Mathematics, Standard B: Number Operations And Relationships
Performance Standards - Grade 8
By the end of grade eight, students will:
B.8.1 Read, represent, and interpret various rational numbers*
(whole numbers*, integers*, decimals, fractions, and percents)
with verbal descriptions, geometric models*, and mathematical
notation (e.g., expanded*, scientific*, exponential*)
B.8.2 Perform and explain operations on rational* numbers (add,
subtract, multiply, divide, raise to a power, extract a root,
take opposites and reciprocals, determine absolute value)
B.8.3 Generate and explain equivalencies among fractions, decimals,
and percents
B.8.4 Express order relationships among rational numbers using
appropriate symbols (>, <, >, <, ≠)
B.8.5 Apply proportional thinking in a variety of problem situations
that include, but are not limited to
- ratios and proportions (e.g., rates, scale drawings*, similarity*)
- percents, including those greater than 100 and less than one
(e.g., discounts, rate of increase or decrease, sales tax)
B.8.6 Model* and solve problems involving number-theory concepts
such as
- prime* and composite numbers
- divisibility and remainders
- greatest common factors
- least common multiples
B.8.7 In problem-solving situations, select and use appropriate
computational procedures with rational numbers such as
- calculating mentally
- estimating
- creating, using, and explaining algorithms*
- using technology (e.g., scientific calculators, spreadsheets)
*See Glossary.
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