Describe probabilities using fractions, decimals and percentages (ACMSP144)
Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies (ACMSP145)
Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies (ACMSP145)
WARM UP
Something to consider...
Calculator may be needed for some!
What is 8/10 as a percentage?
Frequencies
Lesson focus:
Understand how tree diagrams can be used to show the probability of multiple variables. Experiment with drawing aspects of your own and practise filling in another example.
Understand how tree diagrams can be used to show the probability of multiple variables. Experiment with drawing aspects of your own and practise filling in another example.
Lesson objectives:
How has the probability changed?
By the end of the lesson series, you will be able to:
- Describe the probability of an event using fractions, decimals and percentages.
- Define key language for use with probability activities.
- Explain how a game can be unfair and biased in favour of one player.
Instructions
In your pairs you will be given two fictitious magazine covers in Student Sheet 1 – Footy Fanatic and Student Sheet 2 – Know More Money.
Draw attention to some of the statements involving chance and uncertainty.
Please complete the table in Student Sheet 4 - Statements of Chance to show:
o Name of magazine.
o What the statement about chance (probability) is.
o What this statement says about probability more precisely.
Draw attention to some of the statements involving chance and uncertainty.
Please complete the table in Student Sheet 4 - Statements of Chance to show:
o Name of magazine.
o What the statement about chance (probability) is.
o What this statement says about probability more precisely.
Chance (probability) can be expressed as a fraction, decimal or percentage.
- Find examples on your magazine covers (e.g. 22% chance of getting your money back).
- You will need hand out Student Sheet 3
- Look at a large class hundreds chart (1 – 100) to introduce the task.
- Review that in a chance experiment with equally likely outcomes (as in choosing a number randomly from the hundreds chart), the probability of an event is equal to the fraction of outcomes that are favourable. Students can count the number of favourable outcomes on the hundreds chart.