Flipped Math
Calculus AB/BC - Defining Continuity at a Point
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...
CK-12 Foundation
Continuity of a Function: Continuity
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...
Balanced Assessment
A Sharper Image
Not 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, learners explain the...
EngageNY
Graphing the Logarithmic Function
Teach collaboration and communication skills in addition to graphing logarithmic functions. Scholars in different groups graph different logarithmic functions by hand using provided coordinate points. These graphs provide the basis for...
Flipped Math
Calculus AB/BC - Determining Concavity of Functions over Their Domains
Time to take a second look at derivatives finding concavity. While watching the video, learners find out the definition of concavity. Individuals see how to determine whether an interval is concave up or concave down using graphs and the...
CK-12 Foundation
Properties of Definite Integrals
Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....
West Contra Costa Unified School District
Comparing Rational Functions and Simplified Functions
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 to...
Curated OER
Lesson #15 Continuity
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...
Curated OER
A.P. Calculus Test Chapter 2 Limits and Continuity
In this limits and continuity test, students solve 8 multiple choice questions. They define the words limits and continuity. Students determine the limits of 8 functions. Students find the value for a constant in one function, and prove...
Curated OER
Worksheet 31 - Spring 1996
In this math worksheet, students read the definition of continuity found in Calculus. Then they graph the functions while defining the points of continuity.
Curated OER
Limits and Continuity
In this calculus worksheet, students work problems containing functions, limits and dealing with continuity. They evaluate functions and use the limits theorem to help find the correct answer. There are 26 questions.
Curated OER
Comparing Cities and Their Common Functions
Ninth graders begin the lesson by watching a PowerPoint on the functions of cities. In groups, they use the internet to research various cultures throughout history and the cities that were formed at the time. They present their findings...
Mt. San Antonio Collage
Quiz 1: Functions, Domain and Range
Take 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.
Curated OER
Worksheet 1
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...
CK-12 Foundation
Absolute Versus Local Extrema
Get the class to take an extreme look at functions. The interactive presents a function on a closed interval with a movable tangent line. Using the given function, pupils determine the extrema, critical points, and points of inflection.
St. Louis Community College
Verb Tenses
Help your pupils keep their simple, perfect, and progressive tenses straight with a reference page. Each verb tense is paired with a definition and at least one sample sentence.
Curated OER
The Limit Definition of a Definite Integral
In this calculus worksheet, learners calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.
Curated OER
Domain and Range
Relations, and functions, and line tests, oh my! An instructional slideshow demonstrates the definitions of a relation, a function, and the domain and range of a relation. Viewers then learn how to use mappings and vertical line tests to...
College Board
2010 AP® Calculus AB Free-Response Questions
Is this going to be on the test? The resource contains the AP Calculus AB free-response questions that were on the 2010 test. Pupils use the six questions to prepare for their tests. Teachers use the included response resources to...
Curated OER
Continuous Probability Distributions
Learners practice continuous probability distributions. In this probability lesson, students calculate probability, use probability functions, and use rectangular distribution.
West Contra Costa Unified School District
Using Derivatives to Graph Polynomials
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...
Curated OER
Multivariable Calculus: Limits of Multivariable Functions
In this multivariable function worksheet, students find the limits of a function, identify the domain, and explore continuous functions. This two page worksheet contains explanations, definitions, and examples. There are approximately...
Flipped Math
Calculus AB/BC - Unit 2 Review: Differentiation
Tie up everything in one differentiable bow. Pupils work through 20 problems to review the concepts from the unit. The problems range from finding the average rate of change to finding the derivatives of various functions that require...
Curated OER
Quadratic Equations and Functions
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree. Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few word...