PCC/ CCOG / MTH

Course Content and Outcome Guide for MTH 20B

Course Number:
MTH 20B
Course Title:
Basic Math
Credit Hours:
4
Lecture Hours:
0
Lecture/Lab Hours:
80
Lab Hours:
0
Special Fee:
$24.00

Course Description

Use fractions, decimals, percents, integer arithmetic, measurements, and geometric properties to write, manipulate, interpret and solve application and formula problems. Introduces concepts of basic statistics, charts and graphs. Concepts will be introduced numerically, graphically, symbolically, and in oral and written form. Scientific calculator with fraction capabilities required. Prerequisites: (ABE 0782 or placement into MTH 20) and (RD 80 or ESOL 250) Audit available.

Intended Outcomes for the course

  • Creatively and confidently use mathematical and other problem solving strategies to formulate problems, to solve problems using multiple approaches, and to interpret results.
  • Meet the prerequisites for further course work.
  • Choose and perform accurate arithmetic operations in a variety of situations with and without a calculator.
  • Present results numerically, symbolically, graphically, and in written and oral form.

Outcome Assessment Strategies


Assessment shall include:

  1. At least two in-class examinations,
  2. One cumulative final exam or project,
  3. At least one written explanation of a mathematical concept,
  4. At least one contextual project of any length, and
  5. At least two of the following additional measures:
    1. Take-home examinations
    2. Graded homework
    3. Quizzes
    4. Group projects
    5. In-class activities
    6. Attendance
    7. Portfolios
    8. Individual projects
    9. Individual student conference

Course Content (Themes, Concepts, Issues and Skills)

THEMES:

  1. Rational, integer, and percent arithmetic operations in context
  2. Appropriate use of technology
  3. Application of critical thinking skills to solve mathematical problems
  4. Data analysis
  5. Team work

SKILLS:

  1. BASIC ARITHMETIC FACTS
    1. Round a given number to a specified place
    2. Master fraction and decimal vocabulary
    3. Determine whether a given whole number is prime or composite
    4. Arrange numbers in numerical order
    5. Determine whether an inequality statement involving two numbers is true or false
    6. Evaluate expression containing exponents and square roots
    7. Perform order of operations accurately using fractions, decimals, and percents
    8. Develop skills in estimation and number sense
    9. Solve application problems with fractions, decimals, and percents
    10. Convert between standard and scientific notation
  2. CHARTS, GRAPHS, TABLES, AND STATISTICS
    1. Read and interpret data from bar, pictorial, line, circle graphs, table charts, and various graphs
    2. Find statistical measures such as median, mode, mean, maximum, minimum, and range
    3. Collect, interpret, organize data and draw graphs for a particular application
  3. BASIC MEASUREMENTS
    1. Convert measurements within the English and Metric systems
    2. Convert between measurement systems
    3. Measure objects to a specified unit
    4. Recognize critical temperature within the Fahrenheit and Celsius scales
    5. Convert Fahrenheit and Celsius temperatures accurately using formulas
  4. GEOMETRY
    1. Recognize at least the following geometric shapes: triangles, quadrilaterals, circles, cubes, rectangular solids, cylinders, and spheres and the relationships between them
    2. Investigate angles and lines
    3. Determine the perimeter and area of polygons
    4. Determine the circumference and area of a circles
    5. Determine the volume of solids
    6. Determine side lengths using Pythagorean Theorem
  5. INTEGERS
    1. Introduce operations with opposites and absolute values, and integer arithmetic
  6. TECHNOLOGY
    1. Determine square roots to specified decimal place, exponents, fraction key, add, subtract, multiply, divide, order of operations, parentheses
  7. WRITING
    1. Write answers to application problems as complete sentences.