic organizers teachers can use to help their students understand concepts. Circle the Sage Cooperative Learning: [] This website has some ideas for cooperative learning group activities. The method used in this lesson is the Circle the Sages. Students that have mastered the concept of slope will be the sages. They will show a small group of their peers how to find slope and how lines compare to each other based on slope. Geometry Text Book: //Geometry: Concepts and Applications,// Glencoe Mathematics, McGraw Hill. [|www.geomconcepts.com]. This is the text book being used by Mt. Blue High School geometry CPI class.

__**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: B**each ball learners will benefit from using the digital cameras and Prezi to show their creativity to group slopes of parallel lines. The clipboard learners will benefit from seeing the rubric that will be used to grade their product from this lesson. It will allow them to see exactly what they need to do to receive a good result. The microscope learners will be able to focus on details and concepts during the Tic-tac-toe graphic organizer so they can tie all the information together. The puppy learners will benefit from the Circle the Sages exercise to answer questions in a small group environment so they are free to ask questions and make mistakes without being judged.


 * //Standard 4 - Plans instruction based upon knowledge of subject matter, students, curriculum goals, and learning and development theory.//**
 * Rationale:** See content notes. After this lesson students will know that slope is the change in rise over the change in run and be able to explain what that means. They will be able to compare two slopes and explain if they are parallel or not.

Naturalist: These students can really get into finding pictures of slopes in their natural environment. Interpersonal: Students will work with other people during the circle the sages exercise to further their understanding of slope. Also the slope collage can be a group project. Intrapersonal: Students will work individually with the graphic organizer to create their own coordinate plane which will allow them to have their own unique slope to calculate. Musical: The slope song will reinforce what the formula of slope is and grab the attention of these learners. Kinestetic: These students get to move around during the circle the sages exercise. They will also benefit from being outside and moving when they are taking pictures of slope in the real world. Visual: The graphic organizer will help these students see parallel lines on a coordinate plane to reinforce the concept of slope.
 * //Standard 5 - Understands and uses a variety of instructional strategies and appropriate technology to meet students’ needs.//**
 * Rationale:**

The student sages will be able to peer assess their classmates about their tic tac toe lines and their slopes. The students will then have an opportunity to correct their graphic organizers as needed. I will look at some digital pictures from all groups to see how they are thinking of grouping their pictures. By the students telling me what they are thinking in regards to slope groupings I will be able to gauge how well they understand the idea. A rubric will be used to evaluate the collages of different slopes, to make sure students are learning the relationship between the slope of lines and if the lines are parallel. For this part of the unit we are assuming all slopes we find in the world are on the same plane. The groups will present their collages which will allow them an opportunity to orally demonstrate their learning. The presentation will be scored by a rubric.
 * //Standard 8 - Understands and uses a variety of formal and informal assessment strategies to evaluate and support the development of the learner.//**
 * Rationale:**

__Teaching and Learning Sequence__
The classroom will be set up in small groups. Students that are working together on their collages will sit as a group. (4 minutes) The slope song (15 minutes) Tic-tac-toe graphic organizer, turned at any angle students will draw a coordinate plane on their paper and calculate the slope of their tic-tac-toe lines. Then will identify any lines that are parallel. (20 minutes) Circle the sage cooperative learning exercise, students that have mastered slope will be the sages. They will peer assess all the tic-tac-toe graphic organizer to ensure all members of the group understand slope and parallel lines. (10 minutes) I will explain the rubric for the project and the presentation. (6 minutes) I will assign digital cameras to student choosen groups. (20 minutes) students can begin looking for slopes in the natural world. We will be outside during this time. (5 minutes) Return to the classroom to get ready to leave. Day 2: (10 minutes) I will answer any questions that came up while the students were taking pictures of slope in the real world. (30 minutes) The students will have this time to finish their collages of slopes. (30 minutes) The groups will present their collages to the class. (10 minutes) I will discuss any differences or similarities that showed up between groups. This lesson will provide the students with an opportunity to show what they know about slope and parallel lines. After this lessone students will know what slope is and that having the same slope makes two lines parallel. They will understand that parallel lines can be used to slove real world problems and be able to compare multiple lines to determine if they are parallel. There is a smaller focus on the math that is used to calculate the slope, rather we are focusing on thinking about where this type of situation might arise in the world around us. Seeing slope in different areas of the world will help the students see how math is used everyday. When the class begins I will play the Slope of a Line song to get the kid's attention. The music with mathematical lyrics will really get the musical learners involved in the class.

I will hand out the Tic-tac-toe graphic organizer and ask the students to rotate it at any angle they want. They will then tape the paper to their desk and draw a coordinate palne on the page. After they create their plane, they will then calculate the slope of four lines that created the tic-tac-toe shape. The students will notice that no matter how much you rotated your paper the two "vertical" lines have the same slope, and the two "horizontal" lines have the same slope. Then we will make the conclusion that those sets of lines are parallel to each other. After the graphic organizer is complete, we will draw cards for the circle the sages exercise. I will determine the four sages ahead of time based on the previous two lessons and their level of understanding. The four sages will draw between the four aces of a deck of cards, the rest of the students will draw a card that I have arranged to have an equal amount hearts, diamonds, spades, and clubs so the groups will be even. In the circle the sage exercise the sages will look at the other members graphic organizer and they group will go over any lingering issues that might have arose. After that I will ask some questions and the groups will work through them to make sure everyone understands slope and how to find it.

I will hand out the rubrics for the presentation and the product and go over them with the students. I will make it clear what is expected from them during their group project so all students can work towards the final product that they want to attain. After the rubrics I will sign out digital cameras to the groups. Students will pick their own groups comprised of up to three people. When all the groups have a camera we will go outside so the class can have an opportunity to find some slopes in the real world. The students will take pictures of any slopes they can find, knowing that they will be grouping them by slopes that roughly appear parallel. During the second class I will start by answering any questions that might have come up while the students were looking for pictures. After all clarifying questions have been asked the groups will be given time to finish their collages. I will circulate the room having the groups show me some examples of what slopes they are planning on grouping together. I will be able to gauge their understanding and clear up any confusion there might be.

The groups will then present their online collages to the class. Every member of the group will be an active participant. After all the groups present we will see if there are any slopes from all the different groups that are parallel? There is no further assignments from this lesson but the students willl benefit from the time they got to think about what they have learned and how it would appear in the world. Their understanding of slope and parallel lines will help them in upcoming lessons.


 * Content Notes**

Tic-tac-toe graphic organizer Rubric for project Rubric for presentation Example problems for the sages
 * Handouts**