Number and Operations in Base Ten

Understand place value.

- 10 can be thought of as a bundle of ten ones — called a "ten."
- The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.
- The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).

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This FAQ page from the Teacher2Teacher service at The Math Forum @ Drexel contains links to many resources offering ideas for celebrating the 100th Day of School. Resources include T2T discussions, children's literature, teacher resource books, and web sites. | Activity, Lesson Plans, Reference Materials, Community Grade Level: K, 1, 2 | |

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+ | |

In this Flash game, students may use a variety of activities to practice counting, collecting, exchanging, and making change for coins. Coin representations may show their amounts or not; coins may also be represented by coin tiles on a 10x10 grid, to help visualize their values. The five activities are: count, in which students determine the value of a given set of coins; collect, in which students choose coins to represent a given value; exchange, in which students use the smallest number of coins to represent a given value; change from coins, in which students are given a set of coins and asked how much change would be for a dollar (essentially counting up); and change from value, in which students are given a price owed (from a dollar) and asked to make change. There is a "bank" at the lower left side of the applet in which coins may be exchanged for other coins of the same value. | Activity Grade Level: Pre-K, K, 1, 2, 3, 4, 5 | |

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 100 grid has a variety of open-ended uses. Users can "make" as many counters as they choose from among three different kinds, and then drag them onto the grid, allowing any number to be covered by up to 3 different markers at one time. An Ideas page offers possible tasks and games suited to the applet. | Activity, Interactive Media Grade Level: K, 1, 2, 3, 4, 5 | |

This interactive Flash applet supports the exploration of numbers to 100 by simulating a 100-bead string. A teacher or child can move all or some beads to the left or right to add and subtract. The controls allow users to move beads individually or 10 at a time to model different counting and calculation strategies. Users can hide or show the numbers represented by the beads. This applet lends itself well to use on an interactive white board. A pdf guide to this collection of teaching applets is cataloged separately. | Activity, Interactive Media Grade Level: K, 1, 2 | |

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 |