Office of Academic and Professional Standards
New Jersey Core Curriculum Content Standards

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4.1	Number and numerical operations All students will develop number sense and will perform standard numerical operations and estimations on all types of numbers in a variety of ways.

Choose a grade: K-2 3 4 5 6 7 8 9-12

Strands and Cumulative Progress Indicators
Building upon knowledge and skills gained in preceding grades, by the end of Grade 6, students will:

A.	Number Sense

1.	Use real-life experiences, physical materials, and technology to construct meanings for numbers (unless otherwise noted, all indicators for grade 6 pertain to these sets of numbers as well). All integers All fractions as part of a whole, as subset of a set, as a location on a number line, and as divisions of whole numbers All decimals
2.	Recognize the decimal nature of United States currency and compute with money.
3.	Demonstrate a sense of the relative magnitudes of numbers.
4.	Explore the use of ratios and proportions in a variety of situations.
5.	Understand and use whole-number percents between 1 and 100 in a variety of situations.
6.	Use whole numbers, fractions, and decimals to represent equivalent forms of the same number.
7.	Develop and apply number theory concepts in problem solving situations. Primes, factors, multiples Common multiples, common factors
8.	Compare and order numbers.

B.	Numerical Operations

1.	Recognize the appropriate use of each arithmetic operation in problem situations.
2.	Construct, use, and explain procedures for performing calculations with fractions and decimals with: Pencil-and-paper Mental math Calculator
3.	Use an efficient and accurate pencil-and-paper procedure for division of a 3-digit number by a 2-digit number.
4.	Select pencil-and-paper, mental math, or a calculator as the appropriate computational method in a given situation depending on the context and numbers.
5.	Find squares and cubes of whole numbers.
6.	Check the reasonableness of results of computations.
7.	Understand and use the various relationships among operations and properties of operations.
8.	Understand and apply the standard algebraic order of operations for the four basic operations, including appropriate use of parentheses.

C.	Estimation

1.	Use a variety of strategies for estimating both quantities and the results of computations.
2.	Recognize when an estimate is appropriate, and understand the usefulness of an estimate as distinct from an exact answer.
3.	Determine the reasonableness of an answer by estimating the result of operations.
4.	Determine whether a given estimate is an overestimate or an underestimate.

4.2	Geometry and measurement All students will develop spatial sense and the ability to use geometric properties, relationships, and measurement to model, describe and analyze phenomena.

4.3	Patterns and algebra All students will represent and analyze relationships among variable quantities and solve problems involving patterns, functions, and algebraic concepts and processes.

4.4	Data analysis, probability, and discrete mathematics All students will develop an understanding of the concepts and techniques of data analysis, probability, and discrete mathematics, and will use them to model situations, solve problems, and analyze and draw appropriate inferences from data.

4.5	Mathematical processes All students will use mathematical processes of problem solving, communication, connections, reasoning, representations, and technology to solve problems and communicate mathematical ideas.