[center][b]Area of a Circle[/b][/center][b][br][br]Objectives[/b][br]At the end of the lesson, the students are expected to:[br][list][*]Approximate the area of a circle.[/*][*]Understand the formula for the area of a circle.[/*][/list][b]Materials[/b]:[br][list][*]compass[/*][*]ruler[/*][*]circular papers[/*][*]scissors[/*][/list][br][b]Activity[/b][br][br]In this lesson, students will cut a paper circle into equal slices and rearrange these slices to form a shape whose area they can easily calculate, such as a rectangle. [br][center][br][img]https://www.geogebra.org/resource/yxyka7rc/dYaClUqjTJ4eTX4k/material-yxyka7rc.png[/img][/center]This hands-on activity emphasizes the concept that as the number of slices increases, the rearranged shape closely resembles a rectangle, providing an intuitive understanding of the formula for the area of a circle.[br][br][list=1][*]Group students into pairs or groups of three.[/*][*]Provide each group with circular paper cutouts and scissors.[/*][*]Instruct them to cut the circle into equal slices.[/*][*]After cutting, have them approximate the area of the individual slices and the entire circle.[/*][*]Ask students to rearrange the slices to form a rectangle-like shape and approximate its area.[/*][/list][br][b]Discussion[br][/b][br][list=1][*]Ask students why cutting the circle from the center produces 'better' slices.[/*][*]Discuss how many slices they would like to divide the circle into. [/*][*]Encourage different groups to use varying numbers of slices so students can observe that the more slices there are, the more the rearranged shape resembles a rectangle.[/*][*]Guide them in finding the length and width of the 'rectangle.' They should discover that one dimension corresponds to half of the circumference of the circle.[/*][*]Have students find the formula for the area of the rectangle and explain how it relates to the area of the original circle.[/*][/list][br][b]Consolidation[/b][br][br][list=1][*]Emphasize that as the number of slices increases, the rearranged shape becomes more like a rectangle. Eventually, it can be approximated as a rectangle.[/*][*]Show students the GeoGebra applet at https://www.geogebra.org/m/hef22tzd and move the slider to n = 100.[/*][*] Write the formula for finding the area of a circle: pi = r x r[/*][/list][br][b]STEPAM[br][/b][br][b]Science:[/b] Collecting and comparing data (e.g., shapes, lengths of 'base' and 'height') [br][b]Technology:[/b] Using GeoGebra to demonstrate numerous sectors[br][b]Engineering:[/b] Constructing the circle using the compass[br][b]Physical Education: [/b]Drawing the circle, manipulating the shapes[br][b]Art: [/b] Constructing the circle using the compass[br][b]Mathematics:[/b] Calculating the area