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Lesson Plan
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\n\"Properties\n\n
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\nCurated OER\n
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\nProperties of Logarithmic Functions\n

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\n\nFor Teachers\n\n8th - 10th\n
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\nLearners solve exponential functions. In this algebra lesson, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.\n
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Assessment
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\n\"Smarter\n\n
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\nCCSS Math Activities \n
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\nSmarter Balanced Sample Items: High School Math – Target M\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nYour knowledge of graphs is a function of how much you try. Young mathematicians work on a set of 12 questions that covers graphing functions, comparing functions, and rewriting functions in different forms to determine key features....\n
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Assessment
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\n\"Quiz\n\n
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\nMt. San Antonio Collage\n
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\nQuiz 2: Types of Functions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nHere is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials. \n
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Instructional Video0:56
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\n\"Exponential\n\n
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\nBrightstorm\n
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\nExponential Functions and Their Graphs\n

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\n\nFor Students\n\n9th - 12th\n
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\nExpand your knowledge on exponential growth! A concept video features the definition of an exponential function. Eight problem videos cover graphing exponential functions, identifying exponential growth and decay, and applying...\n
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Lesson Plan
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\n\"Logarithmic\n\n
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\nVirginia Department of Education \n
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\nLogarithmic Modeling\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nExplore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...\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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Assessment
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\n\"Exponentials\n\n
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\nIllustrative Mathematics\n
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\nExponentials and Logarithms II\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nA simple question sometimes is the best for discussion. High schoolers compare a logarithmic and exponential function and composite them into one another. They graph and compare the difference between the domains. The solution contains...\n
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Lesson Plan
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\n\"Discovering\n\n
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\nCurated OER\n
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\nDiscovering Different Types of Functions\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nGraph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.\n
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Lesson Plan
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\n\"Transformational\n\n
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\nOdell Education\n
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\nTransformational Graphing\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nFind relationships between the structure of a function and its graph. An engaging instructional activity explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.\n
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Instructional Video10:29
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\n\"Conic\n\n
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\nCurated OER\n
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\nConic Sections: Hyperbolas 3\n

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\n\nFor Students\n\n10th - 12th\n
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\nContinuing with the study of graphing hyperbolas, Sal shows an example of graphing a parabola that is centered at a point off the origin. By looking at the equation, first without shifting it, he helps listeners develop an intuitive...\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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Assessment
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\n\"A\n\n
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\nBalanced Assessment\n
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\nA Loud Noise\n

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\n\nFor Students\n\n11th - 12th\n\nStandards\n
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\nIn a scale measuring noise, an increase in 10 dB is a 10 time increase in power. Mathematicians examine the data graph of a real world exponential growth, with no logarithmic scale, and then create two equations relating the...\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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\n\"Parent\n\n
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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\"Logarithmic\n\n
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\nCK-12 Foundation\n
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\nLogarithmic Differentiation: Graphing the Derivative of a Logarithm\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nLog the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...\n
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Worksheet
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\n\"Calculus\n\n
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\nCurated OER\n
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\nCalculus Worksheet\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this calculus worksheet, students solve 10 different problems that include determining the first derivative in each. First, they apply properties of logarithmic functions to expand the right side of each equation. Then, students...\n
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Lesson Plan
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\n\"Lesson\n\n
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\nCurated OER\n
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\nLesson #45 Graphs of Logarithmic and Exponential Functions\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nStudents investigate exponential and logarithmic functions.  For this Pre-calculus/Calculus lesson, students investigate the relationship between y = ln(x) and y = e^x.  Students graph the functions and show they are inverses...\n
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Handout
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\n\"Quick\n\n
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\nDel Mar College\n
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\nQuick Reference Card\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nA neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus. \n
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Lesson Plan
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\n\"Graph\n\n
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\nCurated OER\n
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\nGraph Logarithms\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nMathematicians graph logarithmic equations. Teach your students how to identify the intercepts of logarithmic equations and tell whether the function is increasing or decreasing. They find the domain and range of each function.\n
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Lesson Plan
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\n\"Family\n\n
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\nK20 LEARN\n
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\nFamily Ties: Exploring Families OF Functions\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nThey say it runs in the family. Small groups use a card sorting activity to group graphs of functions into families. After grouping by families, the class develops conclusions for parent functions and create a graphic organizer.\n
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Unit Plan
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\n\"Function\n\n
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\nRadford University\n
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\nFunction Family Fun\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nIt's time for a family reunion—function families, that is. Pupils first review different types of parent functions. They then see how to apply transformations to graphs and learn how to select the most appropriate type of function to...\n
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Activity
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\n\"Exponentials\n\n
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\nIllustrative Mathematics\n
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\nExponentials and Logarithms II\n

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\n\nFor Teachers\n\n8th - 12th\n\nStandards\n
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\nLearners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...\n
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Lesson Plan
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\n\"Exponential\n\n
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\nCurated OER\n
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\nExponential Reflections\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nHigh Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Students repeat the process using different exponential functions using a slider.\n
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Lesson Plan
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\n\"Curve\n\n
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\nOdell Education\n
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\nCurve of Best Fit\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nWhich function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...\n
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