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Geoboard
A geoboard is a board fitted with a grid of evenly spaced pegs. By stretching rubber bands between pegs, lines can be modeled on a coordinate grid in a concrete, hands-on way. To find the slope of a line on a geoboard, a rubber band is first stretched between two pegs to represent the line, then a third peg is used to form a right angle so that one side of the resulting right triangle is vertical and the other is horizontal. The vertical side gives the rise and the horizontal side gives the run, from which the slope is calculated as . When using a geoboard, it is helpful to start at a peg on the left and connect to a peg on the right — a rise that goes upward is positive and a rise that goes downward is negative, while the run (moving left to right) is always positive.
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Elementary Algebra @ OpenStax
Ch.4 Graphs - Elementary Algebra @ OpenStax
Algebra
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Prealgebra
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You are an inventory manager reviewing a linear graph that tracks the depletion of warehouse stock over a month. The line on the graph falls from left to right. Based on the definition of slope, what does this downward direction indicate about the numerical value of the slope?
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A site supervisor is reviewing the blueprints for a new warehouse. The documentation describes the slope of the main loading ramp as a single numerical value. According to the standard mathematical definition of slope, what two characteristics of the ramp does this value measure?
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Learn After
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An apprentice in a metal fabrication shop uses a geoboard to determine the slope of a support brace. When calculating the slope (m) using the vertical 'rise' and horizontal 'run' measured on the board, which formula should the apprentice use?
A carpentry apprentice is using a geoboard to model the pitch of various roof designs for a client presentation. Match each term used in the geoboard method to its correct description.
An HVAC technician uses a geoboard to determine the pitch of a drainage pipe. In this modeling method, the vertical distance between the pegs is called the ____.
A construction apprentice is using a geoboard to model the pitch of a roof truss. Arrange the following steps in the correct order to determine the slope of a line using the geoboard method.
A building maintenance apprentice is using a geoboard to model the slope of a drainage pipe. When calculating the slope from left to right, if the pipe (represented by a rubber band) goes downward, the apprentice should record the 'rise' as a positive number.
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A plumbing apprentice is using a geoboard to model the slope of a waste line. According to the geoboard method, what geometric figure is created by the rubber bands when a third peg is used to identify the vertical 'rise' and horizontal 'run'?
A building maintenance apprentice is using a geoboard to model the slope of a new wheelchair ramp. After stretching a rubber band between two pegs to represent the ramp, the apprentice uses a third peg to form a right triangle. What is the primary purpose of this third peg in the geoboard method?