Created on: September 21, 2007

Website Address: https://www.curriki.org/oer/Grades-5-6--Number-Sense-and-Operations

Mathematics Curriculum Framework

November 2000## Learning Standards by Strand

### Number Sense and Operations

for Grades 5-6

#### Learning Standards

Students engage in problem solving, communicating, reasoning, connecting, and representing as they:

#### Exploratory Concepts and Skills

November 2000

for Grades 5-6

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 |

6.N.1 | Demonstrate an understanding of positive integer exponents, in particular, when used in powers of ten, e.g., 102, 105. |

6.N.2 | Demonstrate an understanding of place value to billions and thousandths. |

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. |

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. |

6.N.5 | Identify and determine common equivalent fractions, mixed numbers, decimals, and percents. |

6.N.6 | Find and position integers, fractions, mixed numbers, and decimals (both positive and negative) on the number line. |

6.N.7 | Compare and order integers (including negative integers), and positive fractions, mixed numbers, decimals, and percents. |

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. |

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. |

6.N.10 | Use the number line to model addition and subtraction of integers, with the exception of subtracting negative integers. |

6.N.11 | Apply the Order of Operations for expressions involving addition, subtraction, multiplication, and division with grouping symbols (+, -, x, ÷). |

6.N.12 | Demonstrate an understanding of the inverse relationship of addition and subtraction, and use that understanding to simplify computation and solve problems. |

6.N.13 | Accurately and efficiently add, subtract, multiply, and divide (with double-digit divisors) whole numbers and positive decimals. |

6.N.14 | Accurately and efficiently add, subtract, multiply, and divide positive fractions and mixed numbers. Simplify fractions. |

6.N.15 | Add and subtract integers, with the exception of subtracting negative integers. |

6.N.16 | Estimate results of computations with whole numbers, and with positive fractions, mixed numbers, decimals, and percents. Describe reasonableness of estimates. |

- 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.