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Activity
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\n\"Tangent\n\n
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\nIllustrative Mathematics\n
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\nTangent to a Circle From a Point\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nLearners see application of construction techniques in a short but sophisticated problem. Combining the properties of inscribed triangles with tangent lines and radii makes a nice bridge between units, a way of using...\n
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Instructional Video9:17
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\n\"Intro\n\n
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\nCurated OER\n
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\nIntro to the Trigonometric Ratios\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nThis video introduces the basics of trigonometry. It starts by defining a right triangle and showing two different examples of finding the ratios of sine, cosine, and tangent using the SOH-CAH-TOA mnemonic. This resource could be used as...\n
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Lesson Plan
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 7: Slope and Tangents\n

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\n\nFor Teachers\n\n12th - Higher Ed\n
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\nProviding both review and practice problems, this worksheet prompts students to answer five questions having to do with slope, tangents lines, graphing, the Squeeze Theorem, differentiable functions and derivatives. This activity could...\n
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Lesson Plan
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\n\"Introduction\n\n
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\nWest Contra Costa Unified School District\n
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\nIntroduction to Trigonometric Functions\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nScholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.\n
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Lesson Plan
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\n\"Tangent\n\n
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\nEngageNY\n
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\nTangent Segments\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nWhat's so special about tangents? Learners first explore how if a circle is tangent to both rays of an angle, then its center is on the angle bisector. They then complete a set of exercises designed to explore further properties and...\n
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Lesson Plan
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\n\"Equations\n\n
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\nEngageNY\n
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\nEquations for Tangent Lines to Circles\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nDon't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through...\n
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Lesson Plan
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\n\"Tangent\n\n
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\nEngageNY\n
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\nTangent Lines and the Tangent Function\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nConstruct tangent lines and make the connection to tangent functions. An informative lesson reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a circle from a...\n
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Lesson Plan
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\n\"Applying\n\n
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\nEngageNY\n
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\nApplying Tangents\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nWhat does geometry have to do with depression? It's an angle of course! Learners apply the tangent ratio to problem solving questions by finding missing lengths. Problems include angles of elevation and angles of depression. Pupils make...\n
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\n\"The\n\n
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\nEngageNY\n
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\nThe Inscribed Angle Alternate – A Tangent Angle\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nYou know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their...\n
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Lesson Plan
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\n\"Similar\n\n
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\nEngageNY\n
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\nSimilar Triangles in Circle-Secant (or Circle-Secant-Tangent) Diagrams\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nFirst angle measures, now segment lengths. High schoolers first measure segments formed by secants that intersect interior to a circle, secants that intersect exterior to a circle, and a secant and a tangent that intersect exterior to a...\n
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Assessment8:43
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\n\"Area\n\n
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\nMathed Up!\n
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\nArea and Circumference of Circles\n

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\n\nFor Students\n\n8th - 10th\n\nStandards\n
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\nDon't go around and around, help your class determine amounts around and in a circle with a video that connects circumference to the perimeter or the distance around an object. The resource includes 14 questions dealing with circles and...\n
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Instructional Video2:24
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\n\"Segments\n\n
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\nCK-12 Foundation\n
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\nSegments from Secants and Tangents: Lesson\n

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\nSquaring the length equals the product of the outside times the whole. The presentation shows how to find a missing length in a tangent segment or secant segment. As part of a geometry playlist, the video provides the formula relating...\n
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Lesson Plan
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\n\"Circles\n\n
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\nOdell Education\n
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\nCircles in the Coordinate Plane\n

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\n\nFor Teachers\n\n9th - 11th\n\nStandards\n
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\nMake the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...\n
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\n\"Circle-Square\n\n
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\n101 Questions\n
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\nCircle-Square\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nHow do the area and perimeters of circles and squares compare? A clever video illustrates the change in the area of a circle and square while their total perimeter stays the same. The task is for learners to predict the point where the...\n
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Lesson Plan
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\n\"Secant\n\n
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\nEngageNY\n
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\nSecant Lines; Secant Lines That Meet Inside a Circle\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nYoung mathematicians identify different cases of intersecting secant lines. They then investigate the case where secant lines meet inside a circle.\n
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Lesson Plan
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\n\"Recognizing\n\n
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\nEngageNY\n
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\nRecognizing Equations of Circles\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nWhat does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...\n
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Instructional Video4:16
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\n\"Parts\n\n
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\nCK-12 Foundation\n
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\nParts of Circles: Lesson\n

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\n\nFor Students\n\n6th - 10th\n
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\nStart off with the basic parts. The section of a larger playlist covering essential geometry concepts identifies and provides the definitions of the basic parts of a circles. Using drawings, the video illustrates the different parts and...\n
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Instructional Video2:33
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\n\"Angles\n\n
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\nCK-12 Foundation\n
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\nAngles Outside a Circle: Lesson\n

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\n\nFor Students\n\n6th - 12th\n\nStandards\n
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\nUnderstand the difference in finding angle measures. A segment of an extensive geometry playlist introduces the formula to find the measure of an angle formed outside of a circle. Using examples, the video shows how to calculate measures...\n
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Instructional Video4:01
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\n\"Intersecting\n\n
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\nKrista King Math\n
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\nIntersecting Chords of Circles\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nStrike a chord with your classes! Use the video to demonstrate the relationship between intersecting chords in a circle. The instructor includes an example that involves a quadratic equation and extraneous solution. \n
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Worksheet
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\n\"Circles\n\n
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\nCurated OER\n
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\nCircles Terminology Multiple Choice\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this circles worksheet, students solve 10 multiple choice problems. Students answer questions about diameter and chord relationships, tangent lines to a circle, circumference, the Pi relationship, etc.\n
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Instructional Video3:13
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\n\"How\n\n
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\nHow Do You Find the Tangent of an Angle in a Right Triangle?\n

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\n\nFor Teachers\n\n6th - 11th\n
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\nWhat's a trigonometric ratio? It is a ratio between two sides of a right triangle. In this problem, find tangent(A) in the given right triangle. Use the ratio of the opposite side divided by the adjacent side to find tan(A). The...\n
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Instructional Video5:06
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\n\"How\n\n
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\nHow Do You Find a Missing Side of a Right Triangle Using Tangent?\n

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\n\nFor Teachers\n\n6th - 11th\n
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\nIdentify the variables, identify the given values and use a formula to find the missing length in this right triangle problem. What formula? The tangent ratio, which is normally used to show a ratio between two sides of a right triangle,...\n
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Worksheet
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\n\"Circles\n\n
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\nMt. San Antonio Collage\n
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\nCircles\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nDon't circle around the topic, but get right to the center with tons of practice regarding circles in geometry. The note-incorporated worksheet provides guided practice through many topics such as central angles, inscribed polygons...\n
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Instructional Video20:08
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\n\"Trig\n\n
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\nFlipped Math\n
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\nTrig Ratios\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nTake ratios of sides to a new level. Pupils learn the definitions of the three basic trigonometric ratios in right triangles. Using the definitions, scholars find missing lengths in right triangles, based on a known angle. Individuals...\n
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