Analogy, Metaphor and Simile
Analogy
A way of thinking about something by comparing it to something else.
- They make new ideas easier to understand
- They connect new concepts to things we already know
Analogies are often used to explain how something works or what its function is.
But be careful!
They are helpful at first, but can be very misleading.
Example: "The internet is like a network of pipes."
Helpful: Shows that information flows through connections.
But does not explain wireless data, how we link to a website, etc.
Metaphor
A way of describing something by calling it something else (without "like" or "as").
- They make abstract ideas feel concrete
- Helps us visualize math concepts quickly
But be careful!
Metaphors can oversimplify or hide important details.
Example: "A variable is a mystery number."
Helpful: Explains variables represent unknown values.
But does not show how variables can change or relate to equations.
Simile
A comparison using "like" or "as" to show similarities.
- Makes descriptions more vivid and memorable
- Great for explaining shapes, sizes, or patterns
But be careful!
Similes can focus on one similarity while ignoring differences.

Example: "Parallel lines are like train tracks."
Helpful: Shows that parallel lines never meet.
But does not explain that parallel lines extend infinitely, or what happens to train tracks at junctions.
Example: "The cloud was as fluffy as a cotton ball"
Summary
Term | Definition | Example |
---|---|---|
Analogy | A comparison to help explain something. | "A fraction is like a part of a whole pizza." |
Metaphor | Direct rename for emphasis | "Math is a toolbox of ideas." |
Simile | Comparison using "like" or "as" | "A ray is like a laser beam: it goes forever in one direction." |