# 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 six 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  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 six is centered around the following Common Core domains and standards: Ratios & Proportional Relationships

• understand  ratio concepts and use ratio reasoning to solve problems

The Number System

• apply and extend previous understandings of multiplication and division to  divide fractions by fractions
• compute fluently with multi-digit numbers and find common factors and  multiples
• apply and extend previous understandings of numbers to the system of  rational numbers

Expressions and Equations

• apply and extend previous understandings of arithmetic to algebraic expressions
• reason about and solve one-variable equations and inequalities
• represent and analyze quantitative relationships between dependent and  independent variables

Geometry

• solve real-world and mathematical problems involving area, surface area,  and volume

Statistics & Probability

• develop understanding of statistical variability
• summarize and describe distributions
• giving quantitative  measures of center (median and/or mean) and variability (inter-quartile range  and/or mean absolute deviation), as well as describing any overall pattern and  any striking deviations