| Originator: | Clifford, Laurel Status: Approved Department: MAT Mathematics |
| Date Created: | 10/23/2014 Submitted: 10/24/2014 Completed: 02/05/2015 |
| Effective Semester: | Fall |
| Catalog Year: | 2015-16 |
| Course Prefix: | MAT |
| Course Number: | 101 |
| Course Full Title: | Mathematical Literacy for College Students |
| Reason for Evaluation: | Competencies Change Course Number Change* Description Change |
| Current Credit: | 4 |
| Lecture Hours: | 4 |
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| SUN Course?: | No |
| AGEC Course?: | No |
| Articulated?: | No |
| Transfer: | Non Applicable |
| Prerequisite(s): | Successful completion of TRM 090 and PCS 021 or appropriate assessment test scores. |
| Corequisite(s): | none |
| Catalog Course Description: | Mathematical Literacy for College Students is designed for students on a liberal arts/statistics (non-calculus) pathway, integrating problem solving, numeracy, proportional reasoning, algebraic reasoning, and understanding of functions. College success content is integrated with mathematical topics to help students acquire the strategies and persistence necessary to be successful in mathematics and other college course work. It is not appropriate for students in programs requiring College Algebra (MAT 151). |
| Course Learning Outcomes: | 1. Apply the concepts of numeracy in multiple contexts (3)
2. Represent proportional relationships to solve problems that require an understanding of ratios, rates, proportions, and scaling (3) 3. Reason using the language and structure of algebra to investigate, represent, interpret, and solve problems (3) 4. Create multiple representations of mathematical relationships in context, such as graphs, tables, equations, diagrams, and words (3) 5. Demonstrate student success skills including perseverance, time management, and appropriate use of resources (3) 6. Solve problems in a variety of contexts using the tools of mathematics including technology (3, 6) |
| Course Competencies: | Competency 1 Solve problems involving quantitative relationships in a variety of contexts through application the concepts of numeracy, geometry and data analysis
Objective 1.1 Communicate verbally and symbolically about properties of and operations with rational, integer, and real numbers in real-world contexts Objective 1.2 Predict the effects of common operations on integer, rational and real numbers in words and symbols Objective 1.3 Analyze verbal information for the appropriate mathematical calculations involved Objective 1.4 Apply the order of operations to formula and function calculations with integer, rational and real numbers Objective 1.5 Explain the use of magnitude in the contexts of place values, fractions, and numbers written in scientific notation Objective 1.6 Predict results using estimation skills Objective 1.7 Detect computational error using estimation skills Objective 1.8 Calculate perimeter, area, and volume of composite figures Objective 1.9 Determine whether the concept of perimeter, area or volume applies in a real-world context Objective 1.10 Predict effects of calculations on the units in geometry and measurement application problems Objective 1.11 Apply the Pythagorean Theorem in context Objective 1.12 Calculate measures of central tendency (mean, mode, median) for data sets Objective 1.13 Interpret the meaning of measures of central tendency Objective 1.14 Determine the appropriate measure of central tendency to represent a typical value of a data set Objective 1.15 Calculate the standard deviation of a data set Objective 1.15 Interpret the standard deviation of a data set Objective 1.16 Create graphical summaries of data including Venn diagrams, line graphs, pie charts, bar graphs, Pareto charts, scatterplots, histograms Objective 1.17 Determine the appropriate graphical summary of data Objective 1.18 Recognize when graphical summaries of data are not appropriate for the data set Objective 1.19 Compare advantages and disadvantages of various summaries of data Objective 1.20 Create appropriate scales for graphical summaries Objective 1.21 Determine the impact of the choice of scale for graphical summaries Objective 1.23 Interpret graphical summaries of data including Venn diagrams, line graphs, pie charts, bar graphs, Pareto charts, scatterplots, histograms Objective 1.22 Make predictions based upon data from graphical and numerical summaries of data Competency 2 Solve problems involving ratios, rates, and proportional relationships through the use of quantitative reasoning, scaling and dimensional analysis Objective 2.1 Recognize proportional relationships presented in different ways, including verbal and numeric representations Objective 2.2 Solve real-world proportional relationship problems using quantitative reasoning Objective 2.3 Convert among rates, units, and percent using dimensional analysis Objective 2.4 Solve real-world contextual problems using dimensional analysis Objective 2.5 Convert among rates, units, and percent in using scaling Objective 2.6 Calculate rates from given quantities Objective 2.7 Calculate values for quantities from rates Objective 2.8 Solve contextual problems applying concepts of percent and percent of change Objective 2.9 Analyze data to determine whether percent or percent of change is applicable Objective 2.10 Use symbolic methods with proportions to solve applied problems Objective 2.11 Create models for inverse and direct variation Objective 2.12 Apply models for inverse and direct variation in context Competency 3 Solve problems using the language and structure of algebra Objective 3.1 Distinguish between variables and constants in multiple representations (symbolic, numeric, graphic) Objective 3.2 Represent situations using variables Objective 3.3 Identify the variables in a context as being independent or dependent Objective 3.4 Describe the effect that a change of one variable has on the other variable(s) in a given formula Objective 3.5 Generalize patterns in data with expressions and formulas. Objective 3.6 Use correct notation and vocabulary, such as coefficients, exponents, and subscripts Objective 3.7 Contrast between algebraic expressions that can be simplified and those that cannot Objective 3.8 Apply commutative, associative and distributive properties for sums and products to single and multivariable algebraic expressions Objective 3.9 Apply properties of exponents to single and multivariable algebraic expressions and formulas Objective 3.10 Solve for unknown values using formulas and variables Objective 3.11 Describe rounding error in calculations involving formulas and variables Objective 3.12 Simplify numeric and algebraic expressions generated by formulas in context through accurate application of the order of operations Objective 3.13 Construct equations and inequalities representing relationships given in real-world verbal and numerical contexts Objective 3.14 Solve multi-step linear and nonlinear equations for unknown variables using inverse operations Objective 3.15 Identify equations that do not have a unique solution Objective 3.16 Evaluate the reasonableness and accuracy of a solution to an equation or inequality Objective 3.17 Create a system of two linear equations for a contextual problem Objective 3.18 Solve a two variable system by numeric/graphical methods, or by symbolic methods Objective 3.19 Apply basic factoring concepts while working with formulas where the variable appears in two or more terms Objective 3.20 Judge when algebra is preferable to numeric methods Competency 4 Solve problems involving relationships between quantities through the use of multiple representations of functions Objective 4.1 Find the slope of a line from two points given in context Objective 4.2 Find the equation of a line from the slope and a point Objective 4.3 Interpret the slope of a line as a rate of change using appropriate terms and units Objective 4.4 Create an exponential function for a repeated multiplication situation such as doubling Objective 4.5 Create an exponential model from a starting value and a percent change Objective 4.6 Translate problems from a variety of contexts into mathematical models or functions (linear, exponential, or simple squaring) Objective 4.7 Calculate data values from various functions (linear, exponential, quadratic, radical, rational) in context Objective 4.8 Interpret data values from various functions (linear, exponential, quadratic, radical, rational) in context Objective 4.9 Describe the behavior of common types of functions (linear, exponential, quadratic, radical other) using words, algebraic symbols, graphs, and tables Objective 4.10 Contrast the behavior of linear, exponential and other functions in context Objective 4.11 Evaluate the reasonableness of a linear, exponential or other model for given data in multiple representations Objective 4.12 Interpret the rate of change to determine whether a function is increasing or decreasing Objective 4.13 Interpret a graph to determine whether a function is increasing or decreasing Objective 4.14 Interpret the starting value for exponential functions, or y-intercepts for linear functions, in context Objective 4.15 Explain the differences between an approximate model compared to a known relationship Objective 4.16 Identify correlations in bivariate data Objective 4.17 Estimate trend line location and equations Objective 4.18 Analyze quadratic functions using numerical methods Objective 4.19 Use a common logarithm to express order of magnitude Competency 5 Apply student success skills for both college and mathematical success Objective 5.1 Apply written and verbal skills in relation to course content Objective 5.2 Evaluate personal learning style, strengths, weaknesses, and success strategies that address each Objective 5.3 Research using print and online resources to solve open-ended contextual problems Objective 5.4 Apply time management and goal setting techniques Objective 5.5 Apply computer and calculator technology appropriately during the problem solving process Objective 5.6 Apply effective test preparation and test taking skills Objective 5.7 Apply critical thinking skills by analyzing ideas, patterns and principles |