01 GraphGrid: getting started

The GraphGrid is a frame with rubber bands that fits on the TactiPad. It includes four additional tools: hyperbole, parabola, sintang and lens. The configuration of the bands in rows, and/or columns and axes gives it its functionality for X/Y and 3D coordinate systems. For a description of the graph grid frame and on how to modify the configuration of the rubber bands, see the section: GraphGrid frame. For applications of the GraphGrid frame, see the sections: 02 …

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02 GraphGrid frame

Detailed description The GraphGrid frame is a frame (36 by 28 cm) with a thickness of four millimetres. It needs to be mounted on the TactiPad drawing board like a picture frame. Eight oval holes in the frame fit around the knobs of the TactiPad to hold it in place. Three corners are rounded. The fourth corner is flattened. Along the inner edge, small curved hooks are placed at a regular interval of 1 centimetre. …

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03 Games and scores

Cells as playing field for games A playing field for games based on cells such as tic tac toe, battleship etc. can be created with the grid boxes that mature by the crossing rubber bands. The ‘game board borders’ can be marked with high rubber bands. The default distance of two centimetres for the cell size is enough, but reconfiguring the  rubber bands to a cell size of three centimetres offers more space. Yahtzee Keep …

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04 Connecting dots, house, cube and more

Coordinate system A crossing of two rubber bands can be considered as a coordinate in a grid system. Starting in the upper left corner of the GraphGrid to the right we call the X direction. Going down is the Y direction. Each crossing is identified by two numbers. With this method, the coordinate 1,1 is the lower right hand corner of the top left cell. The GraphGrid frame does not need axes. The cell size …

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05 Simple bar chart

The columns of the GraphGrid frame can be considered as bars of a bar chart. The value in each bar is indicated by the number of marked cells, starting from the lower edge of the frame or from an additional rubber band. The lower edge or the rubber band is the X axis. A cell can stand for one or multiple units or for a percentage. Bar chart for birthday data This bar chart example …

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06 Drawing a graph in a coordinate system

The easiest way to draw a graph is to draw the x- and y-axis first using the ruler and measurement indications on the TactiPad and then place the GraphGrid on the drawing board. The axes, the higher rubber bands, can now coincide with the axes drawn on the paper. You can then easily count and draw the x and y values of the graph along the flexible grid lines. Because the grid lines are flexible, …

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07 3D coordinate system

Although the main application for the GraphGrid is often a regular rectangular grid, there are other applications in which one or more rubber bands can be placed diagonally, in addition to the regular horizontal and vertical axes. 3D coordinate system By adding a third axis which passes through the intersection of the other two axes (the origin) at an angle between 30 and 45 degrees a 3D coordinate system occurs. In here you can create …

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08 Parabola

Detailed description The inner space of this U-shaped tool is a parabola. It has the contour of the function X to the power of two. The two poles of the U have indented centimetre indications along the outside. Three medium size alignment indents are provided; one in the middle of the bottom side and one in each of the two poles. Pushpin markers are provided in the top surface of the tool. The contour of …

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09 Hyperbole

Global description The hyperbole represents the function 1 divided by X (1/x). The tool is L-shaped. Both parts of the L have a length of 10 centimetres. The inner corner of the tool is curved. By nature of the formula, the tails of the tool become very thin. To maintain the sturdiness of the tool, additional material has been added. For alignment purposes, a small square is left out at the lower left corner of …

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10 SinTang: tool for the sine, cosine and tangent graph

Global description The SinTang tool combines graphs for three functions; the sin(X), the cos(X) and the tan(X). More precise, a half period of the sine graph and a quarter of the tangent graph. The sine graph, is the ‘hill’ contour which is the first half period of the sine graph. The cosine graph is the for 90 degrees shifted to the left sine graph. When placing the tool looking at the hill, the top side …

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