Locating Reals on a Number Line

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2013-09-24 04:53

Circle Vector Coordinate Geometry

In collections Jessica's Fraction Book

This example demonstrates how to locate real numbers on a number line. Key mathematical concepts include real numbers, number lines, and random elements. Using GeoGebra commands such as Point, RandomElement, and If, the example dynamically generates random points on the number line. Suitable for middle school and above students to learn about real numbers and the application of number lines.

GeoGebra Commands & Parameters

Point(xAxis) → A
RandomElement({1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8}) → ν
RandomElement({2, 5, 9, 10}) → β
RandomElement({2, 3, 4, 5, 9, 10}) → α
If(ν ≤ 2, α / β, If[(2 < ν) ∧ (ν < 5), sqrt(β), If[(5 ≤ ν) ∧ (ν < 7), -sqrt(β), (-sqrt(α)) / β]]) → γ
If(ν ≤ 2, text1, If[(2 < ν) ∧ (ν < 5), text2, If[(5 ≤ ν) ∧ (ν < 7), text3, text4]]) → text5
If(abs(γ - δ) ≤ 0.1, 1, 0) → n