Arcs Teacher Resources
Find Arcs educational ideas and activities
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Angles in a Circle
This detailed lesson plan leads your students 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.
Informal Proofs of the Circumference/Area of a Circle
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 lesson concludes with learners using their notes to individually write an informal argument for the circumference and area of a circle.
Circles Mission 4
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.
Angle Relationships in 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.
Properties of Arcs, Lengths and Chords
Learners differentiate between the different properties of arcs, arc lengths, chords, and chord lengths. For 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.
Super Shapes Part 2 - Circles
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.
Circles and Cylinders
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.
Circles: Radius, Diameter and Circumference
Fascinating discussion regarding the origin of Pi accompanies a detailed explanation of how to find the circumference of a circle. Since this is the first installment in a series on circles, the concept of circumference is separated into easy to understand parts. Consequently, it provides a great exploration for students from upper elementary to high school.
The Geometry of Letters
Use the alphabet as a tool for teaching your class about geometric figures. Break apart capital letters into line segments and arcs. Classify angles as right, acute, or obtuse. Identify parallel and perpendicular lines. An excellent guided practice activity for familiarizing your class with these basic geometric terms.
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.
How on Earth?
The equator and longitudinal lines make interesting circles to study in terms of arc length. Using Google Earth or a globe, pupils research specific questions about size and distance. This a great activity to bring some real-world application into your classroom.
Investigating the Relationship Between the Inscribed Angle and Central Angle
This is a fun lesson plan that explores the relationship between inscribed angles and central angles in the same circle. Learners use dynamic geometry software such as GeoGebra, Geometer's Sketchpad, or Cabri to construct and measure various angles formed by radii and chords. They make conjectures, draw conclusions, and discuss their findings. If dynamic geometry software is not available, the lesson can easily be adapted for use with conventional measuring and construction tools.
Students 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.
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.
Application of a Circle-Angles and Arcs
Tenth graders explore angles and arcs of a circle. In this geometry lesson, 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.
Circles and Angles
Students identify tangents, chords and secants. In this geometry lesson, students graph circles and identify angles created by secant lines, tangent lines and chords.
Arc Length Lesson
Learners 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.
Shot Put Arc
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 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.
Going in Circles - Inscribed Angles
Students construct circles and inscribed angles of circles. In this circles and inscribed angles of circles lesson plan, 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.