Class: Junior Secondary School 1 (JSS1, JSS 1)
Term: 1st Term
Week: 10
Age: 12 years
Duration: 45 minutes
Subject: Mathematics
Curriculum Theme: Mathematics
Previous Lesson: Multiplication and Division of Fractions, Prime Numbers and Factors
Topic: Estimation
Subject Matter: Concept of Estimation and Reasons, Estimation of Dimensions and Distance, Estimation of Capacity, Volumes and Mass of Objects, Estimation of Other Things e.g. Age, Time, etc, Quantitative Reasoning Involving Estimation

Specific Objectives

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

Cognitive Domain:
(a) State reasons why estimation is important in daily life.
(b) Solve quantitative reasoning problems involving estimation of figures and quantities.
Affective Domain:
(a) Appreciate the usefulness of estimation in saving time and resources.
(b) Develop a positive attitude towards making quick and reasonable approximations.
Psychomotor Domain:
(a) Practice estimation by measuring classroom objects and comparing with actual measurements.
Social Domain:
(a) Work collaboratively in groups to estimate and discuss real-life quantities like distances and capacities.

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
Math Goodies – “Estimation” (https://www.mathgoodies.com/lessons/vol5/estimation)
Relevant Textbooks

Instructional Materials

The teacher will teach this lesson with the aid of:

Measuring tape and ruler
Cups, bottles, and buckets for capacity estimation
Small weights or stones for mass estimation
Charts showing examples of estimation
Blackboard and chalk/marker

Rationale for the Lesson

This lesson helps pupils develop the ability to make reasonable guesses in mathematics and everyday life situations, enhancing problem-solving and decision-making skills.

Prerequisite/Previous Knowledge

Pupils already have basic knowledge of numbers, measurement, and simple arithmetic operations from earlier lessons and daily experiences.

Lesson Content/Board Summary

Estimation

Concept of Estimation and Reasons

Estimation means making a close guess or approximate value of a number, size, distance, capacity, mass, or time without calculating the exact figure. It is used when exact numbers are not necessary or when time is limited.

The following are reasons for estimation:

To save time and energy in solving problems.
To make quick decisions in everyday life.
To avoid unnecessary calculations when approximations are enough.
To plan and manage resources effectively.

Estimation of Dimensions and Distance

This involves making approximate guesses of the length, width, or height of objects, or the distance between two places.

Examples include:

Estimating the length of a classroom wall as about 10 metres.
Estimating the distance from home to school as about 2 kilometres.
Estimating the height of a chair as about 1 metre.

Estimation of Capacity, Volumes and Mass of Objects

Estimation can be used to guess the amount a container can hold, the space an object covers, or the weight of an item.

The following are examples:

Estimating a cup to hold about 200 millilitres of water.
Estimating a bucket’s capacity as about 15 litres.
Estimating a stone’s mass as about 2 kilograms.

Estimation of Other Things (Age, Time, etc)

Estimation is also applied to non-material things like age and time.

Examples include:

Estimating a boy’s age as about 12 years.
Estimating time spent in traffic as about 30 minutes.
Estimating the duration of a football match as about 90 minutes.

Quantitative Reasoning Involving Estimation

Estimation is also useful in mathematics problem-solving where exact answers are not needed. It helps in checking correctness of calculations.

Examples include:

Estimating the sum of 298 and 503 as about 800.
Estimating the product of 49 and 21 as about 1000.
Estimating 1.9 + 2.2 as about 4.

Teaching Methods/Instructional Techniques:

Discussion, Lecture, Explanation, Demonstration, Group Work, Question and Answer, Problem-Solving

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 begins by asking pupils how they can guess the number of students in the class without counting one by one.
Pupils’ Activity: Pupils respond with suggestions like “by looking,” “by grouping,” or “by guessing.”
Learning Point: Pupils are introduced to estimation as a mathematical process of making close guesses.

Step 2: Concept of Estimation and Reasons

Time: 8 minutes
Teaching Skill: Explanation
Teacher’s Activity: The teacher explains estimation and lists reasons for estimation with examples.
Pupils’ Activity: Pupils listen, take notes, and ask questions.
Learning Point: Pupils understand the meaning and importance of estimation.

Step 3: Estimation of Dimensions, Capacity, and Mass

Time: 10 minutes
Teaching Skill: Demonstration
Teacher’s Activity: The teacher demonstrates estimation of length, distance, capacity, and mass using rulers, bottles, and weights.
Pupils’ Activity: Pupils attempt their own estimations of classroom items.
Learning Point: Pupils practice estimation of real objects around them.

Step 4: Estimation of Age, Time and Quantitative Reasoning

Time: 10 minutes
Teaching Skill: Discussion and Problem-Solving
Teacher’s Activity: The teacher gives real-life examples of age and time estimation, then guides pupils to solve estimation problems in mathematics.
Pupils’ Activity: Pupils solve given problems and share their answers.
Learning Point: Pupils apply estimation to both real-life and mathematical problems.

Step 5: Note-Taking

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

Step 6: Evaluation/Review

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

State two reasons for estimation.
Estimate the length of your pen.
Give one example each of estimating capacity, mass, and time.
Estimate the sum of 487 and 216.
Pupils’ Activity: Pupils answer the questions orally and in writing.
Learning Point: Pupils demonstrate understanding of estimation.

Step 7: Conclusion

Time: 2 minutes
Teaching Skill: Reinforcement
Teacher’s Activity: The teacher summarizes the lesson and encourages pupils to apply estimation in daily life.
Pupils’ Activity: Pupils listen attentively and ask final questions.
Learning Point: Pupils appreciate estimation as an important skill.

Home Task: Solve three new exercises on Estimation. Show each step and check each answer.

Lesson Keywords

Estimation – making a close guess or approximate value.
Approximation – rounding a number to the nearest simple value.
Capacity – the amount a container can hold.
Mass – the measure of the weight of an object.
Dimension – the length, width, or height of an object.

Differentiation

Teacher simplifies examples with smaller numbers for slower learners and assigns more challenging estimation problems for advanced learners.

Note for teachers using this lesson plan

Encourage pupils to estimate before measuring to compare accuracy. Use real-life objects in class for better understanding. Relate estimations to daily experiences like shopping or cooking.