Vectors - Resolution of Vectors

Grade 11 · Physics

Semester 1 | Period 1 | Week 2

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Subject: Physics

Semester: 1

Period: 1

Week: 2

School Name:

Teacher’s Name:

Subject: Physics

Grade Level: Grade 11

Week & Period: Week 2, Period I

Date:

Sub-topic: Vectors – Resolution of Vectors

Learning Objectives

By the end of this lesson, learners should be able to:

  1. Define vector resolution and explain its importance.
  2. Resolve a vector into two perpendicular components.
  3. Calculate the magnitudes of components using trigonometry.
  4. Apply vector resolution to solve problems in physics.

 

Previous Knowledge

Learners should be familiar with vector quantities and basic trigonometry (sine, cosine, tangent).

 

Instructional Materials

  • Graph paper
  • Protractors
  • Rulers
  • Whiteboard and markers
  • Force diagrams (prepared charts)

 

Anticipation (Warm-Up) – 5 minutes

Ask:

  • “If a force acts at an angle, how can we find its effect in horizontal and vertical directions?”
  • “Why do we break forces into components?”
    Lead into vector resolution as a way to simplify complex forces.

 

Building Knowledge (Main Lesson) – 25 minutes

  1. Definition:
  • Vector Resolution: Splitting a vector into two or more component vectors, usually perpendicular (commonly horizontal and vertical).
  1. Why Resolve Vectors?
  • Simplifies calculation of effects in each direction.
  • Essential in physics problems involving forces, velocity, etc.

   

Learners’ Activities

  • Resolve a vector of 40 N acting at 45° into components.
  • Draw vector and components on graph paper with scale.
  • Group work: Resolve combined forces in a pulley system.

 

Consolidation (Review and Assessment) – 10 minutes

Oral Questions:

  • Why do we resolve vectors?
  • What formula do we use to find horizontal component?
  • Calculate components of a 60 N force at 60°.

 

Homework / Assignment

  • Resolve the following vectors into components:
    a) 70 N at 20°
    b) 100 N at 60°
  • Draw force diagrams showing components.

 

Notes – Detailed and Explained

  • Resolution is crucial for understanding motion and forces in two dimensions.
  • Components are perpendicular and independent; they can be analyzed separately.
  • Trigonometric functions allow exact calculation of components.
  • Mastery of vector resolution supports solving projectile motion and equilibrium problems.

 

Expanded Notes / Instructions

  • Encourage use of calculators for trigonometric calculations.
  • Practice sketching vectors accurately with protractors for better comprehension.

 

Inclusive / Differentiation

  • Visual aids and hands-on drawing for spatial learners.
  • Provide formula sheets for learners needing support.
  • Group discussions to foster peer support.

 

Teacher’s Reflection (Post-Lesson Questions)

  • Were learners able to resolve vectors accurately?
  • Did the examples and activities aid understanding?
  • How well did learners apply trigonometric concepts to physics problems?