Academic Standard

Number and Operations
Tennessee Diploma Project
Grade range: 
9 to 12
Conceptual StrandThe Number and Operations Standard describes deep and fundamental understanding of, and proficiency with, counting, numbers, and arithmetic, as well as an understanding of number systems and their structures.Guiding QuestionHow do students develop number sense that allows them to naturally decompose numbers, use particular numbers as referents, solve problems using the relationships among operations and knowledge about the base-ten system, estimate a reasonable result for a problem, and have a disposition to make sense of numbers, problems, and results?
Elements within this Standard
Course Level Expectation
Establish the relationships between the real numbers and geometry; explore the importance of irrational numbers to geometry.
Explore vectors as a numeric system, focusing on graphic representations and the properties of the operation.
Establish an ability to estimate, select appropriate units, evaluate accuracy of calculations and approximate error in measurement in geometric settings.
Check For Understanding
Analyze properties and aspects of pi (e.g. classical methods of approximating pi, irrational numbers, Buffons needle, use of dynamic geometry software).
Approximate pi from a table of values for the circumference and diameter of circles using various methods (e.g. line of best fit).
Recognize and apply real number properties to vector operations and geometric proofs (e.g. reflexive, symmetric, transitive, addition, subtraction,
Add vectors graphically and algebraically.
Multiply a vector by a scalar graphically and algebraically.
Analyze precision, accuracy, and approximate error in measurement situations.
State Performance Indicator
Analyze, apply, or interpret the relationships between basic number concepts and geometry (e.g. rounding and pattern identification in measurement, the
Perform operations on vectors in various representations.