Kamehameha Schools Maui High School Hawaiian leaders prepared for college and a global society Algebra II 1.0 Credit – Year Even/Odd Mrs. Brandy M. Cajudoy Tuesday, Thursday, and Fridays brcajudo@ksbe.edu 2:30 – 3:30 ph: 573-7258 http://blogs.ksbe.edu/brcaj Room: Kekaulike X-223 udo/ Office Days/Hours: Prerequisites: Geometry and Teacher Recommendation Course focus: This course will focus on (1) polynomial, rational, and radical relationships; (2) trigonometric functions; (3) modeling with functions; and (4) inferences and conclusions from data. Student Learning Outcomes: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and express regularity in repeated reasoning. (Indiana Common Core Standards for Mathematics) General course description: This second year of algebra is a course that extends the content of Algebra I and provides further development of the concept of a function. Topics include: (1) complex number system; (2) seeing structure in expressions; (3) arithmetic with polynomials and rational expressions; (4) reasoning with equations and inequalities; (5) trigonometric functions; (6) creating equations; (7) interpreting functions; (8) building functions; (9) linear, quadratic, and exponential models; (10) interpreting categorical and quantitative data; (11) making inferences and justifying conclusions; and (12) using probability to make decisions. Students will work with data, real world situations and applications where investigations will precede the introduction of formulas and expressions. Extensive use of the graphing calculator for class and homework assignments requires students to have their own graphing calculators. Texts and resources: Algebra II: The Carnegie Learning, Carnegie Learning, Inc., 2008 Replacement Cost $35 Texas instruments: TI-84 Plus graphing calculator Replacement Cost $117 Algebra II: Carnegie Learning: Cognitive Tutor (online computer software) 2012-2013 Syllabus Kamehameha Schools Maui High School Hawaiian leaders prepared for college and a global society Blackboard: Algebra II online class http://bb.ksbe.edu (resource) Cajudoy’s Mathematics Blog http://blogs.ksbe.edu/brcajudo/(resource) Course outline: Category The Complex Number System What will this cover? Perform arithmetic operations with complex numbers; and Use complex numbers in polynomial identities and equations. Seeing Structure in Expressions Arithmetic with Polynomials and Rational Expressions Reasoning with Equations and Inequalities Interpreting Functions Trigonometric Functions Creating Equations Building Functions Linear, Quadratic, and Exponential Models Interpreting Categorical and Quantitative Data Making Inferences and Justifying Conclusions Using Probability to Make Decisions Interpret the structure of expressions; and Write expressions in equivalent forms to solve problems. Perform arithmetic operations on polynomials; Understand the relationship between zeros and factors of polynomials; Use polynomial identities to solve problems; and Rewrite rational expressions. Understand solving equations as a process of reasoning and explain the reasoning; and Represent and solve equations and inequalities graphically. Analyze functions using different representations; and Interpret functions that arise in applications in terms of the context. Extend the domain of trigonometric functions using the unit circle.; Model periodic phenomena with trigonometric functions.; and Prove and apply trigonometric identities Create equations that describe numbers or relationships. Build a function that models a relationship between two quantities; and Build new functions from existing functions. Construct and compare linear, quadratic, and exponential models and solve problems Summarize, represent, and interpret data on a single count or measurement variable Understand and evaluate random processes underlying statistical experiments; and Make inferences and justify conclusions from sample surveys, experiments, and observational studies. Use probability to evaluate outcomes of decisions (Indiana Common Core Standards for Mathematics) Grading: Assignments will be assessed as follows: Meets Expectations Exceeds Expectations Progressing to Expectations A A- 93 – 100% 90 – 92% 2012-2013 Syllabus B+ B BC+ C 87 83 80 77 73 – – – – – 89% 86% 82% 79% 76% Kamehameha Schools Maui High School Hawaiian leaders prepared for college and a global society CD+ D D- 70 67 63 60 – – – – 72% 69% 66% 62% Needs Improvement F Below 60% Grades will be weighted as follows: Attendance, participation, and work make-up policy: When an absence occurs it is the student’s kuleana to make arrangements to complete the work that was missed. You will have one day for everyday missed to make up all work. If the assignment or project was assigned in advance you will need to turn in when you return to school. Assignments are always posted in Blackboard http://bb.ksbe.edu and/or on my Blog http://blogs.ksbe.edu/brcajudo/. Participation in class when in a group is as follows: Student 1. Getting/Returning materials. Seeing that the steps of the activity are followed. Student 2. Making observations. Taking minutes as the activity progresses. Recording data. Student 3. Writing the group report. Student 4. Presenting information. Expected classroom behaviors: • Be in your assigned seat and work on the assigned seatwork when class starts. • Bring all books and materials to class and take them with you when you leave. • Follow directions the first time they are given. • Use appropriate language and treat each person in this room with respect and dignity. • Follow all procedures and policies as outlined in the KS – Maui student handbook and in this Category Weigh Examples classroom. Course Materials: To be brought to class daily: graph-paper for investigations college ruled folder paper for assignments 3 ring binder (1 inch) 5 dividers to organize paperwork Composition notebook pencils, erasers, ruler Colored pencils Use of Technology: Work is expected to be turned in on time with the use of technology being an asset to our learning experience and not a distraction. Computer and calculator use in the classroom will be for educational purposes and students are to use the computer or calculator assigned Investigation s t 40% Problem Solving 40% Computer work 10% Portfolio 10% 2012-2013 Syllabus Class activities, research, discussions, lecture notes, etc. Drill and Practice exercises, daily seatwork, final assessment, etc. Blackboard assignments, research, etc. Organization , Progress reports returned and other misc. items Kamehameha Schools Maui High School Hawaiian leaders prepared for college and a global society to them or their own graphing calculator. Please see the Textbook & Calculator Policies paper that is attached for more details. Tips for Success: 1. Stay Organized –Your Daily Planner is a useful tool to record your assignments as well as find useful information. Use a 3 ring binder to organize your work. This organized binder will be a good place to refer back to when studying for a test, evaluating your progress or putting together a portfolio. Keep your data and math work neat and organized. 2. Be Prepared - Come to class on time and ready to learn. You can do this by having your supplies and assignments ready to work at the start of class. 3. Communication is Key – Communication involves both talking and listening. Learn to listen to each other and be sure to ask for help if you need it. During group work, ask your group members first before asking the teacher. 4. Keep an open mind and positive attitude – Investigations are not always easy or straightforward. Don’t give up! Make a solid attempt on all exercises then ask questions and take notes during class discussions. 5. Take responsibility for your learning – Participate in class by asking questions or contributing to class discussions, complete homework on time and ask for help if you need it. 2012-2013 Syllabus