Number Sense and Operations Strand

Students engage in problem solving, communicating, reasoning, connecting, and representing as they:

3.N.1    Exhibit an understanding of the values of the digits in the base ten number system by reading, modeling, writing, comparing, and ordering whole numbers   through 9,999.

3.N.2    Represent, order, and compare numbers through 9,999. Represent numbers using expanded notation (e.g., 853 = 8 x 100 + 5 x 10 + 3), and written out in words (e.g., eight hundred fifty-three).

3.N.3    Identify and represent fractions (between 0 and 1 with denominators through 10) as parts of unit wholes and parts of groups. Model and represent a mixed number (with denominator 2, 3, or 4) as a whole number and a fraction, e.g., 1 2/3, 3 1/2.

3.N.4    Locate on the number line and compare fractions (between 0 and 1 with denominators 2, 3, or 4, e.g., 2/3).

3.N.5    Recognize classes to which a number may belong (odd numbers, even numbers, and multiples of numbers through 10). Identify the numbers in those classes, e.g., the class of multiples of 7 between 1 and 29 consists of 7, 14, 21, 28.

3.N.6    Select, use, and explain various meanings and models of multiplication (through 10 x 10). Relate multiplication problems to corresponding division problems, e.g., draw a model to represent 5 x 6 and 30 ÷ 6.

3.N.7    Use the commutative (order) and identity properties of addition and multiplication on whole numbers in computations and problem situations, e.g., 3 + 4 + 7 = 3 + 7 + 4 = 10 + 4.

3.N.8    Select and use appropriate operations (addition, subtraction, multiplication, and division) to solve problems, including those involving money.
This standard is intentionally the same as standard 4.N.10.

3.N.9    Know multiplication facts through 10 x 10 and related division facts, e.g., 9 x 8 = 72 and 72 ÷ 9 = 8. Use these facts to solve related problems, e.g., 3 x 5 is related to 3 x 50.

3.N.10    Add and subtract (up to four-digit numbers) and multiply (up to two-digit numbers by a one-digit number) accurately and efficiently.

3.N.11    Round whole numbers through 1,000 to the nearest 10, 100, and 1,000.

3.N.12    Understand and use the strategies of rounding and regrouping to estimate quantities, measures, and the results of whole-number computations (addition, subtraction, and multiplication) up to two-digit whole numbers and amounts of money to \$100, and to judge the reasonableness of the answer.

3.N.13    Use concrete objects and visual models to add and subtract (only when the answer is greater than or equal to zero) common fractions (halves, thirds, fourths, sixths, and eighths) with like denominators.