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\n\n35\nItems in Unit\n\n
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\n\"Geometry\n\n
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\nLesson Planet Curated\n
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\nGeometry Unit 3: Parallel and Perpendicular Lines\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nThe Geometry Unit 3: Parallel and Perpendicular Lines Unit Module contains seven lessons, each with a video, teacher reference, practice packets and solutions, and corrective assignments. In the first lesson, pupils learn eight...\n
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\n\n12\nItems in Course\n\n
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\n\"Flipped\n\n
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\nLesson Planet Curated\n
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\nFlipped Math: Geometry\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nImagine taking a complete geometry course remotely! Eleven units make up the My Geometry course. Each unit follows the Flipped-Mastery cycle of learning, divided into two semesters. Pupils watch and take notes on a video that details the...\n
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\n\n10\nItems in Unit\n\n
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\n\"Utah\n\n
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\nLesson Planet Curated\n
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\nUtah Middle School Math Project: 8th Grade\n

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\n\nFor Students\n\n8th\n\nStandards\n
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\nPrepare eighth graders for high school math and science classes with a collection of 10 lessons that help tweens make the transition from acquiring basic knowledge to applying it in more complex situations. These Common Core-aligned...\n
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Instructional Video2:56
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\n\"Parallel\n\n
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\nCK-12 Foundation\n
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\nParallel Lines and Transversals: Lesson\n

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\n\nFor Students\n\n7th - 11th\n\nStandards\n
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\nSegment transversals proportionally. Given a diagram with three parallel lines and two transversals, the narrator of a short video points out the parallel lines cut the transversals proportionally. The portion of a long playlist on...\n
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Unit Plan
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\n\"Parallel\n\n
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\nRadford University\n
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\nParallel Lines Cut by a Transversal\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nUse the parallel lines to find your way. After first reviewing geometric constructions and the relationships between angles formed by parallel lines and a transversal, young mathematicians write proofs for theorems relating to parallel...\n
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Instructional Video11:40
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\n\"Properties\n\n
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\nProperties of Parallel Lines\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nWork within a parallel universe. Scholars learn about the relationships of angles when two parallel lines are intersected by a transversal. They see how to find the measurements of all eight angles by knowing the measure of one angle....\n
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\n\"Families\n\n
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\nEngageNY\n
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\nFamilies of Parallel Lines and the Circumference of the Earth\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nHow do you fit a tape measure around the Earth? No need if you know a little geometry! Pupils begin by extending their understanding of the Side Splitter Theorem to a transversal cut by parallel lines. Once they identify the...\n
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\n\"Looking\n\n
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\nEngageNY\n
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\nLooking More Carefully at Parallel Lines\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nCan you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...\n
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\n\"Characteristics\n\n
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\nEngageNY\n
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\nCharacteristics of Parallel Lines\n

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\n\nFor Teachers\n\n8th\n\nStandards\n
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\nSystems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...\n
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Instructional Video3:58
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\n\"Distance\n\n
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\nCK-12 Foundation\n
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\nDistance Between Parallel Lines: Lesson\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nRely on slope when counting won't do. Using horizontal and vertical parallel lines, the presentation shows scholars how to find the distance by counting. The video uses the relationship of the slopes of perpendicular lines to find two...\n
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Assessment10:41
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\n\"Angles:\n\n
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\nMathed Up!\n
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\nAngles: Parallel Lines\n

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\n\nFor Students\n\n9th - 11th\n\nStandards\n
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\nViewers are presented with seven problems with parallel lines and angle relationships and must use the given information to find the measures of specific angles. To finish, they explain their process in finding the measures in the...\n
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Instructional Video14:37
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\n\"Parallel\n\n
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\nParallel Lines and Triangles\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nTriangles bring sums to geometry. The lesson presents two theorems dealing with the angles of a triangle. Pupils learn about the Triangle Sum Theorem and the Exterior Angle Theorem, and then apply the theorems to create equations and...\n
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Instructional Video4:48
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\n\"What\n\n
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\nVirtual Nerd\n
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\nWhat is the Triangle Sum Theorem?\n

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\n\nFor Teachers\n\n6th - 9th\n
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\nIf you add the value of the three interior angles in a triangle will it equal 180 degrees? Yes it will. The instructor illustrates and proves the Triangle Sum Theorem. Follow closely as she explains her proof.\n
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Worksheet
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\n\"Parallel\n\n
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\nCurated OER\n
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\nParallel Lines and Proportional Parts\n

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\nIn this parallel lines and proportional parts worksheet, 10th graders solve 6 problems that include applying the theorems involved in proportional parts of triangles. First, they identify and describe each theorem. Then, students find...\n
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\n\"Determining\n\n
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\nCurated OER\n
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\nDetermining Angle Measure with Parallel Lines\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nStudents observe and solve examples of corresponding angle postulates, alternate interior angle theorems, and exterior and consecutive angles. They complete the Determining Angle Measure With Parallel Lines worksheet.\n
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Workbook
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\n\"Geometry:\n\n
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\nUniversity of Utah\n
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\nGeometry: Angles, Triangles, and Distance\n

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\n\nFor Students\n\n8th\n\nStandards\n
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\nThe Pythagorean Theorem is a staple of middle school geometry. Scholars first investigate angle relationships, both in triangles and in parallel lines with a transversal, before proving and applying the Pythagorean Theorem.\n
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\n\"Joining\n\n
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\nIllustrative Mathematics\n
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\nJoining Two Midpoints of Sides of a Triangle\n

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\n\nFor Teachers\n\n9th - 11th\n\nStandards\n
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\nWithout ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel...\n
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Unit Plan
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\n\"Similarity\n\n
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\nMathematics Vision Project\n
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\nSimilarity and Right Triangle Trigonometry\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nStarting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...\n
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Instructional Video5:17
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\nUnit 3 Review: Parallell and Perpendicular Lines\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nLearners watch a quick review on the Parallel and Perpendicular Lines unit. The pupils work through ten review problems ranging from identifying types of angles formed by parallel lines and transversals to writing equations of parallel...\n
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Instructional Video9:36
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\n\"Proving\n\n
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\nProving Lines Parallel\n

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\nShow it can all be proved. Scholars learn the converses of the properties of parallel lines. Using the converses, pupils determine which lines are parallel based on angle measurements and practice using a flow proof to show that two...\n
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\n\"Special\n\n
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\nSpecial Angles on Parallel Lines\n

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\n\nFor Teachers\n\n10th\n
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\nTenth graders investigate parallel lines and their special angles cut by a transversal. In this geometry lesson, 10th graders identify and find corresponding, alternate interior, and alternate exterior angles formed when parallel lines...\n
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\n\"Classifying\n\n
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\nMathematics Assessment Project\n
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\nClassifying Equations of Parallel and Perpendicular Lines\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nParallel parking might be difficult, but finding parallel lines is fairly simple. In this lesson, learners first complete an assessment task involving parallel and perpendicular lines in the coordinate plane. Individuals then take part...\n
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\n\"Unknown\n\n
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\nEngageNY\n
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\nUnknown Angle Proofs—Proofs of Known Facts\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nLead the class in a Greek history lesson with a geometric twist. Pupils relate a short video about geometric properties to modern-day methods of solving for unknown angles. They discuss parallel line theorems and complete...\n
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Assessment
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\n\"End-of-Module\n\n
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\nEnd-of-Module Assessment Task - Grade 8 Mathematics (Module 2)\n

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\n\nFor Students\n\n8th\n\nStandards\n
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\nCan your classes apply the knowledge they have learned? Use this performance task to find out! Individuals use transformations to explain congruence and angle relationships within parallel lines to find missing values. They show what...\n
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