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: 7
Grade code: 2.3.2.LI.3
Strand code: 3
Sub-strand code: 2
Content standard code: 2.3.2.CS.1
Indicator code: 2.3.2.LI.3
Theme: GEOMETRY AROUND US
Subtheme: MEASUREMENT
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This lesson introduces the fundamental operations of vectors and their application in solving real-world problems. Vectors are essential tools in fields like physics, engineering, aviation, and even everyday navigation. In Ghana, we use vector concepts intuitively when giving directions ("Walk 50 metres towards the market, then turn right and walk 20 metres"), understanding the movement of a tro-tro from one station to another, or calculating the path a fisherman takes on the Volta Lake. This lesson will equip learners with the mathematical skills to describe and analyse these movements precisely.
A. Scalars vs. Vectors Scalar: A quantity that has only magnitude (size or amount). Examples: Distance (10 km), Speed (80 km/h), Mass (5 kg), Temperature (32°C). Vector: A quantity that has both magnitude and direction. Examples: Displacement (10 km due East), Velocity (80 km/h North), Force (50 Newtons downwards).
We can represent a vector graphically as an arrow. The length of the arrow shows the magnitude, and the arrowhead points in the direction. B. Representing Vectors: Column Vectors
While drawing is useful, it's more accurate to use numbers. We use column vectors to represent movement on a Cartesian plane (x-y plane).
A vector `a` can be written as: `a = (x y)`