10804134Mathematical Reasoning
Course Information
Description
All college students, regardless of their college major, need to be able to make reasonable decisions about fiscal, environmental, and health issues that require quantitative reasoning skills. An activity based approach is used to explore numerical relationships, graphs, proportional relationships, algebraic reasoning, and problem solving using linear, exponential and other mathematical models. Students will develop conceptual and procedural tools that support the use of key mathematical concepts in a variety of contexts. This course may be used as the first of a two part sequence that ends with Quantitative Reasoning as the capstone general education math requirement.
Total Credits
3
Course Competencies

Demonstrate operation sense by communicating verbally and symbolically the effects of common operations on numbers.Assessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou use correct operation sense in algebraic expressionsyou communicate verbally and symbolically the correct effects of common operations on numbersyou represent very large and very small numbers from realworld problems using scientific notationyou explain the importance and value of using scientific notationyou demonstrate how and when to estimate results, solve problems, detect errors, and check accuracy.you apply quantitative reasoning to solve problems involving quantities or rates.you convert between different measurement units and use measurement terms correctlyyou compute different types of mathematical data summaries such as: measures of central tendancy and mathematical models.you use measures of central tendancy and mathematical models to represent data.you read, interpret, and make decisions based upon data from graphical displays such as line graphs, bar graphs, scatterplots, and histograms.

Apply quantitative reasoning strategies to solve realworld problems involving ratios, rates, proportions, and scalingAssessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou identify proportional relationships from verbal and numeric representationsyou compare proportional relationships represented in different waysyou apply quantitative reasoning strategies to solve realworld problems with proportional relationshipsyou appropriately use whole numbers, fractions, decimals, and units to describe and fully explain proportional relationships

Describe the underlying structure of quantitative reasoning problems using the language and structure of algebraAssessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou explain the various uses of variables to represent quantities or attributesyou describe the effect that a change in the value of one variable has on the value(s) of the other variables in an algebraic relationshipyou construct and use equations or inequalities to accurately represent relationships involving one or more unknown or variable quantities to solve problems.

Translate quantitative reasoning problems from a variety of contexts into mathematical modelsAssessment Strategiesby completing assignments, quizzes, lab work, and tests with a satisfactory score as detailed in the grading scaleby active participation in class discussion and activitiesCriteriayou translate problems from a variety of contexts into linear, exponential, or quadratic mathematical representations and vice versayou describe the behavior of common types of functions using words, algebraic symbols, graphs, and tablesyou identify when a linear model or trend is reasonable for given data. When a linear model does not appear to be reasonable, you explore the applicability of other models.you identify important characteristics of functions in various representations.you use appropriate terms and units to describe rate of changeyou explain why mathematical models used to characterize realworld scenarios or physical relationships may be inexact or subject to error from many sources, including variability