Nancy Wilson Chang changn@edmonds.wednet.edu 425.431.4616 Algebra 1 Approximate Grade Level: 7th - 9th T/Th 10:00 AM – 10:55 AM Course Description: Algebra 1 is the foundation for high school mathematics courses. It is the bridge from the concrete to the abstract study of mathematics. This course focuses on generalizing the algorithms of arithmetic to learn how to develop equations and mathematical formulas to simulate real-life problems and solve them through mathematical manipulation. Topics include simplifying expressions, evaluating and solving equations and inequalities, and graphing linear and quadratic functions and relations. Students may access additional open lab times as needed. Students are expected to complete weekly homework assignments, approximate grade levels 7-9. Prerequisite: Middle School Math, PreAlgebra, or equivalent. Progress/Evaluation Methods: Students will build a Math Portfolio of components demonstrating their learning, including class work, homework, sketches, notes, worksheets, tests, quizzes, and progress reports. Students, parents and instructor will use the Math Portfolio of student work to assess student learning and progress. Students will regularly monitor their own progress through status-checks on the accumulation and quality of work in their individual portfolios. Students will participate in class work, discussions, and review, with opportunities to make adjustments to their own work. Credits: Students successfully completing this yearlong course with a score of 80% or higher are eligible for a 1.0 Algebra 1 high school credit. Additional WSLP documented learning components are not required to receive credit for this course. Resources: Textbook provided: McDougal Littel - Algebra 1 Classroom supplies: special paper such as graph paper, worksheets, mathematical games and puzzles, and classroom computers. Students supply their own graphing or basic calculator, notebook, pencils, erasure, paper, and ruler. Course Goal: Students will understand and apply the concepts and procedures of Algebra 1, through the study and practice of the following objectives, which are derived from the Algebra 2 Performance Expectations of the Washington State K-12 Mathematics Learning Standards: http://www.k12.wa.us/mathematics/Standards.aspx and the Common Core Mathematics Standards: http://www.corestandards.org/Math/ Objectives: 1. Students will solve problems represented by linear, quadratic, and exponential functions, equations, and inequalities. Nancy Wilson Chang Mathematics Edmonds Heights K-12 2015-16 2. Students will compare and order real numbers; evaluate algebraic expressions; interpret and use exponents, square and cube roots; use algebraic properties to factor and combine like terms in polynomials; and add, subtract, multiply, and divide polynomials. 3. Students will determine and identify relationships as functions; represent functions with symbolic expressions, graphs, and tables; and evaluate functions and solve for x in equations. 4. Students will write and solve linear equations and inequalities in one variable; graph linear equations given the slope and y-intercept and/or point(s) on the line; identify and interpret the slope and intercepts of a linear function, including equations for parallel and perpendicular lines. 5. Students will represent quadratic functions with symbolic expressions, graphs, and tables; sketch graphs and models of quadratic functions; solve quadratic equations that can be factored as (ax+b)(cx+d) where a, b, c, and d are integers. 6. Students will analyze problem situations and represent them mathematically; select and apply strategies to solve problems; evaluate solutions for reasonableness; verify accuracy; interpret solutions in context; generalize solution strategies; read and interpret diagrams, graphs, and text containing symbols, language, and conventions of mathematics; summarize mathematical ideas; synthesize information to draw conclusions; evaluate the arguments and conclusions of others; use inductive and deductive reasoning. Activities: Lesson overviews, Logic applications, Forensic applications, Problem solving, Projects, Games and puzzles, Cooperative learning, Experiential learning, Mathematical modeling, Computers, Discussion, Textbook assignments, Homework Instructor - Class Website: Visit Nancy Chang’s site: themathvortex.com for News, Instructional Videos, Lessons, Homework Assignments, Course Descriptions, Class Schedule, and Instructor bio and contact information. Nancy Wilson Chang Mathematics Edmonds Heights K-12 2015-16