EngageNY
Analyzing a Data Set
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...
CK-12 Foundation
Cramer's Rule
Use matrices to solve systems of equations. The interactive introduces Cramer's Rule, using determinants of matrices to solve systems of equations. Color coding helps pupils place entries correctly from the system.
Curated OER
Worksheet 20 - Derivatives
In this derivative worksheet, students solve functions, sketch the direction of the rate of change, and describe functions using polar coordinates. This two-page worksheet contains seven multi-step problems.
Curated OER
The Limit Definition of a Definite Integral
In this calculus activity, students calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.
West Contra Costa Unified School District
Indefinite Integrals
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
EngageNY
Tax, Commissions, Fees, and Other Real-World Percent Problems
Pupils work several real-world problems that use percents in the 11th portion of a 20-part series. The problems contain percents involved with taxes, commissions, discounts, tips, fees, and interest. Scholars use the equations formed for...
EngageNY
Bean Counting
Why do I have to do bean counting if I'm not going to become an accountant? The 24th installment of a 35-part module has the class conducting experiments using beans to collect data. Learners use exponential functions to model this...
EngageNY
Matrix Notation Encompasses New Transformations!
Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different...
Curated OER
Weighing and Determining the Average Density of the Earth
Some background information about density and Newton's Laws of gravitation and motion assist pupils in the following experiment. The procedure will help them further their understanding of gravity, pendulums, and a drop-ball experiment....
CK-12 Foundation
Angular Velocity: 200 Meter Dash
Do curves slow runners down or help their speed? Pupils simulate a 200-meter dash to calculate the angular and linear velocity of a runner. They then determine whether the runner is faster around the curved section of the track...
Curated OER
Calculus Games
In this calculus worksheet, students rewrite a word problem using algebraic symbols and calculate the derivative of a function to find the correct solution. There are 20 matching questions with an answer key.
Illustrative Mathematics
Building a General Quadratic Function
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Curated OER
Building a General Quadratic Function
Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.
Curated OER
Derivative Formulas
For this calculus worksheet, students solve functions using the derivative formulas. There are 26 formulas for them to review and go over.
Curated OER
Multivariable Calculus: Application of Partial Derivatives
In this partial derivatives activity, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page activity contains explanations, examples,...
EngageNY
Getting the Job Done—Speed, Work, and Measurement Units II
How fast is your class? Learners determine the amount of time it takes individuals to walk a given distance and calculate their speeds. Pupils solve distance, rate, and time problems using the formula and pay attention to the...
EngageNY
Tables of Equivalent Ratios
Don't table the discussion on equivalent ratios — do it now! Scholars create tables of equivalent ratios to represent contextual problems. Pupils go on to use the tables to answer questions within the context. The lesson is ninth in a...
Virginia Department of Education
States and Forms of Energy
Energy is just energy, right? Explain various forms of energy to your young scientists by using an interactive experiment that contains common objects to demonstrate complex concepts. Pupils conduct experiments for radiant, thermal,...
Curated OER
A.P. Calculus - First Semester Examination
In this calculus exam worksheet, students solve 40 multiple choice and short answer problems. Students find derivatives, second derivatives, normal lines, slopes, etc.
Curated OER
Elementary Derivatives and Rules of Differentiation
In this derivative learning exercise, students use the definition of limits and derivatives to find formulas with given conditions. They find derivatives of given equations. This four-page learning exercise contains approximately ten...
Curated OER
A.P. Calculus - First Semester Esxamination
In this calculus exam learning exercise, students solve 40 multiple choice and short answer questions. Students find normal lines, derivatives of functions, evaluate functions at points, etc.
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...
Curated OER
Derivatives of Exponential Functions
Students take derivatives of exponential functions. In this taking derivatives of exponential functions lesson, students prove the derivative of an exponential function is the exponential function. Students find derivatives...
Curated OER
Worksheet 8: Functions and Falling Bodies
In this math worksheet, students answer 6 questions having to do with continuous and differentiable functions, falling bodies, and derivatives.