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Lesson Plan
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\n\"Investigating\n\n
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\nCurated OER\n
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\nInvestigating the properties of a circle\n

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\n\nFor Teachers\n\n7th - 10th\n
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\nStudents use wax paper to look at different properties of circles such as chords, tangent lines, inscribed angles, and inscribed angles in a semi-circle, as well as finding the center of the circle, and use GSP to investigate cyclic...\n
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Worksheet
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\n\"Inscribed\n\n
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\nCurated OER\n
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\nInscribed and Central Angles in a Circle\n

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\n\nFor Students\n\n8th - 10th\n
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\nFor this geometry worksheet, students find the missing angle that is inscribed inside of a circle. They define vocabularies related to the circle. There are 17 questions.\n
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\n\"Task:\n\n
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\nCurated OER\n
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\nTask: Grain Storage\n

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\n\nFor Teachers\n\n7th - 10th\n\nStandards\n
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\nFarming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, learners need to determine...\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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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\"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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Lesson Plan
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\n\"Angles\n\n
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\nCurated OER\n
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\nAngles and Arcs\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nStudents identify the relationship between angles and arcs. In this geometry lesson, students rotate and move the circle around to create different arcs on the TI-Navigator. They differentiate between major and minor arcs.\n
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Lesson Plan
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\n\"Cabri\n\n
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\nTexas Instruments\n
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\nCabri Jr. Inscribed and Central Angles\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners will differentiate between inscribed and central angles in this geometry instructional activity. They answer questions dealing with circles as they relate to inscribed triangles and angles. This assignment includes a printable...\n
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Lesson Plan
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\n\"Circles\n\n
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\nCurated OER\n
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\nCircles and Angles\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nStudents identify tangents, chords and secants. In this geometry lesson, students graph circles and identify angles created by secant lines, tangent lines and chords.\n
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Worksheet
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\n\"Inverse\n\n
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\nCurated OER\n
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\nInverse and Converse\n

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\n\nFor Students\n\n9th - 11th\n
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\nFor this geometry worksheet, students identify given statements for the inverse, converse and contra-positive of a conditional statement. There are 9 questions with an answer key.\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 Quadrilaterals and Parallelograms\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nStudents differentiate between inscribed quadrilaterals and parallelograms. In this geometry lesson, students identify the shaped of the polygons when it is inscribed inside of a circle. They calculate the missing angles of the inscribed...\n
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\n\"Solving\n\n
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\nCurated OER\n
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\nSolving Problems Involving Chords, Radii, Tangents, Secants and Arcs within the Same Circle\n

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\n\nFor Teachers\n\n10th\n
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\nTenth graders apply their knowledge of angles related to a circle, radii, secants, tangents and chords of a circle. They practice using formulas related to a circle. They also apply what has been practiced to real life situations.\n
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Lesson Plan
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\n\"Relationships\n\n
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\nCurated OER\n
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\nRelationships Among Arc and Angle Measures in Circles\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nYoung scholars follow the directions on the attached worksheet to construct shapes using Geometer's Sketchpad. To start the lesson, it is suggested that the teacher guide the students through the initial problem. When constructions are...\n
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Lesson Plan
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\n\"Incenter\n\n
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\nCurated OER\n
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\nIncenter of a Triangle\n

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\n\nFor Teachers\n\n10th\n
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\nTenth graders find the incenter of a triangle. In this geometry lesson plan, 10th graders define the way to create an incenter with an angle bisector. They differentiate between incenter and incircle.\n
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Lesson Plan
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\n\"Connecting\n\n
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\nCurated OER\n
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\nConnecting Area Formulas Produces a Beautiful Formula\n

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\n\nFor Teachers\n\n11th - Higher Ed\n
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\nIn this math worksheet, students find the area of the triangle using the formula of 1/2 bh. Then they find the area using an alternative method.\n
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Lesson Plan
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\n\"Circle\n\n
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\nCurated OER\n
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\nCircle Conjectures\n

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\n\nFor Teachers\n\n9th - 11th\n\nStandards\n
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\nStudents are given diagrams and are asked to make a conjecture. In this geometry lesson, students make conjectures of circles. They complete a lab activity to reinforce making conjectures. The first activity addresses a common core...\n
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Lesson Plan
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\n\"Math:\n\n
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\nCurated OER\n
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\nMath: Tangents\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nStudents discover how to recognize tangents and how to use their properties. They investigate and use the properties of angles, arcs, chords, tangents, and secants. Students use two tangents and the properties of similar triangles to...\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Inscribed Shapes: Find Inscribed Angle\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nUsing either the inscribed angle theorem or the fact that two inscribed angles that intercept the same arc must be congruent.\n
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\n\nGet Free Access\n\nSee Review\n
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Unit Plan
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Inscribed Angle Theorem Proof\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nProving that an inscribed angle is half of a central angle that subtends the same arc.\n
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Unit Plan
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\n\"Ck\n\n
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\nCK-12 Foundation\n
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\nCk 12: Geometry: Inscribed Angles in Circles\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\n[Free Registration/Login may be required to access all resource tools.] Apply inscribed angle theorems.\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Inscribed Angles\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nSal finds a missing inscribed angle using the inscribed angle theorem.\n
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Unit Plan
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Challenge Problems: Inscribed Angles\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nSolve two challenging problems that apply the inscribed angle theorem to find an arc measure or an arc length.\n
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eBook
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\n\"Ck\n\n
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\nCK-12 Foundation\n
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\nCk 12: Interactive Geometry: 8.4 Inscribed Angles\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nLearn about inscribed angles formed by two chords in a circle which have a common endpoint.\n
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Activity
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\n\"Texas\n\n
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\nTexas Instruments\n
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\nTexas Instruments: Going in Circles Inscribed Angles\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nThis lesson has students discover properties of inscribed angles in a circle. Students use the Geometer's Sketchpad application for the TI-89 to construct a circle and an inscribed angle.\n
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