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Grades 6–7MathProbabilityLesson 1 of 4Ages 11–13

Years 7–8 in England and Wales · Cambridge Lower Secondary Stages 7–8 · IB MYP 1 to MYP 2, ages 11–13

Is a six harder to roll?

Teams roll a die 30 times and get lopsided results, then pool the whole class's rolls and watch every face settle close to one-sixth. Students place events on a probability scale from 0 to 1, write probabilities as fractions, decimals and percents, and explain why experimental probability gets closer to theoretical probability with more trials.

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First page of the Is a six harder to roll? teacher guide
A paper cup tipped on its side on a table with one die tumbling out and another already landed, and a group of tally marks drawn on the wall.Preview · the opening mission

Read this to the class:

In a board game, you need a six to start. Jayden has been waiting for six turns and is convinced: "Six is the hardest number to roll. The die is against me." His sister says every number is just as likely. The game company has received an angry letter. Your team's job: collect real evidence about how often each number comes up, and write the company a reply it can trust.

Teams of three, with jobs that rotate every 10 rolls: Roller (shakes the die in the cup and rolls), Caller (reads the number aloud), Recorder (makes a tally mark).

Look inside the PDF

Sample pages, stamped “preview”. The download is the clean, full lesson.

Teacher guide, page 1
Inside: the lesson steps
Student sheet, ready to copy

In the full lesson PDF

7 printable pages

  • Predict (5–10 min)
  • Hunt (20 min)
  • Reveal (10–15 min)
  • Act (10 min)
  • Background for the teacher
  • Assessment
  • Student sheet
  • Worksheet: Label it
  • Worksheet: Try it at home

On the student sheet

  • My prediction
  • Our 30 rolls
  • The whole class
  • What did we find?
  • Our reply to Jayden
  • Exit ticket
  • Label it
  • Try it at home

US Letter, prints cleanly in black and white. The student sheet is on its own page, ready to photocopy.

Free with an account (any 3 lessons), or US$19 for all 4 lessons in this unit.

What students show by the end

  • Uses the probability scale
  • Finds experimental and theoretical probability
  • Explains sample size

From the lesson’s rubric, which scores each one as not yet, getting there or got it.

Questions teachers ask

How long does “Is a six harder to roll?” take?

50–60 min. Group size: teams of 3.

How much prep does it need?

10 minutes: each team needs one ordinary six-sided die and a paper cup or a tray to roll into, so dice don't bounce off the desk. Draw a big class tally table on the board with columns 1 to 6 and a row for each team. Draw a probability line from 0 to 1 on the board.

What materials do I need?

Six-sided die; paper cup or shallow tray to roll into. Cost: about $5 for a class set of dice if you have none.

Which curriculum standards does it cover?

Common Core Math (US): 7.SP.C.5, 7.SP.C.6 and 7.SP.C.7 (partly).

What’s in the lesson PDF?

A teacher guide that walks you through predict, hunt, reveal, act, background for the teacher and assessment, then a student sheet (“My prediction”, “Our 30 rolls”, “The whole class”, “What did we find?”, “Our reply to Jayden”, “Exit ticket”, “Label it” and “Try it at home”) on its own page, ready to photocopy. It’s US Letter and prints cleanly in black and white.

Can I try it for free?

Yes. A free account includes any 3 full lessons of your choice, and this can be one of them. After that, this unit is US$19 for all 4 lessons, yours to keep, or every lesson is US$199 a year.