Using pictures and symbols to represent data and solve problems.
If you had to show a friend that 100 people love pizza, would you draw 100 tiny pizzas, or is there a faster 'secret' way to show that big number using just a few pictures?
A pictograph is a special chart that uses pictures or symbols to represent data. The most important part of a pictograph is the key. The key tells you what each picture stands for. In many graphs, one picture doesn't just mean '1'; it might represent , , or even items! This is called scaling. To find the total for a category, you count the number of symbols and multiply by the value in the key. For example, if the key says , and you see stars, you have points.
Imagine a graph showing how many cookies were eaten. 1. Look at the Key: . 2. Look at the row for 'Sam'. It has cookie pictures. 3. Calculate the total: . 4. Sam ate cookies.
Quick Check
If a pictograph key says 1 pencil = 10 students, how many students are represented by 5 pencils?
Answer
50 students
Once you can read the totals, you can compare different groups. We often ask 'how many more' or 'how many fewer' one group has compared to another. To solve these, find the total for both groups first, then use subtraction. If Group A has and Group B has , you calculate . You can also compare the symbols directly if they have the same value. If Group A has more symbols than Group B, and each symbol is worth , then Group A has more items.
The key says . - Class A has symbols: books. - Class B has symbols: books. - To find how many more Class A read: books. - Class A read more books than Class B.
Quick Check
If Class X has 3 symbols and Class Y has 5 symbols, and each symbol = 2, how many more items does Class Y have?
Answer
4 items
When you make your own pictograph, you have to choose a scale for your key. If you have large numbers like , using a scale of would take too long to draw! Instead, you might choose . Always remember to give your graph a title so people know what they are looking at, and label each row clearly. Make sure your symbols are the same size and lined up neatly so it is easy to compare them at a glance.
You have data: Dogs = 12, Cats = 8, Fish = 4. 1. Choose a scale: Since all numbers can be divided by 4, let . 2. Draw Dogs: circles. 3. Draw Cats: circles. 4. Draw Fish: circle. 5. Your graph now clearly shows Dogs are the most popular using only 6 total circles!
If , how many apples are represented by symbols?
A graph shows Blue Team has 5 stars and Red Team has 3 stars. The key is . How many more points does Blue Team have?
In a pictograph, every symbol must always represent exactly 1 item.
Review Tomorrow
In 24 hours, try to explain to someone what a 'key' does in a pictograph and why we use it.
Practice Activity
Look at a box of crayons or a pile of coins. Group them by color or type, and draw a quick pictograph where 1 symbol equals 2 items.