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 limit.
Old Dominion University
Introduction to Calculus
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
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.
Curated OER
Introduction to Limits
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
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 midpoint...
Curated OER
Limit Estimation
In this pre-calculus worksheet, students estimate the limit of trig functions and rational functions as x approaches a number. There are 4 questions.
Curated OER
Functional Analysis
Learners perform functional analysis. In this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
Curated OER
Finding the Limit of Composite functions
In this pre-calculus worksheet, students calculate the composite of two functions as well as perform basic operations in order to determine the limit as x approaches a given number. There are 4 questions.
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
Curated OER
Graphs of the Sine and Cosine Function
In this college level Pre-Calculus worksheet, students investigate the graphs of the sine and cosine functions. The six page worksheet contains seventy-eight problems. Solutions are not provided.
Curated OER
Graph of the Tangent, cotangent, Secant, and Cosecant Functions
In this college level Pre-calculus worksheet, students examine the graphs of the Tangent, cotangent, secant, and cosecant functions. Students find the intercepts and any asymptotes. The seven page worksheet contains sixty-six...
Curated OER
Mathematics B: High School Exam
In this mathematics worksheet, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet contains, but is not limited to, radicals, inverse functions, transformations, and...
Curated OER
Definition Of The Derivative
Students engage in a lesson that is concerned with the concept of a derivative. They define the concept of a derivative and then complete an assignment that is included in the lesson. Students then graph the derivative and draw its...
Curated OER
Mathematical Modeling
In this Pre-Calculus activity, students investigate the process of formulating, solving, and interpreting mathematical models. The ten page activity contains explanation and four solved examples to serve as a guide for the modeling...
Curated OER
L'Hopital's Rule
Students discover and perfect methods of calculation based on rewriting, simplifying, and logarithmic L'Hopital when the traditional applications fail to produce a result.
Texas Instruments
TI-Nspire™ CAS
When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning...
Kenan Fellows
Attack of the Aphids!
Insects threaten the food production industry, and aphids are one of the big players! Analyzing data of aphid populations gives insight into their behaviors. Learners model the population data of an uninhibited population with an...