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\n\n31\nItems in Topic\n\n
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\n\"Krista\n\n
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\nLesson Planet Curated\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\n73\nItems in Unit\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\nGet Free Access\n
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\n\n103\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 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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Instructional Video4:08
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\n\"How\n\n
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\nKrista King Math\n
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\nHow to Calculate the Difference Quotient\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nThe difference quotient looks worse than it is. Determining the difference quotient is the first step in finding the derivative using the definition. The second segment in a series of 31 works through an example of simplifying the...\n
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Instructional Video2:47
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\nThe Difference Quotient (Linear Function) Example 1\n

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\n\nFor Students\n\n8th - 11th\n
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\nDifference quotients are easy ... just subtract and divide. Viewers watch an instructional video to learn how to determine the difference quotient of a linear function. The example covers the function f(x) = 2x - 5. \n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video4:40
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\nThe Difference Quotient (Quadratic Function) Example 3\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nTake an example out of more advanced math. Pupils observe how basic algebraic concepts help solve expressions from higher level math courses. The video from a Mathispower4u Algebra 1 series shows the evaluation and simplification of the...\n
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Instructional Video4:18
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\n\"Computing\n\n
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\nBrightstorm\n
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\nComputing Difference Quotients - Concept\n

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\n\nFor Students\n\n9th - 12th\n
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\nTaking precalculus will make finding tangents secant nature! Many people are confused by using difference quotients with limits in a derivative, and these videos help break it into smaller pieces. Leaving out the derivative and the...\n
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Instructional Video4:42
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\nThe Difference Quotient (Quadratic Function) Example 2\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nUse a calculus concept to build algebra skills. A helpful Mathispower4u Algebra 1 video uses the difference quotient, a typical expression from calculus, to show different algebraic techniques. Pupils observe applications of function...\n
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Lesson Plan
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\n\"Average\n\n
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\nCurated OER\n
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\nAverage Rate of Change, Difference Quotients, and Approximate Instantaneous Rate of Change\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nPupils, with the assistance of their TI-84 Plus / TI-83 Plus calculators, distinguish meanings from right, left and symmetric difference quotients that include rate of change and graphical interpretations. They utilize symmetric...\n
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Instructional Video12:15
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\nKrista King Math\n
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\nDefinition of the Derivative to Find the Derivative\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nServe up the definition of the derivative two ways. Video three in a series of 31 begins with making the distinction between the difference quotient and the definition of the derivative. The presentation shows two ways the definition is...\n
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Instructional Video7:23
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\n\"Finding\n\n
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\nFinding Function Values\n

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\n\nFor Students\n\n8th - 11th\n\nStandards\n
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\nPrepare early for higher-level math. Viewers of a short video learn to evaluate functions for specified values. They also see how to substitute x + h to evaluate a difference quotient like the one used when algebraically determining...\n
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Instructional Video16:50
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\nThe Paradox of the Derivative | Essence of Calculus, Chapter 2\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIt turns out that \"instantaneous rate of change\" isn't an accurate representation of the derivative. Viewers of the second video in a series of 11 learn about the concept of the derivative, from the limit of a difference quotient to the...\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 1: Functions, Domain and Range\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nTake the work out of worksheets and use these problems and worked-out answer key as a resource. The problems reinforce skills in domain and range, identifying graphs, and even and odd functions.\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 1: Graphing Functions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nGraph the night away with all the different types of functions provided in the worksheet. Linear, quadratic, and rational all ask for graphs, domain and range and other key factors about the functions.\n
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Worksheet
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\n\"Using\n\n
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\nCurated OER\n
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\nUsing Addends and Sum/Using Subtrahend, Minuend, and Difference\n

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\n\nFor Students\n\n2nd - 4th\n
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\nWhat is an addend? What is a sum? Review this math terminology on the top half of the worksheet before practicing basic addition. \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 1: Types of Functions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nSometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...\n
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Instructional Video17:05
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\n\"Essence\n\n
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\nEssence of Calculus, Chapter 1\n

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\nDive into the essence of calculus. The first installment of an 11-part playlist introduces the video series by looking at the area of a circle and the area under curves. The narrator explains how to look at calculus as taking a hard...\n
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AP Test Prep8:58
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\nCalculus AB/BC - Can Change Occur at an Instant?\n

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\n\nFor Students\n\n10th - 12th\n
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\nBe instantly transfixed by the idea of instantaneous rates of change. Scholars watch an informative video that introduces the fathers of calculus, Newton and Leibniz. They then learn about instantaneous rates of change by first...\n
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AP Test Prep
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\nCalculus AB/BC Mid-Unit 1 Review: Limits\n

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\n\nFor Students\n\n10th - 12th\n
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\nLimit the amount one forgets about limits. A mid-unit review lesson has individuals complete a worksheet of problems on limits. They go over the meaning of limits, evaluate limits algebraically, use graphs and tables to find limits, and...\n
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Worksheet
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\n\"Word\n\n
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\nWord Problems\n

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\nFor this algebra activity, 9th graders rewrite word problems into algebraic sentences. They define sum, difference, quotient and factors. There are 5 word problems with an answer key.\n
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Worksheet
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\nThe Derivative\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this derivative worksheet, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page worksheet contains definitions, examples, and five...\n
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AP Test Prep
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\n\"Beginning\n\n
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\nCollege Board\n
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\nBeginning the Year with Local Linearity\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nLocal linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...\n
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Lesson Plan
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\n\"Symbols\n\n
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\nCurated OER\n
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\nSymbols in Algebra\n

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\n\nFor Teachers\n\n8th - 10th\n
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\nStudents name and sketch numerical expressions. In this order of operation lesson, students add, subtract, multiply and divide using the correct order of operation. They perform four specific calculations for their motivation lesson.\n
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\n\"Symmetric\n\n
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\nSymmetric Secant\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nMathematicians use a symmetric secant line to prove the derivative at a point. In this trigonometry lesson, students create secant lines on the navigator to analyze the derivative. They move the lines around and make observations.\n
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