University of Northern Texas
Continuity
Continue a study of calculus by using a slideshow to introduce the concept of continuity. After defining the term, the presentation provides examples of functions that are discontinuous and introduces different types of...
Flipped Math
Calculus AB/BC - Connecting Differentiability and Continuity
Despite what you thought, you can differentiate between continuity and differentiability. Using a short lesson, pupils learn how differentiability and continuity relate to each other. It provides three descriptions of when a function is...
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...
CK-12 Foundation
Continuity at a Point, Continuity Test, Types of Discontinuity: Properties of Continuous Functions
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...
Curated OER
Open Sets, Limits, Continuity
In this open sets worksheet, students give characteristics of an open set under given conditions. They graph functions and define limits. This two-page worksheet contains 3 multi-step problems with explanations.
Corbett Maths
Discrete and Continuous Data
Let's be discrete about the types of data. A short video provides the definitions of discrete and continuous data. After providing the definitions, the resource takes different types of data and sorts them based on type and provides an...
CK-12 Foundation
Graphs for Discrete and for Continuous Data: Discrete vs. Continuous Data
Not all data is the same. Using the interactive, pupils compare data represented in two different ways. The learners develop an understanding of the difference between discrete and continuous data and the different ways to represent each...
Flipped Math
Calculus AB/BC - Confirming Continuity Over an Interval
Confirm one's expertise with confirming continuity over an interval. Pupils first review how to determine the domain of a function taking denominators, roots, and logarithms into account. They then connect this concept to continuity in...
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...
Flipped Math
Calculus AB/BC End of Unit 1 Review: Limits and Continuity
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...
Mathematics Vision Project
Module 5: Features of Functions
The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas like...
Mathematics Vision Project
Features of Functions
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...
Curated OER
Continuous Probability Distributions
In this continuous probability distribution worksheet, students identify discrete and continuous distributions. They calculate the linear combination of the independent normal random variable and determine probabilities using exponential...
Curated OER
Math 155 - Fall 2002 Worksheet 3: Continuity
For 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.
Curated OER
Worksheet 9 - Functions
In this function worksheet, students explain continuous and noncontinuous function and graph derivatives. This two-page worksheet contains seven multi-step problems.
Curated OER
Worksheet 10: Continuous Functions
For this math worksheet, students answer 7 questions regarding continuous functions, domains, differentiables, and inverse functions.
EngageNY
More Examples of Functions
Discrete 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.
CK-12 Foundation
Continuous Interest
Continue teaching your financial scholars about interest. A slider interactive has users investigate the growth of an account earning continuous interest. A set of challenge questions has them solve problems given a variety of situations.
Curated OER
Piecewise Practice Problems
In this algebra activity, students validate continuity of a graph by a defined interval as well as determine continuity of a piecewise function.
Curated OER
Worksheet 8: Functions and Falling Bodies
For this math worksheet, students answer 6 questions having to do with continuous and differentiable functions, falling bodies, and derivatives.
Curated OER
Worksheet 6: Functions
In this math worksheet, young scholars answer 7 questions having to do with continuous functions, the Squeeze Theorem, and the Product Rule for differentiation.
Mathematics Vision Project
Linear and Exponential Functions
Provide a continuous progression to linear and exponential functions. Pupils continue to work with the discrete functions known as sequences to the broader linear and exponential functions. The second unit in a series of nine provides...
Curated OER
Six Continuity Problems
In this continuity activity, 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.
Curated OER
Caclulus Worksheet: Continuity of Functions
In this continuity of functions worksheet, students solve calculus function problems. They find the limits and determine when a function is continuous. This one-page worksheet contains 3 multi-step problems.