Revised Fall 2013 Syllabus for Learning Support Mathematics MATH 0810 Catalog Description: This course is a study of the properties of the real number system, arithmetic operations with rational numbers and order of operations; evaluation and simplification of variable expressions; solutions of linear equations and linear inequalities in one variable; graphing linear equations and inequalities; solving systems of linear equations and inequalities; problem-solving; polynomial arithmetic; operations with integer exponents; GCF factoring. 3 semester credit hours. Required Supplies: MyLab/Mastering Access Code; Scientific Calculator Recommended Supplies: Beginning & Intermediate Algebra, Martin-Gay, 5th edition Optional Supplies: Headphones or ear buds; Student’s Solutions Manual Student Group for Who Course is Required/Intended: Students with appropriate ACT or Compass scores. Placement and Grading: Students with appropriate ACT or Compass scores will be placed into MATH 0810. Students will receive a passing grade in MATH 0810 only after proving mastery in all five (5) MLS competencies. This may be done in either of two ways. The student may take a pre-test for MLS Competency 1. If the student passes this pre-test then mastery of MLS Competency 1 will be recorded in Banner and they will be allowed to attempt the pre-test for MLS Competency 2. The starting point for doing homework and taking post-tests begins at the point where the student does not pass the pre-test. Students will be allowed only one attempt on any pre-test, but may attempt post-tests as many times as needed. The minimum score required to pass pre-tests and post-tests is 70%. Students who pass either the pre-tests or post-tests in all five MLS Competencies will earn a grade of at least “C”. The overall grading formula is as follows: Grade for MATH 0810 = .60(Test Average) + .25(Homework) + .15(Attendance) A 90-100% B 80-89% C 70-79% F Below 70% IP In Progress Notes of Interest: Students will not be allowed to use a calculator of any kind while taking pre-tests or post-tests for MLS Competency 1. Students will not be allowed to use a graphing calculator while taking any pre-test or post-test. Students will not be allowed to use cell phone calculators or laptop computers while taking any pre-test or post-test.Mathematics Learning Support Competencies MLS 1 Real Number Sense and Operations MLS 2 Operations with Algebraic Expressions MLS 4 Solve Equations MLS 3 Analyze Graphs MLS 5 Modeling and Critical Thinking MLS 1 Real Number Sense and Operations 1.1 Apply the order of operations to evaluate expressions. 1.2 Perform operations with rational numbers Determine the other equivalent forms of the number when given a fraction, decimal number, or percent. 1.3 Identify and calculate with irrational numbers (no need to numerically simplify radical expressions) 1.4 Recognize and apply magnitude (absolute value) and ordering of real number. 1.5 Solve real-world application problems. Such as Solve problems involving percents. Determine the area and perimeter (or circumference) of a triangle, rectangle, and circle. Determine equivalent measure of length, weight or mass, volume, or time when given either customary or metric units of measurement. Write and compare numbers in standard and scientific notation Applications with volume, and surface area MLS 2 Operations with Algebraic Expressions (including polynomials) 2.1 Identify and simplify like terms 2.2 Evaluate algebraic expressions when given values for the variables. 2.3 Create a table of values from an expression. 2.4 Evaluate expressions involving powers and roots. 2.5 Use the distributive law to write equivalent expression. 2.6 Add, subtract and multiply polynomials. 2.7 Factor a polynomial using GCF only 2.8 Simplify an expression involving integer exponents using the rules for exponents. 2.9 Solve real-world application problems. MLS 4 Solve Equations (emphasis on linear equations/inequalities) 4.1 Solve a linear equation in one variable using multiple approaches - numerical, graphical, and symbolic. 4.2 Solve a linear inequality in one variable and graph the solutions. 4.3 Solve formulas and literal equations for a specified variable 4.4 Solve proportions that simplify to linear expressions 4.5 Solve real-world application problems ( including applications with volume, and surface area) MLS 3 Analyze Graphs (emphasis on linear functions and graphs, including inequalities) 3.1 Create a table of values and a graph for a given relations (may not be linear) 3.2 Identify and interpret rate of change 3.3 Use and interpret function notation particularly as it relates to graphic and tabular data 3.4 Analyze the graph of a linear function identifying the x-intercepts, y-intercepts, and slope. 3.5 Graph a linear equation in two variables using ordered pairs, using the x-intercept and the y- intercept, and using the slope and the y-intercept. 3.6 Write a linear equation in two variables when given information about their graphs 3.7 Graph linear inequalities in two variables. 3.8 Solve real-world application problems.MLS 5 Modeling and Critical Thinking 5.1 Students integrate their mathematical development from MLS 1 through MLS 4 to make meaningful connections. Institutions should develop their own topics, suggested topics might include: *Solve a system of equations (may be non-linear) applying graphical methods, numeric methods, and algebraic methods (using substitution or elimination). *Probability, Statistics and Data Analysis. *Modeling with non linear functions. The following instructional schedule is provided as a guide to ensure completion of MATH 0810 in one semester. Students are encouraged to work ahead of this schedule so as to complete the course in less than one full semester. MyLab/Mastering only covers the odd problems. Week Objective Numbers Content to be Covered Student Assignments/ Supplementary Material(s) I. MLS 1.1 MLS 1.2 Section 1.9 Section 3.5 Section 2.1 Sections 2.3, 2.4 53 – 97 49 – 73 7 – 15, 63 – 75, 101 – 105 (1 – 39), (1 – 79) II. MLS 1.2 Section 2.5 Section 3.1 Sections 3.3 – 3.5 Section 4.1 9 – 89 1 – 39 (1 – 79), (1 – 47), (17 – 29) 35 – 75 III. MLS 1.2 MLS 1.3 MLS 1.4 Section 4.6 Sections 5.2, 5.3 Section 1.9 Section 3.5 Sections 4.2, 4.6 Section 8.1 1 – 37 (9 – 61), (1 – 73)