+
Lesson Plan
National Security Agency

Multiple Representations of Limits

For Students 11th - 12th Standards
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. 
+
eBook
Old Dominion University

Introduction to Calculus

For Teachers 11th - Higher Ed Standards
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,...
+
Worksheet
Curated OER

Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus learning exercise 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.
+
Worksheet
Curated OER

Limit Estimation

For Students 9th - 12th
In this pre-calculus learning exercise, students estimate the limit of trig functions and rational functions as x approaches a number. There are 4 questions.
+
Worksheet
Curated OER

Finding the Limit of Composite functions

For Students 9th - 10th
In this pre-calculus learning exercise, 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.
+
Lesson Plan
Curated OER

Graphs of the Sine and Cosine Function

For Teachers Higher Ed
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. 
+
Lesson Plan
Curated OER

Graph of the Tangent, cotangent, Secant, and Cosecant Functions

For Teachers Higher Ed
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...
+
Worksheet
Curated OER

Mathematics B: High School Exam

For Students 11th - 12th
In this mathematics activity, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This activity contains, but is not limited to, radicals, inverse functions, transformations, and...
+
Worksheet
Curated OER

Mathematical Modeling

For Students 11th - 12th
In this Pre-Calculus worksheet, students investigate the process of formulating, solving, and interpreting mathematical models.  The ten page worksheet contains explanation and four solved examples to serve as a guide for the modeling...
+
Unknown Type
Math Notes and Math Tests

Pre Calculus Notes: Polynomial Functions of Higher Degree [Pdf]

For Students 9th - 10th
The resource discusses polynomial functions of higher degree. Topics examined are infinity, limits, the factor theorem, and the intermediate value theorem.