Mathematics Curriculum Framework
November 2000

Learning Standards

Number Sense and Operations
for Grades 7-8

cross symbolUnderstand numbers, ways of representing numbers, relationships among numbers, and number systems
solid circle symbolUnderstand meanings of operations and how they relate to one another
solid triangle symbolCompute fluently and make reasonable estimates

Learning Standards

Students engage in problem solving, communicating, reasoning, connecting, and representing as they:
8.N.1Compare, order, estimate, and translate among integers, fractions and mixed numbers (i.e., rational numbers), decimals, and percents.
8.N.2Define, compare, order, and apply frequently used irrational numbers, such as ?2 and ?.
8.N.3Use ratios and proportions in the solution of problems, in particular, problems involving unit rates, scale factors, and rate of change.
8.N.4Represent numbers in scientific notation, and use them in calculations and problem situations.
8.N.5Apply number theory concepts, including prime factorization and relatively prime numbers, to the solution of problems.
8.N.6Demonstrate an understanding of absolute value, e.g., |-3| = |3| = 3.
8.N.7Apply the rules of powers and roots to the solution of problems. Extend the Order of Operations to include positive integer exponents and square roots.
8.N.8Demonstrate an understanding of the properties of arithmetic operations on rational numbers. Use the associative, commutative, and distributive properties; properties of the identity and inverse elements (e.g., -7 + 7 = 0; 3/4 x 4/3 = 1); and the notion of closure of a subset of the rational numbers under an operation (e.g., the set of odd integers is closed under multiplication but not under addition).
8.N.9Use the inverse relationships of addition and subtraction, multiplication and division, and squaring and finding square roots to simplify computations and solve problems, e.g. multiplying by 1/2 or 0.5 is the same as dividing by 2.
8.N.10Estimate and compute with fractions (including simplification of fractions), integers, decimals, and percents (including those greater than 100 and less than 1).
8.N.11Determine when an estimate rather than an exact answer is appropriate and apply in problem situations.
8.N.12Select and use appropriate operations—addition, subtraction, multiplication, division, and positive integer exponents—to solve problems with rational numbers (including negatives).

Exploratory Concepts and Skills
for Grades 7-8 and Single-Subject Courses

  • Investigate the meaning of significant digits.
  • Investigate negative integral exponents and their use in scientific and calculator notation.

Non-profit Tax ID # 203478467