Learning Standards
Number Sense and Operations
for Grades 7-8
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Understand numbers, ways of representing numbers, relationships among numbers, and number systems
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Understand meanings of operations and how they relate to one another
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Compute fluently and make reasonable estimates |
Learning Standards
Students engage in problem solving, communicating, reasoning, connecting, and representing as they:
| 8.N.1 |
Compare, order, estimate, and translate among integers, fractions and mixed numbers (i.e., rational numbers), decimals, and percents.
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| 8.N.2 |
Define, compare, order, and apply frequently used irrational numbers, such as √2 and π.
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| 8.N.3 |
Use ratios and proportions in the solution of problems, in particular, problems involving unit rates, scale factors, and rate of change.
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| 8.N.4 |
Represent numbers in scientific notation, and use them in calculations and problem situations.
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| 8.N.5 |
Apply number theory concepts, including prime factorization and relatively prime numbers, to the solution of problems.
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| 8.N.6 |
Demonstrate an understanding of absolute value, e.g., |-3| = |3| = 3.
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| 8.N.7 |
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.
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| 8.N.8 |
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).
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| 8.N.9 |
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.
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| 8.N.10 |
Estimate and compute with fractions (including simplification of fractions), integers, decimals, and percents (including those greater than 100 and less than 1).
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| 8.N.11 |
Determine when an estimate rather than an exact answer is appropriate and apply in problem situations.
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| 8.N.12 |
Select and use appropriate operations—addition, subtraction, multiplication, division, and positive integer exponents—to solve problems with rational numbers (including negatives).
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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.
last updated: November 1, 2000
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