Think Like a Mathematician

Mathematicians look for structure, patterns, relationships, and reasons—not just answers.

The Challenge

A school orders 168 bottles of water and wants to divide them equally among 6 stations. Find the amount per station in at least two different ways.

How a Mathematician Thinks

• Represent: Can I draw, model, write an equation, or break the number apart?
• Look for structure: What patterns or relationships can simplify this?
• Try another way: Does a second method confirm the first?
• Justify: Why does the method make sense?
• Check: Is the answer reasonable?

Your Turn

Solve 168 ÷ 6 using two approaches. Then explain which method you would teach to someone else and why.

What Did You Notice?

Did the two methods reveal the same structure differently? Which one was easier to explain? Which one might be easier with a different number?

💡 Funky Tip

“I got the right answer” is not the end of mathematical thinking. Ask why it works and whether another method helps you see more.

Where Else Could You Use This Thinking?

Budgets, sports statistics, construction, coding, science, cooking, travel, games, and any situation where quantities and patterns matter.

🎒 Take It With You

Represent → notice structure → solve → justify → check.