Curated OER
Continuity and Limits
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...
Curated OER
Finding the Limit: Piecewise Functions and Graphs
This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
Radford University
Skate Ramp
Going up and down makes a more exciting ride. Pupils recall what they know about continuity and limits of functions. Working in groups, classmates design a skateboard ramp that meets a given set of criteria, using at least three...
Curated OER
Worksheet 2: Graphs, Functions and Derivatives
In this math worksheet, students answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.
Curated OER
Functions - Intro and Inverses
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
Macmillan Education
Understanding Your Skills and Talents
Skills, talents, and personal qualities are the focus of the fourth session in a 23-lesson series of life skills exercises. Participants build a mind map of all the skills and talents in the class, and then groups work together to...
Curated OER
Quiz: Logarithmic Functions
Explore logarithmic functions, and have pupils solve 10 different problems that include various logarithmic functions. First, they find the domain of a given function and then the range. They also consider a graph that has a limited...
Curated OER
Worksheet 26 - Functions & Logarithms
In this function and logarithms worksheet, students find the domain and range of functions, use the properties of logs to solve equations. This one-page worksheet contains nine multi-step problems.
Curated OER
Discussion Sheet 9: Functions and Limits
In this function and limits worksheet, students identify a one-to-one correspondence and identify an inverse function. They compute limits of functions. This two-page worksheet contains five multi-step problems.
Curated OER
Function and Expression Cards
In this function and expression cards activity, students practice exercising the request on twenty-four cards in exchange of conversation with another person.
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.
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...
Mathematics Vision Project
Module 7: Modeling with Functions
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...
CK-12 Foundation
Infinite Limit Type: Asymptotes and End Behavior Question
There are an infinite number of reasons to use the resource. Scholars drag vertical and horizontal lines to the graph of a rational function to identify all asymptotes. They investigate the connection between asymptotes and limits to...
Curated OER
Is There a Limit to Which Side You Can Take?
Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.
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...
West Contra Costa Unified School District
Graphing Exponential Functions
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
Curated OER
Math 155 - Fall 2002 Worksheet 3: Continuity
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.
Royal Society of Chemistry
Functional Groups
Looking for a highly functional tool to teach young chemists functional groups? Engage the class with a series of logic-based games. Users identify 12 different functional groups by name and formula to work their way through challenging...
National Security Agency
Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a...
PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
Virginia Department of Education
Functions: Domain, Range, End Behavior, Increasing or Decreasing
Examine key features of various functions through exploration. A comprehensive lesson plan has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
EngageNY
Tides, Sound Waves, and Stock Markets
Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions.
PBL Pathways
Doctors and Nurses
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year...