Massachusetts Department of Elementary and Secondary Education
Go to Selected Program Area
Massachusetts State Seal
Students & Families Educators & Administrators Teaching, Learning & Testing Data & Accountability Finance & Funding About the Department Education Board  

Archived Information

Mathematics Curriculum Framework - November 2000

Learning Standards

Number Sense and Operations for Grades 9-10

cross symbol Understand numbers, ways of representing numbers, relationships among numbers, and number systems
solid circle symbol Understand meanings of operations and how they relate to one another
solid triangle symbol 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 nth roots of positive real numbers for any positive integer n; and the inverse relationship between taking the nth root of and the nth 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, 4|3 - 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., An equation: The square root of 3 squared minus 1 is similar to 2.8..
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 9-10 and Single-Subject Courses


< Previous Page
Number Sense and Operations
Learning Standards for Grades 7-8
Next Page >
Number Sense and Operations
Learning Standards for Grades 11-12

Last Updated: November 1, 2000
E-mail this page| Print View| Print Pdf  
Massachusetts Department of Elementary and Secondary Education Search·Public Records Requests · A-Z Site Index · Policies · Site Info · Contact ESE