Functions are an important topic in mathematics. In Estonia, the study of functions begins in Grade 7, when students learn about linear functions and inverse proportionality. Quadratic functions are introduced in Grade 9. The topic of functions is often challenging for students, especially at the beginning, because developing a conceptual understanding requires familiarity with different representations of a function, such as equations and graphs, and an understanding of how these representations are connected.[br][br]Research has shown that using dynamic geometry software can be beneficial when learning this topic. Such programs allow students to see in real time how the graph of a function changes as the coefficients in its equation change.[br][br]Below, I present an idea for creating a visually appealing pattern in GeoGebra while simultaneously working with different representations of functions. Studies indicate that this kind of activity brings students joy and helps them feel that they understand functions more deeply.
Open [i]GeoGebra[/i]. [br][list=1][*]Insert a [i]Slider [/i]in the [i]Graphics view[/i]. Fill in the cells ([i]Min, Max, Increment[/i]). Open the [i]Animation[/i] tab and choose [i]Speed [/i]and [i]Repeat[/i].[b] [/b][/*][*]Insert some more [i]Sliders[/i].[/*][*]To make a pattern, type in an equation of a line in the [i]Input bar[/i]. When doing this, you should use the slider names in the equation. For example, if you want to insert a line [i]y = ax + b,[/i] you should have sliders named [i]a [/i]and [i]b[/i]. If you want to plot a graph of [i]y = c/x[/i], you should have a slider named [i]c[/i]. You can plot several lines, hyperbolas and parabolas. [/*][*]Make a right-click in [i]Graphics view[/i] and untick [i]Axes [/i]and[i] Grid[/i]. [/*][*]Make a right-click on one of the graphs, choose [i]Object Properties [/i]and follow the next steps: (a) Open the [i]Basic[/i] tab, untick [i]Show Label [/i]and tick[i] Show Trace.[/i] (b) Open the [i]Style [/i]tab and choose a [i]Line Thickness[/i] and [i]Style. [/i](c) To get a nice pattern, you can make changes in the dynamic colours. To do this, open the [i]Advanced [/i]tab and add [i]Dynamic Colours[/i]. You can use the slider names you already have or insert new sliders. Make changes until you are happy with your picture. 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[/img][/*][*]Repeat the steps (see point 5) with other graphs you have created. [/*][*]To animate the slider, right-click the slider and click [i]Animation On[/i]. That way, you can also turn off the animation if you want. [/*][*]When creating a pattern, you can use several functions, and their graphs can be displayed or hidden by clicking on the small circle in front of the function equation in the [i]Algebra view[/i].[/*][*] Pause the animation when you have a picture that you like. To export your picture, open the menu [i]File -> Export ->[/i][i]Graphics View as Picture[/i] or take a screenshot.[/*][/list][b]In addition,[/b] students can also be guided to explore more complex curves. Curves such as [br]c = (x² + y² − 2ax)² − b²(x² + y²)[br][img width=109,height=19]data:image/png;base64,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[/img][br][img width=185,height=19]data:image/png;base64,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[/img][br][img width=184,height=19]data:image/png;base64,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[/img][br]provide an opportunity to discuss whether the relation represents a function or not.[br][br]Examples: [url=https://www.geogebra.org/m/fhesmrfn]https://www.geogebra.org/m/fhesmrfn [/url][br][br][br][br]