Number and Operations in Base Ten

Generalize place value understanding for multi-digit whole numbers.

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Resource | Resource Type Grade Level | Rating |
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With this interactive applet students can develop their understanding of place value and the relative position and magnitude of numbers in the base-10 number system. Users drag given numbers to their position on a number line, zooming in and out to increase precision. They can select from six levels of difficulty (Tens, Hundreds, Thousands, Millions, Billions, Decimals) and from 1 to 3 dots. There are three modes: Explore, Practice, Test. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5 | |

This 5-minute video makes effective use of color coding to explain how to round a given 7-digit number to six different levels of precision. | Demonstration, Video Grade Level: 4, 5 | |

This interactive Shockwave applet provides practice in rounding numbers. Each level presents 10 grids of numbers, each with a specific challenge. Users select the number in the grid that is rounded correctly. Level 1 includes rounding whole numbers and numbers of one decimal place to the nearest unit, 10 or 100. Level 2 involves rounding off numbers with up to six decimal places. Level 3 includes rounding to a number of significant digits for whole numbers and decimals. A Key Ideas window explains how to round. | Activity, Interactive Media Grade Level: 4, 5, 6+ | |

Students can use this series of interactive Flash applets to practice locating numbers on a number line. Players are asked to set the course of a spaceship with a specific set of bearings for each of four levels, first with whole numbers and then decimals of up to three places. Students apply their knowledge of place value to select increasingly more precise intervals until the given number is located. The graphics are engaging and provide motivational value. | Activity, Interactive Media Grade Level: 3, 4, 5, 6+ | |

This 8-minute video demonstrates how to perform subtraction with regrouping. The presenter uses base-10 blocks to explain the rationale and to make a visual connection with the standard algorithm. The examples involve 2-digit and 3-digit numbers. | Demonstration, Lecture/Presentation, Tutorial, Video Grade Level: 2, 3, 4, 5 | |

This paper describes a research project carried out by nine teachers from diverse schools in Australia. The project explored the role of a commonly used teaching activity, referred to in this report as the Base Ten Game, in developing children’s understanding of our number system beginning with whole numbers and extending to decimals. The report includes a description of the game, two case studies, and results and implications for the classroom. An appendix includes strategies for managing the Base Ten Game. | Activity, Case Study, Game, Instructional Strategy, Reference Materials Grade Level: K, 1, 2, 3, 4, 5 Resource is part of a PD collection | |

This interactive Flash applet helps students develop number sense and basic number concepts. Players attempt to guess the wizard's number by clicking on dragons to get clues related to the digit sum, a more/less range comparison, rounding, how far it is to the next hundred, comparison of tens and units, the number of units, and parity. Clicking on the wizard opens a keypad on which to type the secret number. A version covering numbers 0-100 is cataloged separately. | Activity, Interactive Media Grade Level: 2, 3, 4, 5 |

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