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 one mathematics,  the focus is 1) developing understanding of addition, subtraction, and  strategies for additions and subtraction within 20; 2) developing understanding  of whole number relationships and place value including grouping in tens and  ones; 3) developing understanding of linear measurement and measuring lengths  as basic units; 4) reasoning about attributes of, and composing and decomposing,  geometric 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  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 one is centered around the following Common Core domains and  standards: Operations & Algebraic Thinking

  • represent  and solve problems involving addition and subtraction
  • understand  and apply properties of operations and the relationship between addition and  subtraction
  • add and  subtract within 20
  • work with  addition and subtraction equations

Numbers and Operations within Base  Ten

  • extend the counting sequence
  • understand place value
  • use place value understanding and properties of operations to add and  subtract

Measurement &  Data

  • measure lengths indirectly and by iterating length units
  • tell and write time and money
  • represent and interpret data


  • reason with shapes and their attributes
  • partition circles  and rectangles into two and four equal shares, describe the shares using the  words halves, fourths, and quarters