Number and Operations in Base Ten

Understand the place value system.

3. Read, write, and compare decimals to thousandths.

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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 question and answer service for math students and their teachers offers a searchable archive all about numbers and number sense at the elementary level. | Reference Materials, Community Grade Level: 3, 4, 5, 6+ | |

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 interactive Java puzzle helps students develop decimal number sense and systematic analysis skills. The applet displays 7 interlocking circles and a set of 14 numbers (in tenths), 5 of them already placed in the circles. Solvers arrange the remaining numbers in the empty sections of the circles so that the three sections of each circle sum to 3. Parent/Teacher information offers instructions and implementation suggestions. | Activity, Interactive Media Grade Level: 4, 5, 6+ | |

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+ | |

This interactive applet helps develop number sense. The user mentally estimates a number that is represented by an arrow on a number line and then checks the estimate by clicking to have the exact number revealed. Users can choose a number range for whole numbers (between 0 and 10, 100, 1000 or 10,000) or decimals (tenths or hundredths between 0 and 1). An optional scale of tick marks provides guidance. The activity does not provide a scoring component. | Interactive Media Grade Level: K, 1, 2, 3, 4, 5 | |

Teachers can use this interactive tool to help students develop fraction sense. After a teacher places a fraction, decimal, or expression on the screen, students determine which given benchmark number it is closest to. An adjustable number line supports conceptual understanding. This page includes a video demonstration of the tool and sample lessons from the Conceptua curriculum. Free registration is required to use the tool. A paid subscription is necessary to access full curriculum and allow full student use. | Activity, Demonstration, Interactive Media, Video Grade Level: 3, 4, 5, 6+ | |

This 5-minute video highlights a grade 4 class using a game, Fill Two, to reinforce their understanding of decimals, specifically tenths and hundredths. Teacher Tiffani Poirier provides rationale and demonstrates implementation strategies. Downloadable support materials are included: lesson plan, game materials, teacher instructions, video transcript, and a SMART Board Notebook file. | Activity, Game, Lesson Plans, Video Grade Level: 4, 5, 6+ | |

This interactive Flash applet helps students develop number sense and operation sense within the context of a soccer game for two players. The applet presents a a dividend and a target range for a quotient. Each player in turn tries to estimate a divisor that will produce a quotient in the given range. After "shooting," the player scores a point according to whether their estimate works and sees the actual quotient that results. Users may choose to call up a built-in calculator. They may view their "workings" windows to view a history their previous plays. | Activity, Game, Interactive Media Grade Level: 3, 4, 5 |