Predictions: Fair, Misleading, or Certain?

MathematicsYear 825 slidesAustralian curriculum
Predictions: Fair, Misleading, or Certain?

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Predictions: Fair, Misleading, or Certain?
Slide 1

Predictions: Fair, Misleading, or Certain?

What if we misunderstood predictions? Year 8 Mathematics Exploring probability, chance, and certainty

Learning Intentions
Slide 2

Learning Intentions

Understand how probability is used to make predictions Classify events from impossible to certain Identify when predictions are based on data vs language tricks Explain why probability doesn't guarantee outcomes

Key Vocabulary
Slide 3

Key Vocabulary

Probability - the likelihood of an event occurring Chance - another word for probability Likely - has a good probability of happening Unlikely - has a low probability of happening Certain - will definitely happen (100% probability) Impossible - will never happen (0% probability)

Think About It...
Slide 4

Think About It...

What's the difference between these statements? 'It will probably rain tomorrow' 'There's a 70% chance of rain tomorrow' Which one gives you more useful information?

The Probability Scale
Slide 5

The Probability Scale

0% = Impossible (will never happen) 25% = Unlikely (probably won't happen) 50% = Even chance (could go either way) 75% = Likely (probably will happen) 100% = Certain (will definitely happen)

Probability Card Sort
Slide 6

Probability Card Sort

Work in pairs to sort these events Place each card on the probability scale Impossible | Unlikely | Even Chance | Likely | Certain Be ready to justify your choices!

Let's Check Some Answers
Slide 7

Let's Check Some Answers

Rolling a 6 on a dice = 1/6 or about 17% Flipping heads on a coin = 1/2 or 50% Drawing a red card from a deck = 26/52 or 50% Your birthday falling on a weekend = 2/7 or about 29%

Fair vs Misleading Predictions
Slide 8

Fair vs Misleading Predictions

{"left":"Based on data and evidence\nUses specific numbers or percentages\nAcknowledges uncertainty\nCan be tested and verified","right":"Uses vague language\nMakes absolute claims without evidence\nIgnores contradictory information\nCannot be tested"}

Spot the Problem
Slide 9

Spot the Problem

'Our team always wins at home' What makes this prediction misleading? How could we make it more fair and accurate?

Language Tricks in Predictions
Slide 10

Language Tricks in Predictions

'Studies show...' (which studies? how many people?) 'Most people believe...' (what percentage exactly?) 'Experts say...' (which experts? what are their qualifications?) 'It's proven that...' (where's the proof? peer-reviewed?)

Prediction Detective
Slide 11

Prediction Detective

Read the news headlines provided Identify: Is this prediction fair or misleading? Circle the language that gives it away Rewrite misleading predictions to make them fair

Why Probability Doesn't Guarantee Outcomes
Slide 12

Why Probability Doesn't Guarantee Outcomes

A 90% chance of rain means it might not rain Probability describes likelihood, not certainty Even unlikely events can happen That's why we need the full scale from 0-100%