Lesson Notes By Weeks and Term v5 - Grade 4

Lesson Video

This page supports the lesson note with a companion video and a short classroom-ready summary.

For class groups and homework, share this lesson page so learners also get the summary, objectives, and full lesson context.

Performance objectives

• Collect data using surveys.
• Organize data with tally marks and frequency tables.
• Show data using pictographs with a key.
• Show data using bar graphs with labels.
• Answer questions using data from graphs.

Lesson summary

Data handling is all about collecting information, organizing it, and then showing it in a way that's easy to understand. We use data every day, often without even realizing it. For example, when deciding what to wear to school, you're using data (the weather forecast, what you wore yesterday, what your friends are wearing). Shops use data to decide which products to stock, farmers use data to decide when to plant crops, and even sports teams use data to improve their performance. In South Africa, understanding data is crucial for making informed decisions about things like resource allocation, social programs, and environmental protection.

Lesson notes

2.1 What is Data? Data is simply information. It can be anything from the colour of cars in a parking lot to the number of learners who prefer pap and vleis over kota for lunch. We collect data to learn more about the world around us and to make informed decisions. 2.2 Collecting Data The first step in data handling is collecting the data. We can do this in many ways, such as: Surveys: Asking people questions and recording their answers.

Observations: Watching what happens and noting the details.

Experiments: Carrying out tests and recording the results.

Example: Imagine we want to find out what is the most popular sport among Grade 4 learners. We could conduct a survey. We could write the names of popular sports like Soccer, Netball, Rugby, Cricket, and Athletics on a piece of paper and ask each learner to choose their favourite. 2.3 Organizing Data: Tally Marks and Frequency Tables Once we've collected our data, we need to organize it so that it's easier to understand.

Two common ways to do this are: Tally Marks: Using short lines to represent each piece of data. Every five tally marks are grouped together to make counting easier (|||| becomes |||| ).

Frequency Tables: A table that shows how many times each piece of data occurs.

Example: Let's say we surveyed 20 Grade 4 learners about their favourite fruit and got these results: Apple, Banana, Apple, Orange, Banana, Apple, Mango, Banana, Apple, Orange, Apple, Banana, Mango, Apple, Banana, Orange, Apple, Banana, Apple, Mango. We can organize this data using tally marks and a frequency table: | Fruit | Tally Marks | Frequency | | -------- | ----------- | --------- | | Apple | |||| |||| | 8 | | Banana | |||| | 6 | | Orange | ||| | 3 | | Mango | ||| | 3 | The frequency tells us how many learners chose each fruit. 2.4 Representing Data: Pictographs A pictograph uses pictures or symbols to represent data. Each picture represents a certain number of items. It's important to have a key that tells you what each picture represents.

Example: Using the fruit data from above, we can create a pictograph. Let's say one picture of a fruit represents 2 learners. | Fruit | Pictograph | | -------- | ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | | Apple | 🍎🍎🍎🍎 | | Banana | 🍌🍌🍌 | | Orange | 🍊🍊⦠ (Where ⦠ represents half a fruit, meaning 1 learner) | | Mango | 🥭🥭⦠ (Where ⦠ represents half a fruit, meaning 1 learner) | Key: 🍎 = 2 learners, 🍌 = 2 learners, 🍊 = 2 learners, 🥭 = 2 learners 2.5 Representing Data: Bar Graphs A bar graph uses bars of different lengths to represent data. The length of each bar corresponds to the frequency of that data item. Bar graphs must have labelled axes. One axis (usually the horizontal one) shows the categories, and the other axis (usually the vertical one) shows the frequency.

Example: Using the same fruit data, we can create a bar graph. The horizontal axis will show the fruits (Apple, Banana, Orange, Mango), and the vertical axis will show the number of learners. We need to choose a suitable scale for the vertical axis. In this case, a scale of 1 learner per unit would work well. [Imagine a simple bar graph here with four bars representing Apple (8), Banana (6), Orange (3), and Mango (3). The y-axis is labelled "Number of Learners" and goes from 0 to

9. The x-axis is labelled "Fruit" and has the four fruit types listed.] Important Considerations for Bar Graphs: Scale: The scale on the vertical axis must be consistent.

Labels: Both axes must be clearly labelled.

Title: The bar graph should have a title that tells you what it is about. 2.6 Interpreting Data Once we have represented the data, we can interpret it. This means reading the graph or table and understanding what the data tells us.

Example: Looking at the fruit data, we can see that apples are the most popular fruit among Grade 4 learners. Oranges and Mangoes are equally liked, but less popular than Apples and Bananas. Guided Practice (With Solutions)

Question 1: A Grade 4 class counted the number of cars of each colour that passed by the school gate in 10 minutes.

They saw: Red (5), Blue (8), White (12), Black (3), Silver (7). Create a frequency table to organize this data.

Solution: | Car Colour | Frequency | | ---------- | --------- | | Red | 5 | | Blue | 8 | | White | 12 | | Black | 3 | | Silver | 7 |

Commentary: This question focuses on organizing data into a simple frequency table, reinforcing LO

2. Question 2: Use the following data to create a pictograph showing the number of pets owned by learners in a Grade 4 class: Dogs (10), Cats (8), Birds (4), Fish (6). Let one picture of a pet represent 2 pets.