# 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 Eight Mathematics,  the focus is 1) formulating and reasoning about expressions and equations,  including modeling an association in vicariate   data with a linear equation and solving linear equations and systems of  linear equations; 2) grasping the concept of a function and using functions to  describe quantitative relationships; 3) analyzing two and three dimensional  space and figures using distance, angle, similarity, and congruence, and  understanding and applying the Pythagorean Theorem.

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 eight is centered around the following Common Core domains and  standards: The Number System

• know that  there are numbers that are not rational, and approximate them by rational  numbers

Expressions & Equations

• work with  radicals and integer exponents
• understand  the connections between proportional relationships, lines and linear equations
• analyze and solve linear equations and pairs of simultaneous linear equations

Functions

• define, evaluate, and compare functions
• use functions to model relationships between quantities

Geometry

• understand congruence and similarity using physical models, transparencies,  or geometry software
• understand and apply the Pythagorean Theorem
• solve real-world and mathematical problems involving volume of cylinders,  cones, and spheres

Statistics & Probability

• investigate patterns of association in bivariate data