# 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 Five Mathematics,  the focus is 1) developing fluency with addition and subtraction of fractions  and developing understanding of multiplication of fractions and of division of  fractions in limited cases; 2) extending division to two digit divisors,  integrating decimal fractions into the place value system and developing  understanding of operations with decimals to hundredths, and developing fluency  with whole number and decimal operations; 3) developing understanding of volume.

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

• write and  interpret numerical expressions
• analyze  patterns and relationships

Number & Operations in Base Ten

• understand  the place value system
• perform  operations with multi-digit whole numbers and with decimals to the hundredth

Number & Operationsâ€”Fractions

• use equivalent fractions as a strategy to add and subtract fractions
• apply and extend previous understandings of multiplication and division  to multiply and divide fractions

Measurement & Data

• convert like measurement units within a given measurement system
• represent and interpret data
• geometric measurement: understand concepts of volume and relate volume to  multiplication and to addition

Geometry

• graph points on the coordinate plane to solve real-world and mathematical  problems
• classify two-dimensional figures into categories based on their  properties