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\n\"TeachEngineering:\n\n
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\nLesson Planet Curated\n
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\nTeachEngineering: Bone Mineral Density and Logarithms\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nYoung biomedical engineers are challenged to discover what Bone Mineral Density (BMD) is, how to obtain a BMD image, and how the process is related to the x-ray field. They also investigate how medical researchers use BMD images to...\n
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\n\n31\nItems in Topic\n\n
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\n\"Krista\n\n
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\nKrista King Math: Derivatives\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nEverything calculus scholars need to know about derivatives can be found in this 31-resource playlist. The collection defines the derivative and includes derivative rules, chain rule, derivatives of trig functions, derivatives of...\n
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\n\n13\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: Common Core Algebra 2\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nAlgebra 2 pupils will flip over a 13-unit course that addresses Common Core standards designed for out-of-class learning. The first-semester unit covers polynomials, polynomial functions, radicals, transformations of functions, and...\n
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Instructional Video10:05
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\n\"Introduction\n\n
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\nKhan Academy\n
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\nIntroduction to Logarithm Properties (Part 2), Logarithms\n

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\n\nFor Students\n\n7th - 9th\n
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\nSal gets to the heart of this video, clarifying that it's important to understand math \"so you can apply it later on and not have to relearn everything every time.\" True to his word, Sal demonstrates ways to solve logs and exponents more...\n
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Instructional Video9:49
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\n\"Introduction\n\n
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\nKhan Academy\n
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\nIntroduction to Logarithms\n

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\n\nFor Students\n\n7th - 9th\n
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\nSal crafts a demonstration around one of his \"most misspelled words\" - logarithms - in this thorough and understandable video. He defines a logarithm before using several examples to illustrate his point. Sal makes learning this concept...\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video4:59
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\n\"Change\n\n
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\nKhan Academy\n
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\nChange of Base Formula Proof, Logarithms, Algebra II\n

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\n\nFor Students\n\n9th - 12th\n
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\nThis video proves the helpful change of base formula for logarithms. The proof steps may need to be more intuitive to most logarithm learners, but the algebraic manipulation shown using logs is interesting.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video4:51
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\nHow Do You Convert From Exponential Form to Natural Logarithmic Form?\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nThis video shows how to convert an equation in exponential form to logarithmic form. The example shown uses base e, and it is converted to an equation using a natural logarithm.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video4:33
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\nHow Do You Convert From Natural Logarithmic Form to Exponential Form?\n

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\n\nFor Teachers\n\n10th - 11th\n
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\nThis video shows how to convert an equation in natural logarithmic form to exponential form in base e. The instructor reviews the definition of logarithms before completing an example.\n
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Lesson Plan
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\n\"Fractional\n\n
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\nWest Contra Costa Unified School District\n
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\nFractional Exponents\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nWow! Here is a handout packed full of tips and worked-out solutions to supplement instruction on fractional exponents. The lesson plan introduces and thoroughly explains the Algebra II concept, and closes with a...\n
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Lesson Plan
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\n\"Logarithmic\n\n
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\nCurated OER\n
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\nLogarithmic Form to Exponential Form and the Reverse\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nFor this algebra worksheet, students convert equations from logarithmic form to exponential form and do the reverse conversion. There are ten questions.\n
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Lesson Plan
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\n\"Logarithmic\n\n
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\nCurated OER\n
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\nLogarithmic Functions\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nLearners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...\n
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Worksheet
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\n\"Exponential\n\n
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\nCurated OER\n
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\nExponential and Logarithmic Functions - Ch. 7\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this exponential and logarithmic functions worksheet, students solve twety-two short answer multi-part problems. Students simplify logarithms using logarithm properties, solve logarithmic and exponential equations, and solve word...\n
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Lesson Plan
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\n\"Logarithms:\n\n
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\nAlabama Learning Exchange\n
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\nLogarithms: Undo the Exponential\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nRumor has it that an exponential can be undone. After playing a rumor game to model exponential growth, pupils learn about undoing exponential functions. They use the definition of the logarithm to convert exponential equations to...\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 plan, using logarithm tables to develop properties. Scholars...\n
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Assessment
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\n\"Defining\n\n
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\nConcord Consortium\n
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\nDefining Logarithms\n

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\n\nFor Students\n\n11th - 12th\n\nStandards\n
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\nAn inverse relationship exists between exponents and logarithms, allowing mathematicians to easily convert one to the other. Scholars apply a brief definition of logarithms with a few practice problems. Then, they discover the...\n
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Instructional Video3:12
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\n\"How\n\n
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\nCurated OER\n
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\nHow Do You Convert From Logarithmic Form to Exponential Form?\n

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\n\nFor Teachers\n\n10th - 11th\n
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\nConverting between logarithmic form and exponential form is an important skill in solving problems involving exponents. This video shows how to convert an equation in logarithmic form to exponential form. The instructor reviews the...\n
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Handout
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\n\"Properties\n\n
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\nShoreline Community College\n
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\nProperties of Logarithmic Functions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nUse a straightforward approach to understanding logarithmic properties and their role in solving exponential and logarithmic equations to your math class. The lesson begins with an overview of a logarithmic function and its...\n
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Lesson Plan
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\n\"The\n\n
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\nCurated OER\n
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\nThe UP's and Down's of Exponents\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nStudents explore the concept of exponents. In this exponential functions worksheet, students complete provided worksheets that require them to graph exponential functions by hand as well using graphing calculators.\n
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Worksheet
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\n\"Logarithmic\n\n
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\nCurated OER\n
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\nLogarithmic Forms\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nThere are 10 different problems related to particular logarithmic forms for learners to solve. They express each exponential form equation given in logarithmic form and write out the opposite of each form as illustrated.\n
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Unit Plan
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\n\"Unit\n\n
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\nVirginia Tech\n
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\nUnit Plan: Exponential and Logarithmic Functions\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nA six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction...\n
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Lesson Plan
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\n\"Bone\n\n
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\nTeach Engineering\n
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\nBone Density Math and Logarithm Introduction\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nWhat do logarithms have to do with bone density? Scholars learn that the equation for bone density includes logarithms. The majority of the third lesson of seven is devoted to logarithms and their properties.\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\"Introduction\n\n
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\nWest Contra Costa Unified School District\n
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\nIntroduction to Logarithms\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nBuild on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...\n
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Lesson Plan
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\n\"Common\n\n
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\nTeach Engineering\n
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\nCommon and Natural Logarithms and Solving Equations\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLog some practice with logarithms. A PowerPoint presentation provides a tutorial on the change of base formula involving natural logarithms and solving exponential equations with logarithms in the fourth installment of a seven-part...\n
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\n\nGet Free Access\n\nSee Review\n
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