Lesson Notes By Weeks and Term v3 - Primary 5
Data Presentation
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Data Presentation
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Subject: General Mathematics
Class: Primary 5
Term: 2nd Term
Week: 4
Theme: Everyday Statistics
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Prepare a tally of data Draw bar graphs and pictograms of in for mation colleted locally
Thursday: Bar up to
1
5. Ensure bars are of equal width and equal spacing.
6. Add Title: "Children Attending Health Screening Campaign." (Visual representation for teacher; learners should draw this neatly with a ruler on graph paper or plain paper): ``` Number of Children 21 ^ 18 | ### 15 | ### 12 | ### 9 | ### 6 | ### ### ### 3 | ### ### ### ### 0 +--------------------------------> Day Monday Tuesday Wednesday Thursday Title: Children Attending Health Screening Campaign ```
Commentary: The bar graph correctly uses labelled axes and an appropriate scale for the Y-axis. The bars are of equal width, equally spaced, and accurately reflect the frequencies provided in the table.
Question 1: Tally and Frequency Table A primary school conducted a survey to find out the favourite fruit of 25 students.
The results were: Orange, Mango, Apple, Banana, Mango, Orange, Apple, Banana, Orange, Mango, Apple, Orange, Banana, Mango, Orange, Apple, Banana, Mango, Orange, Apple, Mango, Banana, Orange, Mango, Apple. Prepare a tally of this data and put it in a tabular form.
Solution 1: Step-by-step:
1. List all unique fruits: Orange, Mango, Apple, Banana.
2. Go through the list and make a tally mark for each fruit.
3. Count the tally marks to get the frequency. | Fruit | Tally Marks | Frequency | | :------ | :---------- | :-------- | | Orange | | | | | | | | | 8 | | Mango | | | | | | | | | 7 | | Apple | | | | | | | | 6 | | Banana | | | | | | 4 | | Total | | 25 |
Commentary: This solution demonstrates the correct method for creating tally marks (grouping in fives) and organizing them into a clear frequency table. The total frequency matches the number of students surveyed. --- Question 2: Pictogram The frequency table below shows the number of different types of animals observed at a local farm. | Animal | Frequency | | :----- | :-------- | | Goats | 20 | | Sheep | 15 | | Chickens | 30 | | Ducks | 10 | Draw a pictogram to represent this data.
Solution 2: Step-by-step:
1. Choose a Symbol: A simple animal outline, e.g., 🐐 for goat, 🐑 for sheep, 🐔 for chicken, 🦆 for duck (or a generic animal symbol for all). For simplicity, let's use a generic animal symbol, e.g., 🐾 (paw print), and state its value.
2. Determine Key: The frequencies are 10, 15, 20,
3
0. All are multiples of
5. So, let 1 🐾 symbol represent 5 animals.
3. Calculate Number of Symbols: Goats: 20 / 5 = 4 symbols Sheep: 15 / 5 = 3 symbols Chickens: 30 / 5 = 6 symbols Ducks: 10 / 5 = 2 symbols
4. Draw Pictogram: Animals on the Farm (Each 🐾 represents 5 animals) | Animal | Number of Animals | | :------- | :---------------- | | Goats | 🐾 🐾 🐾 🐾 | | Sheep | 🐾 🐾 🐾 | | Chickens | 🐾 🐾 🐾 🐾 🐾 🐾 | | Ducks | 🐾 🐾 |
Commentary: This pictogram effectively uses a clear symbol and key to visually represent the data. The number of symbols accurately corresponds to the frequencies based on the chosen key. --- Question 3: Bar Graph The table below shows the number of children who attended a free health screening campaign in a community over four days. | Day | Number of Children | | :-------- | :----------------- | | Monday | 12 | | Tuesday | 18 | | Wednesday | 9 | | Thursday | 15 | Draw a bar graph to represent this data.
Solution 3: Step-by-step:
1. Draw Axes: Draw a horizontal (X-axis) and vertical (Y-axis).
2. Label Axes: X-axis: "Day," Y-axis: "Number of Children."
3. Choose Scale for Y-axis: Highest frequency is
1
8. An appropriate scale could be 1 unit = 3 children (0, 3, 6, 9, 12, 15, 18, 21). This covers all values easily.
4. Mark Categories on X-axis: Mark "Monday," "Tuesday," "Wednesday," "Thursday" with equal spacing.
5. Draw Bars: Monday: Bar up to
1
2. Tuesday: Bar up to
1
8. Wednesday: Bar up to
9. Thursday: Bar up to
1
5. Ensure bars are of equal width and equal spacing.
6. Add Title: "Children Attending Health Screening Campaign." (Visual representation for teacher; learners should draw this neatly with a ruler on graph paper or plain paper): ``` Number of Children 21 ^ 18 | ### 15 | ### 12 | ### 9 | ### 6 | ### ### ### 3 | ### ### ### ### 0 +--------------------------------> Day Monday Tuesday Wednesday Thursday Title: Children Attending Health Screening Campaign ```
Commentary: The bar graph correctly uses labelled axes and Data refers to raw facts, figures, or observations collected from a specific source. It can be numbers, words, measurements, or descriptions.
Example: The number of students in a class, the types of fruits sold by a vendor, the colours of cars passing a school. Data presentation is the process of organizing, summarizing, and displaying data in a meaningful and understandable way. This makes it easier to analyze and interpret information.
Community Health & Environment: Learners can collect data on the types of waste generated in their homes or school environment (e.g., plastic, paper, organic waste) over a week. They can tally this data, create a frequency table, and then draw a bar graph or pictogram to show which type of waste is most common. This can lead to discussions on waste management and recycling initiatives in their community.
Local Market Research: Students can visit a local market or tuck shop and observe which specific items are bought most frequently (e.g., different types of bread, local drinks, fruits). They can then tally this informal data, present it in a frequency table, and create a pictogram or bar graph. This helps them understand simple market trends and how businesses might use data to make decisions.
Agriculture and Food Production: In rural areas, students can apply data presentation to local farming activities. For example, a farmer's yield of different crops (maize, cassava, yam, beans) over a planting season could be represented. Students can help collect this data (e.g., by counting baskets or bags), tally it, and present it visually to help the farmer understand their most productive crops.