COURSE IDENTIFICATION: TITLE: Algebra 2 ROOM: A3127 INSTRUCTOR INFORMATION: NAME: Zenaida Ahumada PHONE: 938-0278 OFFICE: A3219 EMAIL: zahumada@rrps.net WEBSITE: school fusion address to come soon In the mean time www.orgsites.com/nm/ahumada http://my.hrw.com (Holt textbook online as well as tutorial videos and extra practice) Students will be given the username and password in class to access this information. PREREQUISITE: C or better in Algebra 1 or Transition to Algebra 2 TEXTBOOK: Algebra 2 (Holt, Rinehart, Winston) SUPPLIES: Notebook or Looseleaf Paper Graph paper Binder or Folder Pencils and pens Straight edge At least a Scientific Calculator COURSE DESCRIPTION: In this course students will continue their development of Algebra concepts. Students will continue to explore and develop their Algebra skills in the area of real numbers, imaginary numbers, equations and inequalities, linear, quadratic, exponential and logarithmic functions, rational and radical functions as well as graphing analysis. This course is highly recommended for the college-bound student, but is also important for a student considering technical type training at CNM or some other similar school. CRITERIA FOR EVALUATION: Quarter grade: Practice = 30% Assessment = 70% GRADING SCALE: Semester grade: Quarter 1 = 40% Quarter 2= 40% Final exam = 20% See the student handbook for descriptions of performance levels. A+ = 97-100 A= 93-96 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 = Performance below 60 COURSE EXIT STANDARDS: Upon successful completion of this course, students will meet the following proficiencies: Power Standard 1 (Benchmark 9-12.A.1.10) Solve radical equations involving one radical. Power Standard 2 (Benchmark 9-12.A.1.11) Describe the properties of rational exponents and apply these properties to simplify algebraic expressions. Power Standard 3 (Benchmark 9-12.A.1.13) Simplify rational expressions by factoring and reducing to lowest terms. Power Standard 4 (Benchmark 9-12.A.1.16) Factor polynomials of various types (e.g., difference of squares, perfect square trinomials, sum and difference of cubes). Power Standard 5 (Benchmark 9-12.A.2.3) Translate among tabular, symbolic, and graphical representations of functions and relations. 1 5/2011 Power Standard 6 (Benchmark 9-12.A.2.8) Graph a quadratic function and understand the relationship between its real zeros and the x-intercepts of its graph. Power Standard 7 (Benchmark 9-12.A.2.9) Graph exponential functions and identify their key characteristics as related to contextual situations. Power Standard 8 (Benchmark 9-12.A.3.1) Model real-world phenomena using linear equations and linear inequalities interpret resulting solutions, and use estimation to detect errors Power Standard 9 (Benchmark 9-12.A.3.3) Model real-world phenomena using exponential equations, interpret resulting solutions and use estimation to detect errors. Power Standard 10 (Benchmark 9-12.A.3.5) Solve applications involving systems of two equations in two variables. Ref.: New Mexico Content Standards, Benchmarks, and Performance Standards Reference Guide, Grades 9-12, 2009 COURSE OUTLINE: **The following table is only a guideline. Variations will be made as class needs warrant. ** WEEK 1-3 4 5-7 8 9 9-10 11 12 13 14 15 16 17-18 WEEK TOPICS FOR SEMESTER 1 (TEXTBOOK SECTIONS) Solve linear programming problems.(3.4) Using transformations to graph quadratic functions (5.1) Identify the vertex and axis of symmetry of a quadratic function. Find the maximum or minimum of the function. Find the domain and range. (5.2) Solve quadratics using the square root or factoring. (5.3) Solve quadratics by completing the square (5.4) Solve quadratics with complex roots. (5.5) Solve Quadratics using the quadratic formula. (5.6) Solve and graph quadratic Inequalities.(5.7) Operations with complex numbers (5.9) Identify a polynomial and its graph. (6.1) Multiplying polynomials (6.2) Dividing polynomials (6.3) Factoring polynomials (6.4). Review TOPICS FOR SEMESTER 2 1 2 3 4-5 6 7 8-9 10 Finding all zeros of a polynomial.(6.5, 6.6) Create a polynomial from the roots. (6.6) Describe general shape, including end behavior and identify local extrema of polynomial functions (6.7) Use the four basic operations with rational expressions. Identify excluded values. (8.2-8.3). Identify asymptotes, domain, range, intercepts, and holes of rational functions. Use the information to graph the function. (8.4) Solve rational equations. (8.5) Simplify radicals expressions and work with rational exponents (8.6) Graph radical functions and identify domain and range. Use transformations to graph radical functions. (8.7) Solve radical equations (8.8) Composition of functions (9.4) and Functions and their Inverses (9.5) 2 5/2011 POWER STANDARDS 5,6,8,10 4,5 POWER STANDARDS 1,2,3,5 5,7,9 11 12 13 13-14 15 16 17-18 Properties of Exponents (1.5) & Determine Exponential Growth or Decay (7.1) Inverses of relations and functions. (7.2) Convert between Exponential and Logarithmic Functions (7.3). Apply Properties to simplify or solve exponential/logarithmic functions (7.4) Solve exponential and logarithmic equations. (7.5) Graph exponential functions with the natural base, e. Simplify and solve natural logarithmic equations. (7.6) Transformations with exponential and logarithmic functions. (7.7) Model exponential & Logarithmic functions with curve fitting. (7.8) Review OTHER: 1. Attendance is a very important factor for student success in this class. 2. If you are not in class, it is your responsibility to get any missed assignments 3. Detailed progress reports are issued to each student 4.5 weeks into each quarter and at various times throughout the semester. 3 5/2011