Mathematics - Junior Secondary 2 - Approximation II

Approximation II

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TERM: 1st TERM

WEEK 5

Class: Junior Secondary School 2
Age: 13 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Approximation II
Focus: Nearest tens, hundreds, thousands, tenths, hundredths, and thousandths
Specific Objectives:
By the end of the lesson, pupils should be able to:

  1. Approximate numbers to the nearest tens, hundreds, and thousands.
  2. Approximate decimals to the nearest tenths, hundredths, and thousandths.
  3. Apply approximation techniques to solve quantitative reasoning problems.
  4. Round large numbers in real-life situations like population and finance.
  5. Perform accurate estimations in mathematical contexts.

Instructional Techniques:
• Question and answer
• Guided demonstration
• Discussion
• Drills and exercises
• Real-life application

Instructional Materials:
• Place value charts
• Flashcards
• Worksheets
• Whiteboard and marker

 

PERIOD 1 & 2: Approximation of Whole Numbers (Nearest Tens, Hundreds, Thousands)

Presentation:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 – Introduction

Explains the concept of rounding numbers to the nearest tens, hundreds, and thousands.

Pupils listen and ask questions.

Step 2 – Explanation

Demonstrates rounding examples using whole numbers. Example: Round 6,425 to nearest ten (6,430).

Pupils repeat and practice rounding numbers.

Step 3 – Demonstration

Uses flashcards to display numbers for rounding exercises.

Pupils practice rounding in groups.

Step 4 - Note Taking

Teacher writes summary and examples on the board.

Pupils copy notes into notebooks.

Note on Board:
• 6,425 → Rounded to nearest ten = 6,430
• 57,876 → Rounded to nearest hundred = 57,900
• 42,089 → Rounded to nearest thousand = 42,000

Evaluation (5 exercises):

  1. Round 68,230 to the nearest hundred.
  2. Round 1,247 to the nearest thousand.
  3. Round 563,981 to the nearest ten.
  4. Round 5,563 to the nearest hundred.
  5. Round 9,982 to the nearest thousand.

Classwork (5 questions):

  1. Round 12,548 to the nearest ten.
  2. Round 78,395 to the nearest hundred.
  3. Round 62,902 to the nearest thousand.
  4. Round 987 to the nearest hundred.
  5. Round 45,678 to the nearest ten.

Assignment (5 tasks):

  1. Round 105,634 to the nearest thousand.
  2. Round 234,589 to the nearest hundred.
  3. Round 9,870 to the nearest ten.
  4. Round 4,232 to the nearest thousand.
  5. Round 56,381 to the nearest ten.

 

PERIOD 3 & 4: Approximation of Decimals (Tenths, Hundredths, Thousandths)

Presentation:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 – Introduction

Introduces the concept of rounding decimals to tenths, hundredths, and thousandths.

Pupils listen and ask questions.

Step 2 – Explanation

Demonstrates rounding examples with decimals. Example: Round 3.845 to nearest tenth (3.8).

Pupils repeat and practice rounding decimals.

Step 3 – Demonstration

Uses place value chart for decimals to show rounding methods.

Pupils practice rounding decimals in pairs.

Step 4 - Note Taking

Teacher writes summary and examples on the board.

Pupils copy notes into notebooks.

Note on Board:
• 3.845 → Rounded to nearest tenth = 3.8
• 7.495 → Rounded to nearest hundredth = 7.50
• 12.346 → Rounded to nearest thousandth = 12.346

Evaluation (5 exercises):

  1. Round 5.672 to the nearest tenth.
  2. Round 8.539 to the nearest hundredth.
  3. Round 3.275 to the nearest thousandth.
  4. Round 4.846 to the nearest tenth.
  5. Round 2.983 to the nearest hundredth.

Classwork (5 questions):

  1. Round 5.478 to the nearest tenth.
  2. Round 9.623 to the nearest hundredth.
  3. Round 1.526 to the nearest thousandth.
  4. Round 7.876 to the nearest tenth.
  5. Round 3.294 to the nearest hundredth.

Assignment (5 tasks):

  1. Round 12.654 to the nearest tenth.
  2. Round 0.365 to the nearest hundredth.
  3. Round 4.876 to the nearest thousandth.
  4. Round 8.572 to the nearest tenth.
  5. Round 6.689 to the nearest hundredth.

 

PERIOD 5: Quantitative Reasoning using Approximation

Presentation:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 – Introduction

Introduces quantitative reasoning and its applications to real-life problems.

Pupils listen and ask questions.

Step 2 – Examples

Solves real-life problems using approximation techniques, e.g., estimating population, distances.

Pupils participate in problem-solving.

Step 3 – Drill

Provides problems for pupils to solve using approximation.

Pupils write and solve the problems.

Evaluation (5 questions):

  1. Estimate the population of a country to the nearest million.
  2. Round the price of a product to the nearest hundred.
  3. Round a distance of 27.849 km to the nearest tenth.
  4. Estimate the total of 2.4 million and 3.6 million.
  5. Round a monthly salary of 12,457 to the nearest thousand.

Classwork (5 tasks):

  1. Estimate the cost of a project to the nearest hundred thousand.
  2. Round the height of a building (850 meters) to the nearest hundred.
  3. Round 156.345 to the nearest hundredth.
  4. Estimate the population of a city to the nearest thousand.
  5. Round 44.785 to the nearest tenth.

Assignment (5 tasks):

  1. Find the approximate population of your country to the nearest million.
  2. Estimate the cost of a vehicle to the nearest hundred thousand.
  3. Round 18.729 to the nearest thousandth.
  4. Solve: 1.7 million + 2.8 million.

Round a yearly salary of 2.4 million to the nearest hundred thousand.