Lesson Notes By Weeks and Term v4 - SHS 2
MEASUREMENT
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MEASUREMENT
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Subject: Mathematics
Class: SHS 2
Term: 2nd Term
Week: 5
Grade code: 2.3.2.LI.2
Strand code: 3
Sub-strand code: 2
Content standard code: 2.3.2.CS.1
Indicator code: 2.3.2.LI.2
Theme: GEOMETRY AROUND US
Subtheme: MEASUREMENT
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This lesson focuses on the fundamental "rules" or properties that govern how we add and subtract vectors. Vectors are essential tools used to describe quantities that have both magnitude (size) and direction. Think about the path a tro-tro takes from Madina to Circle, the force of the wind on a fishing boat off the coast of Axim, or the velocity of a football kicked by a Black Stars player. These are all vectors. Understanding their properties is crucial for solving real-world problems in physics, engineering, navigation, and even computer graphics. By investigating these properties, we build a solid foundation for more advanced work with vectors.
Recap: What is a Vector?
A vector is a mathematical object with both magnitude (length or size) and direction. We can represent a vector in two main ways: Geometrically: As an arrow. The length of the arrow is its magnitude, and the way it points is its direction. Algebraically: As a column vector. For a 2D vector, this is written as `a = (x, y)`, where `x` is the horizontal component and `y` is the vertical component.
Vector Addition: To add two vectors `a = (x₁, y₁)` and `b = (x₂, y₂)`, we add their corresponding components: `a + b = (x₁ + x₂, y₁ + y₂)`
Vector Subtraction: To subtract vector `b` from vector `a`, we subtract their corresponding components: `a - b = (x₁ - x₂, y₁ - y₂)`