Lesson Note on Production Possibility Curve: Meaning, Plotting and Productivity for SS 2

Class: Senior Secondary School 2 (SS2 / SSS2)
Term: 1st Term
Week: 5
Age: 16 years
Duration: 45 minutes
Subject: Economics
Curriculum Theme: Basic Economic Concepts
Previous Lesson: Demand and Supply: Shifts, Movements and Types with Curves.
Topic: THE PRODUCTION POSSIBILITY CURVE
Subject Matter: Meaning of production possibility curve PPC, plotting the PPC from possible data

Specific Objectives

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

Cognitive Domain:

• Define the Production Possibility Curve (PPC).
• State the assumptions of the Production Possibility Curve.
• Explain the concept of opportunity cost in relation to the PPC.
• Calculate marginal product (MP) and average product (AP) from given data.

Affective Domain:

• Appreciate the importance of efficient resource allocation.
• Recognize the implications of scarcity and choice in production.

Psychomotor Domain:

• Plot a Production Possibility Curve using hypothetical data.
• Illustrate shifts and movements along the PPC.

Social Domain:

• Participate actively in group discussions on resource allocation.

Reference Materials

The following resources were used in planning this lesson:

• Senior Secondary Schools Education Curriculum
• State Unified Scheme of Work
• Anyanwuocha, R. A. (2018). Comprehensive Economics for Senior Secondary Schools. A. Johnson Publishers Ltd.
• https://www.tutor2u.net/economics/reference/production-possibility-frontier
• https://www.investopedia.com/terms/p/productionpossibilityfrontier.asp

Instructional Materials

The teacher will teach this lesson with the aid of:

• Whiteboard/blackboard
• Markers/chalk
• Graph sheets
• Hypothetical production data tables
• Charts illustrating Production Possibility Curves

Rationale for the Lesson

This lesson helps pupils understand how a society makes choices about what to produce with limited resources. It enables them to grasp the concepts of scarcity, choice, and opportunity cost, which are fundamental to economic decision-making.

Prerequisite/Previous Knowledge

Pupils should have a basic understanding of scarcity, choice, and fundamental economic problems from previous lessons.

Lesson Content/Board Summary

THE PRODUCTION POSSIBILITY CURVE (PPC)

Meaning of Production Possibility Curve (PPC)

The Production Possibility Curve (PPC), also known as the Production Possibility Frontier (PPF), is a graph that shows the maximum possible output combinations of two goods or services that an economy can achieve when all resources are fully and efficiently employed, given the current level of technology.

Assumptions of the PPC

The PPC is based on the following assumptions:

• The economy produces only two goods.
• All resources (land, labour, capital, entrepreneurship) are fully employed.
• Resources are fixed in quantity but can be reallocated between the production of the two goods.
• The level of technology is fixed.
• Production is efficient, meaning there is no waste of resources.

Opportunity Cost and the PPC

Opportunity cost is the value of the next best alternative that must be given up when a choice is made. The PPC illustrates opportunity cost because moving from one point to another on the curve means producing more of one good and less of another. The amount of the good sacrificed is the opportunity cost.

The outward-bowed shape of the PPC indicates increasing opportunity cost, meaning that as more of one good is produced, increasingly larger amounts of the other good must be sacrificed.

Plotting the PPC from Possible Data

To plot a PPC, hypothetical data showing different combinations of two goods that can be produced are needed.

Example Data: Production Possibility Schedule for a Country

Steps to Plot the PPC:

1. Step 1: Set up Axes. Draw a graph with the quantity of one good (e.g., Food) on the horizontal (x-axis) and the quantity of the other good (e.g., Clothing) on the vertical (y-axis).
2. Step 2: Label Axes. Label the axes clearly with the goods and their units.
3. Step 3: Choose a Scale. Select an appropriate scale for both axes to accommodate the given data.
4. Step 4: Plot the Points. Plot each combination (A, B, C, D, E) as a point on the graph. For example, for combination A, plot (0, 100).
5. Step 5: Connect the Points. Draw a smooth curve connecting all the plotted points. This curve represents the PPC.

Marginal Product (MP) and Average Product (AP)

Marginal Product (MP):

Marginal product is the additional output produced by adding one more unit of a variable input (e.g., labour) while holding all other inputs constant.

Formula: MP = Change in Total Product / Change in Variable Input

Average Product (AP):

Average product is the total output produced per unit of a variable input. It measures the productivity of each unit of the variable input.

Formula: AP = Total Product / Quantity of Variable Input

Example Data and Calculation:

Production Schedule for a Firm

Steps for Calculation:

1. Step 1: Calculate Marginal Product.
   * For 1st unit of labour: MP = (10-0) / (1-0) = 10
   * For 2nd unit of labour: MP = (25-10) / (2-1) = 15
   * For 3rd unit of labour: MP = (45-25) / (3-2) = 20
   * And so on.
2. Step 2: Calculate Average Product.
   * For 1st unit of labour: AP = 10 / 1 = 10
   * For 2nd unit of labour: AP = 25 / 2 = 12.5
   * For 3rd unit of labour: AP = 45 / 3 = 15
   * And so on.

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 about the concept of scarcity and choice, asking how societies decide what to produce with limited resources.
Pupils’ Activity: Pupils respond, recalling previous knowledge about scarcity and choice.
Learning Point: Pupils connect the current lesson to prior knowledge of economic problems.

Step 2: Meaning and Assumptions of PPC

Time: 7 minutes
Teaching Skill: Explanation/Definition
Teacher’s Activity: The teacher defines the Production Possibility Curve (PPC) and explains its underlying assumptions, using simple language and examples.
Pupils’ Activity: Pupils listen attentively, take notes, and ask clarifying questions.
Learning Point: Pupils understand the definition and conditions for the PPC.

Step 3: Opportunity Cost and the PPC

Time: 7 minutes
Teaching Skill: Elucidation/Illustration
Teacher’s Activity: The teacher explains how the PPC illustrates opportunity cost, using movements along the curve to demonstrate the trade-offs involved in production.
Pupils’ Activity: Pupils observe the illustration and grasp the relationship between PPC and opportunity cost.
Learning Point: Pupils learn how the PPC demonstrates opportunity cost.

Step 4: Plotting the PPC

Time: 8 minutes
Teaching Skill: Demonstration/Practical Application
Teacher’s Activity: The teacher provides hypothetical production data on the board and guides pupils step-by-step on how to plot the PPC on graph sheets.
Pupils’ Activity: Pupils copy the data, follow the teacher’s instructions, and plot the PPC on their graph sheets.
Learning Point: Pupils develop the skill of plotting a Production Possibility Curve.

Step 5: Calculating Marginal Product (MP) and Average Product (AP)

Time: 8 minutes
Teaching Skill: Calculation/Problem Solving
Teacher’s Activity: The teacher explains the concepts of Marginal Product (MP) and Average Product (AP), provides a simple production schedule, and demonstrates how to calculate them.
Pupils’ Activity: Pupils pay attention to the formulas and steps, and practice the calculations.
Learning Point: Pupils learn to calculate marginal and average product from given data.

Step 6: Class Discussion and Practice

Time: 5 minutes
Teaching Skill: Collaborative Learning
Teacher’s Activity: The teacher encourages pupils to discuss their plotted graphs and calculations, addressing any difficulties they encountered.
Pupils’ Activity: Pupils share their work, compare answers, and ask questions for clarification.
Learning Point: Pupils reinforce their understanding through peer interaction and practice.

Step 7: Evaluation/Review

Time: 5 minutes

Teaching Skill: Questioning/Assessment

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

1. Define the Production Possibility Curve (PPC).
2. State any three assumptions of the PPC.
3. Explain how the PPC illustrates opportunity cost.
4. Given a production schedule, calculate the marginal product (MP) and average product (AP).

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 summarizes the key points of the lesson, emphasizing the importance of PPC in understanding resource allocation and scarcity.
Pupils’ Activity: Pupils listen to the summary and prepare for the next lesson.
Learning Point: Pupils review the main concepts of the lesson.

Lesson Keywords

• Production Possibility Curve (PPC) – A graph showing maximum output combinations of two goods with full and efficient resource use.
• Opportunity Cost – The value of the next best alternative foregone when a choice is made.
• Marginal Product (MP) – The additional output from one more unit of variable input.
• Average Product (AP) – Total output per unit of variable input.
• Scarcity – The fundamental economic problem of having seemingly unlimited human wants and needs in a world of limited resources.

Differentiation

For pupils who grasp concepts quickly, the teacher can provide additional data sets to plot and analyze shifts of the PPC. For pupils who need more support, the teacher can provide partially completed graphs or calculation tables and offer one-on-one guidance.

Note for teachers using this lesson plan

Ensure that pupils have graph sheets and rulers for plotting the PPC. Emphasize the practical implications of scarcity and choice in real-world economic decisions. Encourage active participation and questioning throughout the lesson.