State of New Jersey Department of Education

STANDARD 4.1 (NUMBER AND NUMERICAL OPERATIONS): by Grade 7

Strands with Cumulative Progress Indicators

A. Number Sense

  1. Extend understanding of the number system by constructing meanings for the following (unless otherwise noted, all indicators for grade 7 pertain to these sets of numbers as well):
    • Rational numbers
    • Percents
    • Whole numbers with exponents
  2. Demonstrate a sense of the relative magnitudes of numbers.
  3. Understand and use ratios, proportions, and percents (including percents greater than 100 and less than 1) in a variety of situations.
  4. Compare and order numbers of all named types.
  5. Use whole numbers, fractions, decimals, and percents to represent equivalent forms of the same number.
  6. Understand that all fractions can be represented as repeating or terminating decimals.

B. Numerical Operations

  1. Use and explain procedures for performing calculations with integers and all number types named above with:
    • Pencil-and-paper
    • Mental math
    • Calculator
  2. Use exponentiation to find whole number powers of numbers.
  3. Understand and apply the standard algebraic order of operations, including appropriate use of parentheses.

C. Estimation

  1. Use equivalent representations of numbers such as fractions, decimals, and percents to facilitate estimation.