Teacher Resources for Instructional Planning


Precalculus Std 1: Perform the vector operations of addition, scalar multiplication, and absolute value. Determining coincidence, parallelism, collinearity, or perpendicularity of vectors Using vectors to model real-life and mathematical situations

Lesson Plans The Complex Plane This is an online tutorial with practice problems. It gives an explanation about the relationship between complex numbers, points in the complex plane, and vectors. Scalars and Vectors This is a short lesson on vectors and components with an application in physics. Analyzing Particle Motion This is a physics lesson on particle motion where vectors are broken into components. Simple Breakdown of Forces This is an online textbook that covers vectors. It applies components of vectors to physics. Vectors - Fundamentals and Operations This is a basic online site explaining components of vectors, complete with cartoon drawings. Vector Component Addition Example This is a complete lesson on component vector addition with a java applet. Complex Numbers This lesson tells how to convert between rectangular, trigonometric, and polar forms. A quiz is included. The Polar Form of a Complex Number This lesson provides a brief discussion of DeMoivre's Theorem. Roots of Complex Numbers This lesson gives a brief explanation of using DeMoivre's Theorem to find the roots of complex numbers. Examples and practice problems are provided. Vectors This tutorial gives a full description of vectors including all the properties and the angles between vectors. Applying Vector Solutions to Navigation This problem using navigation applications to investigate vector addition. Students are asked to gather weather data online. Vectors and Relative Velocity It is expected that students will demonstrate an ability to use vector analysis to solve problems in determining velocities, displacement, and time of travel of objects Properties of Vectors An Illuminations site with two lessons: Components of a Vector and Sums of Vectors and their Properties

Resources: Vector Graphing Calculator This calculator is intended primarily as an educational aid to understanding the geometric interpretation of mathematical functions. Short Course on Complex Numbers This is a good description of the absolute value of complex numbers. Edhelper.com This tool generates a worksheet of problems related to topics in complex numbers. John and Betty's Journey into Complex Numbers This is a children's book about complex numbers. Japanese Math Applets Visual representation of all vector operations. Car Storm Chaser This is a vector application that allows students to interact with vectors and see their effects on a car and a plane. Airplane Storm Chaser Using one, two or three vectors, students can explore vectors in different contexts. This dual vector situation uses a plane Vector Notes Everything you wanted to know about vectors and more. PowerPoint Lessons Complete PowerPoint lesson on vectors. Go to chapter 8 and download the zip file. How far is it? This website gives the distance as a crow flies between any two locations on earth as well as lat and long with heading to and from. Vector Operations This applet illustrates A +B, A - B, and AB. Interactive Cramer's Rule Why Cramer's rule works! It is explained using vectors. The Vector Cross Product On this site there is an applet that allows you to manipulate two vectors as well as rotate the plane in which they are included and you can watch the cross products change in relation to the plane. The links below cannot be accessed at school, but should be accessible from home.* Geometric and Trigonometric Representation of Complex Numbers This is an extensive lesson on the conversion of complex numbers to trigonometric form. Polar Coordinates and Complex Numbers Convert between polar and rectangular form of complex numbers. Java Applets on Mathematics Vector applet that lets students manipulate the vectors and choose the operation: addition, multiplication, etc. Polar and rectangular. Vectors in a plane This page contains a brief description of several topics related to vectors. Flash Vector Tutorial This is a vector tutorial developed by a software engineer.
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