Picture Graphs Formula
Picture graphs are a way of displaying data using pictures or icons, where each picture represents one unit (or a set number of units), and the total for.
The Formula
When to use: Imagine voting for your favorite fruit by placing a sticker in a column. When you're done, the column with the most stickers is the winner—you can see the answer at a glance.
Quick Example
Notation
What This Formula Means
A way of displaying data using pictures or icons, where each picture represents one unit (or a set number of units), and the total for each category is found by counting or multiplying the number of pictures by the scale value.
Imagine voting for your favorite fruit by placing a sticker in a column. When you're done, the column with the most stickers is the winner—you can see the answer at a glance.
Formal View
Worked Examples
Example 1
easyAnswer
First step
Full solution
- 2 Find the difference: .
- 3 There are 2 more dogs than cats.
Example 2
mediumExample 3
easyCommon Mistakes
- Ignoring the key and counting icons as 1 - multiply the picture count by the key's value per icon.
- Missing half icons - a half icon counts as half the key value (e.g., half of 2 is 1).
- Comparing categories without applying the key to each - apply the scale to every row before comparing.
Why This Formula Matters
It introduces the idea that one symbol can stand for many — the scale/key — which is the same scaling logic as bar-graph axes and, later, map scales and units. Students who ignore the key and count icons as one each read every scaled graph wrong. Recognizing it by "Are categories shown as icons with a key telling each icon's value?" — rather than by familiar numbers — is what lets a student tell it apart from bar graphs and tally charts and counting (icons as 1) in a mixed problem set.
Frequently Asked Questions
What is the Picture Graphs formula?
A way of displaying data using pictures or icons, where each picture represents one unit (or a set number of units), and the total for each category is found by counting or multiplying the number of pictures by the scale value.
How do you use the Picture Graphs formula?
Imagine voting for your favorite fruit by placing a sticker in a column. When you're done, the column with the most stickers is the winner—you can see the answer at a glance.
What do the symbols mean in the Picture Graphs formula?
A key (or legend) shows what each picture represents, e.g., ' = 2 votes' means each star icon stands for 2 units
Why is the Picture Graphs formula important in Math?
It introduces the idea that one symbol can stand for many — the scale/key — which is the same scaling logic as bar-graph axes and, later, map scales and units. Students who ignore the key and count icons as one each read every scaled graph wrong. Recognizing it by "Are categories shown as icons with a key telling each icon's value?" — rather than by familiar numbers — is what lets a student tell it apart from bar graphs and tally charts and counting (icons as 1) in a mixed problem set.
What do students get wrong about Picture Graphs?
The procedure for picture graphs is the easy part; the trap is ignoring the key and counting icons as 1. Asking "Are categories shown as icons with a key telling each icon's value?" first is what keeps a correct-looking calculation from being attached to the wrong concept.
What should I learn before the Picture Graphs formula?
Before studying the Picture Graphs formula, you should understand: counting.