The Number System

Apply and extend previous understandings of numbers to the system of rational numbers.

6. Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

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Resource | Resource Type Grade Level | Rating |
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This free iOS app helps develop spatial reasoning and strategic thinking. Users reflect seed squares (horizontally, vertically and diagonally) to grow larger pieces that eventually cover the given design space without spilling over. A graduated set of difficulty levels makes the game accessible to a wide range of ages. | Activity, Interactive Media, Mobile App Grade Level: 1, 2, 3, 4, 5 | |

This webpage contains a link to a downloadable Geometer's Sketchpad activity that familiarizes students with inequality signs (> and <) and introduces the use of the variable x to represent an unknown value. Students are challenged to deduce a number by collecting and analyzing clues that narrow its range of possible values in the fewest guesses. The page also includes a three-minute instructional video and downloadable PDFs of teacher notes and student worksheets. This activity opens on Geometer's Sketchpad as well as on iOS with Sketchbook Explorer (cataloged separately). | Activity, Instructional Strategy, Lesson Plans, Video Grade Level: 1, 2, 3, 4, 5, 6+ | |

This interactive Java applet allows users to plot a "house" on a -10 by 10 coordinate plane. A "view" mode allows users to enter an ordered pair and move the house to that location. The "guess" mode randomly plots the house on the plane and the user must enter the ordered pair for its location. An optional scoring feature allows users to keep track of the number correct. | Activity, Game, Interactive Media Grade Level: 4, 5, 6+ | |

Users investigate the Cartesian coordinate system by navigating a robot through a mine field in this interactive Java Applet. The x- and y- axes create the playing field using all four quadrants (-10 to 10) where the goal is to get the robot to its target without hitting any mines. Options include setting the number of mines and randomizing the placement of beginning and ending points. An optional scoring feature allows users to track their performance. | Activity, Interactive Media Grade Level: 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+ |