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Arcs Teacher Resources
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Groups of high schoolers determine the area of a polygon when given the radius. They share their answers with the whole class before organizing the information into a table and computing the area divided by the radius squared. Using the answers they look for trends and discover the formula for the area of a circle.
In this circles worksheet, 10th graders solve and complete 13 different problems that include determining the measurement of various angles within a circle. First, they determine the area of each shaded region in the illustrated circles at the top. Then, students copy and complete the table at the bottom using pi to solve each corresponding sector.
Students construct circles and inscribed angles of circles. In this circles and inscribed angles of circles lesson, students use Geometer's Sketchpad for the Ti-89 to discover properties of inscribed angles of a circle. Students measure the angle of the inscribed angle and compare it to the arc length. Students find and inscribed angle that passes through the diameter and measure the angle measures.
Tenth graders explore the concept of circles. In this circles lesson, 10th graders discuss settings in their lives where they encounter circles. Students work through problems in groups involving finding lengths of diameters, secants, tangents, arcs, and radii of circles and semi-circles.
Tenth graders solve and complete 14 different geometry problems. First, they find the area and circumference of a circle with a given radius. Then, they find the area between a circle and an inscribed equilateral triangle given the measurement of each side. Pupils find the sum of the areas of the shaded regions in figures shown.
Math scholars explore the concept of area. In this area lesson, learners find the area of cardboard squares and circles that they have created. They use their cardboard constructions to find midpoint, area of sectors, arc length and other measurable attributes of a circle.