Graphs and Correspondence Rules - Task
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LINEAR FUNCTIONS
① This interactive GeoGebra task presents multiple function graphs and correspondence rules (including parabolas, cosine functions, differential equations, squares, and median values) for learners to match, reinforcing the link between algebraic expressions and their graphical representations. ② Core mathematical concepts include function graph recognition, properties of parabolas, periodicity of cosine, solution curves of differential equations, square functions, and the concept of median value. ③ Construction highlights: from the summary, the activity uses GeoGebra commands such as Textfield, TableText, and LaTeX to display problems and options; it includes multiple function objects (g_1, g_3, g_4, g_6, f_1, f_4, f_8, f_6, f_7, f, g, h, i, j) along with buttons (button1, button2) and input boxes (InputBox1-4) for interactive answering and feedback. ④ Suitable for upper secondary or pre-university students learning functions, and useful in math labs or self-study to build intuitive understanding of the relationship between graphs and formulas.
GeoGebra Commands & Parameters
Textfield() → InputBox1TableText({{text2}, {text3}, {text4}, {text5}, {text6}, {text7}}, "|_l") → text8Textfield() → InputBox2Textfield() → InputBox3Textfield() → InputBox4LaTeX(f_1, true, true) → text9LaTeX(f_4, true, true) → text10LaTeX(f_6, true, true) → text11LaTeX(f_7, true, true) → text12LaTeX(f_8, true, true) → text13TableText({{text9}, {text14}, {text15}, {text10}, {text16}, {text11}, {text12}, {text13}, {text17}}, "|_l") → text18Textfield() → InputBox5Textfield() → InputBox6Textfield() → InputBox7Textfield() → InputBox8Textfield() → InputBox9
AI Drawing Prompt Reference
Create an interactive matching exercise showing several function graphs on a coordinate plane, including a parabola, a cosine wave, a solution curve to a differential equation, a square function, and a horizontal median line. Beside each graph, place an empty input box for the user to type the corresponding algebraic rule. Below the graphs, display a table of mathematical expressions in LaTeX style, such as quadratic, trigonometric, differential equation, square, and median formulas, each with an input box next to it. The layout should be clean and educational, with buttons for checking answers and receiving feedback.
The prompt above was compiled from the original drawing commands and is for reference only.