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.