Lesson Plan
Curated OER

Worksheet 28: Parametric Equations

For Teachers 12th - Higher Ed
In this parametric equations worksheet, students read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.
Lesson Plan
EngageNY

Linear Transformations of Lines

For Teachers 11th - 12th Standards
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.
Lesson Plan
EngageNY

Motion Along a Line – Search Robots Again

For Students 9th - 12th Standards
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...
Lesson Plan
Curated OER

Introduction to Parametric Equations

For Teachers 9th - 10th
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.
Worksheet
Curated OER

Parametric Equations

For Students 12th - Higher Ed
In this parametric equation worksheet, students explore parametric equations and their graphs. They describe the motion of a particle. This four-page worksheet contains approximately seventeen problems.
PPT
Curated OER

Calculus 10.1 - Parametric Functions

For Teachers 11th - 12th
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...
Lesson Plan
Curated OER

Parametric Projectile Motion

For Teachers 9th - 12th Standards
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.
Unit Plan
College Board

Vectors: A Curriculum Module for AP® Calculus BC

For Students 10th - 12th
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...
Worksheet
Curated OER

Space Shuttle Launch Trajectory-I

For Students 9th - 11th
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...
Lesson Plan
EngageNY

Designing Your Own Game

For Teachers 11th - 12th Standards
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...
Lesson Plan
Curated OER

Parametric Races & Slopes

For Teachers 9th - 12th Standards
Learners investigate the slopes and parametric equations. In this calculus lesson, students solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.
Lesson Plan
Curated OER

Parametric, Vector, Polar, and 3D Functions

For Teachers 12th
Twelfth graders investigate the capabilities of the TI-89.  In this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories.  Students investigate the symbolic...
Lesson Plan
Curated OER

Ferris Wheel Problem

For Teachers 7th - 10th
Learners 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.
Worksheet
Curated OER

Worksheet 12

For Students 11th - Higher Ed
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.
Activity
Curated OER

As the Wheel Turns

For Teachers 10th - 12th Standards
This is not your typical Ferris wheel problem. In 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 edge...
Lesson Plan
Curated OER

Cannonball

For Teachers 8th - 10th
Learners calculate the speed, motion and distance of a projectile. In this geometry lesson, students obtain measurements while calculating velocity. They graph their results and make predictions.
Lesson Plan
Curated OER

Connections Involving Linear And Quadratic Functions

For Teachers 9th - Higher Ed
In this math worksheet, students determine the range of the function. Then they graph the functions while finding the coordinates on the plane.
Worksheet
Curated OER

Exploring the Ares 1X Launch-Parameters

For Students 10th - 12th
For 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.
Worksheet
Curated OER

Worksheet 30

For Students 11th - Higher Ed
In this math learning exercise, 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.
Worksheet
Curated OER

Worksheet 21 Spring 1996

For Students 11th - Higher Ed
In this math worksheet, learners 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.
Activity
Texas Instruments

Texas Instruments: Vectors and Projectile Motion on the Ti 89

For Teachers 9th - 10th Standards
Students will study various properties of projectile motion by showing how the calculator manipulates three dimensional vectors, deriving the standard equations of motion for projectile motion, and applying these equations to 1st and 2nd...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Parametric Equations and Projectile Motion

For Students 9th - 10th
Six problems offer practice working with parametric equations and projectile motion. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution"...
Activity
Texas Instruments

Texas Instruments: Motion of Related Objects

For Teachers 9th - 10th
This activity introduces the concept of related rates with parametric equations using a projectile motion problem.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs Season 2 "Convergence" Where Is the Bullet?

For Teachers 9th - 10th
Charlie uses parametric equations of projectile motion to figure out where to look for a fired bullet in the "Convergence" episode of the show NUMB3RS. The lesson plan includes a student page complete with keystroke instructions for the...