Class: Senior Secondary School 1 (SS1, SS 1, SSS1, SSS 1)
Term: First Term
Week: 7
Age: 15 years
Duration: 45 minutes
Subject: Physics
Curriculum Theme: Motion
Previous Lesson: Motion.
Topic: RECTILINEAR ACCELERATION
Subject Matter: Concept of acceleration, uniform acceleration and non-uniform acceleration, velocity-time graph, analysis of rectilinear motion, equations of uniformly accelerated motion, interpreting and applying motion equations to solve simple problems

Specific Objectives

By the end of the lesson, pupils should be able to:

Cognitive Domain:

Define acceleration and state its S.I. unit.
Distinguish between uniform and non-uniform acceleration.
Interpret velocity-time graphs to determine acceleration and displacement.
State and explain the three equations of uniformly accelerated motion.

Affective Domain:

Appreciate the application of rectilinear acceleration in everyday situations.
Develop a systematic approach to solving problems involving accelerated motion.

Psychomotor Domain:

Plot velocity-time graphs from given data.
Apply the equations of motion to solve simple numerical problems accurately.

Collaborate with peers to discuss and solve physics problems.

Reference Materials

The following resources were used in planning this lesson:

9 Years Basic Education Curriculum for Senior Secondary Schools.
State Unified Scheme of Work for Physics, SSS 1.
New School Physics by M.W. Anyakoha.
Physics for Senior Secondary Schools by P.N. Okeke and C.N. Okeke.

Instructional Materials

The teacher will teach this lesson with the aid of:

Graph paper
Ruler
Stopwatch
Sample data tables for velocity and time
Chalkboard/Whiteboard
Calculator (optional)

Rationale for the Lesson

This lesson helps pupils understand how the speed of objects changes over time. Understanding acceleration is fundamental to explaining the motion of vehicles, falling objects, and many other phenomena in the physical world.

Prerequisite/Previous Knowledge

Pupils are expected to have prior knowledge of distance, displacement, speed, velocity, and types of motion from previous lessons.

Lesson Content/Board Summary

Rectilinear Acceleration

Concept of Acceleration

Acceleration is defined as the rate of change of velocity with respect to time. It is a vector quantity, meaning it has both magnitude and direction.

The S.I. unit of acceleration is metres per second squared (m/s²).

Formula: Acceleration (a) = (Final velocity (v) – Initial velocity (u)) / Time (t)

Types of Rectilinear Acceleration

The two main types of rectilinear acceleration are:

Uniform Acceleration: An object has uniform acceleration if its velocity changes by equal amounts in equal intervals of time. In this case, the acceleration remains constant.
Non-uniform Acceleration: An object has non-uniform acceleration if its velocity changes by unequal amounts in equal intervals of time. The acceleration is not constant.

Velocity-Time Graphs

A velocity-time graph plots velocity on the y-axis against time on the x-axis.

The following can be determined from a velocity-time graph:

Gradient of the graph: Represents the acceleration of the object.
Area under the graph: Represents the displacement (distance covered) by the object.

For uniform acceleration, the velocity-time graph is a straight line with a positive slope. For uniform velocity (zero acceleration), it is a horizontal line.

Equations of Uniformly Accelerated Motion

For objects moving with uniform acceleration, their motion can be described by three main equations:

First Equation: v = u + at
Second Equation: s = ut + ½at²
Third Equation: v² = u² + 2as

Where:

u = initial velocity
v = final velocity
a = acceleration
t = time taken
s = displacement (distance)

Applying Equations of Motion

To solve problems using the equations of motion, follow these steps:

Identify the known quantities (u, v, a, t, s).
Identify the unknown quantity to be found.
Choose the appropriate equation that relates the known and unknown quantities.
Substitute the values and solve for the unknown.

Teaching Methods/Instructional Techniques

Discussion, Lecture, Demonstration, Question and Answer, Visual Aids

Instructional Procedures

Step 1: Introduction

Time: 5 minutes
Teaching Skill: Set Induction
Teacher’s Activity: The teacher greets the pupils and reminds them of the previous lesson on velocity. The teacher then asks pupils to describe what happens to the velocity of a car when the driver presses the accelerator pedal or the brake pedal, leading to the concept of change in velocity.
Pupils’ Activity: Pupils respond to questions and recall previous knowledge on velocity and changes in motion.
Learning Point: Pupils are prepared for the new topic of acceleration.

Step 2: Concept of Acceleration

Time: 8 minutes
Teaching Skill: Explanation/Definition
Teacher’s Activity: The teacher defines acceleration as the rate of change of velocity, explains its vector nature, and states its S.I. unit. The teacher writes the formula for acceleration on the board and gives simple examples.
Pupils’ Activity: Pupils listen attentively, copy notes from the board, and ask questions for clarification.
Learning Point: Pupils understand the definition, formula, and unit of acceleration.

Step 3: Types of Rectilinear Acceleration

Time: 5 minutes
Teaching Skill: Differentiation/Classification
Teacher’s Activity: The teacher explains the difference between uniform and non-uniform acceleration with clear examples. The teacher emphasizes that for this lesson, the focus will be on uniform acceleration.
Pupils’ Activity: Pupils listen and note the distinction between the two types of acceleration.
Learning Point: Pupils can differentiate between uniform and non-uniform acceleration.

Step 4: Velocity-Time Graphs

Time: 10 minutes
Teaching Skill: Demonstration/Visualisation
Teacher’s Activity: The teacher demonstrates how to plot a simple velocity-time graph using sample data. The teacher then explains how the gradient of the graph gives acceleration and the area under the graph gives displacement. The teacher draws various simple velocity-time graphs (uniform acceleration, uniform velocity, deceleration) on the board.
Pupils’ Activity: Pupils observe the plotting, interpret the graphs, and copy the different graph shapes and their meanings.
Learning Point: Pupils learn to plot and interpret velocity-time graphs.

Step 5: Equations of Uniformly Accelerated Motion

Time: 7 minutes
Teaching Skill: Derivation/Formulation
Teacher’s Activity: The teacher writes the three equations of uniformly accelerated motion on the board (v = u + at, s = ut + ½at², v² = u² + 2as) and explains each variable. The teacher can briefly explain how the first equation is derived from the definition of acceleration.
Pupils’ Activity: Pupils write down the equations and the meaning of each variable.
Learning Point: Pupils know the equations of motion and understand their components.

Step 6: Problem Solving

Time: 5 minutes
Teaching Skill: Problem Solving/Application
Teacher’s Activity: The teacher works through one simple example problem on the board, demonstrating how to identify knowns and unknowns, select the correct equation, and solve for the unknown quantity.
Pupils’ Activity: Pupils follow the steps demonstrated by the teacher and ask questions about the problem-solving process.
Learning Point: Pupils gain initial experience in applying the equations of motion to solve problems.

Step 7: Evaluation/Review

Time: 5 minutes

Teaching Skill: Questioning/Assessment

Teacher’s Activity: The teacher evaluates the learning by asking the following questions:

Define acceleration and state its S.I. unit.
Distinguish between uniform and non-uniform acceleration.
What does the gradient of a velocity-time graph represent?
State any two equations of uniformly accelerated motion.

Pupils’ Activity: Pupils answer orally and in writing.

Learning Point: Pupils demonstrate understanding of the lesson.

Step 8: Conclusion

Time: 2 minutes
Teaching Skill: Summarization
Teacher’s Activity: The teacher briefly summarizes the key points of the lesson, reiterating the importance of understanding acceleration in physics. The teacher gives a take-home assignment involving two simple problems on rectilinear acceleration.
Pupils’ Activity: Pupils listen to the summary and note down the assignment.
Learning Point: Pupils consolidate their learning and prepare for further practice.

Lesson Keywords

Acceleration – The rate of change of velocity with respect to time.
Uniform acceleration – When velocity changes by equal amounts in equal time intervals.
Non-uniform acceleration – When velocity changes by unequal amounts in equal time intervals.
Velocity-time graph – A graph showing velocity plotted against time, used to determine acceleration and displacement.
Equations of motion – Mathematical formulas (v = u + at, s = ut + ½at², v² = u² + 2as) used to describe uniformly accelerated motion.

Differentiation

For pupils who grasp concepts quickly, the teacher can provide more complex problems or challenge them to derive one of the equations of motion. For pupils needing more support, the teacher will provide simplified examples, additional guidance, and visual aids, ensuring they understand the fundamental concepts and basic problem-solving steps.

Note for teachers using this lesson plan

Teachers should ensure that pupils are comfortable with basic algebraic manipulation before tackling the equations of motion. Emphasize the vector nature of velocity and acceleration. Encourage pupils to draw diagrams for problems to visualize the motion. Practical examples from daily life will help pupils relate to the concepts.