Curated OER
Worksheet 28: Parametric Equations
In this parametric equations worksheet, students read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.
EngageNY
Motion Along a Line – Search Robots Again
We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...
EngageNY
Linear Transformations of Lines
Discover the extension of parametric equations to model linear transformations. Scholars first write parametric equations to model lines through two points. They then find the parametric equations that represent a linear transformation.
NASA
Simulating Weightlessness
Floating across the top. Class groups examine the parabolas, written as parametric equations, that model the flight path of NASA's C-9 as it simulates weightlessness. They continue their exploration by changing the parameters to...
Curated OER
Introduction to Parametric Equations
Students write and solve parametric equations. In this algebra lesson, students find and eliminate parameter of equations. They graph parametric equations and analyze the graphs.
Curated OER
Parametric Equations
In this parametric equation worksheet, learners explore parametric equations and their graphs. They describe the motion of a particle. This four-page worksheet contains approximately seventeen problems.
Curated OER
Calculus 10.1 - Parametric Functions
Here is a high-level, interractive presentation on calculus for your high schoolers. Parametric equations, derivatives, functions, and the Pythagorean Theorem are all part of this fine PowerPoint. Additionally, two interesting...
Curated OER
Parametric Projectile Motion
Learners relate projectile motion to parametric equations as they identify the velocity and angle of a projectile. They create a picture on the navigator to visualize the word problem.
College Board
Vectors: A Curriculum Module for AP® Calculus BC
It is all in a matter of time. The model curriculum module uses parametric equations and vectors to solve problems dealing with particle motion along a curve. At the beginning of the lesson, the unit reviews parametric equations and...
Curated OER
Space Shuttle Launch Trajectory-I
In this space shuttle launch worksheet, students are given 2 equations used to determine the space shuttle's trajectory in the first 5 minutes of a launch. Students use these equations to solve 3 problems including finding the shuttle's...
Curated OER
Parametric Races & Slopes
Learners investigate the slopes and parametric equations. In this calculus lesson plan, students solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.
Curated OER
Parametric, Vector, Polar, and 3D Functions
Twelfth graders investigate the capabilities of the TI-89. For this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic and...
Curated OER
Ferris Wheel Problem
Pupils use two pairs of parametric equations to describe two objects in motion. They determine when two objects are the closest. They simulate the behavior of the two objects and interpret the behavior of the objects in motion.
Curated OER
Worksheet 12
In this math worksheet, students explain the vector parametric equation for a line, scalar parametric equations, symmetric equations, and the implicit equation for a line.
Curated OER
As the Wheel Turns
This is not your typical Ferris wheel problem. For this exercise, your class will combine their knowledge of sinusoidal functions as well as linear motion to come up with parametric equations that model the position of a point on the...
Curated OER
Cannonball
Students calculate the speed, motion and distance of a projectile. In this geometry instructional activity, students obtain measurements while calculating velocity. They graph their results and make predictions.
EngageNY
Designing Your Own Game
Your classes become video game designers for a day! They utilize their matrices, vectors, and transformation skills to create and design their own game images. The complex task requires learners to apply multiple concepts to create their...
Curated OER
Exploring the Ares 1X Launch-Parameters
In this rocket launch worksheet, students solve 3 problems about the Ares 1X rocket and its launch, trajectory, and motion in both the vertical and horizontal direction.
Curated OER
Worksheet 30
For this math worksheet, students imagine a situation where a weight is attached to a string and it is swung in a circle. Then they use vectors and derivatives to describe the motion.
Curated OER
Connections Involving Linear And Quadratic Functions
In this math worksheet, students determine the range of the function. Then they graph the functions while finding the coordinates on the plane.
Curated OER
Worksheet 21 Spring 1996
In this math activity, students consider a path around the unit circle parameterized by σ on the interval [0, 1] with σ(t) = sin(5πt − π), cos(5πt − π). Then they find the vector.