Course Syllabus 2014-2015 Teacher Name Connie Madden Teacher Email maddenc@ltisdschools.org Classroom Phone 512-533-5646 Course Title Algebra 1 Honors Grade Level 8th Grade Type of Course Pre Advanced Placement Course Description Algebra I – Honors is a two term (1 credit) course which strengthens the student’s ability to formulate and analyze algebraic problems. Topics include linear functions, quadratic functions, the relationship between equations and functions, rational expressions, and symbolic reasoning, interpretations of algebraic outcomes. It is differentiated from the core curriculum in middle school through pacing, high school level concepts and credit towards high school graduation. This is NOT a middle school course and therefore should NOT be compared to the rigor of other middle school courses. It is also required that algebra students will be taking a state end of course exam. Major Learner Outcomes Consider TEKS Students will be expected to master the Texas Essential Knowledge and Skills as set forth on the TEA website, and as tested on the STAAR exam toward the end of the school year. STAAR Algebra I Assessment Reporting Category 1: Functional Relationships The student will describe functional relationships in a variety of ways. (A.1) Foundations for functions. The student understands that a function represents a dependence of one quantity on another and can be described in a variety of ways. The student is expected to (A) describe independent and dependent quantities in functional relationships; Supporting Standard (B) gather and record data and use data sets to determine functional relationships between quantities; Supporting Standard (C) describe functional relationships for given problem situations and write equations or inequalities to answer questions arising from the situations; Supporting Standard (D) represent relationships among quantities using [concrete] models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities; and Readiness Standard (E) interpret and make decisions, predictions, and critical judgments from functional relationships. Readiness Standard Reporting Category 2: Properties and Attributes of Functions The student will demonstrate an understanding of the properties and attributes of functions. (A.2) Foundations for functions. The student uses the properties and attributes of functions. The student is expected to (A) identify and sketch the general forms of linear (y = x) and quadratic (y = x2) parent functions; Supporting Standard (B) identify mathematical domains and ranges and determine reasonable domain and range values for given situations, both continuous and discrete; Readiness Standard (C) interpret situations in terms of given graphs or create situations that fit given graphs; and Supporting Standard (D) collect and organize data, make and interpret scatterplots (including recognizing positive, negative, or no correlation for data approximating linear situations), and model, predict, and make decisions and critical judgments in problem situations. Readiness Standard (A.3) Foundations for functions. The student understands how algebra can be used to express generalizations and recognizes and uses the power of symbols to represent situations. The student is expected to (A) use symbols to represent unknowns and variables; and Supporting Standard (B) look for patterns and represent generalizations algebraically. Supporting Standard (A.4) Foundations for functions. The student understands the importance of the skills required to manipulate symbols in order to solve problems and uses the necessary algebraic skills required to simplify algebraic expressions and solve equations and inequalities in problem situations. The student is expected to (A) find specific function values, simplify polynomial expressions, transform and solve equations, and factor as necessary in problem situations; Readiness Standard (B) use the commutative, associative, and distributive properties to simplify algebraic expressions; and Supporting Standard (C) connect equation notation with function notation, such as y = x + 1 and f (x) = x + 1. Supporting Standard Reporting Category 3: Linear Functions The student will demonstrate an understanding of linear functions. (A.5) Linear functions. The student understands that linear functions can be represented in different ways and translates among their various representations. The student is expected to (A) determine whether or not given situations can be represented by linear functions; Supporting Standard (B) determine the domain and range for linear functions in given situations; and Supporting Standard (C) use, translate, and make connections among algebraic, tabular, graphical, or verbal descriptions of linear functions. Readiness Standard (A.6) Linear functions. The student understands the meaning of the slope and intercepts of the graphs of linear functions and zeros of linear functions and interprets and describes the effects of changes in parameters of linear functions in real-world and mathematical situations. The student is expected to (A) develop the concept of slope as rate of change and determine slopes from graphs, tables, and algebraic representations; Supporting Standard (B) interpret the meaning of slope and intercepts in situations using data, symbolic representations, or graphs; Readiness Standard (C) investigate, describe, and predict the effects of changes in m and b on the graph of y = mx + b; Readiness Standard (D) graph and write equations of lines given characteristics such as two points, a point and a slope, or a slope and y-intercept; Supporting Standard (E) determine the intercepts of the graphs of linear functions and zeros of linear functions from graphs, tables, and algebraic representations; Supporting Standard (F) interpret and predict the effects of changing slope and y-intercept in applied situations; and Readiness Standard (G) relate direct variation to linear functions and solve problems involving proportional change. Supporting Standard Reporting Category 4: Linear Equations and Inequalities The student will formulate and use linear equations and inequalities. (A.7) Linear functions. The student formulates equations and inequalities based on linear functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation. The student is expected to: (A) analyze situations involving linear functions and formulate linear equations or inequalities to solve problems; Supporting Standard (B) investigate methods for solving linear equations and inequalities using [concrete] models, graphs, and the properties of equality, select a method, and solve the equations and inequalities; and Readiness Standard (C) interpret and determine the reasonableness of solutions to linear equations and inequalities. Supporting Standard (A.8) Linear functions. The student formulates systems of linear equations from problem situations, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation. The student is expected to (A) analyze situations and formulate systems of linear equations in two unknowns to solve problems; Supporting Standard (B) solve systems of linear equations using [concrete] models, graphs, tables, and algebraic methods; and Readiness Standard (C) interpret and determine the reasonableness of solutions to systems of linear equations. Supporting Standard Reporting Category 5: Quadratic and Other Nonlinear Functions The student will demonstrate an understanding of quadratic and other nonlinear functions. (A.9) Quadratic and other nonlinear functions. The student understands that the graphs of quadratic functions are affected by the parameters of the function and can interpret and describe the effects of changes in the parameters of quadratic functions. The student is expected to (A) determine the domain and range for quadratic functions in given situations; Supporting Standard (B) investigate, describe, and predict the effects of changes in a on the graph of y = ax2 + c; Supporting Standard (C) investigate, describe, and predict the effects of changes in c on the graph of y = ax2 + c; and Supporting Standard (D) analyze graphs of quadratic functions and draw conclusions. Readiness Standard (A.10) Quadratic and other nonlinear functions. The student understands there is more than one way to solve a quadratic equation and solves them using appropriate methods. The student is expected to (A) solve quadratic equations using [concrete] models, tables, graphs, and algebraic methods; and Readiness Standard (B) make connections among the solutions (roots) of quadratic equations, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function. Supporting Standard (A.11) Quadratic and other nonlinear functions. The student understands there are situations modeled by functions that are neither linear nor quadratic and models the situations. The student is expected to (A) use patterns to generate the laws of exponents and apply them in problem-solving situations; Supporting Standard (B) analyze data and represent situations involving inverse variation using [concrete] models, tables, graphs, or algebraic methods; and Supporting Standard (C) analyze data and represent situations involving exponential growth and decay using [concrete] models, and tables. Scope and Sequence of Units 1. List for each semester or full term course 2. Indicate each 9 week interval. 3. Indicate all major projects, research papers, presentations, and performances. 4. Indicate major assessments (performance based, portoflios, written tests, etc.) First Semester: The Study of Functions Second Semester: Investigating Linear Functions, Linear Functions and Applications, and Systems of Linear Equations Third Semester: Exponents and Polynomial Operations, Quadratic Functions and Quadratic Equations Applications Fourth Semester: Inverse Variations, Growth and Decay-Exponential Functions and “Tying It All Together” Testing of these concepts will be through CBA's, Chapter Tests, and EOC. Textbooks and Other Major Resources Algebra I Textbook and workbook: Holt, Rinehart, & Winston. An on-line version is accessible through my.hrw.com Grading Policy Term Grade: 10% Homework 30% Daily Average (Assignment grades, Quizzes, and Class participation) 60% Test Average (Tests and Projects) Semester Grade: 40% Average of first nine week term 40% Average of second nine week term 20% Semester Exam Testing Policy Tests are given in the style of an AP test. They will usually include both multiple choice and free response questions, and students MUST finish in the time period given in class. There are NO retests in honors courses. When a student is absent for an exam, he/she needs to speak with the teacher upon return to schedule a make-up exam. If you are absent the day before a test, you will still be expected to take the test upon the day of your return. Relevant Reading and Vocabulary Lists All vocabulary will be found in each chapter of the textbook. Tutoring Times Before school from 8:15 to 8:40. After school by appointment. Homework Policy Daily Assignments: Daily work will be assigned each class period and will be discussed during the following class. Credit for daily work will be given in one of the following methods: Teacher and/or student grading Completion grades Daily work quizzes Student participation Late Work: NO LATE WORK IS ACCEPTED! This is a high school level course and we follow the high school grading policies. Makeup Work (Class work and Daily Assignments): Make-up work due to absences will be handled according to school policy (refer to the student handbook to review this policy). In the case of an absence, it is the student’s responsibility to turn in any work, get any work to do, and make arrangements for a missed quiz or test. Make-up tests and quizzes will ONLY be done before or after school. Any handouts will be in the in class file system or attached to the White team calendar. **If you turn in absent work, please be aware that it will take time to reflect this change on-line.** Conference Period 11:24am to 12:12pm Discipline Plan The discipline policy is aligned with the plan outlined in the LTISD Student Handbook.