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\nLesson Planet Curated\n
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\nCommon Core Algebra 2, Unit 9\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nFlip your classroom, or offer engaging visual aids to your lessons with a series of videos that explore the concept of trigonometry. After an introduction to the topic, high schoolers investigate reference triangles, unit circles, and...\n
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\n\n29\nItems in Topic\n\n
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\n\"Krista\n\n
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\nLesson Planet Curated\n
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\nKrista King Math: Pre-Calculus\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nA precalculus playlist of 29-videos demonstrates the processes and includes step-by-step explanations of functions. The collection includes inverse trig functions, polar coordinates, graphing polar curves, parametric curves, analytic...\n
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\n\n12\nItems in Topic\n\n
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\n\"Getting\n\n
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\nLesson Planet Curated\n
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\nGetting into Trig\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nStarting with right triangles (SOH-CAH-TOA) and working up to the concept of radians, this collection introduces students to trigonometric ratios and supports them in learning to evaluate trigonometric functions.\n
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Instructional Video9:04
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\n\"Introduction\n\n
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\nKhan Academy\n
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\nIntroduction to the Unit Circle, Trigonometry\n

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\nIn this video, Sal shows how the sine and cosine of an angle are defined on the unit circle. He inscribes a 30-60-90 triangle in the unit circle and explains how to use SOH-CAH-TOA to find the circle's coordinates.\n
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Instructional Video18:16
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\nCalculus Expert\n
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\nHow to Remember the Unit Circle\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nSeeing structure in the patterns is key to understanding the unit circle, and it takes time to become comfortable with those relationships. The video gives learners access to repeated instruction to allow time to develop those...\n
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Printables
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\nEmbedded Math\n
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\nThe Unit Circle\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nYou and your learners will enjoy having a nicely organized, typed up unit circle, all filled in with degrees and radians as well as cartesian coordinates. \n
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Lesson Plan
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\n\"Special\n\n
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\nEngageNY\n
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\nSpecial Triangles and the Unit Circle\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nCalculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value...\n
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\nThe Unit Circle\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nIt's not just any circle—it's the unit circle. The fourth instructional activity in the series is an introduction to the famous unit circle. While working through a series of activities, young scholars learn the components of the unit...\n
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\nUnit Circle: Special Angles—Just Know One\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nIt's all about the patterns! Young scholars learn that the unit circle repeats itself in all four quadrants. Using these patterns, they evaluate the sine, cosine, and tangent of special angles.\n
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Assessment
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\n\"Measuring\n\n
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\nConcord Consortium\n
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\nMeasuring the Unit Circle\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nHere's the right task to investigate right triangles in the unit circle. A short performance task has learners determine the product of two side lengths in a unit circle. They must apply similarity concepts and trigonometric ratios to...\n
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Lesson Plan
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\nUnit Circle\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nIn this Pre-Calculus worksheet, students solve problems involving angles and the unit circle.  The four page worksheet contains a combination of twenty multiple choice and free response problems.  Answers are provided. \n
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\nMethod for Remembering the Coordinates of the Points in the First Quadrant on the Unit Circle\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this Unit Circle worksheet, learners explore a method to help remember the coordinates of the points in the first quadrant on the unit circle.  Answers are provided as well as a completed unit circle.\n
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Worksheet
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\nExercise Set 4.3: Unit Circle Trigonometry\n

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\n\nFor Students\n\n9th - 12th\n
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\nFor this unit circle learning exercise, students answer 90 short answer questions about the unit circle.  Students sketch angles given a radian measure.  Students find the trigonometric values of various angles on the unit circle.\n
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Instructional Video6:52
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\nWhat Does the Graph of the Cosine Function Look Like?\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nUsing the unit circle and the values of _ at 0, ¹/2, ¹, and 3¹/2, the instructor shows how to construct the cosine graph by translating the x-coordinate of the unit circle to the graph. She then looks at the domain, range, amplitude,...\n
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Interactive
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\n\"Unit\n\n
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\nUnit Circle: Medieval Castle Defense\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nWho needs a plan — let trigonometry protect you! Pupils determine the angle of an approaching enemy to a village wall. The scholars determine the exact value of trigonometric functions for the angle. Class members use trigonometry to...\n
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Instructional Video8:28
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\nCurated OER\n
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\nWhat Does the Graph of the Sine Function Look Like?\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nUsing the unit circle and the values of _ at 0, ¹/2, ¹, and 3¹/2, the instructor shows how to construct the sine graph by translating the y-coordinate of the unit circle to the graph. She then looks at the domain, range, amplitude,...\n
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Activity
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\n\"Pythagorean\n\n
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\n5280 Math\n
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\nPythagorean Triples\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nFrom Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...\n
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Lesson Plan
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\n\"Properties\n\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 instructional...\n
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\n\"Trigonometric\n\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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Performance
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\n\"Discover\n\n
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\nRadford University\n
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\nDiscover Radians!\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nNo need for radians to be mysterious. Scholars use a cardboard cut-out of a unit circle and measure the radius and circumference using a piece of string. They consider the number of radii needed to cover the entire circumference and use...\n
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\nWhy Call It Tangent?\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nDiscover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of...\n
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\nThe Unit Circle\n

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\n\nFor Teachers\n\n7th - 8th\n
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\nIn this unit circle worksheet, students measure angles in circles and label each point in the amount of degrees, or radian measurement. They measure and label 36 angles located in three circles.\n
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Interactive
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\n\"Radian\n\n
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\nRadian Measure: Unit Circle Conversions\n

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\n\nFor Students\n\n10th - 12th\n
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\nIndividuals investigate the relationship between radian and angle measurements by using an interactive to find the angle measurement for given radian measures. Users answer questions to convert between the two measurements.\n
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Interactive
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\n\"Reference\n\n
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\nReference Angles and Angles in the Unit Circle: Exploring Reference Angles\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nA steal of a deal — get four angles for the value of one. An interactive resource allows individuals to visualize all four angles that have the same reference angle. Pupils answer questions by using the interactive to create the...\n
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