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Unit Plan
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\n\"Texas\n\n
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\nTexas Education Agency\n
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\nTexas Gateway: Using Logical Reasoning to Prove Conjectures About Circles\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nGiven conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.\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 Quadrilaterals Proof\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nSal uses the inscribed angle theorem and some algebra to prove that opposite angles of an inscribed quadrilateral are supplementary.\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: Angle Subtended by Diameter\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nOne method using an inscribed angle intercepting a diameter of a circle.\n
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Unit Plan
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\n\"Texas\n\n
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\nTexas Education Agency\n
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\nTexas Gateway: Making and Verifying Conjectures About Circles\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nGiven information about the relationship(s) witnin one circle or a set of circles, the student will explore special segments and angles of circles.\n
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\n\nGet Free Access\n\nSee Review\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: Cabri Jr. Inscribed and Central Angles\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nThis activity uses Cabri Jr. to explore the relationship between inscribed and central angles subtended from the same arc of a circle.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Study\n\n
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\nStudy Pug\n
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\nStudy Pug: Angles in a Circle\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nVideo shows how to find an angle inscribed in a circle. [1:58]\n
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\n\nGet Free Access\n\nSee Review\n
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Activity
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\n\"Ministerio\n\n
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\nMinistry of Education and Universities of the Region of Murcia (Spain)\n
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\nMinisterio De Educacion Y Ciencia: Ingulos en Una Circumferencia\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nIn Spanish. This site discusses the angles relative to the circles. It defines the concept of central angle, inscribed, interior, exterior and some important geometric outcomes and applications which uses these concepts.\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: Angles in Circles\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nThe student will use the Cabri Jr. APP to discover the relationship between inscribed and central angles in a circle.\n
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Lesson Plan
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\n\"Illustrative\n\n
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\nIllustrative Mathematics\n
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\nIllustrative Mathematics: G C Right Triangles Inscribed in Circles I\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nThis task provides a good opportunity to use isosceles triangles and their properties to show an interesting and important result about triangles inscribed in a circle with one side of the triangle a diameter. The fact that these...\n
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Lesson Plan
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\n\"Illustrative\n\n
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\nIllustrative Mathematics\n
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\nIllustrative Mathematics: G C Right Triangles Inscribed in Circles Ii\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nIn this task, students analyze the characteristics of a right triangle that has two sides labeled with midpoints and show that the triangle is inscribed in a circle with a diameter the length of its hypotenuse. Aligns with G-C.A.2.\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: Angles on and Inside a Circle\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.] Solve problems containing angles on or inside a circle.\n
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\n\nGet Free Access\n\nSee Review\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: Angles on and Inside a Circle Intermediate\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.] This concept teaches students how to find angles on and inside a circle created by chords and tangent lines.\n
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\n\nGet Free Access\n\nSee Review\n
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Handout
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\n\"Geometry\n\n
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\nGeometry Help\n
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\nGeometry Help: Arcs, Angles, and Sectors\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nExplains the basic concept of arcs, angles, and sectors with step-by-step instructions and methods for solving specific problems on your own relating to this topic.\n
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Activity
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\n\"Varsity\n\n
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\nVarsity Tutors \n
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\nVarsity Tutors: Hotmath: Graphing Calculator Practice Problems: Circles\n

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\n\nFor Students\n\n9th - 10th\n
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\nPractice using your graphing calculator for drawing circles and for finding measurements for circles and parts of the circle. If you get stumped or if you would like to check your work, then select the View Solution button, which is...\n
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Lesson Plan
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\n\"Illustrative\n\n
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\nIllustrative Mathematics\n
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\nIllustrative Mathematics: G C, G Co Tangent Lines and the Radius of a Circle\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nIn this task, students are shown a circle with center O and point P on the circle. L is a line that is a tangent to the circle at P. They must show that line OP is perpendicular to line L. Aligns with G-C.A.2, G-CO.A, and G-CO.C.9.\n
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Lesson Plan
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\n\"Texas\n\n
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\nTexas Instruments\n
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\nTexas Instruments: Chords, Secants, and Tangents\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nStudents construct chords, secants, and tangents. From those constructions, they develop a deeper understanding of the terms, as well as explore certain properties of the constructions.\n
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Lesson Plan
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\n\"Texas\n\n
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\nTexas Instruments\n
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\nTexas Instruments: Segments Formed by Intersecting Chords, Secants, and Tangents\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nThis activity is designed to help students discover several important theorems concerning lengths of segments formed by intersecting chords, secants, and tangents.\n
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Lesson Plan
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\n\"Illustrative\n\n
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\nIllustrative Mathematics\n
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\nIllustrative Mathematics: G C, G Srt Neglecting the Curvature of the Earth\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nJerry and Ashley are trying to find out if it is possible to see the lowest point in the USA from the highest point in the USA. It turns out that the highest point in the United States, the peak of Mount Whitney, is only 85 miles from...\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: Chords 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.] In this lesson, students apply chord theorems. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.\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: Segments From Chords\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.] Looks at how to apply the Intersecting Chords Theorem.\n
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Interactive
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\n\"Mangahigh:\n\n
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\nMangahigh\n
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\nMangahigh: Shape: Inscribed and Central Angles in Circles\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nUse theorems to prove ideas of inscribed and central angles in circles.\n
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Activity
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\n\"Analyze\n\n
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\nAnalyze Math\n
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\nAnalyze Math: Inscribed and Central Angles in Circles\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThe geometry tutorial investigates the definitions and theorems related to inscribed and central angles in circles. An example with a detailed solution is included.\n
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Instructional Video
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\n\"Learn\n\n
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\nImagine Learning Classroom\n
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\nLearn Zillion: Lesson Video: 'Show Angle Relationships in Cyclic Quadrilaterals'\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nIn this lesson, you will show angle relationships in cyclic quadrilaterals by using the Central Angle Theorem. [3:27]\n
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Handout
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\n\"University\n\n
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\nUniversity of Georgia\n
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\nUniversity of Georgia: Inter Math: Exterior Angles\n

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\n\nFor Students\n\n9th - 10th\n
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\nIntermath Dictionary's site defines terms relating to angles, gives examples, and offers interactive exercises.\n
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\n\nGet Free Access\n\nSee Review\n
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