Mathematics - Junior Secondary 2 - Solve Problems on Quantitative Aptitude Related to Plane Shapes/Figures and Scale Drawing

Solve Problems on Quantitative Aptitude Related to Plane Shapes/Figures and Scale Drawing

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  4. Solve Problems on Quantitative Aptitude Related to Plane Shapes/Figures and Scale Drawing

TERM: 2ND TERM

WEEK 8
Class: Junior Secondary School 2
Age: 13 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Solve Problems on Quantitative Aptitude Related to Plane Shapes/Figures and Scale Drawing
Focus: Problem-solving involving plane shapes and scale drawing

SPECIFIC OBJECTIVES:

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

  1. Solve quantitative aptitude problems involving plane shapes.
  2. Solve problems related to scale drawings and real-world applications.
  3. Apply concepts of plane shapes and scale drawings in problem-solving.

INSTRUCTIONAL TECHNIQUES:

  • Problem-solving approach
  • Group work
  • Individual exercises
  • Real-life applications

INSTRUCTIONAL MATERIALS:

  • Whiteboard and markers
  • Flashcards with shape diagrams
  • Scale drawing charts
  • Worksheets with practice problems
  • Rulers and compasses

 

PERIOD 1 & 2: Problem-solving with Plane Shapes

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Introduces sample problems involving the calculation of area and perimeter of various shapes.

Pupils listen and solve the examples with guidance.

Step 2 - Explanation

Demonstrates how to apply formulas for area and perimeter of plane shapes.

Pupils take notes and practice with teacher’s guidance.

Step 3 - Practice

Pupils are given problems on the area of squares, rectangles, circles, and triangles.

Pupils solve problems in groups and individually.

Step 4 - Discussion

Reviews solutions with pupils, explaining steps and common mistakes.

Pupils ask questions and clarify doubts.

EVALUATION (5 exercises):

  1. Find the area of a rectangle with a length of 10 cm and width of 6 cm.
  2. Calculate the perimeter of a square with a side length of 4 cm.
  3. What is the area of a circle with a radius of 7 cm?
  4. Solve for the area of a triangle with base 8 cm and height 5 cm.
  5. Calculate the perimeter of a triangle with sides 5 cm, 6 cm, and 7 cm.

CLASSWORK (5 questions):

  1. Find the area of a square with a side of 5 cm.
  2. What is the perimeter of a rectangle with a length of 12 cm and width of 8 cm?
  3. Calculate the area of a triangle with a base of 10 cm and height of 6 cm.
  4. Find the area of a circle with a radius of 3 cm.
  5. Solve for the perimeter of a quadrilateral with sides of 4 cm, 5 cm, 6 cm, and 7 cm.

ASSIGNMENT (5 tasks):

  1. Solve for the area of a rectangle with a length of 15 cm and width of 8 cm.
  2. Calculate the perimeter of a circle with a diameter of 14 cm.
  3. Solve for the area of a triangle with base 9 cm and height 4 cm.
  4. Calculate the area of a parallelogram with base 10 cm and height 5 cm.
  5. Draw a scale diagram of a garden and calculate its area.

 

PERIOD 3 & 4: Problem-solving with Scale Drawings

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Explains how to scale down or scale up an object using a scale factor.

Pupils listen and ask questions.

Step 2 - Explanation

Demonstrates the process of creating a scale drawing and applying the scale factor to real-world problems.

Pupils practice creating scale drawings with guidance.

Step 3 - Practice

Pupils solve problems involving the scaling of objects, such as maps, buildings, or floor plans.

Pupils work in groups to complete exercises.

Step 4 - Discussion

Discusses solutions, common challenges, and practical applications of scale drawing.

Pupils ask questions and share their solutions.

EVALUATION (5 exercises):

  1. Given a scale of 1:50, find the dimensions of a building that is 100 m long and 50 m wide.
  2. Create a scale drawing of a park with a scale of 1:100.
  3. Solve for the dimensions of a road in a scale map with a scale of 1:500.
  4. Given a scale of 1:10, find the size of a book with a length of 15 cm and width of 10 cm.
  5. Scale a rectangle of dimensions 20 cm by 30 cm down to 1:10.

CLASSWORK (5 questions):

  1. Create a scale model of a room with dimensions 10 m by 5 m, using a scale of 1:20.
  2. Find the dimensions of a map with a scale of 1:500.
  3. Solve for the area of a building using a scale factor of 1:100.
  4. Draw a scale diagram of a playground with a scale of 1:50.
  5. Create a scale drawing of a car with dimensions 4 m by 2 m, using a scale of 1:25.

ASSIGNMENT (5 tasks):

  1. Create a scale model of a library room using a scale factor of 1:10.
  2. Solve a real-world problem related to the scaling of a city map.
  3. Calculate the perimeter of a scale drawing of a house with a scale of 1:100.
  4. Use a scale factor of 1:200 to calculate the area of a stadium on a map.

Draw a scale diagram of a basketball court with a scale factor of 1:10.