# Diocese of Ogdensburg

## The Roman Catholic Church in Northern New York The Mathematics Program of the  schools of the Diocese of Ogdensburg is based on the National Common Core  Standards.  As with all of our  educational programs, all instruction is centered in our Catholic Faith  foundation.  In grade three mathematics,  the focus is 1) developing understanding of multiplication and division  strategies; 2) developing an understanding of fractions, especially unit  fractions; 3) developing an understanding of rectangular arrays and of area; 4)  describing and analyzing two-dimensional shapes.

In the context of all  mathematical instruction, students are expected to use basic mathematical  practices which include:

• making sense of problems and  persevere in solving them
• reason abstractly and quantitatively
• construct viable arguments and  critique the reasoning of others
• make models using mathematics
• use appropriate mathematical  tools strategically
• attend to precision
• look for and make use of  structure (patterns)
• look for repeated reasoning

The  content of grade three is centered around the following Common Core domains and  standards:

Operations & Algebraic  Thinking

• represent  and solve problems involving multiplication and division
• understand  properties of multiplication and the relationship between multiplication and division
• multiply  and divide within 100
• solve  problems involving the four operations, and identify and explain patterns in  arithmetic

Number & Operations in Base Ten

• use place value understanding and properties of operations to perform  multi-digit arithmetic

Number & Operations—Fractions

• develop understanding of fractions as numbers

Measurement and Data

• solve problems involving measurement and estimation of intervals of time,  liquid volumes, and masses of objects
• represent and interpret data
• geometric measurement: understand concepts of area and relate area to multiplication  and to addition
• geometric measurement: recognize perimeter as an attribute of plane  figures and distinguish between linear and area measures

Geometry

• reason with shapes and their attributes
• partition shapes  into parts with equal areas. Express the area of each part as a unit fraction  of the whole. For example, partition a shape into 4 parts with equal area,  and describe the area of each part as 1/4 of the area of the shape