Mathematics - Junior Secondary 1 - Graphical presentation of data

Graphical presentation of data

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TERM: 3RD TERM

WEEK 10

Class: Junior Secondary School 1
Age: 12 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Graphical Presentation of Data
Focus: Bar Chart, Pie Chart, and Histogram

SPECIFIC OBJECTIVES:

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

  1. Create and interpret bar charts, pie charts, and histograms.
  2. Identify the key elements of each type of chart.
  3. Apply these charts to represent data visually.
  4. Analyze data from the charts and make inferences.

INSTRUCTIONAL TECHNIQUES:
• Question and answer
• Guided demonstration
• Discussion
• Group work for chart creation
• Data interpretation exercises

INSTRUCTIONAL MATERIALS:
• Graphing paper
• Ruler
• Pre-prepared data sets for charting
• Whiteboard and marker

 

PERIOD 1 & 2: Introduction to Bar Charts and Pie Charts

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Explains what bar charts and pie charts are, and how they are used.

Pupils listen and ask questions.

Step 2 - Explanation

Demonstrates how to construct bar charts and pie charts using sample data.

Pupils observe and practice drawing the charts.

Step 3 - Practice

Pupils are given data to create a bar chart and a pie chart.

Pupils create their charts using the given data.

Step 4 - Note Taking

Teacher writes key points about bar charts and pie charts on the board.

Pupils take notes.

NOTE ON BOARD:

  • Bar Chart: A graphical representation of data using bars. Each bar represents a category.
  • Pie Chart: A circular graph divided into slices to illustrate numerical proportions.

 

EVALUATION (5 exercises):

  1. What is a bar chart?
  2. Draw a bar chart to represent the following data: 4, 6, 8, 10.
  3. What does each slice of a pie chart represent?
  4. Construct a pie chart for the following: 40%, 30%, 20%, 10%.
  5. Which type of chart would you use to compare data across categories?

CLASSWORK (5 tasks):

  1. Draw a pie chart for the following data:

A=50%, B=30%, C=20%.
2. Create a bar chart comparing the number of students in 5 different classes.
3. Write a short description of how to interpret a pie chart.
4. Create a bar chart based on your favorite activities.
5. Create a pie chart showing your family’s daily routines.

ASSIGNMENT (5 tasks):

  1. Draw a bar chart comparing the heights of 5 friends.
  2. Interpret the data from a pie chart showing the population of different states.
  3. Create a pie chart based on your daily time spent on activities.
  4. Construct a bar chart to represent the number of students who like different subjects.
  5. Write a report on the data you represented using a pie chart.

 

PERIOD 3 & 4: Introduction to Histograms

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Defines histograms and explains their use in representing continuous data.

Pupils listen and take notes.

Step 2 - Explanation

Demonstrates how to create a histogram using a sample data set.

Pupils observe and take notes.

Step 3 - Practice

Pupils are given a set of continuous data to represent in a histogram.

Pupils create histograms using graph paper.

Step 4 - Practice

Teacher checks and corrects students’ histograms.

Pupils adjust their histograms as instructed.

NOTE ON BOARD:

  • Histogram: A type of bar chart that shows the frequency distribution of continuous data.

EVALUATION (5 exercises):

  1. What is the difference between a bar chart and a histogram?
  2. How is a histogram different from a pie chart?
  3. Create a histogram for the following data: 4, 8, 12, 16, 20.
  4. How do you decide the range for the intervals in a histogram?
  5. Interpret a histogram representing the ages of students in a class.

CLASSWORK (5 tasks):

  1. Draw a histogram for data on the number of cars passing through a traffic light each day for a week.
  2. Discuss how to read a histogram.
  3. Use a histogram to display temperature data over a week.
  4. Describe how a histogram can be used to study population growth.
  5. Analyze the frequency distribution of test scores using a histogram.

ASSIGNMENT (5 tasks):

  1. Create a histogram to display rainfall data for a month.
  2. Interpret a histogram for data on students' marks.
  3. Explain how histograms help in understanding data patterns.
  4. Draw a histogram for the number of books read by students in a month.

Discuss how histograms can be used in scientific research.