3rd+Grade+COMMON+CORE+Mathematics+Grade+Level+Expectations


 * Mathematics **
 * Grade Level Expectations at a Glance **
 * **Standard ** || **Grade Level Expectation ** ||
 * **Third Grade ** ||
 * 1. Number Sense, Properties, and Operations |||| # The whole number system describes place value relationships and forms the foundation for efficient algorithms
 * 1) Parts of a whole can be modeled and represented in different ways
 * 2) Multiplication and division are inverse operations and can be modeled in a variety of ways ||
 * 2. Patterns, Functions, and Algebraic Structures |||| Expectations for this standard are integrated into the other standards at this grade level. ||
 * 3. Data Analysis, Statistics, and Probability |||| # Visual displays are used to describe data ||
 * 4. Shape, Dimension, and Geometric Relationships |||| # Geometric figures are described by their attributes
 * 1) Linear and area measurement are fundamentally different and require different units of measure
 * 2) <span style="font-family: 'Verdana','sans-serif'; font-size: 13px;">Time and attributes of objects can be measured with appropriate tools ||

__<span style="font-family: 'Verdana','sans-serif'; font-size: 13px;">From the Common State Standards for Mathematics, Page 21. __

**//<span style="font-family: 'Verdana','sans-serif'; font-size: 13px;">Mathematics | Grade 3 //** //<span style="font-family: 'Verdana','sans-serif'; font-size: 13px;">In Grade 3, instructional time should focus on four critical areas: (1) developing understanding of multiplication and division and strategies for multiplication and division within 100; (2) developing understanding of fractions, especially unit fractions (fractions with numerator 1); (3) developing understanding of the structure of rectangular arrays and of area; and (4) describing and analyzing two-dimensional shapes. // //<span style="font-family: 'Verdana','sans-serif'; font-size: 13px;">(1) Students develop an understanding of the meanings of multiplication and division of whole numbers through activities and problems involving equal-sized groups, arrays, and area models; multiplication is finding an unknown product, and division is finding an unknown factor in these situations. For equal-sized group situations, division can require finding the unknown number of groups or the unknown group size. Students use properties of operations to calculate products of whole numbers, using increasingly sophisticated strategies based on these properties to solve multiplication and division problems involving single-digit factors. By comparing a variety of solution strategies, students learn the relationship between multiplication and division. // //<span style="font-family: 'Verdana','sans-serif'; font-size: 13px;">(2) Students develop an understanding of fractions, beginning with unit fractions. Students view fractions in general as being built out of unit fractions, and they use fractions along with visual fraction models to represent parts of a whole. Students understand that the size of a fractional part is relative to the size of the whole. For example, 1/2 of the paint in a small bucket could be less paint than 1/3 of the paint in a larger bucket, but 1/3 of a ribbon is longer than 1/5 of the same ribbon because when the ribbon is divided into 3 equal parts, the parts are longer than when the ribbon is divided into 5 equal parts. Students are able to use fractions to represent numbers equal to, less than, and greater than one. They solve problems that involve comparing fractions by using visual fraction models and strategies based on noticing equal numerators or denominators. // //<span style="font-family: 'Verdana','sans-serif'; font-size: 13px;">(3) Students recognize area as an attribute of two-dimensional regions. They measure the area of a shape by finding the total number of same-size units of area required to cover the shape without gaps or overlaps, a square with sides of unit length being the standard unit for measuring area. Students understand that rectangular arrays can be decomposed into identical rows or into identical columns. By decomposing rectangles into rectangular arrays of squares, students connect area to multiplication, and justify using multiplication to determine the area of a rectangle. // //<span style="font-family: 'Verdana','sans-serif'; font-size: 13px;">(4) Students describe, analyze, and compare properties of two-dimensional shapes. They compare and classify shapes by their sides and angles, and connect these with definitions of shapes. Students also relate their fraction work to geometry by expressing the area of part of a shape as a unit fraction of the whole. //