Lesson Notes By Weeks and Term v4 - JHS 1

Lesson Video

This page supports the lesson note with a companion video and a short classroom-ready summary.

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Performance objectives

• Define what a vector is.
• Distinguish between scalar and vector quantities.
• Convert vectors from component form to column form.
• Convert vectors from column form to component form.

Lesson summary

This lesson introduces learners to the concept of vectors and how to represent them in a simple, powerful way called column form. We can think of vectors as instructions for a journey. For example, when giving directions to a friend to get to the nearest kenkey seller, you might say, "Walk 50 steps straight ahead, then turn right and walk 20 steps." This is a vector! In mathematics, engineering, and even computer games, we need a precise way to write down these "journey instructions." Column form helps us do that using numbers, making it easy to understand and calculate movement on a map or a screen. This skill is a foundation for understanding navigation, physics, and design.

Lesson notes

A. What is a Vector?

A vector is a mathematical object that has two key properties: Magnitude: This is its size or length. It tells us "how far." Direction: This is the way it is pointing. It tells us "where to."

We represent a vector with an arrow. The length of the arrow shows its magnitude, and the way the arrow points shows its direction. The starting point of the vector is called the tail, and the endpoint (with the arrowhead) is called the head.

For a vector from point A to point B, we can write it as AB (with an arrow on top in some textbooks) or simply in bold like a. B. The Cartesian Plane (A Quick Revision)