Lesson Notes By Weeks and Term v5 - Grade 3

Lesson Video

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Performance objectives

• Collect and organize data using tally charts.
• Represent data in pictographs and bar graphs.
• Answer questions about charts and graphs.
• Find the most and least popular items in a data set.

Lesson summary

Data handling is a crucial skill that helps us understand the world around us. In South Africa, we constantly encounter information presented in various forms, from weather reports on the TV to counting votes in elections. Learning how to collect, organize, and interpret data empowers us to make informed decisions and understand trends in our communities. This week, we will focus on reviewing key data handling concepts in preparation for tests and exams. We will revisit collecting data, tally charts, pictographs, and bar graphs, ensuring a solid foundation for future mathematical explorations.

Lesson notes

What is Data Handling? Data handling is the process of collecting, organizing, representing, and interpreting information. Think of it like being a detective – you gather clues (data), organize them (put them in charts and graphs), and then use those clues to solve a mystery (answer questions).

Collecting Data: Data collection is the first step. We gather information about something.

We can do this by: Surveys: Asking people questions and writing down their answers.

Observation: Watching things and counting how many times something happens.

Example: Imagine you want to know the favourite fruit of your classmates. You can ask each of them what their favourite fruit is and write down their answers. This is collecting data using a survey.

Tally Charts: A tally chart is a way to organize data using tally marks. Each tally mark represents one piece of data. We usually group the tally marks in sets of five to make counting easier.

Example: Let's say you surveyed 10 classmates about their favourite fruit, and you got the following answers: Apple: 3 Banana: 5 Orange: 2 You would represent this in a tally chart like this: | Fruit | Tally Marks | Number | | :------ | :---------- | :----- | | Apple | III | 3 | | Banana | HII | 5 | | Orange | II | 2 | The symbol HII represents

5. 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 stands for.

Example: Using the same fruit data, let's create a pictograph where each picture of a fruit represents 1 piece of fruit. | Fruit | Pictograph | | :------ | :------------------------------------------- | | Apple | 🍎🍎🍎 | | Banana | 🍌🍌🍌🍌🍌 | | Orange | 🍊🍊 | If we had a key where 1 picture of a fruit represented 2 pieces of fruit, then the pictograph for Apple would be 🍎 🍎 (with a half 🍎 symbol to represent the last one).

Bar Graphs: A bar graph uses bars of different lengths to represent data. The length of each bar corresponds to the number of items in that category.

Example: Again, using the same fruit data, let's create a bar graph. The horizontal axis (x-axis) will list the fruits (Apple, Banana, Orange). The vertical axis (y-axis) will show the number of students (from 0 to 6, since 5 is the highest number we have). We draw a bar for each fruit, with the height of the bar corresponding to the number of students who chose that fruit.

Bar Graph Description: Imagine the following bar graph visually: Apple: Bar height reaches 3 on the y-axis.

Banana: Bar height reaches 5 on the y-axis.

Orange: Bar height reaches 2 on the y-axis.

Interpreting Data: Interpreting data means understanding what the data shows.

We can answer questions like: Which fruit is the most popular? (Banana) Which fruit is the least popular? (Orange) How many more students like bananas than apples? (5 - 3 = 2) Guided Practice (With Solutions)

Question 1: A Grade 3 class recorded the number of sunny, cloudy, and rainy days in one week.

Here's the tally chart: | Weather | Tally Marks | | :------ | :---------- | | Sunny | HII II | | Cloudy | III | | Rainy | II | How many sunny days were there?

Solution: The tally chart shows HII I

I. HII represents 5, and II represents

2. So, there were 5 + 2 = 7 sunny days.

Question 2: The following pictograph shows the number of learners who walk, take the bus, or are driven to school. Each picture of a person represents 2 learners. | Transportation | Pictograph | | :------------- | :-------------------------------------------------------------------------- | | Walk | 🧍🧍🧍🧍 | | Bus | 🧍🧍🧍🧍🧍🧍 | | Driven | 🧍🧍🧍 | How many learners take the bus to school?

Solution: There are 6 pictures of people for the bus. Each picture represents 2 learners, so 6 x 2 = 12 learners take the bus.

Question 3: The following bar graph shows the number of books read by four learners during the holidays. (Visual Description): Imagine a bar graph with the following information: Axis labels: Learners(X), Number of books(Y)

Learner names: Thando, Sipho, Zanele, Aisha Number of books read: Thando (4), Sipho (6), Zanele (2), Aisha (5) Who read the most books? How many books did Zanele read?

Solution: Sipho's bar is the tallest, indicating he read the most books (6 books). Zanele read 2 books as indicated by the bar. Independent Practice (Questions Only) A class voted for their favourite animals.

The results are: Dogs (8), Cats (6), Birds (4), Fish (2). Create a tally chart to represent this data. Using the data from question 1, create a pictograph. Let each picture of an animal represent 1 animal. Draw a bar graph representing the data from question

1. Remember to label your axes. A shop sold different flavours of ice cream. Vanilla (10), Chocolate (15), Strawberry (8), Bubblegum (12). Which flavour was the most popular? Which was the least popular? Look at the following pictograph showing the number of cars passing by your house in one hour. Each car symbol represents 3 cars.