Lesson Notes By Weeks and Term v4 - SHS 1

SPATIAL SENSE

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  3. SHS 1
  4. SPATIAL SENSE

Subject: Additional Mathematics

Class: SHS 1

Term: 2nd Term

Week: 6

Grade code: 1.2.1.LI.2

Strand code: 2

Sub-strand code: 1

Content standard code: 1.2.1.CS.2

Indicator code: 1.2.1.LI.2

Theme: GEOMETRIC REASONING AND MEASUREMENT

Subtheme: SPATIAL SENSE

Lesson Video

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Performance objectives

Lesson summary

This lesson introduces the concept of vectors, which are essential tools in mathematics, physics, engineering, and even computer graphics. A vector is a quantity that has both magnitude (size) and direction. Think about giving directions in your town: saying "walk 500 metres" is not enough. You need to say "walk 500 metres *towards the market*." That instruction, with both distance and direction, is a vector. In this lesson, we will learn how to represent these quantities and perform basic operations with them, laying a foundation for understanding the physical world around us, from the path of an aeroplane flying from Accra to Tamale to the forces acting on a bridge.

Lesson notes

2.1 Scalars vs. Vectors

In mathematics and science, we deal with two types of quantities: Scalar: A quantity that has only magnitude (size). *Examples:* Your age (e.g., 15 years), the price of kenkey (e.g., GHS 5), the distance from Cape Coast to Elmina (13 km), the temperature outside (31°C). Vector: A quantity that has both magnitude and direction. *Examples:* Displacement (e.g., 13 km *east* from Cape Coast to Elmina), velocity (e.g., a car travelling at 80 km/h *northwards* on the Accra-Kumasi road), force (e.g., pushing a table with a force of 20 Newtons *forwards*). 2.2 Representing Vectors

We can represent vectors in two main ways:

a) Graphically: A vector is drawn as an arrow. The length of the arrow represents the magnitude. The arrowhead points in the direction.

Evaluation guide