Critical Analysis
📋 What it is
Checking a fraction answer for sense: estimate first, and ask whether the result should be bigger or smaller.
🗣️ Coach says
Smart mathematicians check before they trust. Estimate with benchmarks (is it near 0, ½, or 1?), and ask “should this get bigger or smaller?” If you multiplied two fractions under 1 and got a bigger number, something’s wrong.
🧠 Memory hook
Estimate first, then compute. Does the size of the answer make sense?
😂 Giggle
What do you call a fraction that won't stop talking about itself?
A proper show-off — but at least it's less than one!
😲 Whoa!
Estimating with ½ as a benchmark catches most fraction errors instantly — if two fractions are both near ½, their sum should be near 1.
✅ Quick check: You add 3/8 + 4/9 and get 7/17. A quick estimate says both are near ½. Is 7/17 sensible?
Say your answer out loud first — then reveal.
No — both are near ½, so the sum should be near 1, not under ½; 7/17 signals the classic “added the bottoms” error.
Benchmark estimation flags answers that are the wrong size.
🧪 Try it! (2 minutes)
Before solving 5/6 + 7/8, estimate: both are near 1, so the answer should be near 2. Then solve and check your estimate.