# Mathematics Performance Standard B Grade 12

### Mathematics, Standard B: Number Operations And RelationshipsPerformance 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.

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