L6+Doran,+Christopher


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


 * Teacher’s Name:** Mr. Doran
 * Lesson #:** 6
 * Facet:** Apply
 * Product:** iMovie
 * Grade Level:** 10th
 * Topic:** Applications of functions.

__**Objectives**__

 * Student will understand that** that all sorts of functions are used in real world problems every day**.**
 * Student will know** different terminology such as: variable, position, velocity, acceleration, derivative, distributive property, associative property, and commutative property.
 * Student will be able to do** create a real world situation involving algebraic functions and techniques.

__**Maine Learning Results Alignment**__
Maine Learning Results: Mathematics - D. Algebra Functions and Relations (4) Grades: 9-Diploma Students understand and interpret the characteristics of functions using graphs, tables, and algebraic techniques


 * Rationale:** In this lesson, students will be making their own real world problem where math is used to figure out a solution.

__**Assessment**__

 * Formative (Assessment for Learning)**

Students will complete homework problems from their textbook and complete in class problems dealing with applications of algebraic problems. The homework will be reviewed during the next class period to see what the students understand and don't understand about different mathematical applications and scenarios. Students will be able to ask questions about certain applications and homework problems to clarify any misconceptions they might have. A describing wheel that was used in the prior lesson will be used to have students remember the different algebraic properties such as the distributive and commutative property, as well as the concept of a derivative. Students will use the Team-Pair-Solo collaborative learning technique to practice a variety of different word problems with their group members. The next class period, I will go over homework problems before students take a one question quiz on an application of math.


 * Summative (Assessment of Learning)**


 * iMovie**: This is the big project assigned to you during this unit that will bring everything together towards the end of this unit. Renowned Hollywood movie production company, Paramount Pictures, has just announced their next idea for a movie that features math used in the real world. As actors, your job is to create a short film that uses algebra in a real world setting in two developed ways. After your submission, the production crew will review all auditions. Whichever team creates the best film will become the stars of their new movie being shot in the San Francisco area. Because they will be reviewing a lot of films, they ask that your submission be between 3-5 minutes. Going over that allotted time will hurt your chances to land the job. Get creative and think of a way that math is helpful in problem solving; for the executives will want to make sure that whoever is starring in their film has a solid knowledge of functions and their uses. Go break a leg! The iMovie and Presentation will be graded using two separate rubrics, and the two will be averaged together for a final grade on the project. **//(125 points)//**

__**Integration**__

 * Technology:** Students will be utilizing type II technology in this lesson by creating an iMovie


 * Drama/Theater:** Students will be acting out different scenarios where math is used in problem solving.


 * English:** Students will be writing a script for their iMovie product.

__Groupings__
In the last lesson, students got into groups based on their birth season. The groups will be reformed in this lesson and students will be solving different applications of math in these groups. These groups will also be the same for when the students create their final product.

__**Differentiated Instruction**__

 * Strategies:**


 * Linguistic:** Word problems and class discussion will be used to engage these types of learners in the material.
 * Logical:** Practice problems will be given to the class to make these students engaged in the material
 * Spatial:** Example problems will be done on the board with a picture to help these learners get the idea of how to solve these applications.
 * Interpersonal:** Example problems will be done as a class to help these learners understand how to best solve word problems.
 * Intrapersonal:** The Team-Pair-Solo technique will allow these learners time on their own to think about how real world problems would incorporate the different types of properties.
 * Naturalist:** Word problems involving nature of some sort would perhaps engage these learners to see its usage in the outside world.


 * Modifications/Accommodations**

I will review student’s IEP, 504 or ELLIDEP and make appropriate modifications and accommodations.


 * Absent:** If a student is absent, it will be the student's responsibility to get any work that was missed that day and make a plan with me on how to get caught up. If the student is unable to attend school, yet is well enough to participate, the use of Skype will be possible to get the information. Students will need to email me beforehand to let me know that they will be skyping in so I can plan accordingly.


 * Extensions**

Students will use video editing software to create a real world application of math.

__**Materials, Resources and Technology**__
Students will need:
 * Pencil
 * Notebook
 * Textbook
 * Graphing Calculator
 * Laptop
 * 3 Ring Binder
 * Video editing software

I will need:
 * White board markers
 * Laptop
 * Graphing Calculator
 * Describing Wheel handout
 * Pen/Pencil
 * Quiz
 * Rubric

__Source for Lesson Plan and Research__
[] ~ Applications of Linear Equations [] ~ Applications of Quadratic Equations

__**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:** Beach Ball ~ Students will be moving a lot and will be given a lot of leeway when it comes to deciding what they want to do for their iMovie project. Microscope ~ Students will be analyzing and solving real world applications. Clipboard ~ Students who are clipboard learners will have a graphic organizer to keep their thoughts and ideas organized. Puppy ~ Students who are puppy learners will feel safe in a fun environment where students are working together in a group.


 * //Standard 4 - Plans instruction based upon knowledge of subject matter, students, curriculum goals, and learning and development theory.//**


 * Rationale:** Students will need to know different terminology such as: variable, position, velocity, acceleration, derivative, distributive property, associative property, and commutative property (Reference content notes at the end of the lesson). //**Students understand and interpret the characteristics of functions using graphs, tables, and algebraic techniques**//**.** The facet that I chose for this lesson is apply in hopes that //students will be able to create a real world situation involving algebraic functions and techniques.// I chose this facet because I want my students to use everything I've taught them in my previous lessons, and be able to relate it to the real world.


 * //Standard 5 - Understands and uses a variety of instructional strategies and appropriate technology to meet students’ needs.//**


 * Rationale:**


 * Linguistic:** Word problems and class discussion will be used to engage these types of learners in the material.
 * Logical:** Practice problems will be given to the class to make these students engaged in the material
 * Spatial:** Example problems will be done on the board with a picture to help these learners get the idea of how to solve these applications.
 * Interpersonal:** Example problems will be done as a class to help these learners understand how to best solve word problems.
 * Intrapersonal:** The Team-Pair-Solo technique will allow these learners time on their own to think about how real world problems would incorporate the different types of properties.
 * Naturalist:** Word problems involving nature of some sort would perhaps engage these learners to see its usage in the outside world.


 * Technology:** Students will be utilizing type II technology in this lesson by creating an iMovie


 * //Standard 8 - Understands and uses a variety of formal and informal assessment strategies to evaluate and support the development of the learner.//**


 * Rationale:** This is how I plan on assessing student learning.


 * Formative (Assessment for Learning)**

Students will complete homework problems from their textbook and complete in class problems dealing with applications of algebraic problems. The homework will be reviewed during the next class period to see what the students understand and don't understand about different mathematical applications and scenarios. Students will be able to ask questions about certain applications and homework problems to clarify any misconceptions they might have. A describing wheel that was used in the prior lesson will be used to have students remember the different algebraic properties such as the distributive and commutative property, as well as the concept of a derivative. Students will use the Team-Pair-Solo collaborative learning technique to practice a variety of different word problems with their group members. The next class period, I will go over homework problems before students take a one question quiz on an application of math.


 * Summative (Assessment of Learning)**


 * iMovie**: This is the big project assigned to you during this unit that will bring everything together towards the end of this unit. Renowned Hollywood movie production company, Paramount Pictures, has just announced their next idea for a movie that features math used in the real world. As actors, your job is to create a short film that uses algebra in a real world setting in two developed ways. After your submission, the production crew will review all auditions. Whichever team creates the best film will become the stars of their new movie being shot in the San Francisco area. Because they will be reviewing a lot of films, they ask that your submission be between 3-5 minutes. Going over that allotted time will hurt your chances to land the job. Get creative and think of a way that math is helpful in problem solving; for the executives will want to make sure that whoever is starring in their film has a solid knowledge of functions and their uses. Go break a leg! The iMovie and Presentation will be graded using two separate rubrics, and the two will be averaged together for a final grade on the project. **//(125 points)//**

__Teaching and Learning Sequence__
Students will come into the class and take their seats at their desks which are arranged in the shape of a quadratic function

Day 1: (80 minutes)


 * Revisit the class discussion from the last lesson and re-ask students where math can be used in the real world (10 minutes).
 * Do example problems of applications of math as a class, teaching students how to set up these types of problems (20 minutes)
 * Have students reform their groups from the last lesson and have them work on different applications of math (20 minutes).
 * Introduce iMovie WebQuest project that they will be completing, going over the performance task and rubrics (20 minutes).
 * Rest of class period devoted to students brainstorming different ideas for their project (10 minutes).

Day 2: (80 minutes)


 * At the beginning of class, I will go over the homework and in class problems that the students completed and answer any questions regarding them (10 minutes).
 * Students will then take a quiz asking them to solve one application of a mathematical problem (15 minutes).
 * After the quiz, I will show the students a bad sample final project. (5 minutes)
 * After the video, students will break up into their groups and work on completing their WebQuest for the rest of class, doing 1 and 2 of the process section (50 minutes).

Day 3: (80 minutes)


 * I will pass back the quizzes students took last class and go over it, answering any questions they might have on it (10 minutes).
 * The rest of the class is devoted for students to work on their WebQuest. I will be available if students need assistance with a portion of it and will provide feedback for their scripts. I will have a bonus homework assignment on different applications of the math that the students have learned if they have finished their WebQuest (70 minutes).

Day 4: (80 minutes)


 * Students will take time at the beginning of class to make any final touches that they need to their project (10 minutes)
 * Students will present their projects to the class (50 minutes)
 * After presentations, students will give feedback to me about what they liked and didn't like about the WebQuest (15 minutes)
 * Inform students that the next couple of classes will be a review day preparing for a test to finish the unit (5 minutes)

Students will understand that all sorts of functions are used in real world problems every day. Math is used in real world applications and these are just some of the ways in which algebra is incorporated into life. //Students understand and interpret the characteristics of functions using graphs, tables, and algebraic techniques//. At the beginning of class, I will re-ask the students the question from the last class of, "What relevance is math, specifically algebra, in the real world?" Hopefully, students will know a bit more about applications of math from the last class and they will be able to give a few examples. **Where, What, Why, Hook, Tailors: Intrapersonal, Interpersonal, Logical, Visual**.

Students will need to know different terminology such as: variable, position, velocity, acceleration, derivative, distributive property, associative property, and commutative property. They will use a describing wheel to write down the definition of these terms and any formulas associated with them. Students will respond to the question: "How will real world situations use the functions in their applications?" By doing so, students will be able to relate what they're learning in the classroom to some applications outside of the classroom. **Equip, Explore, Rethink, Tailors: Logical, Visual, Interpersonal, Intrapersonal**

Students will be able to create a real world situation involving algebraic functions and techniques. In the last lesson, students got into groups based on their birth season. The groups will be reformed in this lesson and students will be solving different applications of math in these groups. These groups will also be the same for when the students create their final product. Students will work on different applications of math problems in their groups using the Team-Pair-Solo collaborative learning technique. The following class, I will go over the homework with the students, giving them time to revise their answers and refine their skills before taking a quiz on the same material. The next day I will go over the quiz with the students and answer any questions regarding it that the students may have. **Organize, Experience, Refine, Revise, Tailors: Intrapersonal, Verbal, Logical, Kinesthetic, Interpersonal**

Students will self assess their work by correcting their own homework problems and continuing to attempt more example problems. During their collaborative learning, I will go around the room to help the students with any questions they may have. The quiz that they took in day 2 of the lesson will be graded, handed back, and reviewed by the following class period. At the beginning of each class period, I will allow students to ask any questions they have regarding the homework, quiz, or material covered from the last class. In the next lesson, students will look at more applications of math that can be used in real world situations. **Evaluate, Tailors: Verbal, Logical, Intrapersonal, Interpersonal**


 * Content Notes**

[] By using this site and other pages on it, I will be able to give students example problems to complete and even do some with the entire class together. Students will also use this site in their WebQuest to spark ideas about what they want to solve with their project.


 * Handouts**


 * Describing Wheel
 * Rubrics for WebQuest