Number and Operations in Base Ten

Perform operations with multi-digit whole numbers and with decimals to hundredths.

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This 68-page pdf document demonstrates the connections between the CCSS content standards and the mathematical practice standards. It is a compilation of research, standards from several states, instructional strategies, common misconceptions, and examples for each standard at the grade 5 level. It is intended to help teachers understand what each standard means in terms of what students must know and be able to do. Additional flip books are cataloged separately for grades K-4. | Instructional Strategy, Reference Materials Grade Level: 5 | |

This web page provides links to resources aligned to the CCSS that guide and support fifth grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS), Problems of the Month, (POM home page is cataloged separately) and videos of public lessons and number talks developed by the Noyce Foundation are included. The tasks were designed to measure students' ability to solve non-routine problems, explain and justify their solutions, and promote high level thinking skills. They include the scoring rubric, student responses, and discussion of student understanding and misconceptions. Resources are listed for specific grade 5 standards and are also organized by progression for an alternate search route. | Instructional Strategy, Problem Set, Reference Materials, Video Grade Level: 5 | |

This page provides examples of 5th Grade Number (Operations and Algebraic Thinking, Number and Operations in Base Ten, and Number Operations-Fractions) activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for the 5th Grade Number Activities listed are in PDF format. | Activity, Game Grade Level: 5 | |

This lesson plan helps students understand multi-digit division by constructing area models. The included interactive provides two example problems and helps connect the model to the traditional long division algorithm. Students solve their own problems using graph paper and/or base-10 blocks and progress toward mental strategies. | Activity, Interactive Media, Lesson Plans Grade Level: 5 | |

This question and answer service for math students and their teachers offers a searchable archive all about place value at the elementary level. Topics addressed include rounding, estimating, significant digits, and scientific notation. | Community Grade Level: 3, 4, 5, 6+ | |

This Flash game develops students' computational fluency and flexibility. It can be played alone or with others. Players choose 6 face-down number cards, and the applet provides a target number. Number cards include one each of 25, 50, 75, and 100, and multiple copies of 1 to 10. The goal is to use the selected numbers and the four basic operations (addition, subtraction, multiplication, division) to arrive at the target. Players can ask the applet to Show a Solution, although others may be possible. Several rule and scoring variations are suggested. A full screen option facilitates use on an interactive board. (This game is not self-checking.) | Activity, Game, Interactive Media Grade Level: 3, 4, 5 | |

This collection of 6 games develops place value, operation sense and fluency, estimation, and strategic thinking. It is played on paper with a 6- or 9-sided die (printable pdf game sheets included). Players choose a game grid with empty cells representing the digits of a computation (addition, subtraction, multiplication, or division). They take turns rolling a die and placing the resulting number in a cell on their own grids. The goal is to create a sum/difference/product/quotient that is closest to a target number. Variations include using a decimal point and scoring options. Teachers' Notes include suggestions for introducing the game, discussion questions, support suggestions, and a link to a more challenging extension (Countdown, cataloged separately). | Activity, Game Grade Level: 2, 3, 4, 5, 6+ | |

For teachers of grade 5, NCTM offers online resources, many interactive, that support teaching of the specific areas defined by NCTM as Focal Points. Focal points are clusters of related knowledge, skills, and concepts, and for Grade 5 they are Division of Whole Numbers, Fractions and Decimals and 3-D Shapes. Commentary and links to Focal Points for grades K-8 are provided. Links to background information and further training opportunities are provided. | Curriculum, Reference Materials Grade Level: 5 | |

This document provides descriptions and examples of what each Mathematics Common Core standard means a Grade Five student will know, understand and be able to do. This "unpacking" of the standards provides instructional guidelines and was developed to assist North Carolina educators teach the Mathematics Common Core (Standard Course of Study). | Reference Materials Grade Level: 5 | |

This interactive activity (swf) allows a user to make decisions about the rate and the time of two runners so that the end is a photo finish. The learner chooses the first runner from a pull down menu of 13 names and then there are any where from 1 to 3 opponents to choose as the second runner. The learner must calculate the unit rates for each runner and identify the correct graph that shows their speeds. Using a new graph with both lines the player states who should start first, how many seconds later should the second runner start and what is the total time of the race. Finally a simulation of the race is displayed and the photo finishes. A summary table compares predictions to the actual race results. | Activity, Interactive Media Grade Level: 5, 6+ |