The Number System

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

1. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

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Resource | Resource Type Grade Level | Rating |
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This open-ended interactive Flash applet helps students develop operation and number sense, facility with number facts, and understanding of equations. Users designate single-digit whole numbers or integers and operations on both sides of an equation and test for balance. Users can enter numbers by using the keyboard or arrow buttons or by dragging number tiles. Each element can be hidden and a seesaw may be toggled on/off. Teachers may use this applet to lead instruction, or students may use it independently to perform specific investigations or explore freely. Supplementary documents include Objectives, containing teaching suggestions, and a student recording sheet. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5, 6+ | |

This flexible interactive applet helps students develop number sense and fluency as they explore number sequences and patterns. Users can select preset or random number lines, or create their own by entering starting numbers and increments. Colored blocks can be dragged to hide or reveal specific terms in any sequence. Starting numbers and increments may be positive or negative; they may also be decimals. An Ideas page suggests possible uses for this applet. | Activity, Interactive Media Grade Level: K, 1, 2, 3, 4, 5, 6+ | |

This web page links to a series of 6 pages of number puzzles (141 altogether) which develop flexibility and computational fluency. Puzzles provide a target number and several other numbers, each of which must be used exactly once to arrive at the target. Solvers may use any of the four basic operations (addition, subtraction, multiplication, division) and parentheses. Most puzzles are solvable with whole numbers, but a few solutions involve fractions. Each puzzle contains a hint as well as at least one solution. Red asterisks indicate more difficult puzzles. | Activity, Problem Set Grade Level: 3, 4, 5, 6+ | |

This flexible, interactive Flash applet allows students to explore number patterns and to develop number sense and fluency with addition, subtraction, and multiplication. The student or teacher enters a starting number and a step increment. Both values may be up to 4 digits and either positive or negative. The user then mentally carries out the sequence and enters the resulting 10th and 11th terms. The first 9 terms are color-coded in groups of 3 and may be shown or hidden one group at a time. Users have the option of hiding or showing the starting number and/or the increment. | Activity, Interactive Media Grade Level: K, 1, 2, 3, 4, 5, 6+ |