Lesson Guide
Explanation
Data is information you collect to answer a question. Want to know your class's favourite fruit? Ask everyone — that's a SURVEY — and the pile of answers you get back is your DATA: apple, banana, apple, grape, banana… Raw data is a jumble. The rest of this lesson is about taming that jumble so it can answer your question.
Your Turn
Think of a survey question you'd love to ask your class. Who would you ask? What answers might you get?
Watch Out
A good survey asks EVERYONE the same question the same way — no skipping people, no changing the question.
Explanation
Tally marks record answers as they arrive: one small stick per answer. The trick is the GATE: when you reach a fifth answer, draw it ACROSS the four sticks to bundle them into a gate of 5. Later you count bundles super fast — 5, 10, 15 — instead of counting every stick. Seven votes looks like one gate plus two sticks.
Your Turn
Draw tally marks for 9, and for 12. Check: one gate + 4 sticks; two gates + 2 sticks.
Watch Out
The fifth mark goes ACROSS the other four, not standing next to them — otherwise your bundles are invisible.
Explanation
A FREQUENCY TABLE puts your tallies in order: one row per answer, with columns for the tally and the final count ('frequency' just means how many). Now the data can talk: apples won with 7! Always run the total check — 7 + 5 + 3 + 2 = 17 — and make sure it matches how many people you actually asked. If not, a vote went missing!
Your Turn
Survey your family on favourite dinner. Make a mini table with tally and count columns. Do your counts add to the number of people?
Watch Out
The total check is your safety net — do it EVERY time. Data that doesn't add up can't be trusted.
Explanation
A finished table answers questions instantly. MOST popular? Find the biggest count (apple, 7). LEAST popular? The smallest (orange, 2). 'How many more chose apple than grape?' — that's a comparing question, so subtract: 7 − 3 = 4. 'How many altogether?' — add every count: 17. Those four question types cover almost every data question you'll ever meet.
Your Turn
From our table: how many more chose banana than orange? And what are the two least popular fruits together? Check: 5 − 2 = 3; and 3 + 2 = 5.
Watch Out
'How many more' needs subtraction, not just reading a number — the table gives you the ingredients, you do the maths.
Explanation
You now have the full data-detective toolkit: ask a clear question, tally the answers with gates of five, total the counts (and check the total!), then make the data talk — most, least, differences, total. Real scientists do exactly these steps with bigger numbers. Next lesson we'll turn tables into pictures — graphs! But first: quiz and exercises.
Your Turn
Run a real 5-minute survey at home tonight (favourite ice-cream flavour?). Bring the full table: tallies, counts, total.
Watch Out
Write tallies AS each person answers — trying to remember answers and tally later is how data gets lost.
Step 1: Introduction
Step 1 of 5
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