Mathematics - Junior Secondary 1 - Estimation

Estimation

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TERM: 1ST TERM

WEEK 9

Class: Junior Secondary School 1
Age: 12 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Estimation
Focus: Concept of Estimation, Dimensions, and Distance

SPECIFIC OBJECTIVES:

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

  1. Explain the concept and importance of estimation.
  2. Identify when and why estimation is used.
  3. Estimate lengths, heights, widths, and distances.
  4. Compare estimated values with actual measurements.
  5. Use estimation in real-life examples (e.g., guessing room sizes, road distances).

 

INSTRUCTIONAL TECHNIQUES:

  • Class discussion
  • Demonstration
  • Guided practice
  • Pair and group activities
  • Real-life application

 

INSTRUCTIONAL MATERIALS:

  • Measuring tapes
  • Rulers
  • Charts with examples
  • Objects of various sizes
  • Worksheet with real-world estimation tasks
  • Whiteboard and marker

 

PERIOD 1 & 2: Concept of Estimation and Its Importance

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 – Introduction

Defines estimation and asks where pupils have used it before.

Pupils respond and give examples.

Step 2 – Explanation

Explains the reasons: speed, practicality, no tools available, etc.

Pupils listen and take notes.

Step 3 – Demonstration

Gives examples: estimating number of pupils in class, cost of groceries.

Pupils try their own examples.

Step 4 – Note Taking

Teacher writes summary on board.

Pupils copy notes.

NOTE ON BOARD:

  • Estimation means giving an approximate value.
  • It is useful when exact numbers are not needed or not available.
  • Common in daily life: shopping, measuring, planning.

EVALUATION (5 questions):

  1. What is estimation?
  2. State one reason why estimation is useful.
  3. Give an example of estimation in real life.
  4. Why do we estimate instead of measuring?
  5. Mention three things that can be estimated.

CLASSWORK (5 questions):

  1. Define estimation.
  2. List 3 areas of life where estimation is used.
  3. Explain why estimation is important in travel.
  4. Estimate the cost of your lunch.
  5. Estimate the number of chairs in your class.

ASSIGNMENT (5 tasks):

  1. Estimate the number of books in your school bag.
  2. Estimate the cost of three items at home.
  3. Estimate how many steps it takes from your classroom to the gate.
  4. Write 2 differences between estimation and measurement.
  5. Interview someone on when they last used estimation.

 

PERIOD 3 & 4: Estimation of Dimensions and Distance

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 – Introduction

Recalls meaning of estimation.

Pupils respond.

Step 2 – Explanation

Demonstrates how to estimate length, height, and width using familiar items.

Pupils observe and ask questions.

Step 3 – Activity

Groups estimate classroom length, their height, blackboard width.

Pupils participate actively.

Step 4 – Note Taking

Summary of estimation methods written.

Pupils copy notes.

NOTE ON BOARD:

  • Estimate length by comparing with known object (e.g., ruler, desk).
  • Estimate distance by pace count or using familiar distance (e.g., 100 meters track).

EVALUATION (5 questions):

  1. Estimate the height of your desk.
  2. Estimate the distance from your class to the staff room.
  3. Estimate the width of your school gate.
  4. What object can help estimate 1 meter?
  5. How do you estimate the length of a rope?

CLASSWORK (5 questions):

  1. Estimate your own height.
  2. Estimate the size of your mathematics textbook.
  3. Estimate how wide your desk is.
  4. Compare your estimate with an actual measurement.
  5. Which was more accurate—your estimate or the measurement?

ASSIGNMENT (5 tasks):

  1. Estimate the size of 3 objects at home.
  2. Write down how you estimated each one.
  3. Measure and record the actual sizes.
  4. Find the difference between estimate and measurement.
  5. Write a short report on what you learnt about estimation.

 

PERIOD 5: Estimation in Real-Life Contexts

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 – Introduction

Revises the week's lessons.

Pupils participate.

Step 2 – Real-Life Application

Gives scenarios (e.g., distance from Enugu to Lagos).

Pupils estimate and discuss.

Step 3 – Class Activity

Pupils bring up items to estimate dimensions.

Pupils participate actively.

EVALUATION (5 questions):

  1. Estimate the time to walk from home to school.
  2. Estimate the distance between two trees in the school.
  3. Estimate the width of your classroom.
  4. Estimate the number of words on a textbook page.
  5. Estimate the cost of lunch for 3 students.

CLASSWORK (5 tasks):

  1. Estimate the number of steps in your staircase.
  2. Estimate the size of your shoes.
  3. Estimate the number of tiles on the classroom floor.
  4. Estimate the distance from your seat to the board.
  5. Estimate the number of fans in your school building.

ASSIGNMENT (5 tasks):

  1. Estimate 3 things at home.
  2. Ask someone else to estimate the same things.
  3. Compare your answers.
  4. Measure and write down the actual values.

Write which estimates were closest to the real values.