Number and Operations in Base Ten

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

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In this 15 minute video, Mary Holden and her 4th/5th grade class reason about the appropriateness of different computational methods (base-ten blocks, calculators, mental math, or paper and pencil) to specific problems. The video includes a description of how the teacher manages her multi-level class and encourages hands on exploration and discussion in small group learning sessions. At the conclusion of the video are reflection questions for professional development. | Activity, Instructional Strategy, Video Grade Level: 3, 4, 5 Resource is part of a PD collection | |

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 interactive Java applet helps users develop place value concepts involving addition of numbers with 1, 2, 3, or 4 digits. The virtual blocks are manipulated to model regrouping in order to solve addition problems posed by the applet. Users also may create and solve their own problems with whole numbers or up to 3 decimal places. The default of base 10 may be changed to any of the bases 2, 3, 4, or 5. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5, 6+ | |

This Java applet allows students to practice adding and subtracting whole numbers, decimals, or integers. Students use base blocks in blue to represent positive numbers, and red to represent either negative numbers or subtraction. The applet offers up to three decimal places, 2 to 4 columns, and bases from 2 through 5 and 10. Applet instructions and teaching ideas are available through the links at the top of the page. | Activity, Interactive Media Grade Level: 3, 4, 5, 6+ | |

This interactive Java applet helps users develop place value concepts involving subtraction of numbers with 1, 2, 3, or 4 digits. The virtual blocks are manipulated to model regrouping in order to solve whole number subtraction problems posed by the applet. Users also may create and solve their own problems with whole numbers or with up to 3 decimal places. When creating problems a user may change the default of base 10 to any of the bases 2, 3, 4, or 5. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5, 6+ | |

This interactive Flash game helps students develop strategic thinking and number sense while practicing basic operations. It is based on the word game Hangman, but uses digits and operations instead of words. Players are presented with an equation missing most of its digits. They try to complete the blanks by guessing the missing digits (0 - 9) before making four incorrect guesses and thereby releasing the catapult. Difficulty increases over four rounds of equations. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

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+ | |

In this lesson, students learn some of the pitfalls of doing surveys. They also learn to examine the distribution of data, including data clusters, the range and mode(s). The lesson plan is supported with curriculum and standards alignments, a handout, assessment materials (rtf format), and a video segment. | Lesson Plans, Video Grade Level: 3, 4, 5, 6+ |