{"results":"
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Lesson Plan
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\n\"Natural\n\n
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\nCurated OER\n
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\nNatural Logarithm\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nYoung mathematicians solve problems of logs and natural logs. They graph functions of natural logs on the TI and relate integrals to natural logarithms.\n
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Lesson Plan
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\n\"Oodles\n\n
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\nCurated OER\n
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\nOodles of Poodles\n

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\n\nFor Teachers\n\n10th - 11th\n
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\nStudents solve equations by graphing. In this algebra lesson, students differentiate between functions and relations. They use the TI to graph their equation and analyze the graph.\n
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Lesson Plan
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\n\"Algebra\n\n
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\nCurated OER\n
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\nAlgebra II: Exponential Functions\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nYoung scholars investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.\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 and Irrational Numbers\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nBack to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...\n
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Lesson Plan
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\n\"Building\n\n
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\nEngageNY\n
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\nBuilding Logarithmic Tables\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nThank goodness we have calculators to compute logarithms. Pupils use calculators to create logarithmic tables to estimate values and use these tables to discover patterns (properties). The second half of the lesson has scholars use given...\n
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eBook
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\n\"Calculus\n\n
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\nRice University\n
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\nCalculus Volume 1\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nDifferentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...\n
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Lesson Plan
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\n\"Irrational\n\n
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\nEngageNY\n
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\nIrrational Exponents—What are 2^√2 and 2^π?\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nExtend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...\n
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Lesson Plan
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\n\"The\n\n
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\nEngageNY\n
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\nThe Most Important Property of Logarithms\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nWon't the other properties be sad to learn that they're not the most important? The 11th installment of a 35-part module is essentially a continuation of the previous lesson, using logarithm tables to develop properties. Scholars...\n
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Lesson Plan
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\n\"Inverse\n\n
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\n02 x 02 Worksheets\n
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\nInverse Functions\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nYoung mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive instructional activity emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the...\n
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\n\nGet Free Access\n\nSee Review\n
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Lesson Plan
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\n\"Wishful\n\n
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\nEngageNY\n
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\nWishful Thinking—Does Linearity Hold? (Part 1)\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nNot all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...\n
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\n\"Reflections\n\n
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\nCurated OER\n
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\nReflections\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners explore reflection of polygons on a coordinate plane. They examine the relationships that exist between corresponding points and sides. \n
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\n\"Exponential\n\n
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\nCurated OER\n
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\nExponential Equations and Functions\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this college level Pre-Calculus worksheet, students solve problems involving exponential functions.  Students determine the domain, range, y-intercept and asymptotes of exponential functions. The three page worksheet contains...\n
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\n\"Earth\n\n
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\nCurated OER\n
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\nEarth Science: In Depth Look at Earthquakes\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nStudents engage in an interactive Internet lesson covering the reasons and results of earthquakes. After reading eyewitness accounts and viewing animations, they use seismograms to measure and locate the epicenters. In an ongoing study,...\n
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Activity
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\n\"Interactive\n\n
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\nInteractive Mathematics\n
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\nInteractive Mathematics: Exponential and Logarithmic Functions\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThis lesson explains what exponential and logarithmic functions are. Includes graphs and links to more information.\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Algebra: Logarithmic Functions: Graphing Logarithmic Functions\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nModels an example of how to graph a logarithmic function. [9:10]\n
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Algebra Ii: Graphs of Logarithmic Functions\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nGraph logarithmic functions and find the appropriate graph given the function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.\n
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Handout
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\n\"Purplemath:\n\n
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\nPurple Math\n
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\nPurplemath: Graphing Logarithmic Functions: Intro\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThis lesson details graphing logarithmic functions. The lesson explains the relationship between the graph of the logarithm and its inverse. The site gives examples of logarithmic graphs of base 2, 3, and e. Shifts in logarithmic graphs...\n
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Handout
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\n\"Paul's\n\n
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\nPaul Dawkins\n
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\nPaul's Online Notes: Algebra: Logarithm Functions\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nDetailed math tutorial introduces logarithm functions giving the basic properties and graphs. Also, discusses how to evaluate some basic logarithms including the use of the change of base formula, the common logarithm, log(x), and the...\n
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Activity
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\n\"Interactive\n\n
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\nInteractive Mathematics\n
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\nInteractive Mathematics: Exponential and Logarithmic Functions\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThis is a comprehensive tutorial on Exponential and Logarithmic Functions\n
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\n\nGet Free Access\n\nSee Review\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: Algebra Ii: Analysis: Graphs of Logarithmic Functions\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\n[Free Registration/Login may be required to access all resource tools.] This lesson covers graphing logarithmic functions. Students examine guided notes, review guided practice and attempt practice problems.\n
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Unit Plan
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\n\"Wtamu\n\n
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\nTexas A&M University\n
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\nWtamu Virtual Math Lab: College Algebra: Logarithmic Functions\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThis clear tutorial provides the definition of a logarithmic function as well as instruction on how to perform important tasks with them. Find step-by-step solutions to example problems and practice exercises for you to complete and check.\n
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Activity
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\n\"University\n\n
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\nUniversity of North Carolina\n
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\nUniversity of North Carolina Wilmington: Logarithmic Functions\n

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\n\nFor Students\n\n9th - 10th\n
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\nDefines logarithmic functions, offers interactive graphs of exponential equations, and explains natural logarithms.\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: Analysis of Logarithmic Graphs: Graphs of Logarithmic Functions\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\n[Free Registration/Login may be required to access all resource tools.] Graphing logarithmic functions using transformations. Identifying log functions as the inverses of exponential functions. Students examine guided notes, review...\n
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Activity
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\n\"Ojk's\n\n
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\nWindstream\n
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\nOjk's Precalculus Study Page: Logarithmic Functions\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nA wonderful study tutorial explaining logarithmic functions. Learn how to solve simple logarithmic functions. Includes many graphs and examples.\n
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\n\nGet Free Access\n\nSee Review\n
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