Locating Fractions and Decimals on a Number Line by Duane Habecker
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In collections
Primary School Mathematics Collection
Fraction Book
Fraction Book
Decimals and Fractions
① This interactive GeoGebra example demonstrates how to accurately place fractions and decimals on a number line, fostering a deep understanding of the correspondence between numbers and points. ② Core mathematical concepts include fraction-decimal equivalence, partitioning the number line, interval subdivision, comparing rational numbers, and the density of rationals. ③ Construction highlights: sliders control numerator and denominator, Sequence generates equally spaced points, Segment and Polygon build the number line and tick marks, Random produces random values, and Text displays both fraction and decimal forms; commands such as OrthogonalLine, Circle, and Intersect support the construction. ④ Suitable for upper elementary and middle school students learning fractions and decimals, as well as for teacher demonstrations or student self-exploration to enhance number sense and geometric intuition.
GeoGebra Commands & Parameters
OrthogonalLine(A, yAxis) → aCircle(A, b) → cIntersect(c, a, 1) → BSegment(A, B) → dSequence((x(A) + (i * intervalsize), y(A)), i, 1, intervals) → list1Segment(D, E) → gRandom(2, 12) → denominatorSegment(F, H) → iPolygon(J, K, L, I) → poly1, j_1, k_1, l, i_1Polygon(K, M, N, L) → poly2, k_2, m, n, l_1Polygon(M, O, P, N) → poly3, m_1, o, p, n_1Vector(Q, R) → u