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2.3 Mathematics

Using principles of mathematics such as algebra, geometry, and trigonometry to solve problems.

  • 2.3.1 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
  • 2.3.2 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
  • 2.3.3 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)
  • 2.3.4 Application
    • Translate practical problems into useful mathematical expressions
    • Use appropriate mathematical formulas and techniques to solve problems