Curated OER
Modeling Natural Disaster with Mathematical Functions
Ninth graders investigate the functional relationship of different environmental phenomena. In this math lesson, 9th graders create models of various natural disasters. They use logarithmic and exponential functions to interpret...
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.
Curated OER
Functions Defined by Integrals
In this calculus worksheet, students solve functions by taking the derivative of the function. There are 3 questions with and answer key.
Curated OER
Maximum and Minimum of Functions
For this calculus worksheet, learners are given functions and values to derive using the functions. They are asked to find the maximum, minimum and point of inflection. There are 28 questions.
Curated OER
Proof That One Equals Zero (Using Calculus)
In this proofs activity, students evaluate the integral of 1 function. Students use uv-substitution to prove 0=1.
Curated OER
Slope Fields
For this slope field worksheet, pupils match the slope field to its correct differential equation. This one-page worksheet contains six problems.
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 where the...
Curated OER
Graph Of The Derivative
Students engage in a lesson that is concerned with defining and drawing the graph of a derivative. The lesson includes a definition and examples to lead them away from any misconceptions. They graph derivatives using examples that are...
Curated OER
Trig Derivatives
In this trigonometric derivative worksheet, students analyze the function and identify the derivative. This one-page worksheet contains approximately 20 problems.
Curated OER
Derivatives Of The 6 Inverse Trig Functions
Students investigate the derivatives of the Six Inverse Trigonometric Functions. They apply the six formulas to inverse function problems that are given in the activity. Students can take part in using the example problems for...
Curated OER
Reflections of a Linear Function
Students identify and reflect functions about the X-axis, Y-axis, and origin. They derive equations for reflected functions and graph the linear functions. Finally, students identify that f(x) can be reflected about each axis and the...
Curated OER
Definition Of The Derivative
Students engage in a lesson that is concerned with the concept of a derivative. They define the concept of a derivative and then complete an assignment that is included in the lesson. Students then graph the derivative and draw its...
Curated OER
Worksheet #3, Derivative Rates, Percent Rate of Change, Chain Rule
In this calculus learning exercise, students answer compute the distance of an object from a given point after t seconds when given the formula. They use the chain rule to answer 2 questions. Students compute the derivatives and sketch a...
Curated OER
Review For Test On Chapter 5
Students engage in a study of various concepts in relation to preparing for a calculus exam. They sketch and discuss and sketch a variety of functions. The lesson plan includes an outline of review that should be used by the teacher...
Curated OER
Applications of Derivatives: Optimization
In this optimization instructional activity, students write a short essay listing the criterion for global minimum. They write directions for finding the global minimum on a closed or open interval.
Curated OER
Derivatives and Maximum or Minimum
In this calculus worksheet, students calculate the maximum, minimum, and determine if the graph is concave up or down. There are 2 questions.
Flipped Math
Calculus AB/BC - Unit 2 Review: Differentiation
Tie up everything in one differentiable bow. Pupils work through 20 problems to review the concepts from the unit. The problems range from finding the average rate of change to finding the derivatives of various functions that require...
Houston Area Calculus Teachers
Cubic Polynomial
Birthdays are a time for celebration, and now they're a time for calculation! An AP calculus lesson uniquely explores relationships between a polynomial function and its derivative. Learners create a cubic function based on their...
Flipped Math
Calculus AB/BC Unit 3 Review: Differentiation
It's time to take stock of the class's knowledge of derivatives. Individuals review how to take the derivatives of composite, implicit, and inverse functions. They complete some problems involving the Chain Rule, implicit...
CK-12 Foundation
Antiderivative: Piecing it Together
Build a function backwards. Given a graph of the derivative of a function, pupils piece together a graph of the original function, the antiderivative. Learners use their graphs and the graphs of the derivatives to answer questions about...
EngageNY
Why Stay with Whole Numbers?
Domain can be a tricky topic, especially when you relate it to context, but here is a lesson that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin and...
EngageNY
Discrete Random Variables
You don't need to be discreet about using the resource on discrete variables. In the fifth installment of a 21-part module, scholars explore random variables and learn to distinguish between discrete and continuous random variables. They...
EngageNY
Relationships Between Two Numerical Variables
Working in small groups and in pairs, classmates build an understanding of what types of relationships can be used to model individual scatter plots. The nonlinear scatter plots in this lesson on relationships between two numerical...
College Board
2003 AP® Calculus AB Free-Response Questions
Take a free look. Released free-response questions from the 2003 AP® Calculus AB exam show how questions cover different topics. Pupils and teachers review the topics of bounded regions, particle movement, rates, relationships between...