National Research Center for Career and Technical Education
STEM: Lou-Vee Air Car
A comprehensive lesson on acceleration awaits your physicists and engineers! Two YouTube videos pique their interest, then sample F=ma problems are worked and graphed. The highlight of the lesson is the building of a Lou-Vee air car!...
Curated OER
Dynamic Algebra
Explore 5 classical problems of algebra. They will solve problems involving Heron's formula, fractional equations, vector equations, apollonius' sphere, and transversals. The idea is to lead to new perceptions and visual thinking.
NASA
On Target
Crash into engineering by sending a marble to land on a target by way of a zip line. Using a zip line, pupils put engineering design processes into practice by modifying a cup to carry and release a marble onto a target. Scientists test,...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
CK-12 Foundation
Unit Vectors and Components: Bow and Arrow
Aim for a better understanding of vector components. Scholars adjust the angle of release on a bow and determine the horizontal and vertical components of the velocity vector. The pupils finish by determining how the angle affects...
EngageNY
End-of-Module Assessment Task: Pre-Calculus Module 2
Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...
EngageNY
Why Are Vectors Useful? 2
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
EngageNY
Why Are Vectors Useful? 1
How do vectors help make problem solving more efficient? Math scholars use vectors to represent different phenomenon and calculate resultant vectors to answer questions. Problems vary from modeling airplane motion to the path of a robot.
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.
EngageNY
Vectors and Stone Bridges
What does it take to build a stable arch? Pupils apply vectors and physics as they examine arched bridges and their structural integrity. They use vectors to represent the forces acting on the stone sections and make conclusions based on...
EngageNY
Vectors and Translation Maps
Discover the connection between vectors and translations. Through the lesson, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then progress to the...
EngageNY
Vectors in the Coordinate Plane
Examine the meaning and purpose of vectors. Use the lesson to teach your classes how find the magnitude of a vector and what it represents graphically. Your pupils will also combine vectors to find a resultant vector and interpret its...
Teach Engineering
May the Magnetic Force Be with You
Class members use mathematics in order to better understand magnetic forces and their interaction on charged particles. After a demonstration of the interaction between a magnet and an electron beam using a CRT computer monitor, learners...
NASA
On Target
NASA's LCROSS mission is dropping a probe into a lunar crater. Groups design a system to travel down a zip line and drop a marble onto a target in the classroom. The groups then modify their designs based upon testing.
Curated OER
The AP Calculus Problem Book
Are you always looking for extra problem resources to incorporate in your classes? A set of problems for a full AP Calculus course may be all you need! Each unit has a full set of questions and a sample test.
Curated OER
NUMB3RS Activity: Where’s the Source? Episode: “Undercurrents”
Several real-world problems are posed as a way to learn about vector fields in order to make some predictions after analyzing the data. The main problem comes from the tv show NUMB3RS and is based on solving a crime where a body has...
Curated OER
Visualizing Vectors
Investigate vectors in standard positions and use the CellSheet application on the TI calculator to find the sum of two vectors. Convert from polar to rectangular coordinates and vice versa, and show graphs of the vectors.
NTTI
Vectors: Traveling, But in What Direction
High schoolers watch a video of real-world situations regarding speed, direction, velocity, force, etc. and answer questions while viewing. They then practice drawing and using vectors to solve more real-world problems.
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...
Curated OER
NUMB3RS Activity: Fresh Air and Parabolas
Explore parabolas and investigate linear and quadratic functions to solve problems symbolically and graphically. Also use parametric functions to display trajectories on a graphing calculator.
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...
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.
Curated OER
Reference Angles
Learn how to measure the reference angles in degrees and radians. Students find reference angles that are coterminal with a given angle.
Texas Instruments
NUMB3RS Activity: Narrowing the Search
Students explore the length of an n-dimensional vector. In this Algebra II/Pre-calculus lesson, students investigate an expansion of the Pythagorean Theorem to n-dimensional space.