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Archived Information

Mathematics Curriculum Framework - November 2000

Learning Standards by Strand

Number Sense and Operations
for Grades 5-6

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:

6.N.1
Demonstrate an understanding of positive integer exponents, in particular, when used in powers of ten, e.g., 102, 105. cross symbol
6.N.2
Demonstrate an understanding of place value to billions and thousandths. cross symbol
6.N.3
Represent and compare very large (billions) and very small (thousandths) positive numbers in various forms such as expanded notation without exponents, e.g., 9724 = 9 x 1000 + 7 x 100 + 2 x 10 + 4. cross symbol
6.N.4
Demonstrate an understanding of fractions as a ratio of whole numbers, as parts of unit wholes, as parts of a collection, and as locations on the number line. cross symbol
6.N.5
Identify and determine common equivalent fractions, mixed numbers, decimals, and percents. cross symbol
6.N.6
Find and position integers, fractions, mixed numbers, and decimals (both positive and negative) on the number line. cross symbol
6.N.7
Compare and order integers (including negative integers), and positive fractions, mixed numbers, decimals, and percents. cross symbol
6.N.8
Apply number theory concepts-including prime and composite numbers, prime factorization, greatest common factor, least common multiple, and divisibility rules for 2, 3, 4, 5, 6, 9, and 10-to the solution of problems. cross symbol
6.N.9
Select and use appropriate operations to solve problems involving addition, subtraction, multiplication, division, and positive integer exponents with whole numbers, and with positive fractions, mixed numbers, decimals, and percents. solid circle symbol
6.N.10
Use the number line to model addition and subtraction of integers, with the exception of subtracting negative integers. solid circle symbol
6.N.11
Apply the order of operations for expressions involving addition, subtraction, multiplication, and division with grouping symbols (+, -, x, รท). solid circle symbol
6.N.12
Demonstrate an understanding of the inverse relationship of addition and subtraction, and use that understanding to simplify computation and solve problems. solid circle symbol
6.N.13
Accurately and efficiently add, subtract, multiply, and divide (with double-digit divisors) whole numbers and positive decimals. solid triangle symbol
6.N.14
Accurately and efficiently add, subtract, multiply, and divide positive fractions and mixed numbers. Simplify fractions. solid triangle symbol
6.N.15
Add and subtract integers, with the exception of subtracting negative integers. solid triangle symbol
6.N.16
Estimate results of computations with whole numbers, and with positive fractions, mixed numbers, decimals, and percents. Describe reasonableness of estimates. solid triangle symbol

 

Exploratory Concepts and Skills

  • Explore the addition and subtraction of positive and negative fractions.
  • Investigate the concepts of ratio and proportion.
  • Investigate the distributive property of multiplication over addition for double-digit multipliers, e.g., 12 x (10 + 3) is equivalent to 12 x 10 + 12 x 3.

 

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Number Sense and Operations
Learning Standards for Grades 3-4
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Number Sense and Operations
Learning Standards for Grades 7-8



Last Updated: November 1, 2000
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