Further Mathematics - Senior Secondary 1 - Calculating and Processing Devices II

Calculating and Processing Devices II

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TERM: 3RD TERM

WEEK 4
Class: Senior Secondary School 1
Age: 15 years
Duration: 40 minutes of 4 periods
Subject: Further Mathematics
Topic: Calculating and Processing Devices II
Focus: Flowcharts and Application of Flowcharts
SPECIFIC OBJECTIVES:
By the end of the lesson, students should be able to:

  1. Understand the concept of flowcharts and their importance in problem-solving.
  2. Recognize the symbols used in flowcharts (e.g., start, process, decision, input/output).
  3. Draw a basic flowchart for a simple problem.
  4. Apply flowcharts to solve real-world problems.

INSTRUCTIONAL TECHNIQUES:
• Question and answer
• Guided demonstration
• Discussion
• Practice exercises
• Hands-on drawing activities
• Analogy and real-life connections

INSTRUCTIONAL MATERIALS:
• Whiteboard and markers
• Charts illustrating flowchart symbols
• Worksheets for practice
• Example flowcharts
• Computers/tablets for drawing flowcharts (if available)

PERIOD 1 & 2: Introduction to Flowcharts
PRESENTATION:

Step

Teacher’s Activity

Student’s Activity

Step 1 - Introduction

Introduces the concept of flowcharts as a tool for visualizing processes or algorithms. Explains how flowcharts are used to simplify and solve problems.

Students listen attentively and ask questions to clarify the purpose of flowcharts.

Step 2 - Flowchart Symbols

Introduces and explains the standard symbols used in flowcharts: ovals (start/end), rectangles (process), diamonds (decision), parallelograms (input/output). Provides examples of each symbol in use.

Students observe the symbols and take notes on their meanings and applications.

Step 3 - Drawing a Simple Flowchart

Demonstrates how to draw a simple flowchart to solve a basic problem (e.g., deciding whether to go out based on weather). Illustrates how to connect symbols with arrows.

Students follow along and practice drawing the flowchart with the teacher’s guidance.

Step 4 - Guided Practice

Provides students with a few problems and asks them to draw flowcharts to represent the solutions. Teacher guides the students through the process.

Students draw flowcharts for the provided problems under teacher supervision.

NOTE ON BOARD:
Flowchart Symbols:
• Oval: Start/End
• Rectangle: Process
• Diamond: Decision
• Parallelogram: Input/Output

EVALUATION (5 exercises):

  1. What symbol is used to represent a decision in a flowchart?
  2. What is the purpose of a flowchart?
  3. How do you connect the symbols in a flowchart?
  4. Draw a flowchart to represent the decision of whether to go out for a walk based on the weather.
  5. What symbol is used to represent the start of a process in a flowchart?

CLASSWORK (5 questions):

  1. Draw a flowchart for the process of making a cup of tea.
  2. What is the function of the diamond symbol in a flowchart?
  3. Create a flowchart for deciding what to wear based on the temperature.
  4. What is the purpose of the parallelogram symbol in a flowchart?
  5. Create a flowchart to represent how to check if a number is even or odd.

ASSIGNMENT (5 tasks):

  1. Draw a flowchart to solve the problem of finding the greatest of three numbers.
  2. Write down the steps to draw a flowchart and include all necessary symbols.
  3. Create a flowchart that represents the process of a student preparing for an exam.
  4. Research and provide an example of a real-life situation where flowcharts are used.
  5. Draw a flowchart for a decision-making process related to planning a school event.

 

PERIOD 3 & 4: Application of Flowcharts
PRESENTATION:

Step

Teacher’s Activity

Student’s Activity

Step 1 - Application of Flowcharts

Discusses real-world applications of flowcharts, such as in computer programming, process analysis, and decision-making. Provides examples of flowcharts in industries like banking or manufacturing.

Students engage in a discussion on how flowcharts can be used in different careers and problem-solving contexts.

Step 2 - Group Activity

In groups, students are given a complex problem (e.g., how to solve a math equation or how a bank transaction works) and asked to draw a flowchart that represents the process.

Students work in groups to draw flowcharts for the given problem, applying their knowledge of flowchart symbols and logic.

Step 3 - Group Presentation

Each group presents their flowchart and explains the reasoning behind the process they visualized. Teacher provides feedback on clarity and accuracy.

Students present their flowcharts and explain how the symbols and steps represent the problem-solving process.

Step 4 - Class Reflection

Reflects on the importance of using flowcharts to simplify complex problems and enhance understanding. Encourages students to integrate flowchart skills into their daily problem-solving activities.

Students participate in a class reflection and ask questions about areas they found challenging.

NOTE ON BOARD:
Flowcharts help visualize decision-making, break down complex problems, and provide a clear step-by-step process. They are used in various fields like programming, business operations, and personal decision-making.

EVALUATION (5 exercises):

  1. Draw a flowchart that represents the process of registering for an online class.
  2. What is an advantage of using a flowchart in problem-solving?
  3. How would you modify a flowchart if the decision-making process changes midway?
  4. Draw a flowchart to represent the process of applying for a bank loan.
  5. Explain how flowcharts are used in computer programming.

CLASSWORK (5 questions):

  1. Create a flowchart for ordering food in a restaurant.
  2. How can flowcharts help in organizing a project?
  3. Draw a flowchart to represent a customer service process (e.g., resolving a complaint).
  4. Why is it important to include all possible decisions in a flowchart?
  5. What real-life applications of flowcharts can you identify in your daily life?

ASSIGNMENT (5 tasks):

  1. Research how flowcharts are used in computer programming.
  2. Draw a flowchart to represent the process of applying for a job.
  3. Write an essay on the importance of flowcharts in business processes.
  4. Draw a flowchart to represent the steps to prepare for an exam.

Explain how flowcharts can be used to solve problems in daily life.