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 Searching Current Courses For Spring 2015

  Course: MAT 050
  Title:Quantitative Literacy
  Long Title:
  Course Description:Develops number sense and critical thinking strategies, introduce algebraic thinking, and connect mathematics to real world applications. Topics in the course include ratios, proportions, percents, measurement, linear relationships, properties of exponents, polynomials, factoring, and math learning strategies. This course prepares students for Math for Liberal Arts, Statistics, Integrated Math, and college level career math courses.
  Min Credit:4
  Max Credit:

  Origin Notes: LCC
  Course Notes: New course entered 3/12/13
  Status Notes: Prerequisites: NGAccuplacer: AR 255-300.
   S: For AR 240-254 co-enroll in MAT 020.
   S: TradAccuplacer: EA 30-84 or AR 40+.

 STANDARD COMPETENCIES:
 
 1. Demonstrate knowledge of and the ability to solve problems involving ratios, rates, proportions, percents, and measurement conversions.
 2. Demonstrate knowledge and usage of formulas.
 3. Demonstrate knowledge of and the ability to solve linear equations and inequalities.
 4. Demonstrate knowledge of and the ability to calculate and simplify expressions containing exponents and numeric square roots.
 5. Demonstrate knowledge of and the ability to perform algebraic manipulations involving polynomials, polynomial operations, and basic factoring.
 6. Demonstrate the use of critical thinking skills to problem solve.


 TOPICAL OUTLINE:
 
 I. Demonstrate knowledge of and the ability to solve problems involving ratios, rates, proportions, percent’s, and measurement conversions.
 a. Read and write ratios and proportions using colon or fraction form.
 b. Simplify ratios and write rates as unit rates.
 c. Determine whether a proportion is true.
 d. Solve for the missing term of a proportion.
 e. Solve word problems involving proportions.
 f. Convert numbers in percent form to fractional or decimal form and vice versa.
 g. Solve percent problems for base, rate, or amount (percentage).
 h. Solve word problems involving percent using the percent formula or proportions.
 i. Solve percent applications involving topics such as commission, discount, simple interest, and percent increase/decrease.
 j. Identify the basic units in the U.S. system and convert from one unit to another, introducing commonly used fractions as needed.
 k. Reproduce the metric chart (prefixes, abbreviations, and values) from kilo to milli.
 l. Convert from one metric unit to another.
 m. Convert units of length, weight, volume, and temperature between metric and U.S. systems introducing unit fractions and/or proportions as needed.
 
 II. Demonstrate knowledge and usage of formulas.
 a. Apply formulas in calculating perimeter/circumference and area of plane geometric figures.
 b. Evaluate formulas for given values of the variables, including formulas with integer exponents, fractions, and decimals.
 c. Solve word problems that apply formulas.
 
 III. Demonstrate knowledge of and the ability to solve linear equations and inequalities.
 a. Solve first degree equations including those involving fractions, decimals, ratio, proportion, and percent.
 b. Check the solution of first degree equations.
 c. Graph linear equations in two variables using the Cartesian coordinate system.
 d. Determine the x- and y-intercepts of a linear equation.
 e. Find the slope of a line given two points or the equation of the line.
 f. Explain how slope relates to a rate of change in a problem.
 g. Find and write the equation of a line in slope-intercept form.
 h. Solve and graph applications using linear equations.
 i. Solve first degree inequalities, including compound inequalities.
 j. Graph solutions for first degree inequalities.
 
 IV. Demonstrate knowledge of and the ability to calculate and simplify expressions containing exponents and numeric square roots.
 a. Demonstrate proper use of order of operations and properties of exponents, including integer exponents.
 b. Change notation from standard decimal form to scientific notation and vice versa.
 c. Apply properties of exponents to simplify expressions involving scientific notation. (Example:  (2 x 106) (4 x 105))
 d. Calculate and simplify square roots of real numbers with both rational and irrational solutions (exact and decimal approximations).
 
 V. Demonstrate knowledge of and the ability to perform algebraic manipulations involving polynomials, polynomial operations, and basic factoring.
 a. Add, subtract, and multiply polynomial expressions with rational coefficients and express the answer in simplest form.
 b. Divide a polynomial by a monomial.
 c. Factor out the greatest common monomial factor.
 d. Factor the difference of two squares.
 e. Factor trinomials of the form ax2 + bx + c, a=1.
 
 VI. Demonstrate the use of critical thinking skills to problem solve.
 a. Model real-world application problems, interpret results, and summarize using complete sentences.
 b. Create and use graphs, tables, and equations to solve real-world application problems relating to linear relationships.
 c. Identify academic support resources.
 d. Engage in appropriate math learning and testing strategies.
 e. Effectively use calculators and other appropriate technology.



 Course Offered At:

  Arapahoe Community College ACC
  Community College of Aurora CCA
  Colorado Community College Sys CCCS
  Community College of Denver CCD
  Colorado Northwestern CC CNCC
  Front Range Community College FRCC
  Lamar Community College LCC
  Morgan Community College MCC
  Northeastern Junior College NJC
  Otero College OJC
  Pueblo Community College PCC
  Pikes Peak State College PPCC
  Red Rocks Community College RRCC
  Trinidad State College TSJC
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Release: 8.5.3