Problem Solving Strategies
How to approach and solve word problems
lessons (2)
How to Approach Word Problems
Learn a step-by-step strategy to solve any math word problem with confidence.
Translating Words to Equations
Learn to convert word problems into algebraic equations you can solve.
Problem-solving strategies provide systematic approaches to tackle mathematical word problems. Rather than guessing or feeling overwhelmed, students learn to read carefully, identify key information, choose appropriate operations, solve step-by-step, and verify their answers. These strategies transform intimidating word problems into manageable challenges.
The problem-solving process typically includes: understanding the problem (what is asked?), devising a plan (what approach?), carrying out the plan (do the math), and looking back (does the answer make sense?). Mastering these strategies builds confidence and prepares students for real-world mathematical reasoning.
What Students Will Learn
- Identify key information in word problems
- Translate words into mathematical expressions
- Choose appropriate operations and strategies
- Solve multi-step problems systematically
- Check answers for reasonableness
Frequently Asked Questions
How do I know which operation to use?
Look for keywords: add (total, sum, altogether), subtract (difference, left, remaining), multiply (each, per, times), divide (share, split, per group). But always think about what the problem is really asking.
What if I do not know where to start?
Draw a picture or diagram, make a table, try simpler numbers first, or work backwards from the answer. Sometimes restating the problem in your own words helps clarify what is needed.
How do I check if my answer is reasonable?
Estimate before solving, then compare. Ask if the answer makes sense in context - if you are finding how many people, is it a whole number? If finding a price, is it realistic?