📊 Part 1: Understanding Data Representation Types

1. Match each data representation type with its best use:

1. Bar Graph

2. Pie Chart

3. Line Graph

4. Dot Plot

5. Frequency Table

A. Shows how data changes over time

B. Shows parts of a whole

C. Compares different categories

D. Shows individual data points clearly

E. Lists data in organised rows and columns

2. Circle the correct answer. Which graph would be BEST to show how temperature changes throughout a day?

Bar graph

Pie chart

Line graph

Dot plot

📈 Part 2: Reading a Bar Graph

Example Bar Graph: Favourite Sports in Year 6

This bar graph shows how many students chose each sport as their favourite. The height of each bar shows the number of students.

Imagine a bar graph here showing: Rugby (8 students), Netball (12 students), Soccer (15 students), Swimming (6 students), Cricket (9 students)

3. Based on the bar graph above, answer these questions:

a) Which sport was the most popular? ____________________

b) How many students chose swimming? ______ students

c) How many more students chose soccer than rugby? ______ students

d) What is the total number of students surveyed? ______ students

4. Why is a bar graph good for showing this type of data?

🥧 Part 3: Understanding Pie Charts

Example Pie Chart: How Students Get to School

This pie chart shows the different ways students travel to school. Each slice represents a percentage of all students.

Imagine a pie chart here showing: Walk (40%), Car (30%), Bus (20%), Bike (10%)

5. Based on the pie chart above:

a) What percentage of students walk to school? ______%

b) Which method of transport is used by the fewest students? ____________________

c) If there are 100 students in the school, how many come by bus? ______ students

6. Check all the reasons why pie charts are useful:

They show parts of a whole

They show changes over time

They show percentages clearly

They help compare individual data points

📉 Part 4: Line Graphs and Trends

Example Line Graph: Temperature in Auckland Over One Week

This line graph shows how the temperature changed each day. The line connects the points to show the trend.

Imagine a line graph showing temperatures: Mon (18°C), Tue (20°C), Wed (22°C), Thu (19°C), Fri (17°C), Sat (16°C), Sun (21°C)

7. Looking at the line graph above:

a) What was the highest temperature during the week? ______°C

b) On which day was it coldest? ____________________

c) Between which two days did the temperature drop the most? __________ to __________

8. Describe the overall temperature trend during this week:

• Part 5: Dot Plots and Frequency Tables

Example: Number of Pets in Each Family

Frequency Table:

This table shows how many families have each number of pets.

Table showing: 0 pets (3 families), 1 pet (8 families), 2 pets (6 families), 3 pets (2 families), 4 pets (1 family)

Dot Plot:

Each dot represents one family. Dots are stacked above the number of pets.

9. Using the data above:

a) How many families have exactly 2 pets? ______ families

b) What is the most common number of pets? ______ pets

c) How many families were surveyed in total? ______ families

10. Which is easier to read quickly - the frequency table or the dot plot? Explain why:

🎯 Part 6: Choosing the Right Representation

11. For each situation below, circle the BEST type of data representation:

a) Showing how many students are in each year level at school:

Bar graph

Pie chart

Line graph

b) Showing how plant height changes over 4 weeks:

Bar graph

Pie chart

Line graph

c) Showing what fraction of the school budget goes to different subjects:

Bar graph

Pie chart

Line graph

12. Create your own example! Think of data you could collect from your classmates and decide how to represent it:

a) What data would you collect? ________________________________________________

b) Which type of graph or table would you use? ________________________________

c) Explain why this representation would work best:

🤔 Part 7: Thinking About Data

13. Look at this statement: "Our class loves maths because 8 out of 10 students said it was their favourite subject."

What questions should you ask about this data to check if it's reliable?

14. Complete this sentence about what you learned today:

The most important thing I learned about data representation is ________________________________ _________________________________________________ because _________________________________ _____________________________________________________________________________.