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Fractions, Proper, Improper and Mixed Fractions for JSS 1

JSS 1 pupils learn Fractions, Proper, Improper and Mixed Fractions, follow worked examples and practise accurate problem-solving with objective-aligned checks.

Royal AlikorByRoyal AlikorPublishedSep 19, 2025Reading5 minComments0

Class: Junior Secondary School 1 (JSS1, JSS 1)
Term: 1st Term
Week: 4
Age: 12 years
Duration: 45 minutes
Subject: Mathematics
Curriculum Theme: Mathematics
Previous Lesson: Lowest Common Multiple (L.C.M.) and Highest Common Factor (H.C.F.) of Whole Numbers
Topic: Fractions (Part 1)
Subject Matter: Meaning of Fraction, Types of Fractions (Proper and Improper Fractions), Mixed Fractions


Specific Objectives

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

  • Cognitive Domain:
    (a) Define and identify fractions.
    (b) Differentiate between proper and improper fractions.
    (c) Explain the concept of mixed fractions.
  • Affective Domain:
    (a) Appreciate the importance of fractions in solving everyday problems like sharing and measurement.
  • Psychomotor Domain:
    (a) Represent fractions using diagrams and real-life objects.
    (b) Convert improper fractions to mixed fractions and vice versa.
  • Social Domain:
    (a) Work collaboratively in groups to solve fraction-related exercises.

Reference Materials

The following resources were used in planning this lesson:

  • 9 Years Basic Education Curriculum
  • Lagos State Unified Scheme of work for Junior Secondary Schools
  • Cuemat – Fractions – Definition, Fraction Examples, What is a Fraction?
  • Relevant Textbooks

Instructional Materials

The teacher will teach this lesson with the aid of:

  • Fraction charts and diagrams
  • Paper cutouts (shapes divided into equal parts)
  • Real-life objects like fruits, bread, or cakes cut into parts
  • Whiteboard and markers
  • Flash cards with fraction examples

Rationale for the Lesson

Fractions are fundamental in Mathematics and daily life as they help in solving problems of sharing, measurement, and comparison. This lesson lays the foundation for advanced fraction operations.


Prerequisite/Previous Knowledge

Pupils have prior knowledge of whole numbers and basic division, and they can recognize equal sharing in everyday life situations.


Lesson Content/Board Summary

Fractions

Meaning of Fraction

A fraction is a way of showing a part of a whole. It has two numbers: the numerator (top) and the denominator (bottom). The numerator shows how many parts are taken, while the denominator shows the total number of equal parts.

Examples include: ½, ¾, 5/8.


Proper and Improper Fractions

Fractions can be grouped into proper and improper fractions.

  • Proper fractions are those where the numerator is smaller than the denominator.
  • Improper fractions are those where the numerator is equal to or greater than the denominator.

The following are examples of proper fractions:

  1. 1/2
  2. 3/5
  3. 7/10

The following are examples of improper fractions:

  1. 5/3
  2. 8/4
  3. 11/7
Mixed Fractions

A mixed fraction is a combination of a whole number and a proper fraction. It is another way of writing an improper fraction.

Examples include:

  1. 2 ½ (which is the same as 5/2)
  2. 3 ¾ (which is the same as 15/4)
  3. 4 ⅔ (which is the same as 14/3)

Converting Fractions

A proper fraction has a numerator smaller than its denominator. An improper fraction has a numerator equal to or greater than its denominator. To change an improper fraction to a mixed number, divide the numerator by the denominator: the quotient is the whole number and the remainder becomes the new numerator. Example: 11/4 = 2 3/4.

Teaching Methods/Instructional Techniques:

Discussion, Lecture, Explanation, Demonstration, Group Work, Question and Answer, Visual Aids


Instructional Procedures

To deliver this lesson, the teacher will adopt the following steps:

Step 1: Introduction

Time: 5 minutes
Teaching Skill: Set Induction
Teacher’s Activity: The teacher shows a loaf of bread cut into equal slices and asks pupils how to describe parts taken from the whole.
Pupils’ Activity: Pupils respond by describing the parts using simple terms.
Learning Point: Pupils are introduced to the concept of fractions as part of a whole.

Step 2: Meaning of Fraction

Time: 8 minutes
Teaching Skill: Explanation
Teacher’s Activity: The teacher explains the meaning of fractions with charts and symbols.
Pupils’ Activity: Pupils listen and copy notes.
Learning Point: Pupils understand what fractions represent.

Step 3: Proper and Improper Fractions

Time: 10 minutes
Teaching Skill: Discussion
Teacher’s Activity: The teacher differentiates between proper and improper fractions using examples on the board.
Pupils’ Activity: Pupils give examples of fractions they know and identify whether they are proper or improper.
Learning Point: Pupils learn to classify fractions correctly.

Step 4: Mixed Fractions

Time: 10 minutes
Teaching Skill: Demonstration
Teacher’s Activity: The teacher explains mixed fractions and shows how to convert improper fractions to mixed fractions using step-by-step examples.
Pupils’ Activity: Pupils solve guided examples on the board.
Learning Point: Pupils understand and apply the concept of mixed fractions.

Step 5: Note-Taking

Time: 5 minutes
Teaching Skill: Explanation
Teacher’s Activity: Teacher dictates or writes the board summary for pupils to copy.
Pupils’ Activity: Pupils write notes into their exercise books.
Learning Point: Pupils have a written record of the lesson content.

Step 6: Evaluation/Review

Time: 5 minutes
Teaching Skill: Questioning
Teacher’s Activity: The teacher evaluates the learning by asking the following questions:

  1. What is a fraction?
  2. Give two examples each of proper and improper fractions.
  3. Write 7/2 as a mixed fraction.
    Pupils’ Activity: Pupils answer orally and on the board.
    Learning Point: Pupils’ understanding of fractions is tested and confirmed.

Step 7: Conclusion

Time: 2 minutes
Teaching Skill: Reinforcement
Teacher’s Activity: The teacher summarizes the lesson and encourages pupils to observe fractions in daily life, such as during sharing of food.
Pupils’ Activity: Pupils listen and ask questions.
Learning Point: Pupils appreciate the relevance of fractions in real life.


Home Task: Solve three new exercises on Fractions (Part 1). Show each step and check each answer.

Lesson Keywords

  • Fraction – a part of a whole expressed with numerator and denominator
  • Numerator – the top number in a fraction showing parts taken
  • Denominator – the bottom number showing total equal parts
  • Proper Fraction – a fraction where numerator < denominator
  • Improper Fraction – a fraction where numerator ≥ denominator
  • Mixed Fraction – a whole number combined with a proper fraction

Differentiation

Provide simplified examples and diagrams for slower learners, while advanced learners solve more challenging fraction conversions.


Note for teachers using this lesson plan

Always use real-life objects to explain fractions for better understanding. Ensure pupils practice plenty of examples and encourage peer learning through group activities.

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Fractions, Proper, Improper and Mixed Fractions for JSS 1
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