Mathematicshttp://www.careeronestop.org/Competency ... =1048&AT=YUsing principles of mathematics such as algebra, geometry, and trigonometry to solve problems.
Mathematical principles
Number systems and relationships - whole numbers, decimals, fractions, alternate base systems (e.g., binary, octal, and hexadecimal numbers)
Arithmetic – arithmetic operations on numbers, percentages, square root, exponentiation, and logarithmic functions
Plane and solid geometry – distance, perimeter, area, and volume, spatial coordinates, visualization, spatial reasoning, and geometric modeling
Measurement – measurement of length, mass, time, systems of measurement, units, and conversion between systems (e.g., from English to metric)
Mathematical notation - the language of mathematics to express mathematical ideas
Mathematical reasoning and problem solving – inductive and deductive reasoning, conjectures, arguments, strategies, and interpretation of results
Elementary statistics and laws of probability – mean, median, and standard deviation
Algebra and functions – equations, patterns, and functions
Elementary trigonometry – triangles and trigonometric functions
Elementary calculus – exponential, logarithmic and trigonometric functions, vectors, complex numbers, conic sections, and analytic geometry
Computation
Add, subtract, multiply, and divide with whole numbers, fractions, decimals, and percents
Calculate averages, ratios, proportions, and rates
Convert decimals to fractions and fractions to decimals
Convert fractions to percents and percents to fractions
Convert decimals to percents and percents to decimals
Measurement and estimation
Take measurements of time, temperature, distances, length, width, height, perimeter, area, volume, weight, velocity, and speed
Use and report measurements correctly
Correctly convert from one measurement to another (e.g., from English to metric or International System of Units [SI], or Fahrenheit to Celsius)
Application
Translate practical problems into useful mathematical expressions
Use appropriate mathematical formulas and techniques to solve problems