Arcs Teacher Resources

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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.
Students differentiate between the different properties of arcs, arc lengths, chords, and chord lengths. In this circles lesson, students calculate the arc length of a given circle, and find the measure of the inscribed angles of a circle and a polygon.
In this geometry worksheet, students identify the different properties of a circle. The measure and calculate the length of the diameter and circumference. There are 15 question on 4 worksheets.
Students identify types of arcs and angles in a circle, find the measure of arcs and angles, and solve real world problems involving lengths of segments in circles, lengths, and areas.
In this angles in circles learning exercise, 10th graders solve 10 different problems that include tangents and chords and intersecting chords. First, they find x when given 2 intersecting chords. Then, students determine x given the diameter that is perpendicular to a chord. They also determine the measure in degrees of the arc of the outside edge of the part of 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 follow the directions on the attached worksheet to construct shapes using Geometer's Sketchpad. To start the lesson plan, it is suggested that the teacher guide the students through the initial problem. When constructions are completed they discuss the conclusions they were able to draw from the constructions and questions.
In this arcs in circles worksheet, 10th graders identify 10 different circles and the measurement of their arcs. First, they determine the length of a minor arc to the nearest integer. Then, students determine the radius of a circle illustrated. In addition, they measure a minor arc to the nearest degree.
In this angles and arcs worksheet, 10th graders solve 18 various types of problems related to determine various angles and arcs of a circle. First, they find the measure of each angle and arc of the first circle shown. Then, students solve for each in the second circle with the given angles and equation. Finally, they use the table shown to create a circle graph and determine the percentage of money spent.
Through the use of Internet, video, and hands-on activities, youngsters learn the parts and characteristics of a circle. This fantastic lesson has some excellent website activities included in the plan. Your kids will have a much greater understanding about circles once they've taken part in this lesson.
Students are given diagrams and are asked to make a conjecture. In this geometry lesson, students make conjectures of circles. They complete a lab activity to reinforce making conjectures. The first activity addresses a common core standard on tangent lines and circles. 
Students solve problems with circles and their properties.  In this geometry lesson plan, students calcualte the diameter, radius, circumference and area of a circle. They identify the secant and tangent lines. They find the measurements of the chords.
In this exploring circles instructional activity, 10th graders solve 155 various types of problems that include exploring circles. First, they determine the circumference of a circle with a radius of the given length. Then, students create circle graphs with the given information. They also determine the measure of various angles and arc of a circle.
Tenth graders explore angles and arcs of a circle.  In this geometry instructional activity, 10th graders investigate the relationships between the measures of the different types of angles and arcs in a circle.  Students explore a real-world application of circles. 
Students find the length of the arc of a circle. In this geometry lesson plan, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They find the distance, given the speed, radius and time.
Young scholars complete Part A: Dissecting a Circle. They generate their own chords within the circle. Students measure the various parts of the arc in the shot put pit. The first two measurements, the chord and distance from the midpoint of the chord to the arc, are necessary for carrying-out other calculations.
Students identify tangents, chords and secants. In this geometry instructional activity, students graph circles and identify angles created by secant lines, tangent lines and chords.
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.
Students use Geometer's Sketchpad or Patty Paper Geometry to explore and write conjectures about chords, tangents, arcs and angles. In this geometric conjecture instructional activity, students examine what a conjecture is as it relates to geometric properties. Students explore central angles and inscribed angles while writing conjectures about the relationship between the measure of these angles.
For this length of an arc and area of a sector worksheet, 10th graders solve and complete 12 different types of problems. First, they find the length of an arc in a circle with a given radius and central angle measure. Then, students find the area of a sector in a circle of a given radius and central angle measure.

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