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Interactive
CK-12 Foundation

Conversion between Degrees and Radians: Arc and Radians Relationship

For Students 10th - 12th Standards
How are arc lengths and radians related? An interactive resource demonstrates the relationship as pupils create arc lengths in a unit circle and compare them to the angle measurements. Questions ask individuals to build upon this...
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Lesson Plan
West Contra Costa Unified School District

Arcs and Angles

For Teachers 9th - 12th
Noah didn't construct this kind of arc. High school scholars first explore how angles can be formed in circles. They then learn relationships between angles and arcs by conducting an exploratory activity where they position and draw arcs...
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Lesson Plan
Curated OER

Length of an Arc and Area of a Sector

For Teachers 10th
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...
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Lesson Plan
Curated OER

Arc Length Lesson

For Teachers 9th - 11th
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...
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Lesson Plan
Curated OER

Shot Put Arc

For Teachers 6th - 8th
Learners 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...
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Lesson Plan
Alabama Learning Exchange

Radians: Just Another Way

For Teachers 9th - 12th Standards
Serve up angle measurements on paper plates. Pupils use paper plates and paper-folding techniques to create a unit circle with conversions for special angles. Using their plates, learners explore the relationship between angle...
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Worksheet
Curated OER

Arcs in Circles

For Students 10th
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...
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Worksheet
Curated OER

Angles and Arcs

For Students 10th
In this angles and arcs worksheet, 10th graders solve 8 different problems that relate to determining the measure of various angles and arcs of a circle. First, they define a central angle and the difference between a major and minor...
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Worksheet
Curated OER

Solve for the Arc Length Problems

For Students 11th - Higher Ed
For this arc length worksheet, students solve for the arc length for four angles.  Three of the angles are given in degrees while the other angle length is given in radians.  The solutions are not provided.
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Lesson Plan
Curated OER

Radians, Arc Length, and the Area of a Sector

For Teachers Higher Ed
In this college level geometry worksheet, students convert between degrees and radians.  Students determine arc length and solve problems involving the area of a sector.  The four page worksheet contains seventy-four problems.  Answers...
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Worksheet
Curated OER

Arc Length and Radian Measure

For Students 10th - 11th
In this arc length worksheet, students convert radians to degrees and degrees to radian measure. Ten problems are provided on this one-page worksheet.
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Lesson Plan
Curated OER

Small Angle Calculations

For Teachers 4th - 7th
Young scholars work with circles, angles and estimating angles in the night sky. In this circles and angles lesson plan, students practice measuring a degree using the circumference of a circle and apply the degree to determine a way to...
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Lesson Plan
Curated OER

A Star to Steer Her By

For Teachers 6th - 12th
Students determine their latitude using a protracdtor and/or cross-staff to find the altitude of Polaris.
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Handout
2
2
Curated OER

Trigonometry Review Sheet

For Students 9th - 12th Standards
Get the trig facts fast, and use the review sheet as a guide in the classroom. The worksheet also includes a document version if any changes are needed to the problems. The information includes a small degree/radian chart, a graph of all...
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Worksheet
Math Mammoth

Measuring Angles

For Students 4th - 6th Standards
The first of two pages displays various angles as the measure of degrees of a circular arc. An explanation is written, and learners are asked to model each by holding up two pencils as the rays. The second page provides instruction on...
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Lesson Plan
Curated OER

Arc Measurement Based on The Measurement of a Central Angle

For Teachers 9th - 10th
Students define keywords that are important to solve problems. In this geometry lesson, students find the arc length and angle of a circle. They convert between radians and degrees.
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Lesson Plan
Curated OER

Electric Hoist Problem

For Teachers 6th - 8th
Middle schoolers convert angle measures between degrees and radians. They are given a copy of the task sheet with a graphic to help describe the situation. Pupils review the angle and arc relationship in a circle related to length of...
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Worksheet
Curated OER

Angles in Circles

For Students 10th
In this angles in circles worksheet, 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...
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Worksheet
Curated OER

Central and Inscribed Angles

For Students 10th
In this central and inscribed angles activity, 10th graders identify and solve 20 different problems that include determining inscribed angles and intercepted arcs. First, they determine the measure of point P if the given angles are...
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Assessment
CCSS Math Activities

Satellite

For Students 9th - 12th Standards
This isn't rocket science, you know. A performance task has learners use right triangle trigonometry to calculate distances from stations on Earth to a satellite. It also requires finding the distance between two stations along the...
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Worksheet
1
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University of Adeaide

Basic Trigonometry and Radians

For Teachers 9th - 12th Standards
A fabulous set of examples and problems that introduce basic trigonometry concepts, this packet is set apart by the care it takes to integrate both radians and degrees into the material. After defining radians, the author demonstrates...
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Lesson Plan
Curated OER

Projectiles

For Teachers 3rd - 8th
Students measure the angle and distance of an arc. In this projectile lesson, students observe arcs created by water guns, bow and arrows, and slingshots, then work in small groups and use protractors and strings to measure the angle and...
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Lesson Plan
Curated OER

Geometry of Circles: Week 7

For Teachers 10th - Higher Ed
In this circle worksheet, students determine the number of degrees in a minor arc, find the area of a circle, find the area of a shaded region. This two-page worksheet contains six problems.
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Lesson Plan
Curated OER

Geometry of Circles - Week 7 (Area & Circumference)

For Teachers 12th - Higher Ed
In this circle worksheet, students solve problems involving the circumference, area and arc length in a circle. They explore the union of circles and semicircles, as well as the line segments tangent to the circle. This two-page...