




Archived Information
Mathematics Curriculum Framework  November 2000
Learning Standards
Number Sense and Operations for Grades 910

Understand numbers, ways of representing numbers, relationships among numbers, and number systems 

Understand meanings of operations and how they relate to one another


Compute fluently and make reasonable estimates 
Learning Standards
Students engage in problem solving, communicating, reasoning, connecting, and representing as they:
10.N.1 
Identify and use the properties of operations on real numbers, including the associative, commutative, and distributive properties; the existence of the identity and inverse elements for addition and multiplication; the existence of n^{th} roots of positive real numbers for any positive integer n; and the inverse relationship between taking the n^{th} root of and the n^{th} power of a positive real number.

10.N.2 
Simplify numerical expressions, including those involving positive integer exponents or the absolute value, e.g., 3(24  1) = 45, 43  5 + 6 = 14; apply such simplifications in the solution of problems.

10.N.3 
Find the approximate value for solutions to problems involving square roots and cube roots without the use of a calculator, e.g., .

10.N.4 
Use estimation to judge the reasonableness of results of computations and of solutions to problems involving real numbers. 
Exploratory Concepts and Skills
for Grades 910 and SingleSubject Courses
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Last Updated: November 1, 2000


