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Curated OER
Finding the Derivative
In this calculus worksheet, 11th graders solve functions and rational expressions using the 1st and 2nd derivatives. They calculate the rate of change of an area using the derivative. There are 4 questions.
Curated OER
Functions and Differentiation
In this calculus worksheet, students identify functions based on different Theorems as it relates to calculus and the Fundamental Theorem. There are 13 questions dealing with differentiation and trigonometric graphs.
Curated OER
Worksheet 15
In this math worksheet, students sketch and label on a number line the regions that converge and diverge with the sequences. Then they examine a smooth function and define its series.
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
EngageNY
Algebra II Module 2: End-of-Module Assessment
Will this be on the test? Learners demonstrate their understanding of trigonometric functions with an end-of-module assessment. They investigate two different real-world situations, one function in pure mathematics, and one...
EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 5)
This unit assessment covers the modeling process with linear, quadratic, exponential, and absolute value functions. The modeling is represented as verbal descriptions, tables, graphs, and algebraic expressions.
EngageNY
Choosing a Model
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
EngageNY
Analyzing a Verbal Description
What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear,...
EngageNY
Tides, Sound Waves, and Stock Markets
Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions.
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
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...
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 2)
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson plan that covers sequence notation and function notation. Graphs are used to represent the number patterns.
EngageNY
Newton’s Law of Cooling
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between...
EngageNY
Trigonometry and Complex Numbers
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the...
Whitman College
Calculus - Early Transcendentals
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
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
Computing Derivatives
In this computing derivatives worksheet, students determine the derivative, slope, and rate of change in a function. They indicate if a function is constant, increasing, or decreasing. This two-page worksheet contains approximately ten...
Curated OER
Derivatives of Elementary Functions
In this derivatives worksheet, students sketch the graphs of four functions. They write the derivatives of eight functions. Students complete two derivative tables.
Curated OER
Definition of the Derivative
Students find the derivatives of functions. For this finding the derivatives of functions lesson, students use the definition of derivative to take the derivative of a function. Students discuss scenarios in which the...
Curated OER
Elementary Derivatives and Rules of Differentiation
For this derivative worksheet, students use the definition of limits and derivatives to find formulas with given conditions. They find derivatives of given equations. This four-page worksheet contains approximately ten problems, with...
Curated OER
Integrating Special Functions
In this math activity, students practice reading the examples of integrating special functions. The examples have the formulas included.
Curated OER
The Definition Derivative
In this derivative learning exercise, students evaluate limits, factor equations, and calculate the given function. They determine the derivative of a function and plot it on a graph. This four-page learning exercise contains eight...
Curated OER
Math 155 - Worksheet 5. Derivative
In this derivative instructional activity, students find the derivative of given functions and find the equation of a tangent line to a curve. They differentiate functions and work velocity and acceleration functions. This two-page...