Independent and dependent events
Identify whether events in chance experiments and everyday situations are independent (one does not affect the other) or dependent (the first outcome changes the chances of the next)
Lesson
Set out your lesson
“Independent and dependent events means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”
Bring to the table
- Tally sheet or simple bar sketch
- A short set of category counts
Extra for the adult
Worked example. Cats 4, dogs 2 — cats have more. The tally and comparison are the proof.
Optional challenge. For Independent and dependent events, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Independent and dependent events, not mastery.
Share and support
Family records and proof options
Keep a record of your learning
Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Practice this concept
Start practiceIndependent and dependent events practice
Practice key ideas from Independent and dependent events.
Free · no login · no ads · Practice answers and completion are not saved. Parent observation remains the lesson record.
Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
PhET Interactive Simulations · Practice link — not the full lesson
Plinko Probability
Before you open · source notes
Plinko Probability supports hands-on exploration for Independent and dependent events. Not every lab worksheet.
Free interactive page, no sign-in required for the tested path.
Before you openAsk the learner what they changed in the sim or page and what they observed.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public PhET Interactive Simulations page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.
PhET Interactive Simulations. “Plinko Probability.” External page; Gakuva does not copy, host, embed, or redistribute materials.
Unknown — link only
Check understanding
- Explain that getting heads on one coin flip does not change the chance of heads on the next flip
- Explain why taking a red marble out of a bag and not putting it back changes the chance of drawing red next
- Sort five described pairs of events into independent and dependent
“If your child flips a coin and gets heads three times in a row, do they understand the next flip is still 50-50 — but that taking a lolly from a bag without putting it back does change what's left?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Probability
- Age range
- Ages 9–13
Standards