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...
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.
Fight against the current. Pupils explore the resulting path when they are crossing a river while being pushed downstream by the current. Using vector notation, learners express the speed and direction of a ferry. They finish by...
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.
Center for Innovation in Mathematics Teaching
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...
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.
Looking for a lesson on vectors? Here is a PowerPoint that has six examples for finding velocity, acceleration, speed and direction of motion. One of the examples demonstrates the use of the TI-89 Graphing Calculator to solve a problem.
Three levels of practice assure scholar mastery of vector addition. After inputting an incorrect answer, another problem replaces it so everyone finds success. The lesson works as one part of a series on vectors and projectiles.
A hands-on lesson using the TI-CBR Motion Detector to provide information to graph and analyze. The class uses this information to calculate the slope of motion graphs and differentiate scalar and vector quantities. There is a real-world...
Two words summarize the interactive: vector projector. An easy-to-use resource lets users investigate vector projections on the coordinate plane. Given the components of two vectors, they determine the projection of one vector onto the...
Investigate the components of vectors and vector addition through geometric representations. Pupils learn the parallelogram rule for adding vectors and demonstrate their understanding graphically. They utilize the correct notation and...
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...
Here is a math lab that helps young mathematicians understand the real-life meaning for vector addition. By building a model using spring scales and washers as weight, and then calculating the vector addition using two different methods,...
Translate vectors to find equivalent ones. An interactive shows 10 randomly displayed vectors. Pupils grab the vectors and move them to group them with similar vectors in magnitude and direction. Scholars find the groups of vectors that...
Move vectors to determine their difference. Pupils use an interactive to visualize the opposite of a vector. They use the concept of adding vectors to subtract vectors by adding the opposite and, finally, view the differences of the...
View vector addition with a greater magnitude. The interactive provides learners with the opportunity to determine the magnitude of vectors and their resultant vectors when added. Pupils investigate the relationship between the...
Find out if vectors are equal in the classroom. Pupils use the interactive to create vectors showing the movements boys perform in rearranging classroom furniture. The scholars determine which boy moved furniture the farthest, or if they...
Make connections between vectors and matrices through multiplication. Scholars use the interactive to view the effect of multiplying a matrix by a scalar. The interactive displays the resulting matrix and its corresponding column vectors...
Find the right number of vectors to get to the finish line. Using a boat race scenario, pupils add multiples of the same vector together. The scholars use scalar multiplication to speed up the boats in an exciting race to the finish.
Model vector addition graphically. A simple interactive has users add vectors and adjust the lengths and angles of the vectors. The interactive automatically updates the magnitude, angle, and components of the sum.
Scholars practice vector direction notation in multiple formats. After mastering each individually, they work to convert from one to another as one part in a series of lessons on vectors and projectiles.
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...
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...
Vectors and their connection to motion. A video will be presented to provide information for the class to use methods of solving vectors with and without grids. Real-world physical concepts will be explored in reference to vectors.
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