S+Leal,+Samuel

**Office:** Room 211 **Office Hours:** (T/TH 1pm-2pm), (MWF 11pm-12pm) **Office Phone:** (207) MAT-HELP ** E-mail: ** samuel.leal@maine.edu
 * Teacher:** Mr. Leal

=Summary of Unit= Welcome to the next unit! This unit is called Seeing Structure in Expressions. In this unit we are going to learn to analyze mathematical expressions so we can rearrange them to help make it possible to solve. In this unit we are going to do a variety of digital products that will allow you to be very creative and interactive. We will learn to use many new technologies from creating a movie in iMovie to making a comic in Comic Life and much, much more. Using technology will be a fun way to learn a lot of math and to have fun presenting our mastery of the material! The big ideas of the unit are factoring. We will learn many different ways to factor as well as all the tricks and tips to be able to factor anything. There will be only one test! This allows for all different types of students and their unique learning styles to succeed and show their understanding of the material. A lot of the work will be in groups making learning from each other more and more fun. Welcome math with an open-mind! This class will let you be creative and have fun, we'll make many applications of the math to the real world in this unit.

=Establish Goals= Common Core State Standards Content Area: Algebra Grade Level: High School Domain: Seeing Structure in Expressions Standard: Write expressions in equivalent forms to solve problems Clusters: 3, 4

=Students will understand that= • factoring is a way to reveal zeros of the functions it defines. • Completing the square and the quadratic formula are two ways to factor out a quadratic equation. • properties of exponents can be used to transform expressions for exponential functions.

=Essential Questions= • how to solve for "x" by factoring and revealing zeros. • how to use the quadratic formula to factor out an equation and also understand how to complete the square. • why is this exponent expression equal to another expression if they don't look exactly the same.

=Students will know= • vocabulary: function, expression, exponent, factoring, zeros, exponents, exponential growth/decay, variable, coefficient. • formula: completing the square, quadratic equation, FOIL y=x^2 + x +b. • definitions: exponent properties, expressions that are equal, how zeros help find max and min.

=Students will be able to= • demonstrate factoring as a way to reveal zeros of a function. • evaluate a function by factoring it out. • perform a mathematical method known as completing the square. • recognize what the quadratic formula gives you as an answer and what it’s used for. • relate two exponential functions by the properties of exponents. • view exponential growth and decay functions with graphs or just as a function to evaluate them.

**Performance Task Overview** Dearborn Gymnasium is being renovated in 2013. UMF is asking that high school students in the area create an iMovie presentation that will show how UMF can find the MAXIMUM and MINIMUM amount of materials to use in order to minimize the cost. UMF is asking for a clear and concise iMovie presentation that they can use in front of the president to get the construction proposal passed and then later to show to the public in order to receive support from the community.

=Expectations=
 * Absences:** Student participation is a key to success. Participation is an important part of your grade, but I understand students won't always be tip top everyday and will miss maybe a couple classes here and there. But understand that this is a grade way to do really well in this class. I do totally understand that there will be time when you are unable to make it to class. In this case ask students, check the website for assignments, and always feel free to email me anytime if you have any questions. Also I encourage to come stop by and visit the day you come back even if it's not the regular day we meet.
 * Plagiarism:** Academic honesty and integrity should be upheld at all times. Plagiarism will be dealt with according to school policy. If you have any remaining questions, please feel free to ask me.
 * Assignments:** Assignments are to be completed fully and will be collected at the beginning of class. If there is a question on the homework that you, as students, have, then I will be more than happy to answer these. Homework is part of the participation grade and won't always be collected, but will periodically be checked. Doing the homework is your responsibility to practice the material in order to do well.
 * Late Work Policy:** 10 points will be deducted for each day an assignment is late. When it comes to late work discuss things ahead of time and we can make arrangements because I understand as High School students you all have a million things going on.
 * Classroom Expectations:** On time, be prepared for class (homework completed, pencil, binder, calculator, whatever you need for class), a positive attitude, and to have fun. Enjoy being here!

=Benchmarks= • **Tumblelog (25):** Create a blog that demonstrates an understanding of factoring and a place where students can view and ask questions. Each student will work on creating their own blog so they can share their homework questions and their work. However, I will put students in groups of three based on their confidence in using a blog and the group members will be student's first go to for help on their blog. • **Prezi (50):** Create a presentation using Prezi to show how to evaluate an expression by factoring. Prezi will work really well for students who are visual and logical-mathematical learners. The Prezi will show how to factor out and solve in a step-by-step manner and visuals will add to the group presentation. • **Movie (100):** Make a fully digital lesson, that teaches with just the click of the play button. Students will be in groups on this project. A movie gives students a really cool opportunity to be creative and often add story telling to their project to make it fun and relate the math to a wide variety of learners. Students can also edit themselves doing their math where they aren't on the spot like in an oral presentation. All students can play a role and be a movie star! • **Comic Life (25):** Create a fun comic to show an understanding of how to use the quadratic formula. Comic's are often my favorite and students get to be very funny if they'd like and it helps the students learn the math really well, because they love making an application to a story. Apply math to the real world is reaching towards a good understanding of the material! • **Glogster (50):** Create a digital poster to relate exponential functions with the properties of exponents. Glogster is a really cool program which allows students to make a digital poster that is much more involved than the traditional paper poster. Students will can be creative, very visual, and perhaps naturalistic with their project if they wish. Glogster will be created in groups as well. • **Product of choice! (50):** Using any of the type II technology products we have used in previous lessons or using a product that the students feel would fit the project well to show their understanding of exponential growth and/or decay in the real world. This project the students will be in groups of 3. Groups for this project are going to based on their product of choice. I will have the students write down 3 products they would like to use for this project in order with their preference being the first. Then I will make groups of three, grouping students based on what products they want to make. This will be a fun open-ended project with many different products demonstrating an understanding of growth and decay!
 * 500 Points**


 * Exams (1) (50):** We will have two exams. Students will know exactly when they are and will definitely have lots of time to prepare! Its often the best way for some students to show their understanding of the material.
 * Participation (150):** Being an attentive and on time student. Homework, which I won't collect every day, but will on occasion! Homework is for students to practice and learn the material and I think it's a very important part of learning math. Also we will have quick quiz's that will count for a few points to check for understanding. These quiz's are given to help students do well and they should boost their grade!

=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).