Mathematics - Junior Secondary 1 - Whole Numbers Continued – Problem Solving in Quantitative Reasoning Using Large Numbers

Whole Numbers Continued – Problem Solving in Quantitative Reasoning Using Large Numbers

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  4. Whole Numbers Continued – Problem Solving in Quantitative Reasoning Using Large Numbers

TERM: 1ST TERM

WEEK 2

Class: Junior Secondary School 1
Age: 12 years
Duration: 40 minutes of 5 periods
Subject: Mathematics

Topic: Whole Numbers Continued – Problem Solving in Quantitative Reasoning Using Large Numbers

SPECIFIC OBJECTIVES:

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

  1. Solve addition, subtraction, and comparison problems involving large numbers.
  2. Identify logical sequences and patterns in large numbers.
  3. Analyze real-life quantitative scenarios.
  4. Interpret and solve word problems.
  5. Build reasoning capacity using place values.

INSTRUCTIONAL TECHNIQUES:

  • Guided practice
  • Group work
  • Drill and correction
  • Peer teaching
  • Real-world application

INSTRUCTIONAL MATERIALS:

  • Worksheets
  • Flashcards
  • Charts
  • Whiteboard
  • Newspapers

PERIOD 1 & 2: Quantitative Reasoning I (Addition, Subtraction, Comparison)

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Presents a few examples of real-life problems.

Pupils listen.

Step 2 - Explanation

Solves examples like: Find the difference between 2 billion and 1.5 billion.

Pupils solve similar problems.

Step 3 - Practice

Pupils work in groups to solve 3 real-life questions.

Pupils work together.

EVALUATION (5 questions):

  1. 3,000,000,000 + 2,000,000
  2. Subtract: 5,000,000,000 – 3,000,000
  3. Which is greater: 8,500,000,000 or 8,050,000,000?
  4. Find the sum of 450 million and 550 million.
  5. What is 1 trillion minus 900 billion?

CLASSWORK (5 problems):

  1. 2,000,000 + 1,000,000
  2. 1,200,000,000 – 200,000,000
  3. Arrange in ascending order: 1B, 900M, 1.5B
  4. Find total: 2.3B + 0.5B
  5. Which is smaller: 3B or 2.9B?

ASSIGNMENT (5 problems):

  1. Write 2 problems that involve large number subtraction.
  2. Solve 3 addition problems involving billions.
  3. Compare 3 sets of large numbers.
  4. Explain the steps taken to solve one.
  5. Show your working clearly.

 

PERIOD 3 & 4: Quantitative Reasoning II (Patterns and Sequences)

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Introduces number sequences with large numbers.

Pupils observe.

Step 2 - Explanation

Explains skipping patterns e.g., +1 million, +5 million.

Pupils practice.

Step 3 - Group Task

Pupils complete pattern tables in groups.

Pupils fill in sequences.

EVALUATION (5 questions):
Complete the sequence:

  1. 1,000,000; 2,000,000; __; __; __
  2. 10B; 9.5B; 9B; __; __
  3. Add 3 million each time: 3M, __, __, __
  4. Subtract 1 billion each time: 10B, __, __
  5. 900M, 950M, 1B, __, __

CLASSWORK (5 problems):
Fill the missing numbers:

  1. 1B, 2B, __, __, __
  2. 800M, 850M, __, __, 1B
  3. 3,000,000 → add 500,000 → __, __, __
  4. 5,000,000,000 → subtract 100M → __, __
  5. Write 3 patterns of your own

ASSIGNMENT (5 tasks):

  1. Create 3 number sequences using millions.
  2. Create 2 using billions.
  3. Fill missing terms in a sequence.
  4. State the rule in each sequence.
  5. Share with a classmate to solve.

 

PERIOD 5: Word Problems & Real-Life Application

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Reviews problem-solving steps.

Pupils revise steps.

Step 2 - Examples

Gives multi-step real-life problems.

Pupils follow steps and solve.

Step 3 - Practice

Pupils solve individually and discuss in class.

Pupils collaborate.

EVALUATION (5 questions):

  1. The population of Lagos is 20 million. Abuja is 4 million. How many more people live in Lagos?
  2. A company made 2 billion in 2022 and 3 billion in 2023. What is the total?
  3. Write in figures: Ten billion, five million
  4. Compare: 7,500,000,000 and 7,050,000,000
  5. If you have 10 trillion and spend 2 trillion, how much is left?

CLASSWORK (5 tasks):

  1. Solve 2 real-life population problems.
  2. Create a simple bar graph with large values.
  3. Write 2 word problems involving billions.
  4. Solve: A company’s profit = 3B; Expenses = 2B. What is left?
  5. Multiply 1B by 2.

ASSIGNMENT (5 tasks):

  1. Search for a population figure in any African country.
  2. Write it in words and figures.
  3. Write a problem using that number.
  4. Compare it with Nigeria’s population.

Solve and explain your answer.