State of New Jersey Department of Education

STANDARD 4.1 (NUMBER AND NUMERICAL OPERATIONS): by Grade 12

Strands with Cumulative Progress Indicators

A. Number Sense

  1. Extend understanding of the number system to all real numbers.
  2. Compare and order rational and irrational numbers.
  3. Develop conjectures and informal proofs of properties of number systems and sets of numbers.

B. Numerical Operations

  1. Extend understanding and use of operations to real numbers and algebraic procedures.
  2. Develop, apply, and explain methods for solving problems involving rational and negative exponents.
  3. Perform operations on matrices.
    • Addition and subtraction
    • Scalar multiplication
  4. Understand and apply the laws of exponents to simplify expressions involving numbers raised to powers.

C. Estimation

  1. Recognize the limitations of estimation, assess the amount of error resulting from estimation, and determine whether the error is within acceptable tolerance limits.