Interactive
CK-12 Foundation

Infinite Limit Type: Asymptotes and End Behavior Question

For Students 11th - Higher Ed Standards
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...
Worksheet
Curated OER

Exploration 3: Introduction to Definite Integrals

For Students 11th - 12th
For this integral worksheet, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page worksheet contains approximately 40 problems.
Lesson Plan
Curated OER

Piecewise Linear Integral

For Teachers 9th - 12th Standards
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
Lesson Plan
Curated OER

Introduction to Limits

For Teachers 9th - 12th
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...
Unit Plan
2
2
Mathematics Vision Project

Quadratic Equations

For Teachers 10th - 12th Standards
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Activity
1
1
Curated OER

Mathemafish Population

For Teachers 8th - 11th Standards
It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...
Activity
Houston Area Calculus Teachers

Collecting Driving Data

For Students 11th - Higher Ed
Give AP Calculus classes the opportunity to check the accuracy of their calculations! A calculus activity involves the collection of data, the application of mathematics, and the analysis of the accuracy of results. Young mathematicians...
Lesson Plan
Curated OER

Exponential Functions -- M&M Activity

For Teachers 11th - 12th
Students receive cups and M & M candies. They perform an experiment to compare the graph of theoretical and experimental exponential growth. Students spill a pair of candies onto the table. They add candies for each "M" they see....
Worksheet
Curated OER

Worksheet #6, Exponents, Interest, and Radioactive Decay of Isotopes

For Students 11th - 12th
In this calculus worksheet, students sketch graphs of given exponential functions. They compute the principal needed to have a given ending balance when the interest is compounded at varying times. Students use a simple exponential model...
Lesson Plan
Curated OER

Derivative Grapher

For Teachers 9th - 12th Standards
Learners graph the derivative of functions in this calculus lesson. They use the TI to graph their functions and algebraically take the derivative of each function. They then create a visual and analyze the graph.
Lesson Plan
Curated OER

Epsilon-Delta Window Challenge

For Teachers 9th - 12th Standards
Students graph functions and analyze them. In this calculus lesson plan, students define limit formally using Epsilon-Delta. They use the TI to graph the function and analyze it.
Lesson Plan
Curated OER

Derivative Analysis

For Teachers 9th - 12th Standards
Students analyze the derivative of a graph. In this calculus lesson plan, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.
Lesson Plan
Curated OER

Seeing is Believing: Derivatives

For Teachers 9th - Higher Ed Standards
Learn to solve functions by taking the derivatives. In this calculus lesson, students compare the graph of a derivative to that of the original function.
Lesson Plan
Curated OER

Basic Limits

For Teachers 9th - 12th Standards
Learners calculate the limits of functions. In this calculus lesson plan, students find the left and right handed limits of different functions. They use the Ti Navigator to drag the function around as they study limits.
Lesson Plan
Curated OER

Parametric, Vector, Polar, and 3D Functions

For Teachers 12th
Twelfth graders investigate the capabilities of the TI-89.  In this calculus lesson plan, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories.  Students investigate the...
Worksheet
Curated OER

Worksheet 31 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students read the definition of continuity found in Calculus. Then they graph the functions while defining the points of continuity.
Lesson Plan
Curated OER

Vertical and Horizontal Translations

For Teachers 11th - 12th
Students analyze function graphs.  For this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the...
Worksheet
Curated OER

Worksheet 28 - Spring 1996

For Students 11th - Higher Ed
In this math activity, students examine the graph in polar coordinates of r = f(θ). Then they sketch a graph of the modified functions indicated.
Lesson Plan
Curated OER

Population: Logistically Speaking

For Teachers Higher Ed
In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...
Lesson Plan
1
1
Curated OER

Dog Pen Problem

For Teachers 9th - 12th Standards
Teach your class about various approaches to solving the problem of maximizing the area of a rectangle space with a fixed perimeter in the context of a farmer's dog pen. Then, they complete a worksheet independently to summarize the...
Lesson Plan
Curated OER

Exponential Functions and the Natural Logarithm

For Teachers 8th - 12th Standards
Students solve exponential and log functions. In this algebra instructional activity, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs. 
Lesson Plan
Curated OER

Critical Points

For Teachers 9th - 12th Standards
High schoolers identify critical points on a graph. In this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.
Lesson Plan
Curated OER

Local Linearity

For Teachers 8th - 11th Standards
In order to investigate local linearity, students graph the function on the TI-calculator and zoom to observe the change in slope on the line. They incorporate technology to visualize these problems.
Lesson Plan
Curated OER

Optimization

For Teachers 9th - 12th Standards
Learners identify the critical points to a function. In this calculus lesson plan, students perform optimization of functions. They use the TI to create a visual of the graph.