MATH 93
MATH 93 - Applied Algebra for Statistics Course OutlineApproval Date: Effective Date: SECTION AUnique ID NumberCCC000372829Discipline(s)MathematicsDivisionScience, Mathematics and EngineeringSubject AreaMathematicsSubject CodeMATHCourse Number93Course TitleApplied Algebra for StatisticsTOP Code/SAM Code1701.00 - Mathematics, General / - Rationale for adding this course to the curriculumThis course will become our new pathway course for Statistics, in response to chancellor's office directives and AB705.Units3This Course IsAA/AS DegreeCross ListN/A Typical Course Weeks18Total Instructional Hours?Contact HoursLecture36.00 to 0.00 Lab0.00 to 0.00 Activity36.00 to 0.00 Work Experience0.00 to 0.00 Total Contact Hours72 to 0.00 Hours per semester in outside of class assignments90.00 to 0 Open Entry/Open ExitNo Maximum Enrollment35Grading OptionLetter Grade or P/NPDistance Education Mode of InstructionOn-CampusHybridSECTION BGeneral Education Information:SECTION CCourse DescriptionRepeatabilityMay be repeated 0 timesCatalog DescriptionMath 93 provides students with the algebraic skills necessary for success in Statistics (Math 232). Students will learn to use core concepts from arithmetic, prealgebra, elementary and intermediate algebra, with emphasis on solving and graphing linear equations; modeling with linear functions; solving contextualized problems; and dimensional analysis. This course is not intended for math, science, computer science, business, or engineering majors.Schedule DescriptionMath 93 provides students with the algebraic skills necessary for success in Statistics (Math 232). Students will learn to use core concepts from arithmetic, prealgebra, elementary and intermediate algebra, with emphasis on solving and graphing linear equations; modeling with linear functions; solving contextualized problems; and dimensional analysis. This course is not intended for math, science, computer science, business, or engineering majors.SECTION DCondition on Enrollment1a. Prerequisite(s): None 1b. Corequisite(s): None 1c. Recommended It is expected that students have a fundamental understanding of signed numbers, including decimals and fractions. 1d. Limitation on Enrollment: None SECTION ECourse Outline Information1. Student Learning Outcomes:Perform arithmetic and/or algebraic operations, as needed for statistics calculations.Graph linear equations.Interpret the slope and y-intercept of a linear equation.2. Course Objectives: Upon completion of this course, the student will be able to:Perform arithmetic operations involving integers, fractions and decimals.Identify common irrational numbers used in statistics.Convert between scientific notation and decimal notation.Convert between units of measure.Use the Order of Operations to simplify expressions.Translate English sentences into mathematical expressions, equations and inequalities.Solve equations and inequalities with one variable.Graph solutions to equations and inequalities with one variable on the number line.Understand and appropriately use interval notation, including identification of number both in and out of closed and open intervalsUnderstand and apply a Problem-Solving Method.Solve literal equations.Interpret scatterplots.Graph linear equations.Understand and interpret slope and y-intercept.Understand and use various kinds of set notation.Apply basic principles of counting.Write and compute sums using sigma notation.Find the area under a linear function.Identify the graphs of functions used in statistics, such as exponential, logarithmic, rational exponent and power functions.Use appropriate and effective student skills3. Course ContentArithmetic Operations and NumbersIdentify integers, fractions, decimals, percentages and?irrational numbers.Arithmetic operations using fractions and decimals by hand.Round decimals.Reduce fractions to lowest terms.Convert between decimal, fraction and percent notation.Convert between scientific and decimal notation.Calculate and interpreting percentages and percent error.Convert quantities between units of measurement.Introduction to Expressions and EquationsTranslate English sentences into mathematical expressions, equations and inequalities.Evaluate and simplify expressions using the Order of Operations.Evaluate expressions using given values.Evaluate expressions using square roots.Equations, Inequalities and Problem SolvingSolve equations in one variable requiring several steps using the Addition and Multiplication Properties as well as the distributive law.Solve literal equations involving fractions, squares and square roots.Convert plus/minus notation to interval notation.Solve compound inequalities.Use interval and plus/minus notation for solutions to compound inequalities in context.Use a Problem-Solving method to solve word problems.Linear Equations in Two VariablesGraph points on a plane.Graph scatterplots using application data.Identify Independent and Dependent Variables.Identify linear equations in two variables.Determine the intercepts of graphs of Linear pute the slope of a line through two points.Graph a line using the slope and a point.Determine the slope and y-intercept of a Line given the statistical linear equation.Interpret the slope and y-interceptof a linear model.Write and solve linear equations to model data.Fundamentals of SetsUse list notation to write sets.Determine the intersection, union and complement of sets.Construct and use Venn diagrams.Construct a tree diagram and apply the multiplication principle to count outcomes.Use factorial pute sums involving constants and pute the square of a sum and the sum of a square.Introduction to FunctionsFind the domain and range of a function.Evaluate functions in an application.Find the area under constant and linear functions.Identify graphs of functions used in statistics, such as exponential, logarithmic, rational exponent and power functions.Effective Student SkillsAffective Domain exercises including Growth Mindset and GritEffective note taking and study strategies4. Methods of Instruction: Activity Lecture Projects 5. Methods of Evaluation: Describe the general types of evaluations for this course and provide at least two, specific examples. Typical classroom assessment techniquesExams/Tests -- Quizzes -- Oral Presentation -- Projects -- Home Work -- Final Exam -- Additional assessment information:The Mathematics Department maintains a commitment to diverse teaching methods in courses emphasizing vital quantitative skills and qualitative reasoning ability (PEP Program Mission Statement, 2011). To that end, it is expected that sufficient formative assessments will be given to students that in frequency, length and rigor adequately assess both quantitative skills and qualitative reasoning.Example Questions:1. In the year 2000, the United States consumed 13.51 megawatt-hours (MWh) per person of electric power. By the year 2006, consumption had steadily decreased to 13.38 MWh per person. Use this information to write an equation for the per-person electric power consumption in the statistical form y = a + bx, where x represents the number of years since 2000 and y represents the number of MWh consumed person. Write a statement to interpret the slope b.2. The land area of Alaska is approximately 3.66 x 10^8 acres. The state was purchased from Russia in 1867 for $7.2 million. Determine the price per acre to the nearest cent that the United States paid Russia. Letter Grade or P/NP6. Assignments: State the general types of assignments for this course under the following categories and provide at least two specific examples for each section. Reading Assignments1. Read section 1.5 before our next class and be ready to apply those concepts to an in-class activity. Writing AssignmentsExample 1. Online or Paper Homework: Complete assigned exercises from the applicable section in the text. Example 2. Group Project: Graph the given ordered pairs. Draw the line of best fit and then find the equation for the line. Then interpret the slope and y-intercept. Other Assignments7. Required MaterialsA. EXAMPLES of typical college-level textbooks (for degree-applicable courses) or other print materials. Book #1: Author:Davis, Armstrong, McCraithTitle:PreStatisticsPublisher:CengageDate of Publication:2019Edition:1stBook #2: Author:The Consortium for Foundation MathematicsTitle:Mathematics in Action. An introduction to algebraic, graphical, and numerical problem solving.Publisher:Pearson EducationDate of Publication:2016Edition:5thB. Other required materials/supplies. These texts may be accompanied by an online homework component in the platform of the publisher. ................
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