{"results":"
\n\n
\n
\n
\n
Instructional Video9:56
\n
\n
\n
\n\"Introduction\n\n
\n
\n
\n
\nMathispower4u\n
\n

\nIntroduction to Discrete and Continuous Functions\n

\n
\n\nFor Students\n\n8th - 11th\n\nStandards\n
\n
\n
\nDiscreetly learn about discrete functions. Scholars watch an educational video to first learn how to distinguish between discrete and continuous functions. They then see how to complete function tables for real-world situations and to...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Worksheet\n\n
\n
\n
\n
\nCurated OER\n
\n

\nWorksheet 10: Continuous Functions\n

\n
\n\nFor Teachers\n\n12th - Higher Ed\n
\n
\n
\nIn this math worksheet, students answer 7 questions regarding continuous functions, domains, differentiables, and inverse functions.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Interactive
\n
\n
\n
\n\"Continuity\n\n
\n
\n
\n
\nCK-12 Foundation\n
\n

\nContinuity at a Point, Continuity Test, Types of Discontinuity: Properties of Continuous Functions\n

\n
\n\nFor Students\n\n11th - Higher Ed\n
\n
\n
\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
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"More\n\n
\n
\n
\n
\nEngageNY\n
\n

\nMore Examples of Functions\n

\n
\n\nFor Teachers\n\n8th\n\nStandards\n
\n
\n
\nDiscrete or not discrete? Individuals learn about the difference between discrete and non-discrete functions in the fourth installment of a 12-part module. They classify some examples of functions as being either discrete or non-discrete.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Worksheet\n\n
\n
\n
\n
\nCurated OER\n
\n

\nWorksheet 6: Functions\n

\n
\n\nFor Teachers\n\n12th - Higher Ed\n
\n
\n
\nIn this math worksheet, students answer 7 questions having to do with continuous functions, the Squeeze Theorem, and the Product Rule for differentiation.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Assessment
\n\n\n\n\n\n\n
1
\n\n\n\n\n\n\n\n1\n\n\n\n\n
\n
\n
\n\"A\n\n
\n
\n
\n
\nBalanced Assessment\n
\n

\nA Sharper Image\n

\n
\n\nFor Students\n\n11th - 12th\n
\n
\n
\nNot all continuous functions are differentiable. Pupils find three types of functions that are defined everywhere but not differentiable for all values of x. Along with providing examples of each type of function, students...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Assessment
\n\n\n\n\n\n\n
1
\n\n\n\n\n\n\n\n1\n\n\n\n\n
\n
\n
\n\"Melons\n\n
\n
\n
\n
\nBalanced Assessment\n
\n

\nMelons and Melon Juice\n

\n
\n\nFor Students\n\n9th - 12th\n\nStandards\n
\n
\n
\nModel the difference between the graphs of discrete and continuous functions. Scholars examine two scenarios and construct graphs to model the situation. They then compare their graphs that illustrate the subtle difference between these...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Worksheet\n\n
\n
\n
\n
\nCurated OER\n
\n

\nWorksheet 31 - Spring 1996\n

\n
\n\nFor Students\n\n11th - Higher Ed\n
\n
\n
\nIn this math worksheet, students read the definition of continuity found in Calculus. Then they graph the functions while defining the points of continuity.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Worksheet\n\n
\n
\n
\n
\nCurated OER\n
\n

\nWorksheet 5: Functions & Limits\n

\n
\n\nFor Students\n\n12th - Higher Ed\n
\n
\n
\nIn this function worksheet, students determine the limits of functions, sketch graphs, and use the Intermediate-Value Theorem for functions. This two-page worksheet contains twenty-two problems.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Continuous\n\n
\n
\n
\n
\nCurated OER\n
\n

\nContinuous Functions\n

\n
\n\nFor Students\n\n12th - Higher Ed\n
\n
\n
\nIn this continuous function instructional activity, students determine the average velocity of objects over given intervals of time. They compute the derivative of functions and determine the slope of a line. This four-page...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Worksheet\n\n
\n
\n
\n
\nCurated OER\n
\n

\nWorksheet 1\n

\n
\n\nFor Teachers\n\nHigher Ed\n
\n
\n
\nIn this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Piecewise\n\n
\n
\n
\n
\nCurated OER\n
\n

\nPiecewise Practice Problems\n

\n
\n\nFor Students\n\n10th - 12th\n
\n
\n
\nIn this algebra worksheet, students validate continuity of a graph by a defined interval as well as determine continuity of a piecewise function.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Interactive
\n
\n
\n
\n\"Intermediate\n\n
\n
\n
\n
\nCK-12 Foundation\n
\n

\nIntermediate Value Theorem, Existence of Solutions: Function Exploration\n

\n
\n\nFor Students\n\n11th - Higher Ed\n
\n
\n
\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
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Clarification\n\n
\n
\n
\n
\nCurated OER\n
\n

\nClarification and Extra Problems for Homework 10: Metric Space\n

\n
\n\nFor Students\n\n12th - Higher Ed\n
\n
\n
\nIn this metric space worksheet, learners define a compact metric space, and explore continuous functions. They prove a function converges uniformly. This one-page worksheet contains six problems.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Math\n\n
\n
\n
\n
\nCurated OER\n
\n

\nMath 155 - Fall 2002 Worksheet 3: Continuity\n

\n
\n\nFor Students\n\n11th - 12th\n
\n
\n
\nIn this continuity worksheet, students solve 5 short answer problems about continuity.  Students determine where functions are continuous and find the limits of functions at points of discontinuity.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Interactive
\n
\n
\n
\n\"Continuity\n\n
\n
\n
\n
\nCK-12 Foundation\n
\n

\nContinuity of a Function: Continuity\n

\n
\n\nFor Students\n\n10th - Higher Ed\n
\n
\n
\nDoes the point continually move along the graph? Pupils drag a line across two functions to determine whether they are continuous or not. They answer questions about the properties of continuous and discontinuous functions. Using their...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Lesson Plan
\n
\n
\n
\n\"Why\n\n
\n
\n
\n
\nEngageNY\n
\n

\nWhy Stay with Whole Numbers?\n

\n
\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
\n
\n
\nDomain can be a tricky topic, especially when you relate it to context, but here is a lesson that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin and...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Continuous\n\n
\n
\n
\n
\nCurated OER\n
\n

\nContinuous Function\n

\n
\n\nFor Students\n\nHigher Ed\n
\n
\n
\nIn this continuous function instructional activity, students identify continuous functions, and use limits to determine the horizontal asymptotes. This two-page instructional activity contains three problems.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Multivariable\n\n
\n
\n
\n
\nCurated OER\n
\n

\nMultivariable Calculus: Limits of Multivariable Functions\n

\n
\n\nFor Students\n\nHigher Ed\n
\n
\n
\nIn this multivariable function activity, students find the limits of a function, identify the domain, and explore continuous functions. This two page activity contains explanations, definitions, and examples. There are approximately four...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Fundamental\n\n
\n
\n
\n
\nCurated OER\n
\n

\nFundamental Theorem of Calculus\n

\n
\n\nFor Students\n\nHigher Ed\n
\n
\n
\nIn this fundamental theorem instructional activity, students give antiderivatives of functions, find the area under a curve, and evaluate continuous functions. This two-page instructional activity contains ten problems.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Worksheet\n\n
\n
\n
\n
\nCurated OER\n
\n

\nWorksheet 12: Relative Maximum and Minimum\n

\n
\n\nFor Students\n\n12th - Higher Ed\n
\n
\n
\nIn this relative maximum learning exercise, students determine the velocity and the relative maximum and minimum of given functions. They identify continuous functions and illustrate their graphs of functions. This three-page learning...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Worksheet\n\n
\n
\n
\n
\nCurated OER\n
\n

\nWorksheet 4: Evaluating Integrals\n

\n
\n\nFor Students\n\nHigher Ed\n
\n
\n
\nIn this integral worksheet, students evaluate integrals, set up definite integrals, determine distance, mass and volume, differentiate functions, and identify continuous functions This two-page worksheet contains approximately...\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Supplemental\n\n
\n
\n
\n
\nCurated OER\n
\n

\nSupplemental Exercises for Section 2.6\n

\n
\n\nFor Students\n\n12th - Higher Ed\n
\n
\n
\nPracting their functions skills, students solve seven short answer (computation) problems. They tell the points that each function is continuous. The answers to three of the problems are included on the worksheet.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n
\n\n
\n
\n
\n
Worksheet
\n
\n
\n
\n\"Worksheet\n\n
\n
\n
\n
\nCurated OER\n
\n

\nWorksheet 2\n

\n
\n\nFor Students\n\nHigher Ed\n
\n
\n
\nIn this functions worksheet, students determine the values of the variables so that the function is continuous for x. They solve one word problem (application problem) related to percents.\n
\n
\n
\n\nGet Free Access\n\nSee Review\n
\n
\n
\n
\n\n
\n\n\n","pagination":"
\n
\n
\n"}