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Worksheet
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\n\"Volume\n\n
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\nCurated OER\n
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\nVolume and Surface Area\n

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\n\nFor Students\n\n10th\n
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\nIn this volume and surface area instructional activity, 10th graders solve and complete 12 different types of problems. First, they find the volume and total surface area of a given circle. Then, students find the height and radius of a...\n
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Worksheet
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\n\"Volume\n\n
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\nCurated OER\n
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\nVolume and Surface Area\n

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\n\nFor Students\n\n10th\n
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\nIn this volume and surface area instructional activity, 10th graders solve and complete 12 different types of problems. First, they find the volume of an isosceles trapezoid. Then, students find the volume and total surface area of a...\n
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Lesson Plan
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\n\"Right\n\n
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\nIllustrative Mathematics\n
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\nRight Triangles Inscribed in Circles II\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nSo many times the characteristics of triangles are presented as a vocabulary-type of lesson, but in this activity they are key to unraveling a proof. A unique attack on proving that an inscribed angle that subtends a diameter must be a...\n
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Worksheet
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\n\"Quiz:\n\n
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\nCurated OER\n
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\nQuiz: Angles and Arcs in Circles - Central and Inscribed\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this angles and arcs in circles worksheet, students determine the angle and arc measurement in a circle from given information. This one-page worksheet contains ten problems.\n
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\n\"Circles\n\n
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\nCurated OER\n
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\nCircles\n

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\n\nFor Students\n\n10th\n
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\nIn this circles worksheet, 10th graders solve and complete 8 different types of problems. First, they find the measures of each segment given the center of a circle. Then, students find the length of a side of a triangle shown within a...\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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\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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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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Lesson Plan
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\n\"Properties\n\n
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\nCurated OER\n
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\nProperties of Arcs, Lengths and Chords\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nStudents differentiate between the different properties of arcs, arc lengths, chords, and chord lengths. In this circles lesson, students calculate the arc length of a given circle, and find the measure of the inscribed angles of a...\n
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\n\"Cyclic\n\n
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\nEngageNY\n
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\nCyclic Quadrilaterals\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nWhat does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.\n
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\n\"Inscribing\n\n
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\nMathematics Assessment Project\n
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\nInscribing and Circumscribing Right Triangles\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nHigh schoolers attempt an assessment task requiring them to find the radii of inscribed and circumscribed circles of a right triangle with given dimensions. They then evaluate provided sample responses to consider how to improve...\n
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Assessment
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\n\"Geometry\n\n
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\nEngageNY\n
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\nGeometry Module 5: Mid-Module Assessment\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nHow can you formally assess understanding of circle concepts? Pupils take a mid-module assessment containing five questions, each with multiple parts.\n
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\n\"Ptolemy's\n\n
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\nEngageNY\n
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\nPtolemy's Theorem\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nEveryone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.\n
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Instructional Video13:36
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\n\"Unit\n\n
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\nFlipped Math\n
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\nUnit 11 Review: Circles\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nSolve problems around a circle. Pupils watch a video that shows how to apply concepts about circles and related angles and segments to find solutions to word problems. Learners then review the different concepts from the unit in...\n
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\n\"Thales’\n\n
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\nEngageNY\n
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\nThales’ Theorem\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nIsn't paper pushing supposed to be boring? Learners attempt a paper-pushing puzzle to develop ideas about angles inscribed on a diameter of a circle. Learners then formalize Thales' theorem and use geometric properties to develop a proof...\n
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Lesson Plan
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\n\"Angle\n\n
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\nWillow Tree\n
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\nAngle Sum Property of Triangles\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nAll triangles have some things in common. Using these properties of triangles, learners find missing angle measures. Scholars use the Angle Sum Property and properties of special triangles throughout the lesson.\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 Video10:46
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\n\"Circle\n\n
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\nCircle Theorems (Examples)\n

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\n\nFor Students\n\n6th - 12th\n\nStandards\n
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\nNo math lesson would be complete without examples. A short video works through examples highlighting circle theorems. This includes problems where individuals must take multiple theorems into account to determine the solution. \n
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Assessment
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\n\"Geometry\n\n
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\nEngageNY\n
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\nGeometry Module 5: End-of-Module Assessment\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nThe lessons are complete. Learners take an end-of-module assessment in the last installment of a 23-part module. Questions contain multiple parts, each assessing different aspects of the module.\n
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\n\"Solving\n\n
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\nCurated OER\n
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\nSolving Intercepted Arcs\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nStudents investigate circles and its arcs. In this geometry lesson, students identify the relationship between an circle and its intercepted arcs. THey identify the central and inscribed angles.\n
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Instructional Video3:45
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\n\"Circle\n\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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\n\"Secant\n\n
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\nSecant Angle Theorem, Exterior Case\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nIt doesn't matter whether secant lines intersect inside or outside the circle, right? Scholars extend concepts from the previous lesson to investigate angles created by secant lines that intersect at a point exterior to the circle....\n
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Lesson Plan
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\n\"Inscribed\n\n
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\nCurated OER\n
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\nInscribed Right Triangles\n

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\n\nFor Teachers\n\n7th - 9th\n
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\nStudents calculate the measurements of the inscribed angles of a triangle. In this geometry lesson, students relate the hypotenuse of a right triangle and the diameter of a circle to each other. They calculate the diameter of a circle as...\n
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Lesson Plan
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\n\"Circle\n\n
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\nCircle Packing\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nStudents identify different parts and properties of circles. In this geometry instructional activity, students identify the radius, diameter, semicircle and inscribed angle of a circle. They identify the tangent lines to a circle.\n
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