Class: Senior Secondary School 1 (SS1, SS 1, SSS1, SSS 1)
Term: 3rd Term
Week: 7
Age: 15 years
Duration: 45 minutes
Subject: General Mathematics
Curriculum Theme: General Mathematics
Previous Lesson: Trigonometry.
Topic: STATISTICS
Subject Matter: Revision on collection, tabulation and presentation of data, Construction of frequency tables, Bar charts and histograms, and difference between bar chart and histogram.

Specific Objectives

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

Cognitive Domain:

Define data and state ways to collect them.
Explain the meaning of tabulation and data presentation.
Differentiate between a bar chart and a histogram.
List the steps involved in constructing frequency tables, bar charts, and histograms.

Affective Domain:

Appreciate the importance of organizing and presenting data clearly.
Show interest in analyzing real-life data.

Psychomotor Domain:

Collect simple data from their environment.
Tabulate collected data into categories.
Construct frequency tables from given data.
Draw bar charts from tabulated data.
Draw histograms from tabulated data.

Collaborate with peers to collect and present data.

Reference Materials

The following resources were used in planning this lesson:

9 Years Basic Education Curriculum for Senior Secondary Schools.
State Unified Scheme of Work for General Mathematics SSS 1.
New General Mathematics for Senior Secondary Schools 1.
https://www.example.com/mathematics_curriculum
https://www.example.com/statistics_resources

Instructional Materials

The teacher will teach this lesson with the aid of:

Ages of students recorded on cardboard.
Prices of goods.
Objects of different kinds (e.g., corks of soft drinks).
Posters containing real life data.
Graph board.
Graph books for pupils.

Rationale for the Lesson

This lesson helps pupils understand how to collect, organize, and display information from their daily lives. Learning statistics enables them to make sense of numbers and facts they encounter, which is useful for understanding many situations around them.

Prerequisite/Previous Knowledge

Pupils have a basic understanding of collecting and grouping items, and some familiarity with simple charts from their Junior Secondary School mathematics lessons.

Lesson Content/Board Summary

STATISTICS: Collection, Tabulation, and Presentation of Data

1. Data Collection and Tabulation

Data refers to a set of facts, figures, or information collected for a specific purpose. Collecting data involves gathering raw information, while tabulation is the process of arranging this raw data into tables or lists in an organized manner.

Ways to collect data include:

Observation
Questionnaires
Interviews
Experiments

2. Forms of Data Presentation

After data has been collected and tabulated, it needs to be presented in a way that is easy to understand and interpret. Common forms of data presentation include:

Frequency Tables
Bar Charts
Histograms
Pie Charts
Line Graphs

3. Frequency Tables

A frequency table is a table that shows the number of times each item or value appears in a set of data. It helps to organize raw data into a more manageable form.

Steps to construct a frequency table:

List all distinct items or values in one column.
Use tally marks to count the occurrences of each item.
Write the total count for each item in a ‘frequency’ column.

4. Bar Charts

A bar chart is a graph that uses rectangular bars to represent data. The length of each bar is proportional to the value it represents. Bar charts are used for discrete data (data that can only take certain values).

Characteristics of a bar chart:

Bars are of uniform width.
There are gaps between the bars.
Bars can be drawn vertically or horizontally.
Each bar represents a distinct category.

Steps to draw a bar chart:

Draw two perpendicular axes (horizontal and vertical).
Label the horizontal axis with the categories of data.
Label the vertical axis with frequency or value.
Choose an appropriate scale for the vertical axis.
Draw bars of uniform width for each category, with gaps between them. The height of each bar corresponds to its frequency.

5. Histograms

A histogram is a graphical representation of data that groups data into continuous ranges (intervals) and then displays the frequency of each range using bars. Histograms are used for continuous data (data that can take any value within a range).

Characteristics of a histogram:

Bars are of uniform width.
There are no gaps between the bars, as the data is continuous.
The area of each bar is proportional to the frequency of the class interval.

Steps to draw a histogram:

Draw two perpendicular axes.
Label the horizontal axis with the class intervals (e.g., ages 10-14, 15-19).
Label the vertical axis with frequency.
Choose an appropriate scale for both axes.
Draw bars for each class interval. The height of each bar corresponds to its frequency, and the bars must touch each other.

6. Differences between Bar Chart and Histogram

The main differences between a bar chart and a histogram are:

Gaps between bars: Bar charts have gaps between bars, while histograms do not.
Type of data: Bar charts are used for discrete or categorical data, while histograms are used for continuous data.
X-axis representation: In bar charts, the x-axis represents distinct categories. In histograms, the x-axis represents continuous class intervals.

Teaching Methods/Instructional Techniques

Discussion, Lecture, Demonstration, Question and Answer, Visual Aids

Instructional Procedures

Step 1: Introduction

Time: 5 minutes
Teaching Skill: Set Induction/Engage
Teacher’s Activity: The teacher greets the pupils and asks them to recall situations where they have seen information presented in pictures or tables, like election results or population figures. The teacher then introduces the topic, “Statistics,” as the study of collecting, organizing, analyzing, interpreting, and presenting data.
Pupils’ Activity: Pupils respond to the teacher’s questions and share their experiences with data presentation. They listen attentively to the introduction.
Learning Point: Pupils are introduced to the concept of statistics and its relevance.

Step 2: Revision on Data Collection and Tabulation

Time: 8 minutes
Teaching Skill: Explanation/Demonstration
Teacher’s Activity: The teacher guides pupils to collect simple data, such as the number of pupils who brought a specific item (e.g., a pen or a cork). The teacher demonstrates how to tabulate this data using tally marks and then converts it into a simple frequency table on the board.
Pupils’ Activity: Pupils actively participate in the data collection exercise and observe how the teacher tabulates the data.
Learning Point: Pupils recall and practice collecting and tabulating data.

Step 3: Presentation of Data – Frequency Tables

Time: 7 minutes
Teaching Skill: Explanation/Practice
Teacher’s Activity: The teacher explains the components of a frequency table (item, tally, frequency) and provides a new dataset (e.g., scores of 20 pupils in a test). The teacher guides pupils to construct a frequency table for this dataset.
Pupils’ Activity: Pupils follow the steps to construct frequency tables in their notebooks.
Learning Point: Pupils learn to construct frequency tables accurately.

Step 4: Construction of Bar Charts

Time: 8 minutes
Teaching Skill: Demonstration/Guidance
Teacher’s Activity: Using the frequency table from Step 3 or another suitable discrete dataset, the teacher explains the characteristics of a bar chart and demonstrates on the graph board how to draw a bar chart, emphasizing uniform bar width and gaps between bars. Pupils are guided to draw their own bar charts.
Pupils’ Activity: Pupils observe the teacher’s demonstration and then draw bar charts in their graph books.
Learning Point: Pupils understand and can construct bar charts.

Step 5: Construction of Histograms

Time: 7 minutes
Teaching Skill: Explanation/Demonstration
Teacher’s Activity: The teacher explains the characteristics of a histogram, highlighting its use for continuous data and the absence of gaps between bars. The teacher provides a dataset with class intervals (e.g., ages of people in a community) and demonstrates how to draw a histogram on the graph board.
Pupils’ Activity: Pupils pay attention to the differences between bar charts and histograms and attempt to draw histograms in their graph books.
Learning Point: Pupils understand and can construct histograms.

Step 6: Differences between Bar Charts and Histograms

Time: 3 minutes
Teaching Skill: Comparative Analysis
Teacher’s Activity: The teacher leads a brief discussion comparing the bar charts and histograms drawn, eliciting the key differences between them regarding gaps, type of data, and axis representation.
Pupils’ Activity: Pupils state the observed differences between the two types of charts.
Learning Point: Pupils can differentiate clearly between bar charts and histograms.

Step 7: Evaluation/Review

Time: 5 minutes

Teaching Skill: Questioning/Assessment

Teacher’s Activity: The teacher evaluates the learning by asking the following questions:

Define data and mention two ways to collect it.
What is a frequency table?
List two differences between a bar chart and a histogram.
Given a simple set of discrete data, construct a frequency table and draw a bar chart.

Pupils’ Activity: Pupils answer orally and in writing.

Learning Point: Pupils demonstrate understanding of the lesson.

Step 8: Conclusion

Time: 2 minutes
Teaching Skill: Summarization/Consolidation
Teacher’s Activity: The teacher summarizes the key learning points of the lesson, reiterating the importance of statistics in daily life. The teacher then assigns homework, asking pupils to collect data on the number of siblings of 15 classmates and present it in a frequency table and a bar chart.
Pupils’ Activity: Pupils listen to the summary and copy down the homework.
Learning Point: The lesson is consolidated, and pupils are given an opportunity for practice.

Lesson Keywords

Data – Facts, figures, or information collected for a specific purpose.
Tabulation – Organizing raw data into tables or lists.
Frequency Table – A table showing how often each item appears in a dataset.
Bar Chart – A graph using rectangular bars with gaps to represent discrete data.
Histogram – A graph using rectangular bars without gaps to represent continuous data in class intervals.

Differentiation

For pupils who grasp concepts quickly, the teacher will provide more complex datasets for constructing charts and encourage them to research other forms of data presentation. For pupils who need additional support, the teacher will provide simplified data, offer one-on-one guidance during chart construction, and use pre-drawn axes to ease the drawing process.

Note for teachers using this lesson plan

Ensure pupils have graph books and rulers for practical activities. Encourage active participation in data collection to make the lesson relatable. Emphasize the clear labeling of axes and appropriate scaling for accurate chart representation. Real-life examples from the local environment can enhance understanding.