Interactive
CK-12 Foundation

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

For Students 11th - Higher Ed
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...
AP Test Prep9:20
1
1
Flipped Math

Calculus AB/BC - Defining Continuity at a Point

For Students 10th - 12th
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...
Interactive
CK-12 Foundation

Continuity of a Function: Continuity

For Students 10th - Higher Ed
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...
Interactive
CK-12 Foundation

Graphs for Discrete and for Continuous Data: Discrete vs. Continuous Data

For Students 7th - 12th
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...
AP Test Prep
1
1
Flipped Math

Calculus AB/BC End of Unit 1 Review: Limits and Continuity

For Students 10th - 12th
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...
Lesson Plan
Curated OER

Worksheet 10: Continuous Functions

For Teachers 12th - Higher Ed
In this math worksheet, students answer 7 questions regarding continuous functions, domains, differentiables, and inverse functions.
Worksheet
Curated OER

Math 155 - Fall 2002 Worksheet 3: Continuity

For Students 11th - 12th
In 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.
Lesson Plan
Curated OER

Worksheet 6: Functions

For Teachers 12th - Higher Ed
In this math worksheet, young scholars answer 7 questions having to do with continuous functions, the Squeeze Theorem, and the Product Rule for differentiation.
Unit Plan
Mathematics Vision Project

Linear and Exponential Functions

For Teachers 9th - 10th Standards
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...
Worksheet
Curated OER

The Future Perfect Simple and Continuous Exercise

For Students 4th - 6th
In this recognizing verb usage worksheet, students use context clues to fill in the blanks and complete sentences with verbs in the future perfect simple or continuous tenses and then create additional sentences. Students write 19 answers.
Lesson Plan
Illustrative Mathematics

Introduction to Linear Functions

For Teachers 7th - 9th Standards
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
Lesson Plan
Curated OER

Dialogue Practice with the Continuous Tenses

For Teachers 5th - 8th
Students work with a partner to write dialogues using the present continuous, past continuous, future continuous and present perfect continuous tenses about an real situation. They perform the dialogues in front of the class.
Worksheet
Curated OER

Present Continuous

For Students Higher Ed
In this present continuous worksheet, students will focus on verb usage. Using the words and pictures provided, students will write 8 sentences about the photos using the present continuous tense.
Interactive
Curated OER

Past Simple and Past Continuous

For Students 3rd - 6th
For this past simple and past continuous worksheet, students fill in the blanks to sentences by choosing the correct word or filling in the correct tense. Students complete 6 exercises.
Worksheet
Curated OER

Present Continuous

For Students Higher Ed
For this verb worksheet, students will focus on the present continuous tense. Students will read 7 questions and answer each question with a positive or negative response according to the picture shown for each.
Assessment
1
1
Balanced Assessment

A Sharper Image

For Students 11th - 12th
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, students...
Worksheet
Curated OER

Limits and Continuity

For Students Higher Ed
In this limit worksheet, student evaluate functions and determine the continuous limits. This one-page worksheet contains three multi-step problems.
Lesson Plan
Curated OER

Worksheet 3 - Functions

For Teachers Higher Ed
In this function worksheet, students solve functions with a continuous derivative. This one-page worksheet contains six multi-step problems.
Interactive
CK-12 Foundation

Vertical Translations: Translating a Square Root Function

For Students 10th - 12th Standards
How does the equation of a function reflect translations? Scholars manipulate the starting point of the parent square root function before determining the new equations that result from the translations. Class members also determine the...
Lesson Plan
EngageNY

Graphing the Logarithmic Function

For Teachers 10th - 12th Standards
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...
AP Test Prep19:26
1
1
Flipped Math

Calculus AB/BC - Determining Concavity of Functions over Their Domains

For Students 10th - 12th
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...
Worksheet
Curated OER

Continuity and Limits

For Students 11th - 12th
In this continuity and limits worksheet, students solve and complete 4 different types of problems. First, they determine which of the limits shown exist and then, evaluate them. They also find which functions are continuous at a given...
Lesson Plan
Curated OER

VARIABLES AND PATTERNS, USE AFTER INVESTIGATION THREE. DISCRETE OR CONTINUOUS LINEAR RELATIONS.

For Teachers 7th - 8th
Students discover for which kind of linear function is appropriate to use the "scatter" or the "connected" term. In this instructional activity, students investigate functions using variables, patterns book, graph paper, rulers and the...
Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...