Curated OER
Differentiability and Linear Approximation
In this linear approximation activity, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page activity contains four problems.
Curated OER
Learning the Anti-differentiation Process
In this math learning exercise, students examine the data table and attempt to fill in the empty boxes for the functions. They are asked to list the pattern found there.
Curated OER
Limits, Continuity and Differentiability
In this limit worksheet, students answer true or false statements concerning functions, limits and differentiability. They evaluate limits and explore rules for working with limits and continuity. This worksheet contains three...
Curated OER
Graphs of Functions
In this function instructional activity, students sketch graphs of functions, write functions as a composition of two or three functions, and differentiate functions. This three-page instructional activity contains approximately 33...
Curated OER
Exploring Exponential Growth and Decay Functions
Students differentiate between exponential growth and decay. In this algebra instructional activity, students solve exponential equations using properties of exponents. They use the Ti calculator to graph and analyze their functions.
Curated OER
Discussion Sheet 3: Function
In this function activity, students compute functions, classify critical points and determine the absolute extrema for an indicated region. This one-page activity contains approximately nine multi-step problems.
Curated OER
Zeros of a Cubic
Mathematicians explore cubic functions by learning how to investigate the relationship between the x-coordinates of the three zeros of a cubic function. The lesson plan also contains an application of differentiation.
CK-12 Foundation
Logarithmic Differentiation: Graphing the Derivative of a Logarithm
Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...
Curated OER
Slope, Vectors, and Wind Pressure
A hands-on lesson using the TI-CBR Motion Detector to provide information to graph and analyze. The class uses this information to calculate the slope of motion graphs and differentiate scalar and vector quantities. There is a real-world...
EduGAINs
Form and Function
Will that structure survive the force? The differentiated lesson allows pairs to choose the structure they would like to construct and the building materials they wish to use. Individuals record their findings in the observation chart...
Curated OER
Applications of Derivatives: Finding Maxima and Minima
In this calculus instructional activity, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.
Curated OER
Differentiation of Functions
In this differentiation worksheet, students use differentiation rules to solve given functions. This four-page worksheet contains 8 problems.
Curated OER
Indefinite Integral
In this indefinite integral worksheet, students find the indefinite integral and differentiate functions. This one-page worksheet contains ten problems.
Curated OER
Functions in Motion
Students graph polynomials functions and analyze the end behavior. In this algebra lesson, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing.
Curated OER
Differentiating Special Functions
In this differentiating special functions activity, students solve and complete 5 various types of problems. First, they differentiate each of the given functions. Then, students complete the table using a calculator and plot the points...
Texas Instruments
Continuity and Differentiability 1
Pupils examine graphs for continuity and differentiability in this calculus lesson. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation on the TI...
Curated OER
Calculating Arc Lengths of Simple Functions-I
In this calculating arc lengths worksheet, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
Curated OER
Exploring Power Functions 1
Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.
Curated OER
Periodic Functions
In this calculus learning exercise, students identify important rules and properties of the unit circle. They differentiate between polar and complex coordinates. There are 20 questions about the unit circle.
Curated OER
Math 155: Worksheet 9 - Inverse Function
In this inverse function activity, students find the derivative of functions, identify the inverse function and compute limits of the function. This two-page activity contains 15 problems.
Curated OER
Differentiation and Limits
In this differentiation worksheet, students differentiate functions, determine the dimensions of areas between graphs, and evaluate limits. This four-page worksheet contains approximately 55 problems.
Curated OER
Worksheet 35
In this math worksheet, students analyze two vector fields. They tell which of the vector fields is the scaler field for the given function. Students draw solution curves to match the differential equations represented in the illustrations.
Balanced Assessment
A Sharper Image
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 explain the...
02 x 02 Worksheets
Inverse Variation
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...