How to Create Math Notes That Actually Help You Score
Most students copy from the board and never look at their notes again. Learn the Cornell Method and 5 note-taking strategies that turn your math notebook into your best revision tool.
How to Create Math Notes That Actually Help You Score
You spent 40 minutes copying everything your teacher wrote on the board. Your notebook looks neat. But when you open it to revise… you have no idea what’s going on. Sound familiar? The problem isn’t your notes — it’s how you’re taking them.
Why Most Math Notes Fail
Here’s a harsh truth: most math notes are useless for revision.
A study from Princeton and UCLA found that students who write notes by passively copying retain significantly less than those who process and reorganise the information. For math, this effect is even stronger because math is about understanding processes, not memorising paragraphs.
The 3 Note-Taking Sins
Copying without thinking
You write exactly what’s on the board but never process why each step happens.
No organisation system
Formulas, examples, and definitions are scattered randomly across pages.
Never reviewing them
The notebook goes into your bag and doesn’t come out until exam week — when it’s too late.
The fix? A structured note-taking system designed specifically for math.
The Cornell Method (Adapted for Math)
The Cornell Method was developed at Cornell University in the 1950s and is still considered one of the most effective note-taking systems. Here’s how to adapt it for Singapore Math.
The Layout
Divide each page into 3 sections:
CUE COLUMN
(Written AFTER class)
- Key formulas
- Trigger questions
- Common mistakes
- ”When do I use this?”
NOTES AREA
(Written DURING class)
- Worked examples with YOUR annotations
- Step-by-step solutions
- Teacher’s explanations in your own words
- Diagrams and visual aids
SUMMARY (Written AFTER class — 2 to 3 sentences)
“Today I learned how to find unknown angles using angle properties. The key idea is that angles on a straight line add up to 180 degrees. I need to watch out for vertically opposite angles — they’re always equal.”
💡 The Magic is in the Cue Column
The cue column transforms your notes from a passive record into an active revision tool. Cover the notes area with a sheet of paper, read the cues, and try to recall the content. This is active recall built right into your notebook.
Cornell Method in Action: Percentage Example
Cornell Notes: P6 Percentage Increase/Decrease
Cues
Formula for % increase?
What does “increased by 20%” mean?
TRAP: “20% of what?”
How to find original?
Notes
% Increase: New = Original + (% x Original)
Shortcut: New = Original x (100% + increase%)
e.g. 20% increase → multiply by 1.2
Example: Price increased by 20% to $240. Find original.
120% → $240
1% → $240 / 120 = $2
100% → $2 x 100 = $200
Warning: The 20% is of the ORIGINAL, not the new price!
Summary: For percentage changes, always find what 100% is first. The percentage is always of the ORIGINAL amount. Use unitary method: find 1%, then find what you need.
5 Strategies for Better Math Notes
Strategy 1: Write the “Why”, Not Just the “What”
Most students write:
Bad Notes
Step 1:
Step 2:
Step 3:
Just the steps. No understanding.
Good Notes
Step 1:
Step 2: KCF → Keep , Change to , Flip to
Step 3: (improper → mixed)
WHY flip? Dividing by a fraction = multiplying by its reciprocal
Includes reasoning. Useful for revision.
When you write the “why”, you’re forcing your brain to process the information — not just copy it. This is what researchers call generative note-taking, and it dramatically improves retention.
💡 The 'Because' Rule
After every step in a worked example, add the word “because…” and write the reason. If you can’t explain why, that’s the exact spot you need to ask your teacher about.
Strategy 2: Use Colour Coding (But Keep It Simple)
Colour coding helps your brain categorise information at a glance. But too many colours creates chaos. Stick to a 3-colour system:
⚠️ The Highlighter Trap
Highlighting everything is the same as highlighting nothing. Research shows that highlighting is one of the least effective study strategies when overused. Use colour deliberately — only for things you need to find quickly.
Strategy 3: Draw Diagrams (Even When It’s Not Required)
Math is visual. Your notes should be too.
For almost every math topic, a quick diagram makes the concept click faster than three paragraphs of text:
| Topic | Quick Diagram |
|---|---|
| Fractions | Bar model showing parts and whole |
| Ratios | Side-by-side bars with units marked |
| Angles | Sketch with angle labels |
| Speed/Distance/Time | SDT triangle |
| Percentage | 100% bar with shaded portion |
| Volume | 3D box with dimensions labeled |
| Trigonometry | Right triangle with O, A, H marked |
You don’t need to be an artist. A rough sketch with labels is far more useful than perfectly written text.
💡 The 30-Second Sketch Rule
If you can draw a diagram in under 30 seconds, always include it. Quick sketches activate spatial memory, which helps you recall the concept during exams.
Strategy 4: Create “Method Cards” for Each Problem Type
This is the most powerful technique for Singapore Math, where many questions follow specific problem types.
For each type of problem, create a mini reference card in your notes:
Method Card: Ratio (Total Given)
RATIO: Total Given
P6 / PSLESpot it when: The question gives you the total AND the ratio
Method:
- Add ratio parts to get total units
- 1 unit = Total amount / Total units
- Multiply to find each part
Quick example: A:B = 3:5, total = 240. Total units = 8. 1 unit = 30. A = 90, B = 150.
Watch out: Make sure the “total” refers to ALL parts, not just some of them.
Build a library of these method cards — one for each problem type. Before an exam, flip through them. You’ll know exactly what method to use for any question you encounter.
Strategy 5: End Every Topic With a “Cheat Sheet”
After you’ve finished learning a topic, create a one-page summary that fits everything critical onto a single page. This forces you to identify what matters most.
Your cheat sheet should include:
Anatomy of a Perfect Cheat Sheet
All formulas for the topic (boxed or highlighted)
Problem types with 1-line method for each
Key diagrams (triangle, bar model, etc.)
Common mistakes in red (your personal traps)
Units/conversions needed for this topic
One worked example of the hardest problem type
💡 The Cheat Sheet Test
If your cheat sheet is longer than one page, you haven’t identified what truly matters. Challenge yourself to fit it on a single page — the act of deciding what to include is itself a powerful form of revision.
Notes for PSLE vs O-Level Students
PSLE Students (P5-P6)
Your notes should focus on problem types and methods. At this level, the number of formulas is manageable, but the variety of word problems is huge.
| What to Prioritise | Why |
|---|---|
| Method cards for each problem type | PSLE tests your ability to identify and apply the right method |
| Bar model sketches | Draw one for every ratio, fraction, and percentage problem |
| ”Spot the pattern” notes | Write down what makes each problem type different from others |
| Units and conversions list | Keep a running list of conversions you’ve encountered |
O-Level Students (S1-S4)
Your notes should focus on connecting concepts. O-Level math is cumulative — topics build on each other.
| What to Prioritise | Why |
|---|---|
| Formula cheat sheets by topic | You need quick reference during revision |
| ”Linked topics” notes | Show how algebra connects to graphs, or how trig connects to coordinate geometry |
| Proof/derivation notes | Understanding WHERE formulas come from helps you remember them |
| Condition notes | ”Use sine rule WHEN you have a side and its opposite angle” |
Your Note-Taking Starter Kit
Don’t overhaul your entire system overnight. Start with one change this week:
Week 1: The “Because” Rule
For every worked example in class, add “because…” after each step.
Week 2: Add the Cue Column
Draw a line on the left side of your page. After class, write questions and key terms in the cue column.
Week 3: Create Your First Method Card
Pick the topic you struggle with most and create a method card for each problem type.
Week 4: Build Your First Cheat Sheet
Summarise your most recent topic onto one page. Congratulations — you now have a revision system.
Common Mistakes Students Make with Notes
1. Copying the Textbook
Your notes should be in your own words. If your notes look identical to the textbook, you haven’t processed the information — you’ve just moved ink from one page to another.
2. Making Notes Too Pretty
Spending 30 minutes on decorative headers and fancy borders is procrastination disguised as studying. Neat is good. Instagram-worthy is a waste of time.
3. Never Looking at Notes Again
Notes are only useful if you review them regularly. Schedule a 10-minute weekly review where you cover the notes area and test yourself using the cue column. Pair this with spaced repetition for maximum effect.
4. Not Updating Notes After Making Mistakes
When you get a question wrong in practice, go back to your notes and add the mistake in red. Your notes should evolve as you learn — they’re a living document, not a finished product.
❌ The Most Expensive Mistake
Taking beautiful notes and then studying by re-reading them. Re-reading feels productive but barely creates memories. Use your cue column for active recall instead — it’s 2-3x more effective.
Key Takeaways
- Most math notes fail because students copy passively without processing the information
- The Cornell Method splits your page into notes, cues, and summary — turning your notebook into a built-in revision tool
- Write the “why” after every step using the “because” rule
- Use 3 colours max: black for working, red for warnings, green for key formulas
- Draw diagrams for every topic, even quick 30-second sketches
- Create method cards for each problem type — the most powerful PSLE and O-Level strategy
- Build one-page cheat sheets after finishing each topic
- Review weekly using your cue column for active recall
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