Mathematics - Junior Secondary 2 - Statistics - Data presentation

Statistics - Data presentation

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TERM: 3RD TERM

WEEK 7

Class: Junior Secondary School 2
Age: 13 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Statistics – Data Presentation
Focus: Collecting Data, Frequency Tables, Pie Charts

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

  1. Collect data from different sources (home, school, church, market, etc.).
  2. Present data in ordered forms and frequency tables.
  3. Plot pie charts and read information from them.
  4. Interpret data to make informed conclusions.

INSTRUCTIONAL TECHNIQUES:
• Question and answer
• Guided demonstration
• Discussion
• Practical exercises (hands-on data collection and analysis)
• Real-life application

INSTRUCTIONAL MATERIALS:
• Graph paper
• Rulers
• Pie chart templates
• Whiteboard and markers
• Example data sets
• Worksheets

 

PERIOD 1 & 2: Collecting Data and Presenting in Ordered Forms
PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Explains the importance of data collection and different sources where data can be gathered (home, school, market, etc.).

Pupils listen, discuss, and share their own experiences of data collection.

Step 2 - Explanation

Demonstrates how to collect data on a specific topic (e.g., favorite fruits, daily activities, etc.). Guides pupils to collect data.

Pupils collect data individually or in groups based on the teacher’s topic (e.g., how many students prefer different fruits).

Step 3 - Ordering Data

Explains how to order data numerically or alphabetically (depending on the data type).

Pupils organize the collected data into an ordered form.

Step 4 - Practice

Uses example data to demonstrate frequency tables.

Pupils practice creating frequency tables with their own collected data.

NOTE ON BOARD:
Example of frequency table:

Fruit

Frequency

Apple

10

Banana

5

Orange

8

Mango

3

EVALUATION (5 exercises):

  1. Collect data on favorite sports from 5 friends.
  2. Organize the data in an ordered form.
  3. Create a frequency table for the collected data.
  4. Compare the frequency of different sports.
  5. Present the findings to the class.

CLASSWORK (5 questions):

  1. Collect data on favorite school subjects from classmates.
  2. Present the data in an ordered form.
  3. Create a frequency table.
  4. Discuss the data in pairs.
  5. Present the frequency table to the class.

ASSIGNMENT (5 tasks):

  1. Collect data on the number of pets owned by your classmates.
  2. Present the data in an ordered list.
  3. Create a frequency table.
  4. Write 3 conclusions based on the data collected.
  5. Discuss why the data collection is useful.

 

PERIOD 3 & 4: Plotting Pie Charts and Interpreting Data
PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 - Introduction

Introduces pie charts and their usefulness in data presentation.

Pupils listen and ask questions.

Step 2 - Explanation

Demonstrates how to plot a pie chart using example data and explains how to calculate angles.

Pupils watch and ask questions for clarity.

Step 3 - Demonstration

Walks pupils through the steps of drawing a pie chart (total = 360 degrees, calculating angle for each section, etc.).

Pupils follow along and begin plotting their own pie charts.

Step 4 - Practice

Guides pupils in plotting pie charts based on the frequency tables from the previous lesson.

Pupils plot pie charts in groups, based on their data.

NOTE ON BOARD:
Formula for calculating angle:
Angle=(FrequencyTotal/Frequency)×360∘

Example of Pie Chart calculation:

  • Total frequency = 50 (e.g., 10+5+8+3)
  • Apple angle = (10/50) × 360 = 72°
  • Banana angle = (5/50) × 360 = 36°
  • Orange angle = (8/50) × 360 = 57.6°
  • Mango angle = (3/50) × 360 = 21.6°

EVALUATION (5 exercises):

  1. Create a pie chart based on a frequency table you have collected.
  2. Write the angles for each section of your pie chart.
  3. Label the sections of your pie chart correctly.
  4. Calculate the percentage representation of each section in the pie chart.
  5. Compare the pie charts created by different groups.

CLASSWORK (5 questions):

  1. Plot a pie chart for the data: {10, 5, 8, 3}
  2. Calculate the angle for each section in your pie chart.
  3. Interpret the pie chart: which section is the largest?
  4. Calculate the percentage for each section.
  5. Present your pie chart to the class.

ASSIGNMENT (5 tasks):

  1. Collect data on the number of hours you spend on different activities each day (e.g., schoolwork, games, eating, sleeping).
  2. Present the data in a frequency table.
  3. Plot a pie chart for the data.
  4. Write a paragraph interpreting the pie chart.

Discuss the usefulness of pie charts in understanding data.