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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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\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\"Rewrite\n\n
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\nLesson Planet Curated\n
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\nRewrite Rational Expressions: Common Core High School Algebra\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nStudents may dread the fraction, but don't let them dread the rational function. Here are some lessons, videos, and worksheets to help learners practice and comprehend the idea of rational functions, and see that they already know about...\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\n38\nItems in Topic\n\n
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\nLesson Planet Curated\n
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\nAP Calculus AB\n

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\n\nFor Students\n\n11th - 12th\n
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\nPrepare high school mathematicians for the AP Calculus AB exam with a collection of 38 videos that can be used to introduce the topics or as a review. The videos focus on two processes; differentiating a function and integrating a...\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\"Rational\n\n
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\nCurated OER\n
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\nRational Functions\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this college level Pre-Calculus activity students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts.  The three page activity contains forty problems.  Answers are provided. \n
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Instructional Video3:23
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\n\"What\n\n
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\nCurated OER\n
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\nWhat is a Rational Function?\n

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\n\nFor Teachers\n\n6th - 12th\n
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\nA rational function can be written as a ratio of two polynomials. There are a couple of rules concerning the denominator so watch this video and find out what they are.\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\"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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\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 lesson plan, 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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\n\nGet Free Access\n\nSee Review\n
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Instructional Video2:45
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\n\"What\n\n
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\nCurated OER\n
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\nWhat is a Rational Function?\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nA rational function can be written as a ratio of two polynomials. There are a couple of rules concerning the denominator so watch this video and find out what they are.\n
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\n\nGet Free Access\n\nSee Review\n
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Lesson Plan
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\n\"Rational\n\n
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\nEngageNY\n
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\nRational Functions\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nMake a connection between rational expressions and rational functions. Pupils review simplifying and performing operations on rational expressions and recall what it means for two rational expressions to be equivalent based on their...\n
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Interactive
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\n\"Analyzing\n\n
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\nCK-12 Foundation\n
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\nAnalyzing the Graphs of Functions: Analyzing a Rational Function\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nShift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...\n
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Lesson Plan
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\n\"Driving\n\n
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\nK20 LEARN\n
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\nDriving Rationally: Introduction To Rational Functions And Asymptotes\n

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\n\nFor Teachers\n\n11th\n\nStandards\n
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\nCalculating average speeds is not as simple as finding an average. The lesson introduces class members to rational functions by presenting a problem about finding an average speed for the rest of a trip. Pupils develop an equation to...\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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Instructional Video1:28
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\n\"Introduction\n\n
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\nBrightstorm\n
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\nIntroduction to Rational Functions - Concept\n

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\n\nFor Students\n\n8th - 10th\n
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\nLet's be rational about it. An instructive resource provides the definition of rational expressions and rational functions. Examples provide an explanation on how to determine excluded values from the domain. The resource continues...\n
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Lesson Plan
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\n\"Building\n\n
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\nCurated OER\n
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\nBuilding Boxes- Polynimial And Rational Functions\n

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\n\nFor Teachers\n\n7th - 9th\n
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\nStudents investigate the concepts of polynomial and rational functions. They identify the general patterns used to solve problems. The use of real world contexts in the problems helps to promote engagement and understanding of how the...\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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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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Unit Plan
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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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\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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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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\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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