Dividing an Amount into a Given Ratio

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2017-01-09 23:49

In collections Concrete-Pictorial-Abstract and the Teaching for Mastery

This example demonstrates how to divide a total amount into multiple parts according to a specified ratio, with visual representation of the division results. Core math concepts include ratio distribution, polygon construction, and segment operations. GeoGebra commands and objects used are Polygon, Segment, Textfield, Midpoint, and Random for constructing the geometric representation. Suitable for high school mathematics teaching to understand the principle of ratio distribution and geometric representation.

GeoGebra Commands & Parameters

Polygon(B, A, C, D) → poly1, b, a, c, d
Segment(B1, A1) → f
Segment(B2, A2) → g
Segment(B3, A3) → h
Segment(B4, A4) → i
Segment(B5, A5) → j
Segment(B6, A6) → k
Segment(B7, A7) → l
Segment(B8, A8) → m
Segment(B9, A9) → n
Segment(B10, A10) → p
Segment(B11, A11) → q
Segment(C1, D1) → r
Segment(D2, C2) → s
Segment(D3, C3) → t
Segment(D4, C4) → f_1
Segment(F1, E1) → g_1
Segment(F2, E2) → h_1
Segment(F3, E3) → i_1
Segment(F4, E4) → j_1
Segment(F5, E5) → k_1
Segment(F6, E6) → l_1
Segment(H1, G1) → m_1
Segment(H2, G2) → n_1
Segment(H3, G3) → p_1
Segment(H4, G4) → q_1
Segment(J1, I1) → r_1
Segment(J2, I2) → s_1
Segment(J4, I4) → t_1
Segment(J5, I5) → a_1
Segment(J7, I7) → b_1
Segment(J8, I8) → c_1
Segment(D6, C6) → d_1
Segment(D7, C7) → e_1
Segment(D8, C8) → f_2
Segment(D9, C9) → g_2
Segment(L1, K1) → h_2
Segment(L2, K2) → i_2
Segment(L3, K3) → j_2
Segment(L4, K4) → k_2
Segment(L5, K5) → l_2
Segment(L6, K6) → m_2
Segment(L7, K7) → n_2
Segment(L8, K8) → p_2
Segment(L9, K9) → q_2
Segment(L10, K10) → r_2
Textfield(N1) → InputBox1
Segment(E, F) → s_2
Segment(E_1, F_1) → s_3
Midpoint(I, K) → L
Midpoint(K, J) → M
Segment(I, K) → a_2
Segment(K, J) → t_2
Random(3, 12) → O1
Random(1, O1 - 1) → O2
Random(2, 12) → O4