Grade 4Math

Pictographs

A pictograph is a type of data display that uses symbols or pictures to represent quantities, with a legend (key) telling how many items each symbol stands for. In 4th grade math with Saxon Math Intermediate 4, Chapter 6, students read and interpret pictographs by multiplying the number of symbols in a row by the key value to find the total. Pictographs make data visual and engaging, and they introduce the concept of scale in data representation — a skill that extends to bar graphs, line graphs, and more complex charts in later grades.

Key Concepts

Property A pictograph uses pictures to display information. A legend, or key, tells what the symbols on the graph stand for, for example, ⚪ represents the choice of 2 students.

Example If 🥤 represents 2 votes, then 🥤🥤🥤🥤 means $4 \times 2 = 8$ students voted for juice. If a key says 🍎 = 10 apples sold, a row with 🍎🍎🍎 shows $3 \times 10 = 30$ apples were sold. To show 15 votes where each ⚪ = 5 votes, you would draw three symbols: ⚪⚪⚪, since $15 \div 5 = 3$.

Explanation These graphs tell a story with pictures! Each symbol stands for a certain number of items. Just count the symbols and use the key to find the real total. It’s data with personality!

Common Questions

What is a pictograph in math?

A pictograph is a graph that uses pictures or symbols to represent data. Each symbol stands for a set number of items, shown in the legend or key. To read the total, multiply the number of symbols by the key value.

How do you read a pictograph?

Find the row or category you want to know about, count the symbols, then multiply by the number each symbol represents according to the key. For example, if each star = 5 and there are 4 stars, the total is 4 x 5 = 20.

How do you show a number that is less than one full symbol in a pictograph?

Use a partial symbol — typically half of the image — to represent half the key value. For example, if a symbol = 10, a half symbol = 5.

What is the legend (key) on a pictograph?

The legend or key tells you what value each symbol represents in the graph. For instance, a key might say: one apple symbol = 10 apples sold. Without the key, you cannot interpret the data.

When do 4th graders learn to read pictographs?

In Saxon Math Intermediate 4, pictographs appear in Chapter 6, Lessons 51-60, as part of a unit on data displays. Students practice both reading existing pictographs and creating their own.

How are pictographs different from bar graphs?

A pictograph uses symbols scaled by a key, while a bar graph uses the length of bars measured against a numerical axis. Bar graphs are more precise for larger numbers; pictographs are more visually engaging for simpler data.