Honors Algebra I /2008 Whitney Young Magnet High School (773) ext

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1 Honors Algebra I /2008 Ms. Gandhi Whitney Young Magnet High School (773) ext mathgandhi@yahoo.com COURSE SYLLABUS COURSE Honors Algebra I. This course emphasizes development of skills, techniques, and applications that deal with number relations, linear equations, formulas, polynomials, graphing, systems of equations, and probability. Additional content will include techniques of evaluating and simplifying algebraic expressions, the solving of quadratic equations, and methods of factoring. CREDIT and PREREQUISITES One-half credit per semester. No prerequisites. LEARNING OBJECTIVES and EXPERIENCES The student will: A. Demonstrate and apply a knowledge and sense of numbers, including basic arithmetic operations, number patterns, ratios and proportions; B. Estimate, make, and use measurements of objects, quantities, and relationships, and determine acceptable levels of accuracy; C. Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems, and predict results; D. Use geometric methods to analyze, categorize, and draw conclusions about points, lines, planes, and space; and E. Collect, organize, and analyze data, using statistical methods to predict results and interpret uncertainty and chance in practical applications. COURSE OUTLINE SEMESTER 1 Operations, Variables, and Formulas Operate with integers, fractions, and their properties Translate literal expressions (consecutive integers, etc.) Simplify and evaluate numerical and algebraic expressions Evaluation of formulas in real situations including perimeter, area, and volume Use graphs to describe intervals Use ratios and proportions in problem solving Order of operations Recognition of properties including the Zero, Associative, Commutative, and Distributive Recognition of equivalent expressions and equations Solving Algebraic Equations and Functions Literal equations Variables, equations, and constants Identify and apply properties of addition, subtraction, multiplication, and division, used in solving equations and inequalities Graph solutions to inequalities on a number line Solve problems using proportions and percents in real situations Calculate absolute values Linear Sentences Use integral, decimal, and fractional coefficients Solve linear equations and inequalities for one variable Apply and recognize properties of equality associated with linear problems Solve linear equations in multiple contexts including taxes, discounts, simple interest, and commissions 4 weeks SG 6 SG 7 SG 10 4 weeks SG 6 SG 7 3 weeks SG 7 SG 8 1

2 Solve linear equations and inequalities involving absolute value Sets Interpret set notation Find union and intersection of sets Use Venn diagrams to describe intersection and union of sets Real Numbers, Radicals, Exponents and Powers Investigate the number system Real, rational, irrational, integers, whole, natural, etc. Evaluate integral powers of real numbers Simplify exponential expressions Identify and use properties of exponents Solve problems involving compound interest, exponential growth and decay Conversions Evaluate and simplify radicals and operations involving radicals Evaluate and simplify numeric and algebraic expressions involving squares and square roots Solve equations involving squares and square roots Use square and square roots in measurement problems, calculating distances in a plane, and finding the lengths of sides of figures Rationalize the denominator Geometry Connection Find the measure of the supplement or complement of an angle, and use the triangle inequality property and triangle angle interior angle sum in real situations Probability and Statistics Recognize, describe, and extend numerical patterns using words and equations Basic series and sequences Calculate mean, median, mode, probability, and frequency Understand and use simple vocabulary of probability: experiment, outcome, event, probability, complement, mutually exclusive events, independent events, with and without replacement Use scattergrams and histograms to record and interpret data, and predict reasonability of results Know and use the fact that the total probability of all mutually exclusive outcomes of an event is 1 Given the probabilities of events A and B, find the probability of A or B, A and B, and A followed by B Calculate the probability of an event involving variables Calculator Skills 1 week SG 6 2 weeks SG 6 SG 8 SG 9 2 weeks SG 10 Throughout semester First Semester Examinations Final Exams All EXPLORE Freshmen PLAN Sophomores PSAT Sophomores and Juniors SEMESTER 2 Graphing Functions on a Coordinate Plane Identify functions Describe functions using a variety of methods, including input-output tables, ordered pairs, and set notation Describe and state domain and range of functions Plot points and graph lines on both graph paper and graphing calculators Recognize, write, and rewrite linear equations in standard, point-slope, and slopeintercept forms Use tables and slopes (rates of change) to determine the ordering of pairs 2 6 weeks Begin 1 st Semester SG 7 SG 8 SG 9 SG 10

3 Graph linear inequalities Recognize the effect of changing the slope and/or y-intercept of a line Interpret the meaning of the slope as to classify a line as horizontal, vertical, positive (rising), and negative (falling) Use the slope to classify lines as parallel, perpendicular, or neither Identify the components of a function including x- and y-intercepts and slope Derive the linear equation(s) based upon a graph Polynomials Perform operations on polynomials Factor polynomials completely using techniques such as removing common monomials Identify and use perfect square trinomials, difference of squares, etc. Use Zero Property to solve equations Translate real situations into polynomials Represent areas of figures in terms of polynomials Perform operations with algebraic fractions Quadratic Functions Solve quadratic equations using the quadratic formula Recognize the properties of quadratic equations Evaluate and use the discriminant to determine nature of roots Graph parabolas Use quadratic equations to solve real world problems Systems of Equations and Inequalities Solve systems using graphing, substitution, addition, and multiplication Determine the nature and number of solutions to a given system Calculate and use weighted averages (coins, mixtures, motion, work) Solve real world problems involving linear combinations Graphically represent solutions to systems of linear equalities and inequalities Calculator Skills 3 weeks SG 6 SG 8 SG weeks SG 6 SG weeks SG 8 Throughout semester Second Semester Examinations Final Exams June All Prairie State April Juniors TAP - May Length of time per topic is approximate. Sequence of topics may change. Additional topics may be included. COURSE MATERIALS You are to bring your binder (with dividers or tabs), loose-leaf paper and a pencil to class everyday. Additional materials include a ruler (Metric/standard) and a graphing calculator (a TI-83 Plus, TI-83 Plus Silver, TI-84 Plus, TI-84 Plus Silver are highly recommended models engraving will be done by Ms. Gandhi). Students who are not familiar with the mathematical capabilities of their calculators should bring their Owner s Manual with them. A calculator case protects a calculator in a backpack. Please cover the textbook with a book cover. Lost textbooks must be paid for with cash or a money order before a replacement textbook is issued. 3

4 COURSE OVERVIEW COURSE FORMAT The format of this course is lecture, discussion, individual participation, and cooperative groups. COURSE SUCCESS In order to be successful in this course, students are expected to: - contribute daily in the classroom to the learning of mathematics in a positive manner; - ask for help as needed - do homework for this course and others at home; - participate as a group member in all cooperative group settings such as projects and activities; and - take daily notes. COURSE RULES ATTENDANCE Regular and punctual attendance is required, as excessive absences, cuts, and tardies have a detrimental effect on student achievement. You are expected to be in your seat before the tardy bell rings as to begin daily lessons. School policy regarding attendance and tardiness will be enforced. If you are absent from class, your name must appear on the Absence Bulletin in order for your absence to be excused. It is your responsibility to clear up any discrepancies about absences with the Attendance Office outside of class time. If you become ill or have to leave for an appointment during the school day, you must obtain an Early Dismissal (ED) from the Attendance Office. If you want to be excused for an activity or field trip, you must ask for my permission prior to the event. Participation in an out-of-classroom event does not excuse the student from exams, tests, quizzes, assignments, or concepts covered. Do not visit your counselor or another teacher during class time. Exams, tests and quizzes missed because of an excused absence must be made up on the designated Make-Up Day. Homework and projects due on the day of an excused absence must be handed in the day you return. Homework assigned on the day of your excused absence is due within two days after your return, in addition to the regular nightly homework. Homework assigned on the day of an out-of-classroom event is due the day you return. All POWs must be turned in on or before Tuesday. If a student misses the class before an exam, test, or quiz, the student will take the assessment with the class. An unexcused absence will result in 0 points on any work, activity, project, quiz, test, exam, etc. due or given on that day. If you are late to class and enter an ongoing quiz or test, no additional time will be allotted. If you completely miss a quiz due to a tardy, 0 points will be recorded. CLASS BEHAVIOR The rights of others will be respected at all times. Courtesy should be demonstrated towards both fellow classmates and the teacher. Disruptive or inappropriately attired students will be sent to the Dean of Students. School rules, the contents of the Student Handbook, and the Uniform Discipline Code shall be followed and enforced. REMEMBER No eating or drinking in the classroom. No caps, hats, jackets, coats, sunglasses, Walkman-type portable radios, ipods, CD players, tape recorders, hand-held pocket video games, cell phones, 4

5 pagers, or other similar electronic devices should be brought into or worn in the classroom. Items such as these only detract from the learning environment. GRADE DETERMINATION and CATEGORY DESCRIPTIONS Total Grade Breakdown HW, Binder, Activities - 20% POWs - 15% Tests - 50% Grading Scale: A % B 82-91% C 75-81% D 74-70% F 69-0% Quizzes - 15% Grade categories include examinations (50%), quizzes (15%), activities, projects, presentations, binder checks and daily homework (20%), and Problems of the Week hand in homework (15%). EXAMINATIONS All tests will be announced. QUIZZES Short quizzes will be given throughout the course and may not always be announced. ACTIVITIES, PROJECTS, AND PRESENTATIONS There will be short-term and long-term projects interspersed throughout the semesters. Rubrics will be provided for long-term projects. Many of the activities and projects will only be posted to Edline, and not distributed in class. Students without computer/printer/internet access at home should obtain these materials from Edline at the Tech Center or their neighborhood library. Please obtain a current library card if you do not have one at this time. BINDERS Student binders/notebooks are collected and graded quarterly. Students are expected to neatly keep their daily notes, make corrections to their homework, and maintain all graded papers per quarter. Your binder must include dividers. Make sure your name is printed either on the cover of your binder or on the inside cover. You must include, but are not limited to, the following divided sections: 1. Notes and in-class assignments 2. Homework assignments (daily book homework) 3. Assessments (quizzes and tests) 4. POWs (original questions and graded answers) 5. Forms, Project work and notes (Course Syllabus and general handouts) 5

6 You can purchase a binder for approximately $ $3.00 at Office Depot or Target (please use the 5% Back to Schools Program by mentioning our school s ID: ). Be sure to purchase a binder with at least 1 rings and tabbed dividers. The binder must be purchased and used by Friday, September 14 th. HOMEWORK Problems of the Week are assigned on Tuesday and are due the following Tuesday. Your solutions and final answers to these problems should be clearly labeled and neatly written in pencil on loose-leaf paper. Credit will be given to each graded POW based upon demonstrated effort, work completed, answer, figures, and constructions. To encourage students to manage their time, 2 points extra credit is given on POWs when turned in prior to the due date. No credit will be given for homework that does not show work. Homework will not be accepted after the collection at the beginning of the class period. (No late work! No I forgot it in my locker or other book!) Your heading on the upper-right hand corner of the paper should look as follows: Your Name H Algebra 1 Due 9/04/07 Period # Other homework is assigned daily and may include combinations of written exercises, reading, research for projects, project preparation, and review for assessments. These assignments may be collected, spot checked, or partner checked on a daily basis. CHEATING/COPYING OF OTHERS WORK/PLAGARISM will result in a zero grade for the event. ADDITIONAL PROGRESS REPORTS School generated progress reports are mailed home for all of my students with the grade calculated at the 5 th and 15 th weeks of a semester. Parents are encouraged to utilize Edline. GENERAL INFORMATION If you do not understand something, ask questions in class. Also, after school math tutoring is available through National Honor Society. If you need additional help, schedule time to meet with me. I am available in Room 275 from Monday through Thursday for Academic Center tutoring during 8 th period. Students are strongly encouraged to try out for our MathCounts team. Interested students should speak to me. OF SPECIAL NOTE TO PARENTS Parents with questions are encouraged to contact me. I teach 2 nd, 3 rd, 4 th, 6 th and 7 th periods in Room 275. The best method is by mathgandhi@yahoo.com Please attend the Parent Back-to-School Night on Thursday, September 20, STUDENTS SHOULD RETAIN PAGES 1-6 IN THEIR BINDERS FOR THE ENTIRE SCHOOL YEAR AND REFER TO THEM AS NEEDED. 6

7 HONORS ALGEBRA I Period First Initial of Last Name Return this page to Ms. Gandhi by Friday, September 7th. This completed page will be your first grade in this class. FOR THE SCHOOL YEAR My child has shown me the Course Syllabus and the Course Overview for Honors Algebra I taught by Ms. Gandhi. We have discussed the importance of their contents. Student Name Printed Student Signature Period Date Parent Signature Date Daytime telephone number: Parent s Student s MATHEMATICS TECHNOLOGY SURVEY Calculator Computer Access [] None at home [] No calculator [] At home [] Scientific calculator (non-graphing) Printer Access Brand/Model [] None at home [] At home [] Graphing calculator Brand/Model Internet Access [] None at home [] At home 7