Number Sense and Operations
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Standard |
| Students engage in problem solving, communicating, reasoning, connecting, and representing as they: |
| Compare, order, estimate, and translate among integers, fractions and mixed numbers (i.e., rational numbers), decimals, and percents. (8.N.1) |
| Define, compare, order, and apply frequently used irrational numbers, such as Ö2 and p. (8.N.2) |
| Use ratios and proportions in the solution of problems, in particular, problems involving unit rates, scale factors, and rate of change. (8.N.3) |
| Represent numbers in scientific notation, and use them in calculations and problem situations. (8.N.4) |
| Apply number theory concepts, including prime factorization and relatively prime numbers, to the solution of problems. (8.N.5) |
| Demonstrate an understanding of absolute value, e.g., |-3| = |3| = 3. (8.N.6) |
| Apply 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.7) |
| Demonstrate 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.8) |
| Use 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.9) |
| Estimate and compute with fractions (including simplification of fractions), integers, decimals, and percents (including those greater than 100 and less than 1). (8.N.10) |
| Determine when an estimate rather than an exact answer is appropriate and apply in problem situations. (8.N.11) |
| Select and use appropriate operations—addition, subtraction, multiplication, division, and positive integer exponents—to solve problems with rational numbers (including negatives). (8.N.12) |
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Exploratory Concepts and Skills for Grades 7-8 |
| Number Sense and Operations |
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