Mathematics Performance Standard B Grade 8

Mathematics, Standard B: Number Operations And RelationshipsPerformance 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.