Mathematics Performance Standard B Grade 12

Mathematics, Standard B: Number Operations And Relationships
Performance Standards - Grade 12

By the end of grade twelve, students will:

B.12.1 Use complex counting procedures such as union and intersection of sets and arrangements (permutations* and combinations*) to solve problems

B.12.2 Compare real numbers using

  • order relations (>,ordinal scales including logarithmic (e.g., Richter, pH rating)
  • arithmetic differences
  • ratios, proportions, percents, rates of change

B.12.3 Perform and explain operations on real numbers (add, subtract, multiply, divide, raise to a power, extract a root, take opposites and reciprocals, determine absolute value)

B.12.4 In problem-solving situations involving the application of different number systems (natural, integers, rational*, real*) select and use appropriate

  • computational procedures
  • properties (e.g., commutativity*, associativity*, inverses*)
  • modes of representation (e.g., rationals as repeating decimals, indicated roots as fractional exponents)

B.12.5 Create and critically evaluate numerical arguments presented in a variety of classroom and real-world situations (e.g., political, economic, scientific, social)

B.12.6 Routinely assess the acceptable limits of error when

  • evaluating strategies
  • testing the reasonableness of results
  • using technology to carry out computations

*See Glossary.

Content Standard B

For questions about this information, contact Diana Kasbaum (608) 266-7712