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