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Today we will be learning to:
• know that probability is measured on a scale of 0 - 1
• place events on a 0 – 1 scale
• estimate probability
• use the notation for probability.
Mental Activity
equivalent fractions
Fractions
Make a list all the vocabulary you know relating to fractions.
47
Equivalent fractions
Say a fraction equivalent to this.
Explain the strategy you used.
Equivalent fractions
Make an equivalent fraction for each of the following.
Record your answers.
12
Equivalent fractions
23
Equivalent fractions
67
Equivalent fractions
910
Equivalent fractions
35
Equivalent fractions
34
Equivalent fractions
56
Equivalent fractions
38
Equivalent fractions
59
Equivalent fractions
Main Activity
Today we will learn how to measure probability on a 0 – 1 scale.
0 10 means that something will definitely
not happen.
What could 1 mean?
0 10 means that something will definitely
not happen.
1 means that something definitely will happen.
How can a fifty-fifty or even chance fit into this theory?
The Probability Scale
0 1
Where should ½ go?
½
The Probability Scale
0 1½
What is the probability of getting a ‘head’ when tossing a coin?
The Probability Scale
0 1½
What is the probability of rolling an eight with a single fair dice?
The Probability Scale
0 1½
What is the probability of the sun rising in the morning?
The Probability Scale
0 1½
What is the probability of getting a six when throwing a dice?
The Probability Scale
0 1½
There are six possibilities.
The number 6 is only one possibility.
Therefore there is a 1/6 chance.
Excuse me, how do I place 1/6 on
the probability scale?
You use the same technique you would use with a fraction
number line.
0 1
Placing 1/6 on a probability scale.
Draw a simple probability scale.
0 1
Placing 1/6 on a probability scale.
Divide the probability scale into six equal parts.
0 1
Placing 1/6 on a probability scale.
Divide the probability scale into six equal parts.
Each division is one sixth.
1/6
The Probability Scale
0 1½
What is the probability of getting a six when throwing a dice?
The Probability Scale
½0 11/6
What is the probability of getting a six when throwing a dice?
HIPPOPOTAMUS
0 1½
What is the probability of picking out a ‘p’ from the letters above?
HIPPOPOTAMUS
0 1½
There are three chances out of twelve letters which is 3/12.
3/12 is equivalent to ¼.
HIPPOPOTAMUS
0 1½¼
There are three chances out of twelve letters which is 3/12.
3/12 is equivalent to ¼.
A ‘Will it or won’t it?’ activity
A ‘Might do, might not!’ activity
Group Work
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