Investigation 6: Displaying Data Using Graphs, Activity Displaying Information on Graphs
Displaying data using graphs is a Grade 4 investigation in Saxon Math Intermediate 4 (Chapter 6). Students learn when to use each graph type: pictographs for simple visual comparisons, bar graphs for comparing categories, line graphs for showing change over time, and circle graphs (pie charts) for showing parts of a whole. A class survey of 100 students on favorite sports (Soccer 40, Basketball 30, Baseball 20, Other 10) is best shown as a circle graph since it shows each sport's percentage of the total.
Key Concepts
New Concept The four types of graphs we will study are pictographs , bar graphs , line graphs , and circle graphs .
Why it matters Mastering graphs transforms you from just a calculator of numbers into a storyteller who can reveal hidden patterns and trends in data. This skill is fundamental not just in advanced math but in every scientific and economic field where making sense of complex information is critical for success.
What’s next Next, you’ll analyze examples of each graph type and then practice creating your own to display different sets of data.
Common Questions
When should you use a bar graph versus a line graph?
Bar graphs compare amounts between categories (favorite ice cream flavors, most popular pets). Line graphs show how data changes over time (height measured each year, temperature by month).
When is a circle graph (pie chart) the best choice?
When you want to show parts of a whole — how each category contributes to 100% of a total. A survey of favorite sports in a class of 100 students is best shown as a circle graph.
What is the purpose of a pictograph?
Pictographs use pictures or symbols to represent data, making it easy and fun to read for simple comparisons. Each picture represents a set number of items.
Can you use a line graph to compare sports preferences?
No. Line graphs show change over time. Comparing categories like sports preferences requires a bar graph or circle graph. Using the wrong graph type misrepresents the data.
How do you choose the right graph for your data?
Ask: Am I comparing categories (bar), showing change over time (line), showing parts of a whole (circle), or displaying simple picture data (pictograph)?