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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 5: Analytical Applications of Differentiation\n

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\n\nFor Students\n\n11th - 12th\n
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\nFourteen lessons make up Unit 5 - Analytical Applications of Differentiation of the AP Calculus AB module. For each lesson, scholars watch a short video explaining a process and then complete provided practice problems to gain mastery....\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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Interactive
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\n\"Intermediate\n\n
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\nCK-12 Foundation\n
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\nIntermediate Value Theorem, Existence of Solutions: Function Exploration\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nDoes the value exist? The interactive allows pupils to visualize the Intermediate Value Theorem. Using the visualization, individuals respond to questions using specific values and general values. The class comes to the conclusion what...\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video7:10
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\n\"How\n\n
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\nKrista King Math\n
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\nHow to use the Intermediate Value Theorem\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nDevelop an expert (not intermediate) understanding of the Intermediate Value Theorem with a video that teaches young mathematicians about the Intermediate Value Theorem. It introduces the idea of proving that a root exists in an...\n
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Lesson Plan
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\nCurated OER\n
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\nThe Intermediate Value Theorem\n

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\n\nFor Teachers\n\n11th - Higher Ed\n
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\nYou and your calculus learners will appreciate this description, discussion, and examples of the Intermediate Value Theorem. Applications of the theorem are also discussed.\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep
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1
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - Intermediate Value Theorem (IVT)\n

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\n\nFor Students\n\n10th - 12th\n
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\nAcquire expert-level knowledge in the Intermediate Value Theorem. Viewers of an informative video learn about the Intermediate Value Theorem. After learning the definition, they consider several examples where they must apply the theorem...\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video4:54
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\n\"Intermediate\n\n
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\nKrista King Math\n
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\nIntermediate Value Theorem to Prove a Root in an Interval\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nViewers os this short video learn how to prove that a root exists in a given interval without having to determine the actual value of the root. Applying the Intermediate Value Theorem is most helpful in this situation.\n
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Worksheet
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\n\"Intermediate\n\n
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\nCurated OER\n
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\nIntermediate Value Theorem Problems\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this intermediate value theorem worksheet, students apply the intermediate value theorem in three problems and state the intermediate value theorem in another problem.\n
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Worksheet
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\n\"Discussion\n\n
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\nDiscussion Sheet 7: Intermediate Value Theorem\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this intermediate value theorem worksheet, students use the intermediate value theorem to verify that equations are solvable. They find the slope, and determine the height and radius of given figures. Students complete rate and...\n
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Worksheet
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\nIntermediate Value Theorem\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this Intermediate Value Theorem worksheet, learners identify and explain a continuous function. They use the Intermediate Value Theorem to prove solutions of equations. This two-page worksheet contains three problems.\n
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Lesson Plan
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\nWorksheet 15-Fall 1995\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this math worksheet pupils use the intermediate value theorem to solve two problems. They find parallel lines that will cut a convex shape into two pieces with equal areas. Students repeat this problem with a concave shape. Pupils...\n
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AP Test Prep
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - Using the Mean Value Theorem\n

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\nAt some point the rate of change must be the average. Pupils first see the definition of the Mean Value Theorem and hear an explanation of it in simple terms. The helpful video then compares the Mean Value Theorem with the Intermediate...\n
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Interactive
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\n\"Continuity\n\n
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\nCK-12 Foundation\n
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\nContinuity at a Point, Continuity Test, Types of Discontinuity: Properties of Continuous Functions\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nTake a closer look at continuous functions within given intervals. Using the parent cubic function, learners explore properties of continuous functions on intervals. Pupils interpret the Intermediate Value Theorem and the Extreme Value...\n
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Lesson Plan
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\nCurated OER\n
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\nWorksheet 8, Exponents\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nIn this calculus worksheet, students analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Students solve...\n
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Worksheet
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\n\"Six\n\n
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\nCurated OER\n
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\nSix Continuity Problems\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this continuity learning exercise, students examine six functions for continuity.  Students find values to make a peice-wise function continuous, state domains, use limits, and the Intermediate Value Theorem.\n
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Instructional Video6:56
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\n\"Prove\n\n
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\nKrista King Math\n
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\nProve the Equation Has at Least One Real Root\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nDiscover some more applications of the Intermediate Value Theorem with a video that shows how to prove that an equation has at least one real solution. Viewers learn to consider domain and range to identify an appropriate interval to use...\n
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Worksheet
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\n\"Math\n\n
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\nCurated OER\n
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\nMath 155 - Worksheet 3. Limits\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this limits activity, students use the intermediate value theorem to explore intervals. They sketch a graph of the function and determine the correct property of limits to evaluate the limit. This two-page activity contains five...\n
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Worksheet
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\n\"Challenge\n\n
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\nCurated OER\n
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\nChallenge Discussion Sheet 2\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this function worksheet, students write a function for the volume of a cube, determine limits using trigonometric functions, sketch graphs, and use the Intermediate Value Theorem to prove solutions of problems. this one-page...\n
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Worksheet
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\nDiscussion Sheet 2: Domain and Range\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this domain and range instructional activity, students determine the domain and range of a function, compute the limits of a function, and use the intermediate value theorem to verify that an equation is solvable. This one-page...\n
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Worksheet
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\nWorksheet 5: Functions & Limits\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this function instructional activity, students determine the limits of functions, sketch graphs, and use the Intermediate-Value Theorem for functions. This two-page instructional activity contains twenty-two problems.\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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Activity
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\n\"Unstable\n\n
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\nCurated OER\n
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\nUnstable Table\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nBothered by a wobbly table? Learn how to fix this problem using concepts of slope and continuity. Pupils first consider the problem in two dimensions and then progress to three dimensions. The solution is really quite simple.\n
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Activity
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\n\"Temperatures\n\n
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\nIllustrative Mathematics\n
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\nTemperatures in degrees Fahrenheit and Celsius\n

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\n\nFor Teachers\n\n8th - 12th\n\nStandards\n
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\nLearners investigate the relationship between the Fahrenheit and Celsius temperature scales. Given two data points, they construct a linear function to describe the relationship, find the inverse of the function, and make observations...\n
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Lesson Plan
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\n\"Polynomial\n\n
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\nCurated OER\n
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\nPolynomial Divisions\n

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\n\nFor Teachers\n\n8th - 10th\n
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\nYoung scholars factor polynomials and use long division t solve problems. In this algebra lesson, students find the zeros of polynomials by synthetic and long division. They perform operation using complex numbers.\n
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