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Worksheet
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\n\"Using\n\n
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\nCurated OER\n
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\nUsing a Calculator (Sine, Cosine, Tangent)\n

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\n\nFor Students\n\n10th - 11th\n
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\nIn this calculator worksheet, students use a calculator to solve given trigonometric ratios. They determine the sine, cosine and tangent of expressions. This one-page worksheet contains ten problems.\n
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Lesson Plan
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\n\"Properties\n\n
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\nEngageNY\n
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\nProperties of Trigonometric Functions\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nGiven a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects...\n
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Interactive
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\n\"Sine,\n\n
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\nCK-12 Foundation\n
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\nSine, Cosine, and Tangent Functions: Lighthouse\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nHow far is that boat from the lighthouse? Scholars create diagrams to represent a scenario given the angle of depreciation from a lighthouse to a boat. Learners apply the basic trigonometric functions to find various distances...\n
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Lesson Plan
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\n\"Trigonometric\n\n
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\nProject Maths\n
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\nTrigonometric Functions\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nFrom a circle to a cycle! The final lesson of a five-part series challenges learners to use points from the unit circle to plot a repeating pattern. The repeating patterns become the graphs of the trigonometric functions. Scholars...\n
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Instructional Video5:02
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\n\"Equation\n\n
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\nCorbett Maths\n
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\nEquation of a Tangent to a Circle\n

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\n\nFor Students\n\n8th - 12th\n\nStandards\n
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\nDon't go off on a tangent—let the video do the talking! A video lesson demonstrates how to write the equation of a line tangent to a circle given the point of tangency and the equation of the circle. The instructor explains both a...\n
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Assessment
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\n\"Circles\n\n
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\nInside Mathematics\n
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\nCircles in Triangles\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nChallenge the class with inscribed circles in triangles. The assessment task requests class members use their knowledge of circles and right triangles to prove two triangles are congruent. They go on to utilize their knowledge of...\n
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Instructional Video3:25
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\n\"Radius\n\n
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\nCorbett Maths\n
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\nRadius and Tangent – Proof\n

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\n\nFor Students\n\n6th - 12th\n\nStandards\n
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\nA tangent line always finds its place at a 90-degree angle to a radius. Many scholars struggle with the proof of the seemingly simple statement. A brief video demonstrates the reasoning behind the proof before pupils practice applying it...\n
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Interactive
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\n\"Tangent\n\n
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\nCK-12 Foundation\n
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\nTangent Graphs: Slope and Angle\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nLearning about tangents doesn't have to be a slippery slope. Pupils drag a point around a unit circle to see how angle affects the slope of a line. They individually answer a set of challenge questions to come to the conclusion that...\n
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Interactive
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\n\"Fundamental\n\n
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\nCK-12 Foundation\n
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\nFundamental Trigonometric Identities: Tangent Identity\n

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\nAn identity that thieves can't steal  the tangent identity. Scholars manipulate ratios to investigate the tangent ratio and connect it to the sine and cosine ratios. An interactive that uses color coding helps with this task.\n
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Instructional Video3:07
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\n\"Tangents\n\n
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\nCurated OER\n
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\nTangents and Circles - Geometry Help\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nDoes watching a person do a math problem help you understand a mathematical concept? If it does then this clip will be a great help. The tutor in this clip completes a geometry problem involving tangents, circles, and the Pythagorean...\n
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Instructional Video2:49
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\n\"Parts\n\n
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\nCorbett Maths\n
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\nParts of the Circle\n

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\n\nFor Students\n\n6th - 12th\n\nStandards\n
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\nBefore you can do anything with circles, you need to know the parts of the circle. Viewers of a short video see how to label relevant information about a circle. The resource covers radius, diameter, circumference, chord, tangent, arc,...\n
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Instructional Video3:45
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\n\"Circle\n\n
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\nCorbett Maths\n
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\nCircle Theorems\n

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\n\nFor Students\n\n6th - 12th\n\nStandards\n
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\nCircles are ripe with theorems. Viewers of a YouTube video watch as the narrator describes a set of eight theorems on circles. The video shows a diagram for each theorem and provides a brief explanation for each one. \n
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Lesson Plan
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\n\""I\n\n
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\nAlabama Learning Exchange\n
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\n\"I Saw the Sine\"\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nDiscover trigonometric ratios that complement each other. Using two videos, the instructional activity introduces the trigonometric ratios. The class discovers the relationship between the sine and cosine of complementary angles.\n
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Unit Plan
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\n\"Circles:\n\n
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\nMathematics Vision Project\n
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\nCircles: A Geometric Perspective\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nCircles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...\n
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Lesson Plan
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\n\"Angles,\n\n
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\nOdell Education\n
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\nAngles, Arcs, and Segments in Circles\n

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\n\nFor Teachers\n\n9th - 11th\n\nStandards\n
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\nInvestigate relationships between angles, arcs, and segments in circles. Pupils use geometry software to discover the relationships between angles, arcs, and segments associated with circles. Class members use similar triangles to...\n
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Assessment
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\n\"Circle\n\n
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\nMathed Up!\n
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\nCircle Theorems\n

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\n\nFor Students\n\n9th - 12th\n
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\nExplore theorems involving circles. Individuals watch a video that reviews the basic parts of a circle. They learn about circle theorems and compete a worksheet of problems that use these theorems — putting their skills to work right away!\n
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Instructional Video7:59
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\n\"Tangent\n\n
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\nKrista King Math\n
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\nTangent Lines of Circles\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nA video instructor explains the meaning of a line tangent to a circle. She then works through an application problem applying the tangent-radius relationship.\n
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Instructional Video12:15
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\n\"Intersecting\n\n
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\nKrista King Math\n
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\nIntersecting Secants and Tangents with the Vertex On, Inside, and Outside the Circle\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nPrepare classes for the many segment and angle relationships within circles. The video lesson examines the relationship between secants, tangents, angles, and arcs. The instructor works through examples to demonstrate the relationships.\n
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Assessment
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\n\"Circles\n\n
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\nMathematics Assessment Project\n
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\nCircles in Triangles\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nCircles, and triangles, and tangents, oh my! In the assessment task, learners first answer questions leading to the radius of an inscribed circle for a given right triangle. They then use the result to independently determine the...\n
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Assessment
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\n\"Orthogonal\n\n
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\nOrthogonal Circles\n

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\n\nFor Students\n\n7th - 12th\n\nStandards\n
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\nHere's some very interesting circles for your very interested pupils. A performance task requires scholars to sketch a pair of orthogonal circles so the centers are the endpoints of one side of a triangle. They draw an additional circle...\n
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Instructional Video1:53
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\n\"Circular\n\n
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\nCircular Motion\n

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\n\nFor Students\n\n9th - 12th\n
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\nA circular motion problem in physics can really throw you for a loop. A video explains what circular motion is and how it is figured. It also describes centripetal force and the importance of friction and magnitude. \n
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\n\"Projectile\n\n
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\nUrbana School District\n
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\nProjectile and Circular Motion, Torque\n

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\n\nFor Teachers\n\n11th - Higher Ed\n\nStandards\n
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\nIntroduce your young scholars to the concepts of circular motion, projectile motion, angular speed, simple harmonic motion, torque, center of mass, centripetal force, and Hooke's Law with a 86-slide presentation. The circular motion...\n
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Lesson Plan
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\n\"Segments\n\n
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\nCurated OER\n
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\nSegments Formed by Intersectiong Chords, Secants, and Tangents\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners investigate the properties of segments formed which chords, secants, and tangents, intersect. The dynamic nature of Cabri Jr. allows learners to form and verify conjectures regarding segment relationships.\n
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Interactive
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\n\"Arcs\n\n
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\nArcs and Angles Formed by a Tangent and a Chord\n

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\nFor this math worksheet, 10th graders solve problems involving a tangent line intersection the arc and forming various angles. There are 6 problems to be solved.\n
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