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Lesson Plan
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\n\"Indirect\n\n
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\nCurated OER\n
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\nIndirect Proof and Inequalities in one Triangle\n

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\n\nFor Teachers\n\n10th\n
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\nIn this geometry worksheet, 10th graders complete an indirect proof and order the sides or angles of a triangle. Also, students determine if a triangle can have sides with the given lengths. The two page worksheet contains twelve...\n
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Instructional Video3:40
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\n\"Indirect\n\n
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\nCK-12 Foundation\n
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\nIndirect Proofs in Algebra and Geometry: Lesson\n

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\n\nFor Students\n\n7th - 12th\n
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\nIndirectly, it is a good proof method. A segment of a playlist on geometry introduces a way to prove geometric and algebraic statements. Using a general examples, the video shows how to develop an indirect proof.\n
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Lesson Plan
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\n\"Indirect\n\n
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\nCurated OER\n
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\nIndirect Proof and Inequalities in One Triangle\n

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\n\nFor Teachers\n\n10th\n
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\nIn this geometry worksheet, 10th graders order the sides and angles of a triangle and determine the range of the third side of a triangle given the lengths of two sides.  The one page worksheet contains sixteen questions. ...\n
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Activity
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\n\"Sum\n\n
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\nEducation Development Center\n
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\nSum of Rational and Irrational is Irrational\n

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\n\nFor Teachers\n\n8th - 9th\n\nStandards\n
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\nSometimes the indirect path is best. Scholars determine whether the sum of a rational number and an irrational number is irrational. Reading a transcript of a conversation between classmates leads to an indirect proof of this concept.\n
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Lesson Plan
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\n\"Conditional\n\n
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\nCurated OER\n
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\nConditional Statements\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nStudents are introduced to the topic of proofs in Geometry. During a PowerPoint presentation, they take notes on indirect proofs and have groups of students write a true statement. They are assessed on the statement and how well they...\n
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Lesson Plan
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\n\"Special\n\n
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\nCurated OER\n
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\nSpecial Segments in a Triangle\n

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\n\nFor Teachers\n\n10th\n
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\nIn this geometry worksheet, 10th graders review the vocabulary associated with the special segments of a triangle and the associated points of concurrency and solve problems in which they find the indicated missing angle or...\n
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Worksheet
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\n\"Properties\n\n
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\nCurated OER\n
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\nProperties of Geometry\n

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\n\nFor Students\n\n10th\n
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\nFor this properties of geometry worksheet, 10th graders solve and complete 12 different problems that include various theorems. First, they draw a figure that illustrates the SAS inequality property. Then, students prove that two line...\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: Indirect Proof in Algebra and Geometry\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 write an indirect proof and provides examples of indirect proofs in Algebra and Geometry.\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: Indirect Proof in Algebra and Geometry\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.] Write algebraic and geometric indirect proofs.\n
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\n\nGet Free Access\n\nSee Review\n
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Primary
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\n\"Kent\n\n
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\nKent State University\n
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\nKent State University: Indirect Proofs, Michael Byron\n

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\n\nFor Students\n\n9th - 10th\n
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\nUse this site to explore an excellent discussion of indirect proofs. The site explains in detail why such a method works as a proof and gives steps to obtain such a proof.\n
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Activity
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\n\"Regents\n\n
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\nOswego City School District\n
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\nRegents Exam Prep Center: Indirect Euclidean Proofs\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis Oswego City School District Regents Exam Prep site shows you how to proof something by showing that it is false. This look at indirect proofs includes a practice and a teacher resource page, which features a warm-up activity.\n
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Unit Plan
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\n\"University\n\n
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\nUniversity of Saskatchewan (Canada)\n
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\nUniversity of Saskatchewan: Techniques for Proofs\n

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\n\nFor Students\n\n9th - 10th\n
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\nThe University of Saskatchewan's Department of Mathematics and Statistics provides high school students with online tutorials and exercises on what they deem some of the most important techniques for mathematical proofs: truth tables,...\n
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Handout
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\n\"Ck\n\n
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\nCK-12 Foundation\n
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\nCk 12: Geometry: Proofs Study Guide\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 study guide reviews proofs: algebraic proof, properties of congruence, and geometric proofs (two-column).\n
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Handout
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\n\"Ck\n\n
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\nCK-12 Foundation\n
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\nCk 12: Geometry: Types of Reasoning Study Guide\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.] Reasoning is a fundamental part of geometric proofs. There are several types of reasoning, many of which we innately and naturally picked up. However, the different...\n
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Activity
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\n\"University\n\n
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\nUniversity of Cambridge\n
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\nUniversity of Cambridge: Nrich: Code Breaker\n

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\n\nFor Students\n\n3rd - 8th\n
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\nDo your logic skills need sharpening? Use the interactive code breaker to at this one page website to do just that! The solution is available to double check your solution.\n
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