Arcs Teacher Resources

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Calculator robots and TI-83 calculators are needed to complete this lesson. If you can get your hands on them, it's well worth it! Connecting a pencil to the robot, groups collaborate to get it to draw circles of three different diameters. Plenty of support is provided in this resource, including student handouts and robot programming instructions.
This detailed lesson plan leads your learners through an investigation of the relationships between central, inscribed, and circumscribed angles of a circle. The opening activity reviews central and inscribed angles and their intercepted arcs by having learners create problems for a partner to solve. After discussing their solutions, learners work in small groups to complete a worksheet that contains five diagrams showing circles with angles formed by radii, chords, diameters, secants, and tangents. Referring to a list of possible description options, pupils determine the exact figures that form each angle, measure the angle with a protractor, then interpret the result in relation to the measures of the central angle and intercepted arcs.
Use this lesson plan to help your geometers develop informal proofs of the circumference and area of a circle. Working in small groups, students rotate between three stations to complete hands-on activities that illustrate the relationships in the circumference and area formulas. The station activities include dissecting a paper plate, rolling a can to measure its circumference, and an exploration of relationships using an online circle tool applet. A reflection sheet is provided for each learner to record observations and information about each station's activity. The instructional activity concludes with learners using their notes to individually write an informal argument for the circumference and area of a circle.
Use this detailed lesson plan to guide learners in discovering the relationship between central angles and inscribed angles that intercept the same arc in a circle. Your mathematicians construct circles and angles, then measure the angles and use their data to make conjectures and informally state the Central Angle Theorem. Constructions and measurements can be done with a compass and protractor, Geometer's Sketchpad, or the handy online interactive tool linked in the resource.  
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.
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.
In this circles and cylinders worksheet, 10th graders solve and complete 22 various types of problems. First, they collect data for a radius and circumference for several different circles and calculate the quantity. Then, students find the length of the radius and use the Pythagoras' Theorem on the given triangle.
Pupils 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. 
Young scholars solve problems with circles and their properties.  In this geometry lesson, 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 worksheet, 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 and define the radius and diameter of a circle. In this geometry instructional activity, 10th graders calculate the circumference and area of a circle using real world objects and shapes. They discuss chords and lines tangent to a circle as it relates to tangency.
Tenth graders explore angles and arcs of a circle.  In this geometry lesson plan, 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, 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.
Students 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.
Young scholars identify tangents, chords and secants. In this geometry instructional activity, students graph circles and identify angles created by secant lines, tangent lines and chords.
High schoolers 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.  High schoolers 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.
In 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.
In this star circles worksheet, students solve six problems given a diagram of a time-exposure photograph of the stars. Students determine the scale of the image, the location of the North Celestial Pole, they identify Polaris and they determine which features are planets. Finally they calculate how long the camera shutter was left open to make the 'star trails' seen.

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