Mathematics - Junior Secondary 2 - Quantitative aptitude on plane shapes and scale drawing

Quantitative aptitude on plane shapes and scale drawing

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TERM: 2ND TERM

WEEK 7
Class: Junior Secondary School 2
Age: 13 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Quantitative Aptitude on Plane Shapes and Scale Drawing
Focus: Defining Quantitative Aptitude, Reasons for Studying Quantitative Aptitude

SPECIFIC OBJECTIVES:

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

  1. Define quantitative aptitude.
  2. Understand the importance of quantitative aptitude.
  3. Relate quantitative aptitude to real-life applications.
  4. Recognize the significance of plane shapes and scale drawings in solving real-world problems.

INSTRUCTIONAL TECHNIQUES:

  • Explanation
  • Question and Answer
  • Group Discussion
  • Guided Practice

INSTRUCTIONAL MATERIALS:

  • Whiteboard and markers
  • Flashcards
  • Chart of plane shapes (e.g., circle, square, rectangle)
  • Sample scale drawings
  • Worksheets

 

PERIOD 1 & 2: Defining Quantitative Aptitude and Its Importance

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Defines quantitative aptitude as the ability to solve numerical problems efficiently and accurately.

Pupils listen and ask questions for clarification.

Step 2 - Explanation

Explains that quantitative aptitude includes topics like arithmetic, algebra, geometry, and logical reasoning.

Pupils take notes.

Step 3 - Discussion

Discusses the real-life applications of quantitative aptitude in fields like engineering, banking, architecture, and business.

Pupils share thoughts on how they think quantitative aptitude can be useful.

Step 4 - Conclusion

Recaps the importance of quantitative aptitude in everyday life and various professions.

Pupils summarize the importance of quantitative aptitude in real life.

EVALUATION (5 exercises):

  1. Define quantitative aptitude in your own words.
  2. Give two examples of professions where quantitative aptitude is important.
  3. How is quantitative aptitude useful in daily life?
  4. Mention one field that requires quantitative aptitude skills.
  5. Identify a problem you can solve using quantitative aptitude skills.

CLASSWORK (5 questions):

  1. Write a definition of quantitative aptitude.
  2. Name two jobs that require strong quantitative aptitude.
  3. Mention one scenario where quantitative aptitude can help in decision-making.
  4. Explain how quantitative aptitude can improve problem-solving skills.
  5. List one example where plane shapes are used in real life.

ASSIGNMENT (5 tasks):

  1. Write a 100-word explanation of how quantitative aptitude is applied in architecture.
  2. Solve a simple arithmetic problem related to real-life purchases using quantitative aptitude.
  3. Define the term "plane shape" and give an example.
  4. Write a scenario where understanding plane shapes helps in construction work.
  5. Research a profession that uses quantitative aptitude regularly and explain how.

 

PERIOD 3 & 4: Plane Shapes and Scale Drawings

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Introduces plane shapes (circle, square, rectangle, triangle, etc.) and their properties.

Pupils listen and observe the different plane shapes demonstrated.

Step 2 - Explanation

Discusses the use of plane shapes in real life (architecture, design, navigation).

Pupils ask questions and take notes.

Step 3 - Demonstration

Demonstrates how scale drawings are used to represent large objects (like buildings, maps).

Pupils practice with scale drawings on paper.

Step 4 - Practice

Pupils practice drawing basic shapes to scale and labeling their properties.

Pupils complete drawing exercises on paper.

NOTE ON BOARD:

  • Plane Shapes: 2-dimensional figures (e.g., circle, square, triangle, rectangle, polygon).
  • Scale Drawing: A drawing that represents an object with accurate sizes but reduced or enlarged by a specific ratio.

EVALUATION (5 exercises):

  1. Identify the shape used in a given design (circle, square, etc.).
  2. State the properties of a rectangle and a triangle.
  3. Calculate the area of a rectangle with given dimensions.
  4. Draw a circle to scale.
  5. Explain the difference between a real object and a scale drawing.

CLASSWORK (5 questions):

  1. Draw a rectangle with a length of 8 cm and width of 5 cm.
  2. Identify the properties of a square.
  3. Solve for the area of a triangle with a base of 6 cm and height of 10 cm.
  4. Convert a real object into a scale drawing using a 1:10 ratio.
  5. Label the parts of a circle (center, radius, diameter).

ASSIGNMENT (5 tasks):

  1. Draw a scale diagram of a book with a length of 15 cm and width of 10 cm.
  2. Calculate the area of a square with a side length of 12 cm.
  3. Research and identify the use of plane shapes in modern architecture.
  4. Draw a triangle with given angles (45°, 45°, 90°).

Create a scale model of a rectangular table with a scale of 1:5.