Solve a Problem in More Than One Way

The first solution that works is not always the only—or best—solution. Trying another way can reveal patterns, weaknesses, shortcuts, or better ideas.

1. Understand the Real Problem

Before choosing a method, say what you are actually trying to accomplish and what limits or requirements matter.

2. Try One Reasonable Approach

Sketch, calculate, list, model, organize, test, build, compare, or break the problem into smaller pieces.

3. Force a Second Path

Ask:

• Could I represent this differently?
• Could I work backward?
• Could I make a model?
• Could I change one assumption?
• Could I combine two ideas?
• How might someone else approach it?

4. Compare the Approaches

Which was faster? Clearer? More accurate? Easier to explain? More creative? Better under the actual constraints?

Try It

Your class needs to move 30 books from one room to another without dropping or damaging them. Come up with three different approaches. What are the strengths and weaknesses of each?

💡 Funky Tip

“It worked” is one kind of evidence. “I compared it with another approach and understand why it worked” is stronger thinking.

I am smart.

Flexible thinkers can change representations, strategies, and assumptions when the problem calls for it.

🎒 Take It With You

Solve → solve another way → compare → choose with a reason.