Number and Operations in Base Ten

Understand place value.

- 100 can be thought of as a bundle of ten tens — called a "hundred."
- The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).

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Resource | Resource Type Grade Level | Rating |
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This web site contains information and interactive applets related to our Hindu-Arabic number system. Users learn the history and structure of the system as well as how to count and write numbers. Users can learn and practice various algorithms for whole number computation and explore fractions, decimals and percents in our number system. The site explains various sets of numbers and how they relate to operations. | Activity, Interactive Media, Tutorial, Reference Materials Grade Level: 1, 2, 3, 4, 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 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 Java applet helps students understand place value and regrouping. Base 10 is the default, but users may choose to work in base 2 or 5. A user places (or removes) chips of three colors in three columns to represent numbers of up to three digits. When the number of chips in any column equals the base number, the user can exchange them for a chip in the next column. Similarly a chip of a higher value can be exchanged for the base number of chips of the lower value. The applet can be used to model addition and subtraction with regrouping. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5, 6+ | |

Students use this interactive Flash applet to practice comparing pairs of numbers and indicating their relationship by using greater than or less than symbols (> or <) to complete number sentences. Three levels provide practice with numbers up to 100, 1000, and 10000. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5 | |

This interactive Flash applet helps students explore place value and develop number sense within whole numbers, integers and decimals. It allows a child or teacher to select an interval in the given number line and show that interval divided into ten equal parts but on a larger scale, which can then be repeated. Users may choose the size of the interval between markers on the first number line and the starting number of that line, as well as whether to hide or show individual number lines and the numbers on them. This applet lends itself well for use on an interactive white board. A pdf guide to this collection of teaching applets is cataloged separately. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5 | |

This Flash applet is an interactive version of the classic game that develops number sense and strategic thinking. The computer generates a random secret number. The user makes guesses, taking advantage of the higher or lower clues provided, until the number is discovered. The goal is to find the secret number with as few attempts as possible. Three levels allow the user to adjust the range of possible numbers: up to 100, 500, or 1000. | Activity, Game, Interactive Media Grade Level: K, 1, 2, 3 | |

This webpage offers a variety of games which develop strategic thinking, analytical skills, and basic number skills. Three pdfs provide instructions and materials for sets of games played on reusable boards, on consumable sheets, and with number cards. The only other materials required are counters/chips, dice, and pens/pencils. The site also includes instructions for games that require only counters or paper and pencil. A short article describes the rationale for using such games in the classroom and offers suggestions for organizing and managing games and for maximizing their benefits. | Activity, Game, Instructional Strategy, Instructor Guide/Manual Grade Level: 1, 2, 3, 4, 5 | |

This simple game with 5 variations develops place value understanding and strategic thinking. It is played on paper with a 6- or 9-sided die (printable pdf game sheet included). Two players take turns rolling a die and placing the resulting number in one of their four cells, representing the places of a 4-digit number. In the basic version the player who creates the larger number wins. Variations include aiming for the smaller number or a predetermined target number, using a decimal point, placing numbers in an opponent's cells, and several scoring options. Teachers' Notes include suggestions for introducing the game, support suggestions, and a link to a more challenging extension (Dicey Operations, cataloged separately). | Activity, Game Grade Level: 2, 3, 4, 5 | |

This engaging web site contains information and interactive applets related to various number systems: Egyptian, Babylonian, Chinese, Greek, Roman, Mayan, and Arabic. Users learn the history and structure of each system as well as how to count and write numbers. The site also allows users to explore finger systems, calculating machines, other number bases, and "interesting numbers." A series of pages on data and graphs includes information and activities on gathering, analyzing, graphing and sorting data. (Because the section on the Arabic number system is so extensive, it is cataloged separately as a related resource.) | Activity, Interactive Media, Tutorial, Reference Materials Grade Level: 1, 2, 3, 4, 5 |