West Contra Costa Unified School District
Particle Motion
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the velocity...
Curated OER
Average Value of a Function
Students investigate the average value of a function given different interval values. In this calculus lesson, students explore word problems and apply their knowledge of average value to find the answer. They apply previous knowledge to...
Curated OER
Lesson #20 Rates of Change and Velocity
Students investigate speed. In this rate of change lesson plan, students complete a rate/time/distance table to determine the average m.p.h. of a given trip. They listen and follow along with the lecture and examples to determine the...
Curated OER
Rational Functions
In this Algebra II/Pre-calculus worksheet, students solve and graph rational equations, identifying the intercepts and asymptotes. The six page worksheet contains nine problems. Answers are not provided.
Curated OER
Distance, Velocity, and Acceleration
Students engage in a lesson plan that is concerned with the measurement of distance, velocity, and acceleration with the use of derivatives. They follow examples given in the lesson plan to compute the velocity and acceleration for a...
Center for Innovation in Mathematics Teaching
Vectors
Investigate vectors and learn how to use them. Explore why size and direction, as well as knowing speed and distance, are important components of the vector problems you are trying to solve. This is an extensive lesson which includes six...
Alabama Learning Exchange
Jump! An Exploration into Parametric Equations
Explore parametric equations in this lesson, and learn how to determine how much time it takes for an object to fall compared with an object being launched. high scoolers will use parametric equations to follow the path of objects in...
Physics Classroom
Position-Time Graphs - Conceptual Analysis
Increasingly, colleges and employers want applicants with strong conceptual analysis skills, so give them some practice! Applying these skills to position-time graphs encourages synthesis of knowledge. To complete an installment of a...
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...
Project Maths
Introduction to Calculus
Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based instructional activity helps them keep it in check! The second instructional activity in a three-part series asks learners to analyze...
Radford University
How High Can You Throw?
Find heights by measuring time. Teams collect data to determine the height that a tennis ball is thrown. Classmates measure the height of the initial release of the ball and how long it stays aloft. Using a projectile motion equation,...
Curated OER
Particle Motion 2
Students analyze the motion of a particle along a straight line. In this precalculus lesson, students use the TI to analyze the position of a function as they graph and visualise the function. They calculate the distance and velosity of...
College Board
Frozen in Time
Take a closer look at increasing and decreasing behavior by zooming in on graphs. An AP® Calculus reference document examines how increasing/decreasing behavior should be considered in terms of intervals rather than points. The resource...
EngageNY
Interpreting the Graph of a Function
Groups sort through NASA data provided in a graphic to create a graph using uniform units and intervals. Individuals then make connections to the increasing, decreasing, and constant intervals of the graph and relate these connections...
Curated OER
Exploration 3: Introduction to Definite Integrals
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.
Curated OER
Integrated Algebra Practice: Square Roots
For this square roots worksheet, students calculate the square roots of whole numbers and rational numbers. Seven problems have multiple choice answers. The remaining 13 problems are short answer. One problem involves graphing a...
Curated OER
The Way Things Fall
Students explore concept of acceleration and motion under the influence of gravity, starting with free fall and ending with motions that start out with both horizontal and vertical initial velocities.
Curated OER
Exploration 4: Definite Integrals by Trapezoidal Rule
In this integral activity, students geometrically estimate distance in given problems. They use the trapezoidal rule to determine definite integrals. Students explore distance and velocity. This three-page activity contains...
Curated OER
Worksheet 15
In this math learning exercise, students predict the velocity of an object. They also examine the position of the object in relation to the time.
Curated OER
Motion on an Inclined Plane
In this physics worksheet, students model the acceleration, velocity, and position of a cart moving up an inclined plane. They take data and determine a pattern in the data. Students also describe their findings and create an illustration.
Curated OER
Worksheet 35
For this math worksheet, students write a problem having solution u(x, t) for each function u given. They include the lengths, physical constants, and initial conditions.
Curated OER
Applications of Derivatives: General Rules for Optimization
In this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.
Curated OER
Worksheet 15 - Differentiation
For this differentiation worksheet, students determine the seconds of motion, identify the constant, and speed of movement. This two-page worksheet contains five multi-step problems.
Curated OER
Vectors
High schoolers listen to a lecture and complete a number of problems as they go. There are a variety of examples given and they are guided through the problem solving steps for each of the real-world scenarios regarding the purpose of...