Lesson Notes By Weeks and Term v5 - Grade 4

Lesson Video

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Performance objectives

• Collect and organise data using tally marks.
• Represent data using bar graphs.
• Represent data using pictograms.
• Interpret data to answer questions.

Lesson summary

Data handling is a crucial skill in mathematics and everyday life. It involves collecting, organising, and representing information in a way that's easy to understand. This is important because it helps us make informed decisions about things around us. Imagine you want to know which is the most popular flavour of Simba chips at your school tuck shop. Data handling helps you find out! Or, you might want to know what the most common type of tree is in your neighbourhood so you can appreciate the local environment. Data handling gives us the tools to answer these questions and many more.

Lesson notes

2. 1. What is Data? Data is simply information. It can be numbers, words, colours, or anything that can be collected and organized. For example, the number of learners in your class, the colours of cars in the parking lot, or the types of fruits sold at a local market are all examples of data. 2.

2. Collecting Data One of the simplest ways to collect data is by using tally marks. Each tally mark represents one item. We usually group them in sets of five to make counting easier.

For example: |||| represents 4 items |||| represents 5 items Let's say you want to find out which is the most popular sport in your class. You could ask each learner to tell you their favourite sport and then use tally marks to record their answers.

Example: Learner's Favourite Sport: Football: Netball: Rugby: Athletics: 2.

3. Organizing Data: Tally Tables and Frequency Tables Once you have collected your data, you need to organize it. A tally table is a table that uses tally marks to show how many times each item appears in your data. A frequency table uses numbers instead of tally marks.

Example: Let's say you surveyed 20 learners about their favourite fruit.

Here are the results using tally marks: Apples: |||| ||| Bananas: |||| |||| | Oranges: |||| || Grapes: |||| Now, we can create a frequency table from the tally table: | Fruit | Tally Marks | Frequency | | -------- | ----------- | --------- | | Apples | |||| ||| | 8 | | Bananas | |||| |||| | | 11 | | Oranges | |||| || | 7 | | Grapes | |||| | 5 | 2.

4. Representing Data: Bar Graphs A bar graph is a way of showing data using bars of different lengths. The length of each bar represents the frequency of that item.

Key parts of a bar graph: Title: Tells you what the graph is about.

Axes: The horizontal line (x-axis) and the vertical line (y-axis).

Labels: Words that tell you what each axis represents. For example, the x-axis might show the different types of fruits, and the y-axis might show the number of learners who like each fruit.

Scale: The numbers on the y-axis that show the frequency. The scale must be consistent (e.g., going up in 1s, 2s, 5s, or 10s).

Bars: Rectangles representing the data.

Example: Using the fruit data from above, we can create a bar graph: (Imagine a bar graph here with the following characteristics.

X axis: Apples, Bananas, Oranges, Grapes.

Y axis: Numbers 0-12, going up in 1's. The corresponding bars would have these heights: Apples - 8, Bananas - 11, Oranges - 7, Grapes - 5.)

Title: Favourite Fruits of Grade 4 Learners X-axis: Fruits (Apples, Bananas, Oranges, Grapes)

Y-axis: Number of Learners Scale: 0-12, going up in 1s. 2.

5. Representing Data: Pictograms A pictogram is a way of showing data using pictures or symbols. Each picture represents a certain number of items.

Key parts of a pictogram: Title: Tells you what the graph is about.

Labels: Words that tell you what each row represents. For example, the rows might show the different types of animals.

Key: Tells you what each picture or symbol represents. For example, one sun might represent 2 learners.

Pictures/Symbols: Used to represent the data.

Example: Let's say you want to show the number of sunny days in each month using a pictogram.

Key: ☀️ = 2 sunny days | Month | Sunny Days | | -------- | ---------- | | January | ☀️☀️☀️☀️ | | February | ☀️☀️☀️ | | March | ☀️☀️☀️☀️☀️ | In this example, January had 8 sunny days (4 x 2 = 8), February had 6 sunny days (3 x 2 = 6), and March had 10 sunny days (5 x 2 = 10). 2.

6. Interpreting Data Interpreting data means reading and understanding the information presented in a graph or table. For example, you can look at a bar graph and tell which item has the highest frequency or the lowest frequency. You can also answer questions about the data, such as "How many more learners like bananas than apples?" (From our example: 11 - 8 = 3 more learners like bananas than apples). When reading a pictogram, remember to use the key to determine the value represented by each picture or symbol. Guided Practice (With Solutions)

Question 1: The Grade 4 learners at Thandi Primary School collected data on their favourite colours.

Here are the results: Red: |||| || Blue: |||| |||| Green: |||| | Yellow: |||| |||| | a) Create a frequency table to show this data. b) Which colour is the most popular? c) Which colour is the least popular?

Solution: a)

Frequency Table: | Colour | Tally Marks | Frequency | | ------ | ----------- | --------- | | Red | |||| || | 7 | | Blue | |||| |||| | 10 | | Green | |||| | | 6 | | Yellow | |||| |||| | | 11 | b) The most popular colour is Yellow (11). c) The least popular colour is Green (6).

Question 2: Use the frequency table from Question 1 to draw a bar graph. Remember to include a title, labels, and a scale.

Solution: (Imagine a bar graph here with the following characteristics.

X axis: Red, Blue, Green, Yellow.

Y axis: Numbers 0-12, going up in 1's.