CCOG for MTH 58 archive revision 201801

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Effective Term:
Winter 2018 through Winter 2020

Course Number:
MTH 58
Course Title:
Math Literacy I
Credit Hours:
4
Lecture Hours:
30
Lecture/Lab Hours:
20
Lab Hours:
0

Course Description

Introduces pattern recognition, estimation and number sense, working with units, spreadsheets, linear equations and inequalities. Explores how to clearly communicate arguments supported by quantitative evidence using words, tables, graphs, and mathematical equations. Supports collaborative learning through class group interaction. TI-83 or TI-84 calculator required. Audit available.

Intended Outcomes for the course

Upon completion of the course students should be able to

  • Make accurate inferences and conclusions based upon data presented in graphical or tabular format.

  • Demonstrate how units are used in measurement and in calculation.

  • Recognize linear and non-linear patterns.

  • Derive, solve, and model with linear equations and inequalities in one variable.

  • Estimate values based upon data presented in numerical, tabular and graphical form.

Course Activities and Design

This class is designed on a group work and discussion classroom format.  The focus of the activities in the course are reality based problems and situations from which formal definitions and procedures will arise.  A technology component is included as part of the course activities.  

Outcome Assessment Strategies

Assessment shall include:

  1.   At least two proctored, closed-book, no student-notes exams.  (An instructor-provided conversion chart is allowed:  see Addendum A via the following link:  http://spot.pcc.edu/math/addenda/mth58addendum.pdf ).    The proctored exams should be at least 50% on the overall grade.  An overall exam average of 68% is required to pass the course.  These exams must consist of primarily free response questions.
  2.  Group work and class participation
  3.  Homework including each of the following:
    • Technology assignment

    • At least one group project culminating in a written report and/or oral presentation​​​​​

             4.   Must include at least 2 of the following

  • Online skills assignments
  • Written Homework
  • Quizzes
  • Reflections

  • Portfolio  

  • Individual student conference
  • Community based learning

Course Content (Themes, Concepts, Issues and Skills)

  1. Arithmetic Operations and Number Sense Literacy

    1. Compute with fractions, decimals, percentages, and integers

    2. Estimate with fractions, decimals, percentages, and square roots

    3. Perform calculations with expressions containing exponents and/or radicals

    4. Use the order of operations

    5. Use scientific notation

    6. Distinguish between simple and compound interest

  2. Data Literacy
    1. Create and interpret visual representation of data (pie graph, table, bar graph, line)
    2. Read, interpret and make decisions based upon data from graphical displays
    3. Use reasoning to identify misleading data representation in the media
    4. Use applications and graphics to estimate values such as time, distance, and cost 
  3. Equations and Modeling
    1. Recognize patterns and use them to make predictions
    2. Distinguish between inputs/independent variables and outputs/dependent variables
    3. Evaluate expressions and formulas
    4. Write and interpret algebraic expressions 
    5. Manipulate and simplify expressions
    6. Derive linear expressions and equations from word problems and sets of data
    7. Manipulate and solve linear equations and inequalities in one variable
  4. Problem Solving and Reasoning
    1. Use multiple ways to solve problems:  diagrams, trial-and-error, patterns, equations
    2. Verbally communicate results and reasoning
  5. Ratio and Percent
    1. Convert between fractions, decimals, and percentages
    2. Recognize how percentages can be represented in and inferred from tables and graphs
    3. Use percentages to make inferences and conclusions about relative/percent increase and decrease
  6. Geometry
    1. Perform calculations with units
    2. Convert units and rates using dimensional analysis
    3. Investigate units in regards to length, area, and volume
    4. Distinguish between units that measure quantities and units that measure rates
    5. Determine area and perimeter of two dimensional figures and volume
  7. Optional Topics
    1. Use inductive reasoning to make a conjecture
    2. Disprove a conjecture by finding a counterexample
    3. Use deductive reasoning