This activity can be extended to teach addition of radicals. You can also use the figure to compare geometrically the values of and 2 or show that = 2. Ask the students to click File then New to get a new window from the previous activity’s applet then ask them to draw the figure above – Squares and Square Roots. Click here to take you to the task.Īctivity 4 consolidates ideas in Activity 3. Click here to explore.Īctivity 3 is the main activity which involves solving the problem Draw a square which is double the area of another square. All the students need to do is to type the number of sides of their choice and presto they will have a regular polygon. Using the regular polygon tool and then clicking two points in the drawing pad, GeoGebra will ask for the number of sides of the polygon. GeoGebra shows further its intelligence and economy of steps in Activity 2 which involves drawing regular polygons. In the algebra window you will see the length of the segment and the area of the polygon. But with Geogebra you click the points to determine the corners of the polygon and Geogebra will draw the lines for you. You draw two pints then you use the ruler/straight edge to draw a side. To draw a polygon using the polygon tool is the same as drawing polygons using a ruler. The teaching sequence is composed of four activities.Īctivity 1 involves exploration of the two polygon tools: polygons and regular polygons. The GeoGebra tool that the students is expected to learn is the tool for constructing general polygons and regular polygons (the one in the middle of the toolbar). The figure below is the result of the final activity in my proposed teaching sequence for teaching square roots of numbers and some surds or irrational numbers. The way to do this is to integrate the learning of the tool in learning mathematics. The earlier the exposure to this environment, the better. In my post GeoGebra and Mathematics, I argued that the more the students understand the mathematics behind GeoGebra, the more confident they could become in using this tool. However, if the students have access to computers then I highly recommend that you use GeoGebra to do this. Of course you can do the same activity using grid papers, ruler and calculator. This post outlines a teaching sequence for introducing the concept of square roots in a GeoGebra environment.
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