# 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 Four Mathematics,  the focus is 1) developing understanding and fluency with multi-digit  multiplication, and developing understanding of dividing to find quotients  involving multi-digit dividends; 2) developing an understanding of fraction  equivalence, addition and subtraction of fractions with like denominators, and  multiplication of fractions with whole numbers; 3) understanding that geometric  figures can be analyzed and classified based on their properties, such as  having parallel sides, perpendicular sides, particular angle measure and  symmetry.

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 four is centered around the following Common Core domains and  standards: Operations & Algebraic Thinking

• use the  four operations with whole numbers to solve problems
• gain  familiarity with factors and multiples
• generate  and analyze patterns

Numbers and Operations in Base Ten

• generalize place value understanding for multi-digit whole numbers
• use place value understanding and properties of operations to perform  multi-digit arithmetic

Number & Operations—Fractions

• extend understanding of fraction equivalence and ordering
• build fractions from unit fractions by applying and extending previous  understandings of operations on whole numbers
• understand decimal notation for  fractions, and compare decimal fractions

Measurement  & Data

• solve  problems involving measurement and conversion of measurements from a larger  unit to a smaller unit
• represent  and interpret data
• geometric  measurement-understand concepts of angle and measure angles

Geometry

• draw and  identify lines and angles, and classify shapes by properties of their lines, angles  and symmetry