Download MATH 087 - Seattle Central College

 Course Outline – Seattle Central Community College Course Prefix & No.: Title: Credits: MATH087 Foundations of Algebra 5 Division: Science & Math Maximum Class Size: 32 Program/Department: Mathematics Course length: Prerequisite(s): 11 weeks In last 3 years: MATH 081 with 2.0 GPA OR Placement Test Score. Total Contact Hours: 55 Mode(s) of Delivery: On campus self­contained, Hybrid Lecture: 55 (11 h. = 1 cr.) Lab: Clinical:
Other: Course Description Basic concepts of algebra that form a foundation for Intermediate Algebra. Topics include evaluating expressions, properties of variables, solving basic linear equations and inequalities, graphing lines in slope­intercept form, interpreting slope and intercepts, solving systems of linear equations by graphing, basic rules of exponents, basic rules of roots, solving simple quadratic equations, and basic polynomial arithmetic. Prereq: MATH081 with a minimum grade of 2.0 OR Placement Exam Score Learning Outcomes Course Competencies (Evidence of Learning): LEARNING OUTCOMES: Students will be able to: 1. Simplify and evaluate variable expressions and equations. [Think] [Connect] 2. Solve linear equations in one variable.[Think][Connect] 3. Graph linear equations, identify, calculate and interpret the slope and y­intercept of a line. [Think][Connect] 4. Apply linear equations and graphs in various contexts to solve systems of linear equations.[Think] [Communicate][Connect] 5. Simplify single variable expressions using basic rules of exponents and radicals. [Think][Connect] 6. Solve simple quadratic equations using square root principle. [Think][Connect] 7. Graph parabolas by plotting points.[Think][Connect] 8. Simplify and evaluate single­variable polynomials. [Think][Connect] 9. Apply rules of positive and negative exponents to write numbers in scientific notation. [Think][Connect] Program/Degree Outcomes This course addresses the following program or degree outcomes: Communication (Reading, Oral or Signed, Written, Other Forms of Expression) [Communicate][Collaborate] Students will explain the meaning of written work in different contexts and present oral, signed, written, or other forms of expression to increase knowledge, foster understanding, or promote change in other classmates or group members. The lessons in the course require different forms of communication on a regular basis. Critical Thinking, Inquiry and Analysis, and Problem Solving [Think][Connect] Students will explore issues, ideas, and data to define and articulate problems or to formulate hypotheses. They Analyze evidence to formulate
an opinion, identify strategies, develop and implement solutions, evaluate outcomes, and/or draw conclusions. Student will use critical thinking in all lessons, which are designed to promote this kind of thinking. Quantitative Literacy [Think][Connect][Collaborate] Students will reason and solve quantitative problems in a wide array of contexts and use quantitative evidence to develop and communicate sound arguments. All lessons seek to develop quantitative literacy by design. Information Literacy [Continue Learning] Students will identify, locate, and evaluate needed information in a complex and changing environment. Students will often go to other sources to provide context to the real world problems found in the curriculum. Technology Literacy [Continue Learning] Students will effectively and critically evaluate, navigate, and use a range of digital technologies. Students will use calculators and be exposed to the basic of spreadsheets to accomplish this. Collaboration [Collaborate] Students will work effectively with others to learn, complete tasks, and pursue common goals that shape, influence, and benefit the individual and/or society. Foundations and Skills for Life–long Learning [Continue Learning] Students will transfer previous learning to new situations, reflect on learning experiences, and initiate steps to apply effective learning strategies to improve and expand knowledge, skills, and competence. Elements of Productive Persistence are written into the lessons to help students with effective strategies development. Topical Outline and/or This course covers the following topics: Major Divisions 1. Variables and Equations ● Variables ● Algebraic expressions ● Equations and graphs ● Solving equations 2. Linear Equations ● Signed numbers ● Algebraic expressions ● Graphs of linear equations ● Linear equations and inequalities ● Like terms 3. Graphs of linear Equations ● Intercepts (setting x,y=0, not with standard form) ● Ratio and proportion ● Slope ● Slope­intercept form (no standard form or point­slope form) ­ find the equation in slope­intercept form given (i) m and b, (ii) m and a point, or (iii) two points.) 4. Applications of Linear Equations ● Distributive law ● Systems of linear equations (only by graphing or if both are of the form y=mx+b) 5. Exponents and Roots ● Exponents (basic concepts) ● Square roots and cube roots 6. Quadratic Equations ● Extracting roots of the form ax^2+c=0 (only) ● Graph a parabola by plotting points 7. Polynomials ● Basic terminology of polynomials ● Basic tasks with polynomials (evaluate, simplify, add and subtract, multiplication using distributive property) 8. More on Exponents and Roots ● Basic laws of exponents ● Negative exponents and Scientific Notation Distribution Area Additional Information Use of scientific calculator is expected but at the discretion of the instructor. Instruction is to focus on developing conceptual as well as algorithmic fluency. BASIC foundational ideas are the heart of this course,
NOT unnatural computational complexity. The use of realistic applications is emphasized over contrived applications, where possible. None CAC Use Only Special Designation (s) Outline created by: Lawrence Morales
SCCC Math Dept Approval: SCCD District Approval: Date: February 2015