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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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\n\n73\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 6: Integration and Accumulation of Change\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nThe 14 lessons in the AP Calculus AB Unit 6: Integration and Accumulation of Change use informative videos to introduce the topic of each lesson and model procedures. Each resource packet includes a video, worksheets, practice solutions,...\n
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\n\"Horizontal\n\n
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\nEngageNY\n
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\nHorizontal and Vertical Asymptotes of Graphs of Rational Functions\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nGet close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...\n
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Interactive
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\n\"Horizontal\n\n
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\nCK-12 Foundation\n
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\nHorizontal and Vertical Asymptotes: Rational Functions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nPlay with the graph of a rational function to discover the asymptote patterns. Young scholars use the interactive lesson to discover the relationship between the asymptotes and the function. As they manipulate the function, the graph...\n
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\nWorksheet 7 - Asymptote\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nFor this asymptote worksheet, students compute limits, graph vertical asymptotes, and find the slope of the secant line. This one-page worksheet contains six multi-step worksheets.\n
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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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Lesson Plan
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\n\"Asymptotes\n\n
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\nCurated OER\n
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\nAsymptotes and Zeros\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearn how to explore rational functions and investigate the graphs rational functions and identify its singularities and asymptotes.  Learners approximate the solutions to rational equations and inequalities by graphing.\n
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Instructional Video8:12
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\n\"How\n\n
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\nKrista King Math\n
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\nHow to Find Horizontal Asymptotes\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIs a vertical asymptote required to find the horizontal counterpart? By watching a video, scholars learn how to determine the horizontal asymptote of the graph of a rational function. They recognize that the degrees of the leading terms...\n
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AP Test Prep7:55
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - Infinite Limits and Vertical Asymptotes\n

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\n\nFor Students\n\n10th - 12th\n
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\nInfinite limits just got infinitely more interesting. The 15th of 18 installments in Unit 1 - Limits and Continuity looks at infinite limits and vertical asymptotes of rational functions. Scholars review how to determine the locations of...\n
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Interactive
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\n\"Oblique\n\n
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\nCK-12 Foundation\n
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\nOblique Asymptotes: Rational Functions and Asymptotes\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nExamine the connection between rational functions and their graphs. Individuals use an online manipulative to sort equations with horizontal and oblique asymptotes. They focus on the degree of the numerator and denominator.\n
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Interactive
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\n\"Infinite\n\n
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\nCK-12 Foundation\n
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\nInfinite Limit Type: Asymptotes and End Behavior Question\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nThere are an infinite number of reasons to use the resource. Scholars drag vertical and horizontal lines to the graph of a rational function to identify all asymptotes. They investigate the connection between asymptotes and limits to...\n
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Instructional Video9:57
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\n\"How\n\n
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\nKrista King Math\n
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\nHow to Find Vertical Asymptotes!!\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nAscertain the asymptotes. An informative video describes how to algebraically determine the locations of vertical asymptotes for the graphs of rational functions. Scholars see that they need to set the denominator equal to zero and solve...\n
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Instructional Video3:56
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\n\"How\n\n
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\nKrista King Math\n
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\nHow to Find Slant Asymptotes\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nLearn about slant asymptotes directly—not obliquely. Viewers of a short video discover how to determine a slant or oblique asymptote for a rational function. They see how to apply polynomial division to achieve this goal.\n
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AP Test Prep13:27
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - Limits at Infinity and Horizontal Asymptotes\n

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\n\nFor Students\n\n10th - 12th\n
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\nLearning about end behavior means it's close to the end of the unit. The 16th of 18 lessons in Unit 1 - Limits and Continuity has scholars watch a video to learn how limits at infinity can be used to determine horizontal asymptotes and...\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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Instructional Video13:34
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\n\"Conic\n\n
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\nCurated OER\n
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\nConic Sections: Intro to Hyperbolas\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this video, Sal starts with the equation of a hyperbola by first comparing it to the equation of the circle, and ellipse. He then shows how to find the equation of the asymptotes by solving for y. He also shows a few intuitive ways to...\n
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Instructional Video7:30
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\n\"Conic\n\n
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\nCurated OER\n
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\nConic Sections: Hyperbolas 2\n

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\n\nFor Students\n\n10th - 12th\n
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\nHere is an example in this video of graphing a hyperbola centered at the origin. First, Sal shows solving for the equations of the asymptotes and then shows how to determine the direction of the hyperbola. He takes the approach of not...\n
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Worksheet
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\n\"Vertical\n\n
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\nCurated OER\n
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\nVertical Asymptotes: M=N and M=N+1\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this algebra instructional activity, students determine the vertical asymptotes for a given rational equation with the leading exponents following either of the cases: M = N or M = N + 1. There are 4 questions.\n
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Lesson Plan
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\n\"Graphs\n\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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Lesson Plan
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\n\"Hyperbolas:\n\n
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\nCurated OER\n
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\nHyperbolas: Sketching from the Equation\n

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\n\nFor Teachers\n\n9th - Higher Ed\n
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\nIn this algebra worksheet, students sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.\n
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Lesson Plan
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\n\"Exploring\n\n
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\nCurated OER\n
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\nExploring Vertical Asymptotes\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nScholars identify the domain of a rational function in this precalculus lesson. They identify the removable discontinuity and label what will make the denominator zero. Learners also describe properties of the graph as it relates to the...\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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Instructional Video7:56
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\nHow Do You Graph a Rational Function by Making a Table?\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nMake a table to graph a rational equation. Make a list of values for x and plug them into the expression to get the y value. Then plot the ordered pairs on a graph. Hey, this graph looks funny! Something about asymptotes. Watch closely...\n
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