Program level learning outcomes

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MS 090MS 095MS 098
I. Course Objectives or Learning Outcomes
A. Program student learning outcomes
Students will be able to:

define mathematical concepts, calculate quantities, estimate solutions, solve problems, represent and interpret mathematical information graphically, and communicate mathematical thoughts and ideas. 		I. General Objectives: Students will acquire the basic mathematical tools that will enable them to develop long-range intellectual abilities including: I. General Objectives: Students will acquire the basic mathematical tools that will enable them to develop long-range intellectual abilities including:

Course level learning outcomes

MS 090MS 095MS 098
B. Course student learning outcomes
Students will be able to:
  1. add and subtract whole numbers
  2. multiply and divide whole numbers
  3. find factors and calculate multiples
  4. perform operations with fractions
  5. perform operations with decimals
  6. calculate ratios, proportions, and percentages
  7. measurement, geometry, statistics and the usage of formulas
  8. solve basic algebraic expressions
  1. engaging in substantial mathematical problem solving
  2. learning mathematics through modeling real-world situations
  3. expanding their mathematical reasoning skills
  4. developing the view that mathematics is a growing discipline, interrelated with human culture, and understand its connections to other disciplines
  5. acquiring the ability to read, write, listen to, and speak mathematics
  6. using appropriate technology to enhance their mathematical thinking and understanding and to solve mathematical problems and judge the reasonableness of their results
  7. developing mathematical power by engaging in rich experiences that encourage independent, nontrivial exploration in mathematics, develop and reinforce tenacity and confidence in their abilities to use mathematics, and inspire them to pursue the study of mathematics and related disciplines as related to their personal life-time goals.
  1. Engaging in substantial mathematical problem solving.
  2. Learning mathematics through modeling real-world situation.
  3. Expanding their mathematical reasoning skills.
  4. Developing the view that mathematics is a growing discipline, interrelated with human culture, and understand its connections to other disciplines.
  5. Acquiring the ability to read, write, listen to, and speak mathematics
  6. Using appropriate technology to enhance their mathematical thinking and understanding and to solve mathematical problems and judge the reasonableness of their results
  7. Developing mathematical expertise by engaging in experiences that encourage independent, nontrivial exploration in mathematics, develop and reinforce confidence in their abilities use mathematics, and inspire them to pursue the study of mathematics and related disciplines as related to their personal life-time goals.

Specific learning outcomes

MS 090MS 095MS 098
Specific student learning outcomes
Students will be able to: 		Specific Objectives: The student will demonstrate understanding of the following topics at least 70% of the time: Specific Objectives: Students will demonstrate acquisition of basic mathematical tools listed in the Course Content category below. The students will demonstrate by successful (70% accuracy or better) performance in:
  1. Classroom discussion and practice of the mathematical tools
  2. Homework used to reinforce classroom discussion
  3. Projects (including computerized projects) used to expand on and synthesize the tools discussed
  4. Multiple test or quizzes (as a minimum, one per chapter) covering the course content
  5. Mid-Term and Final that will be a comprehensive assessments of students' understanding of the course content.

As MS 098 does not overlap the following learning outcomes, the MS 098 column is being dropped until further down the page.

MS 090MS 095
1. add and subtract whole numbers
  1. add and subtract whole numbers
  2. determine decimal place values
  3. round, estimate, and put whole numbers into order
  4. borrow and carry
  5. list and describe the properties of addition
  6. solve applications involving addition and subtraction
2. multiply and divide whole numbers
  1. list and describe the properties of multiplication
  2. multiply and divide by numbers with more than one digit
  3. demonstrate usage of the long division algorithm
  4. solve applications involving multiplication and division
 A. Working With Whole Numbers
  1. Place Value
  2. Addition/Subtraction
  3. Multiplication/Division
  4. Exponents
  5. Rounding and Estimation
  6. Factors/Prime Factorization
  7. Least Common Multiple/Greatest Common Factor
  8. Order of Arithmetic Operations
  9. Formulas and Applications
[The proposed MS 090 outline never mentions negative numbers/integers specifically] B. Working With Integers
  1. Order Relations Between Integers
  2. Absolute Value
  3. Addition/Subtraction
  4. Multiplication/Division
  5. Order of Arithmetic Operations
  6. Applications
3. find factors and calculate multiples
  1. distinguish between prime and composite numbers
  2. write composite numbers as products of prime numbers
  3. find the Greatest Common Factor
  4. find the Least Common Multiple
 See A. above.
4. perform operations with fractions
  1. identify and distinguish proper & improper fractions, and mixed numbers
  2. convert improper fractions to mixed numbers and vice-versa
  3. determine whether fraction are equivalent simplify fractions
  4. multiply and divide fractions
  5. multiply fractions and mixed numbers
  6. simplify and dividing fractions
  7. add and subtraction fractions
  8. find the Least Common Denominator
  9. add and subtract fractions with different denominators
  10. add and subtract mixed numbers
  11. solve applications involving fractions
 C. Working With Fractions
  1. Proper/Improper Fractions, Mixed Numbers
  2. Equivalence
  3. Order Relations Between Fractions
  4. Addition/Subtraction
  5. Multiplication/Division
  6. Exponents
  7. Complex Fractions
  8. Order of Arithmetic Operations
  9. Applications
5. perform operations with decimals
  1. add and subtract of decimals
  2. determine place value in decimal fractions
  3. round decimals
  4. convert decimals to fractions
  5. multiply and divide decimals
  6. multiply and divide decimals by whole numbers
  7. multiply and divide decimals by powers of 10
  8. perform operations using scientific notation
 D. Working With Decimals and Real Numbers
  1. Place Value
  2. Order Relations Between Decimals
  3. Rounding and Estimation
  4. Addition/Subtraction
  5. Multiplication/Division
  6. Conversions Between Fractions and Decimals
  7. Real Numbers and the Real Number Line
  8. Inequalities of One Variable
  9. Applications and Formulas
6. calculate ratios, proportions, and percentages
  1. define the terms used with ratios and proportions
  2. solve ratio and proportion problems
  3. define the meaning of percent
  4. changing percent to fractions and decimals and back
  5. identify rate, base, and amount
  6. solve applications and word problems with ratios, proportions, and percent
  
7. measurement, geometry, statistics and the usage of formulas
  1. define the English system of measurement
  2. define the metric system of measurement
  3. describe the units of these systems
  4. describe the correlation of weight, volume, and length
  5. identify and distinguish lines, angles, and simple geometric figures
  6. describe the parts of a graph including the quadrants, axes, and ordered pairs
  7. recognize graphs of geometric figures
  8. find perimeter and circumference
  9. find area and volume from formulas
  10. Calculate square roots and the Pythagorean Theorem
  11. define and calculate basic terms of statistics
  12. determine mean, mode, range, and median
 E. Working With Variable Expressions
  1. Simplifying Expressions Using the Properties of Addition and Multiplication
  2. Applying the Distributive Property
  3. General Variable Expressions
  4. Using Formulas
    1. for Perimeter and Area of Geometric Figures
    2. for Volume and surface Area of Solids
  5. Translating Verbal Expressions into Variable Expressions
  6. Applications
8. solve basic algebraic expressions
  1. distinguish real numbers and subsets
  2. calculate using positive and negative values and the rules of operation
  3. solve problems using the steps for solving equations
  4. evaluate algebraic expressions
  5. convert statements to equations
  6. solve basic equations with positive and negative values
 F. Working With Equations and Inequalities
  1. Solutions of an Equation
    1. of the form x + a = b
    2. of the form ax = b
    3. of the form ax + b = c
    4. of the form ax + b = cx + d
    5. equations containing parentheses
  2. Translations of Sentences into Equations and Solving
  3. Applications
    1. Basic Percent Equations
    2. Percent Increase and Percent Decrease
    3. Geometry: Lines, Angles, and Triangles
    4. Mixture, Investment,and Motion Problems
  4. Inequalities
    1. Addition and Multiplication Properties
    2. General Inequalities
    3. Applications
MS 098
III. Course Content:
  1. Graphs and Linear Equations
    1. Rectangular coordinate system
    2. Solutions of Linear Equations in two variables<
    3. Graph equations of the following forms:
      1. y = mx + b
      2. Ax + B = C
    4. The slope of a straight line
    5. Graph a line using the slope and y-intercept
    6. Find the equation of line given:
      1. a point and a slope
      2. two points
    7. Solve a system of linear equations by:
      1. graphing
      2. substitution method
      3. addition method
    8. Apply the above concepts with real problems
  2. Polynomials
    1. Operation with Polynomials:
      1. Addition
      2. Subtraction
      3. Multiplication, concentrating on methods for
        1. monomials
        2. binomials
      4. Division, concentrating on methods for
        1. monomials
        2. long division of polynomials
    2. Working with Exponents
      1. Negative and zero exponents
      2. Positive exponents
      3. Scientific notation
    3. Applications of polynomials
  3. Factoring Polynomials
    1. Finding the greatest common factor of two or more monomials
    2. Factoring a monomial from a polynomials
    3. Factoring a trinomial of the forms
      1. Perfect squares
      2. Difference of squares
      3. Multi-step factoring completely
    4. Solving equations by factoring
    5. Application using factoring
  4. Algebraic Fractions
    1. Simplifying fractions
    2. Multiplication of fractions
    3. Division of fractions
    4. Addition/Subtraction using the Least Common Multiple
    5. Solving equations (and applications) containing fractions
      1. Variation problems
      2. Literal equations
      3. Unit rates and proportions
      4. Similar triangles
      5. Work problems
      6. Uniform motion problems
  5. Radical Expressions
    1. Operations on radical expressions
      1. Addition/subtraction of radical expressions
      2. Multiplication/division of radical expressions
    2. Equations with radical expressions<
    3. Solving right triangles
  6. Quadratic Equations
    1. Solving quadratic equations by the following methods:
      1. Factoring
      2. Taking square roots
      3. Completing the square
      4. Quadratic formula
    2. Graphing quadratic equations in two variables
MS 100
Course Objectives or Learning Outcomes
  1. Program student learning outcomes
    Students will be able to:
    • define mathematical concepts, calculate quantities, estimate solutions, solve problems, represent and interpret mathematical information graphically, and communicate mathematical thoughts and ideas.
  2. Course student learning outcomes
    Students will be able to:
    1. Graph and solve linear and quadratic equations and inequalities including those with complex roots.
    2. Evaluate and analyze functions and their graphs including combinations and compositions of functions.
    3. Sketch and analyze graphs of polynomial functions and mathematical models of variation.
    4. Determine the domains of rational functions, find asymtotes, and sketch the graphs of rational functions.
  3. Specific student learning outcomes
    Students will be able to:
    1. Graph and solve linear and quadratic equations and inequalities including those with complex roots.
      1. Sketch the graph of an equation
      2. Solve linear, quadratic, polynomial, and radical equations.
      3. Perform operations with complex numbers.
      4. Solve linear, quadratic, polynomial, and radical inequalities.
    2. Evaluate and analyze functions and their graphs including combinations and compositions of functions.
      1. Find and use slopes of lines to write and graph linear equations in two variables.
      2. Evaluate functions and find their domains.
      3. Analyze the graphs of functions.
      4. Find arithmetic combinations and compositions of functions.
      5. Identify inverse functions graphically and find inverse functions algebraically.
    3. Sketch and analyze graphs of polynomial functions and mathematical models of variation.
      1. Sketch and analyze graphs of polynomial functions
      2. Use long division to divide polynomials
      3. Write mathematical models for direct, inverse, and joint variation.
    4. Determine the domains of rational functions, find asymtotes, and sketch the graphs of rational functions.
      1. Find the domains of rational functions.
      2. Find the horizontal and vertical asymptotes for graphs of rational functions.
      3. Recognize graphs of circles, ellipses, parabolas, and hyperbolas.

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