The AZ College and Career Readiness Standards in Math are organized using:
· Domains--overarching ideas that connect topics across the grades,
· Clusters-- an illustration of the progression of increasing complexity from grade to grade and
· Standards –a definition of what students should know and be able to do at each grade level.
Embedded in all grades and all aspects of math are mathematical practices – habits of mind that students should develop to foster mathematical understanding and expertise.
The Math Standards for K--5 are organized in the following domains: counting and cardinality, operations and algebraic thinking, number and operations in base ten, number and operations – fractions, measurement and data, and geometry. Different domains have emphasis at different grade levels as appropriate to the age and developmental level of the students.
The Math Standards for grades 6--8 are organized in similar domains: ratios and proportional relationships, the number system, expressions and equations, functions, geometry, and statistics and probability. These represent a logical progression in math understanding and conceptual development. Having built a strong foundation in K-5, our students are prepared for robust learning in geometry, algebra, and probability and statistics. The 6--8 standards provide a coherent and rich preparation for high school mathematics.
The grade-by-grade Math Standards provide students with a solid foundation in whole numbers, addition, subtraction, multiplication, division, fractions and decimals. All of these taken together provide students with a strong foundation for learning and applying more demanding math concepts and procedures, and for moving into robust applications in later years.
The Math Standards provide guidance to teachers on how to navigate their way through knotty topics such as fractions, decimals, and geometry, and do so by maintaining a continuous progression from grade to grade. Today’s best state standards as well as international models, education research, and the insights of professional mathematicians informed these grade-by-grade progressions.
Why all the change? By drawing on the best lessons from high-performing countries, the standards have been developed to provide the foundation for redesigning and focusing the math curriculum—in an attempt to move away from the “mile wide and inch deep” curricula currently in place throughout the U.S. Readiness for 21st Century college and career demands is the inspiration.
The focus in the Math Standards is comparable to that seen in other high-performing countries. It allows students time to master topics by developing procedural fluency as well as conceptual understanding.