# 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 Seven Mathematics,  the focus is 1) developing an understanding of and apply proportional  relationships; 2) developing understanding of operations with rational numbers  and working with expressions and linear equations; 3) solving problems  involving scale drawings and informal geometric constructions, and working with  two and three dimensional shapes to solve problems involving area, surface  area, and volume; 4) drawing inferences about populations based on samples.

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 seven 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 and Probability

• develop understanding of statistical variability
• summarize and describe distributions