Mathematics - Junior Secondary 1 - Statistics I

Statistics I

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TERM: 3RD TERM

WEEK 9

Class: Junior Secondary School 1
Age: 12 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Statistics I
Focus: Introduction to Statistics, Data Collection, and Frequency Distribution

SPECIFIC OBJECTIVES:

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

  1. Define statistics and explain its purpose and usefulness.
  2. Identify various sources of data and the importance of accurate data collection.
  3. Collect and categorize data.
  4. Understand frequency distribution and its significance in data analysis.
  5. Present data in frequency distribution tables.

 

INSTRUCTIONAL TECHNIQUES:
• Question and answer
• Guided demonstration
• Discussion
• Data collection activities
• Drills and exercises

INSTRUCTIONAL MATERIALS:
• Whiteboard and marker
• Frequency distribution tables
• Graphing paper
• Sample data sets
• Chart showing examples of data collection methods

 

PERIOD 1 & 2: Introduction to Statistics and Its Usefulness

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Explains the definition of statistics and its purpose in everyday life (e.g., used in government, businesses, etc.).

Pupils listen and ask questions.

Step 2 - Explanation

Discusses the importance of statistics in decision-making and how it is used in different fields.

Pupils engage in discussion and share ideas about statistics.

Step 3 - Demonstration

Provides examples of how statistics are applied, such as in the collection of data on population, school attendance, etc.

Pupils give examples of statistics in their lives.

Step 4 - Note Taking

Writes key points on the board and asks pupils to copy them.

Pupils copy down the information.

NOTE ON BOARD:

  • Statistics: The science of collecting, organizing, analyzing, and interpreting data.
  • Purpose: To make informed decisions and predict future trends.
  • Usefulness: In fields like economics, business, health, and education.

 

EVALUATION (5 exercises):

  1. What is the purpose of statistics?
  2. Name two fields where statistics is used.
  3. What do you understand by data collection?
  4. Why is it important to have accurate data?
  5. Give an example of how statistics is used in everyday life.

CLASSWORK (5 questions):

  1. Write the definition of statistics.
  2. List two purposes of using statistics.
  3. Mention three sources of data.
  4. Explain why statistics is important in business.
  5. How is data used in education?

ASSIGNMENT (5 tasks):

  1. Define statistics in your own words.
  2. List five ways data is collected.
  3. Explain why it's important to have reliable sources when collecting data.
  4. Name two sources of primary data.
  5. Present one example of data collection in a local school setting.

 

PERIOD 3 & 4: Data Collection and Sources

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Explains the different sources of data: primary and secondary.

Pupils listen and take notes.

Step 2 - Explanation

Defines primary and secondary data. Provides examples of both.

Pupils observe and ask questions.

Step 3 - Demonstration

Shows examples of primary data (surveys, interviews) and secondary data (books, online research).

Pupils engage in group discussion on examples of each type.

Step 4 - Practice

Gives pupils data collection scenarios to identify primary and secondary sources.

Pupils categorize the data into primary and secondary.

NOTE ON BOARD:

  • Primary Data: Data collected directly by the researcher (e.g., surveys, interviews).
  • Secondary Data: Data collected by someone else and used for a different purpose (e.g., books, internet sources).

 

EVALUATION (5 exercises):

  1. What is primary data?
  2. Give two examples of secondary data sources.
  3. Why might secondary data be unreliable?
  4. Name one advantage of using primary data.
  5. What type of data would you collect for a survey on school uniforms?

CLASSWORK (5 questions):

  1. List two methods of collecting primary data.
  2. Define secondary data.
  3. Mention one advantage of secondary data.
  4. Why is it important to ensure data collection methods are reliable?
  5. Give an example of primary data in a sports competition.

ASSIGNMENT (5 tasks):

  1. Identify three sources of primary data.
  2. Provide examples of secondary data used in education.
  3. Why is using accurate data important?
  4. Explain how you could collect data on students’ favorite subjects.
  5. Present an example of using secondary data to research a historical event.

 

PERIOD 5: Presentation and Analysis of Data (Frequency Distribution)

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Introduces frequency distribution and its role in organizing large data sets.

Pupils listen and ask questions.

Step 2 - Explanation

Demonstrates how to create a frequency distribution table using sample data.

Pupils observe and ask questions.

Step 3 - Practice

Provides pupils with a set of data to create their own frequency distribution table.

Pupils work in groups to create tables.

Step 4 - Note Taking

Summarizes key points and writes the steps for creating a frequency distribution table.

Pupils take notes.

NOTE ON BOARD:

  • Frequency Distribution: A table that organizes data into intervals and shows how often each interval occurs.
  • Example Data: Age groups of students in a class.

 

EVALUATION (5 exercises):

  1. What is a frequency distribution table?
  2. Why is a frequency distribution table useful?
  3. Create a frequency table for the following ages: 14, 16, 15, 14, 17, 16, 15, 14, 16.
  4. What is the frequency of age 16 in the above data?
  5. How would you categorize ages into groups for a frequency table?

CLASSWORK (5 tasks):

  1. Create a frequency distribution for the following data: 2, 5, 5, 8, 8, 5, 10, 8.
  2. Analyze the frequency distribution of students’ ages in your class.
  3. State the most common value in a given frequency table.
  4. Find the least common value in the data set.
  5. Create a frequency distribution for your favorite sports team’s scores in the last 5 games.

ASSIGNMENT (5 tasks):

  1. Create a frequency distribution for your last 10 test scores.
  2. Identify the mode of the frequency distribution you created.
  3. Find the range of the data you collected.
  4. Write an explanation of how a frequency distribution helps in analyzing data.

Present a word problem that could be solved using a frequency distribution.