In this points of discontinuity worksheet, students observe graphs and label them as points of discontinuity and non-differentiability. They identify the derivatives of functions. This one-page worksheet contains five multi-step problems.

Highlight the process of mathematical discovery for your classes. This lesson examines the development of the Fundamental Theorem of Calculus over time. Understanding the history of the theorem helps create a better understanding of the...

Take 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...

Learning about continuity is a continuous process. An educational video first shows individuals the definition of continuity at a point. They see several examples on the topic and then investigate how to identify the types of...

What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order...

Discover different patterns by making connections between a rational function and its graph. An engaging instructional activity asks scholars to explore the behavior of different rational functions. Groups discover a connection...

Does 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...

Test the limits of one's knowledge on continuity. The last of 18 installments in Unit 1 - Limits and Continuity is an end-of-unit review learning exercise. Individuals identify and classify discontinuities, investigate continuity at a...

In this Algebra II activity, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes.  The three page activity contains explanation of topic, several...

In this Algebra II worksheet, students are given a test of twenty-three problems regarding Rational Expressions and Rational Equations.  Some of the questions are multiple choice, while others are word problems or problem solving...

In this continuity worksheet, learners solve 5 short answer problems about continuity.  Students determine where functions are continuous and find the limits of functions at points of discontinuity.

In this limits worksheet, students solve 6 short answer problems.  Students find the limits of functions, points of discontinuity, and the derivatives of functions.

For this limits worksheet, students evaluate limits and graph given expressions. They classify graphs as removable discontinuities, jump discontinuities, or asymptotes. this two-page worksheet contains seven multi-step problems.

Students explore the definition of continuity, graph problems, and discover how this relates to problems. They identify a function, the point of continuity or the point of discontinuity, Students examine graphs to determine if they are...

Students find the derivatives of functions.  In this finding the derivatives of functions lesson, students use the definition of derivative to take the derivative of a function.  Students discuss scenarios in which the...

Students examine graphs to determine if they are continuous at a given point.  In this examining graphs to determine if they are continuous at a given point instructional activity, students examine various graphs.  Students...

In this Algebra II worksheet, students assess their knowledge of rational algebraic expressions. The three page worksheet contains a combination of twenty-three multiple choice, short answer, and word problems. Answers are not...

In this math instructional activity, students read the definition of continuity found in Calculus. Then they graph the functions while defining the points of continuity.

In this logarithms worksheet, students compute logarithms and investigate the analyticity of the log. This four page worksheet contains approximately five multi-step problems. Examples and explanations are provided throughout the worksheet.

Students engage in a lesson that is concerned with defining and drawing the graph of a derivative. The lesson includes a definition and examples to lead them away from any misconceptions. They graph derivatives using examples that are...

In this limit learning exercise, students find the interval values of given functions. They identify constants, and plot graphs. This three-page learning exercise contains approximately 20 problems.

In this algebra worksheet, 11th graders graph rational functions. They identify the asymptote, discontinuity, holes and vertex. There are 14 questions with an answer key.

Students graph Taylor polynomials. In this calculus lesson, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.

In 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...