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\n\"Graphing\n\n
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\nLesson Planet Curated\n
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\nGraphing Rational Functions\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nWith the many steps involved in graphing rational functions, your learners may need a little extra help before they get the hang of it. Here are some supplement notes and practice problems to support your class as they investigate this...\n
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\n\n103\nItems in Unit\n\n
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\n\"AP\n\n
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\nLesson Planet Curated\n
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\nAP Calculus AB Unit 1: Limits and Continuity\n

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\n\nFor Students\n\n11th - 12th\n
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\nFlip your classroom and teach AP Calculus remotely! Unit 1 of the course focuses on limits and continuity. Informative videos introduce each lesson's topic, and the resource packets include worksheets, practice solutions, and two...\n
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\n\n38\nItems in Assessment Set\n\n
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\n\"Balanced\n\n
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\nLesson Planet Curated\n
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\nBalanced Assessment: Advanced High School Math Packet\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nNineteen resources make up the Balanced Assessment: Advanced High School Math Packet designed to test learners' knowledge in Algebra II, Geometry, and Pre-Calculus classes. To demonstrate their understanding of concepts related to these...\n
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Lesson Plan
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\n\"Graphing\n\n
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\nEngageNY\n
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\nGraphing Rational Functions\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nPut everything together in a picture. Scholars take what they learned in the previous three lessons in the 15th segment of a 23-part unit to graph rational functions. They find the end behavior, the horizontal and vertical asymptotes if...\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video8:20
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\n\"Another\n\n
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\nKhan Academy\n
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\nAnother Rational Function Graph Example, Algebra II\n

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\n\nFor Students\n\n8th - 11th\n
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\nExtending his asymptotes lesson from the previous video, Sal shows viewers another example of graphing rational functions. This video is shorter than the previous one and could be shown in a single class session.\n
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Worksheet
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\n\"Math\n\n
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\nCurated OER\n
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\nMath Regents Exam Questions: Graphing Rational Functions\n

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\n\nFor Students\n\n9th - 12th\n
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\nFor this graphing rational functions worksheet, students answer 18 multiple choice problems about rational functions.  Students determine values for a which a function is undefined given the equation of the function.\n
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\n\nGet Free Access\n\nSee Review\n
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Assessment
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1
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\n\"Graphing\n\n
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\nIllustrative Mathematics\n
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\nGraphing Rational Functions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nThe slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...\n
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Worksheet
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\nCurated OER\n
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\nLesson 19: Rational Functions and Long Division\n

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\n\nFor Students\n\n10th - 12th\n
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\nExplore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page worksheet contains...\n
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Worksheet
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\n\"Graphs\n\n
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\nMt. San Antonio Collage\n
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\nGraphs of Rational Functions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nSometimes graphing rational functions can feel a little \"irrational.\" Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question. \n
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Lesson Plan
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\n\"Graphing\n\n
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\nCurated OER\n
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\nGraphing Rational Functions\n

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\n\nFor Teachers\n\n9th - Higher Ed\n\nStandards\n
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\nLearners complete an activity, included, of the information on asymptotes and intercepts. They also solve and complete eight questions on graphing rational functions, file included. Finally, pupils summarize vertical asymptotes,...\n
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Worksheet
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\n\"Graphing\n\n
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\nCurated OER\n
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\nGraphing Rational Functions\n

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\n\nFor Students\n\n11th\n
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\nIn this algebra worksheet, 11th graders graph rational functions. They identify the asymptote, discontinuity, holes and vertex. There are 14 questions with an answer key.\n
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Worksheet
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\n\"Graphing\n\n
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\nCurated OER\n
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\nGraphing Rational Functions\n

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\n\nFor Students\n\n11th\n
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\nIn this Algebra II worksheet, 11th graders graph rational functions and use the graph to solve real-life problems. The four page worksheet contains forty-one problems. Answers are not provided.\n
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Lesson Plan
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\n\"Transforming\n\n
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\nEngageNY\n
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\nTransforming Rational Functions\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nMove all rational functions—well, maybe. Learners investigate the graphs of the reciprocals of power functions to determine a pattern between the graph and the power. Pupils graph rational functions where transformations are clearly...\n
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Worksheet
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\n\"Graph,\n\n
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\nCurated OER\n
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\nGraph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions\n

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\n\nFor Students\n\n10th - 12th\n
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\nUsing this worksheet, pupils graph 11 simple rational functions. They also find asymptotes, domain, and range for each function. The solutions are provided.\n
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Worksheet
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\n\"Graphing\n\n
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\nCurated OER\n
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\nGraphing Rational Functions\n

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\n\nFor Students\n\n9th - 10th\n
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\nIn this rational function worksheet, students identify the vertical and horizontal asymptote for each rational function. They graph rational functions. This one-page worksheet contains five problems.\n
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Worksheet
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\n\"Senior\n\n
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\nCurated OER\n
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\nSenior Analysis: Graphing Rational Functions\n

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\n\nFor Students\n\n10th - 12th\n
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\nBudding mathematicians graph given functions, identify the asymptotes, graph absolute values, and write a table of points. This three-page worksheet contains 23 problems.\n
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Lesson Plan
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\n\"Graphs\n\n
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\nTexas Instruments\n
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\nGraphs of Rational Functions\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nTake your kids on a tour of graphing rational functions. Using this TI instructional activity, high schoolers identify the end behavior of their functions. They find the domain and range, describe end behavior, and look at asymptotes and...\n
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Unit Plan
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\n\"Module\n\n
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\nMathematics Vision Project\n
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\nModule 4: Rational Functions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nTime to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...\n
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Unit Plan
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\nMathematics Vision Project\n
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\nModule 5: Rational Functions and Expressions\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nWhere do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...\n
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Assessment
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\n\"Test\n\n
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\nMt. San Antonio Collage\n
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\nTest 2: Rationals, Exponentials, and Logarithms\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nRunning out of logarithm questions in class? The nicely organized two-page worksheet provides practice in rational, logarithmic, and exponential functions. All the topics include graphing, solving, and finding domain and range. \n
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Handout
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\nParent Functions Review Sheet\n

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\n\nFor Students\n\n9th - Higher Ed\n\nStandards\n
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\nNo laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet...\n
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Interactive
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\n\"GeoGebra\n\n
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\nGeoGebra\n
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\nGeoGebra Graphing Calculator\n

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\n\nFor Students\n\n9th - Higher Ed\n\nStandards\n
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\nSo, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.\n
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Lesson Plan
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\n\"Comparing\n\n
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\nWest Contra Costa Unified School District\n
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\nComparing Rational Functions and Simplified Functions\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nWhat kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order...\n
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Lesson Plan
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\n\"Rational\n\n
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\nRational Functions: Intercepts, Asymptotes, and Discontinuity\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nDiscover different patterns by making connections between a rational function and its graph. An engaging lesson asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function...\n
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\n\nGet Free Access\n\nSee Review\n
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