About This Chapter
Below is a sample breakdown of the Vectors chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.
|Day||Topics||Key Terms and Concepts Covered|
|Monday||Vector basics||Definition and types of vectors, velocity vectors, force sectors|
|Tuesday||Mathematical processes with vectors: Part I||Vector resultants, vector addition, scalar multiplication, and related formulas|
|Wednesday||Mathematical processes with vectors: Part II||Standard basis vectors, vector subtraction, and performing vector operations with components|
|Thursday||Components||The direction of a vector, the magnitude of a vector, and the component form of vectors|
|Friday||Resolution||Splitting vectors into multiple vectors to calculate vector resolution|
1. What Is a Vector? - Definition & Types
After watching this lesson, you will be able to explain what vectors are in physics, give some examples of vectors and have a basic idea of how they can be manipulated mathematically. A short quiz will follow.
2. Vector Addition (Geometric Approach): Explanation & Examples
After watching this video, you will be able to explain why we might need to add two vectors and, given magnitudes and directions, add two vectors using geometric methods. A short quiz will follow.
3. Resultants of Vectors: Definition & Calculation
After watching this video, you will be able to explain what a resultant of a vector is and use mathematics to calculate the resultant of two vectors. A short quiz will follow.
4. Scalar Multiplication of Vectors: Definition & Calculations
After watching this video, you will be able to explain what scalar multiplication is and complete basic calculations involving the scalar multiplication of vectors. A short quiz will follow.
5. Vector Subtraction (Geometric): Formula & Examples
After watching this lesson, you will be able to subtract vectors geometrically and give examples of how that process might be used in physics. A short quiz will follow.
6. Standard Basis Vectors: Definition & Examples
After watching this lesson, you will be able to explain what standard basis vectors (otherwise known as unit vectors) are and how they are useful. A short quiz will follow.
7. How to Do Vector Operations Using Components
After watching this lesson, you will understand how we analyze physics involving two-dimensional vectors and be able to split a vector at an angle into a vertical and horizontal component. A short quiz will follow.
8. Vector Components: The Magnitude of a Vector
After watching this lesson, you will be able to explain what the magnitude of a vector refers to, and how to calculate it when given the components of a vector. A short quiz will follow.
9. Vector Components: The Direction of a Vector
After watching this lesson, you will be able to explain what is meant by the direction of a vector and calculate the direction of a vector when given the x and y components. A short quiz will follow.
10. Vector Resolution: Definition & Practice Problems
After watching this lesson, you will be able to explain what vector resolution is and solve problems involving vector resolution. A short quiz will follow.
11. Vector Quantity in Physics: Definition & Examples
A vector refers to any quantity that needs a magnitude and a direction in order to fully describe the quantity. In this lesson you will learn about the properties of vectors (magnitude and direction) and how to determine what quantities are vectors and what are not vectors.
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