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Learning objective overview
Master Teaching Guide coverage for this objective.
S5-3
NZC26-P4-PRO-ETP-K-Y9-08NZC26-P4-PRO-ETP-P-Y9-04NZC26-P4-PRO-ETP-K-Y9-03NZC26-P4-PRO-ETP-P-Y9-03NZC26-P3-PRO-EP-K-Y7-02NZC26-P3-PRO-EP-K-Y7-03NZC26-P3-PRO-EP-K-Y7-04NZC26-P3-PRO-EP-P-Y7-01NZC26-P3-PRO-EP-P-Y7-02NZC26-P3-PRO-EP-P-Y7-03
Resources
- Alpha textbook: Experimental/Theoretical probability, Exercise A & B,
- Alpha textbook: pg 297 – 302
- Dr Austin Maths - Experimental Probability Practice Strips: PDFQuestions PDF · Answers
- CorbettMaths on basic probabilityQuestions PDF · Answers
- Beta: Skills in Ex 33.02, pg 619
Terminology
- Probability
- Favourable outcomes
- Theoretical Probability
- Experimental Probability (or Relative Frequency)
- Trial
- Experiment
- Prediction
- Law of Large Numbers
- Long-run
Task goals
- Calculate a relative frequency (experimental probability) from given trial results, as Favourable trials / Total trials, using sample sizes of 30 or 1000.
- Read a frequency table of trial results and use it to find a relative frequency.
- Compare an experimental probability to a known theoretical probability, and use the term Law of Large Numbers to explain why larger samples tend to be closer to the theoretical value.
- Use an experimental probability (rate) to predict an expected count in a different sample size.
- Work backwards from a stated relative frequency and a sample size to find the raw favourable count.
- Critically evaluate a probability conclusion drawn from a small sample, and combine results from multiple trials into one overall relative frequency.
Where this fits
What leads into this objective, and where it goes next.
Before
No prerequisite objective linked yet.
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F/T
The estimated probability of an event from an experiment is the number of times the event happens divided by the total number of trials in the experiment (i.e. the relative frequency for that event).
Statement▸
Carrying out chance experiments of at least 100 trials and comparing the experimental probability of each individual outcome to its theoretical probability, in order to demonstrate the Law of Large Numbers
Statement▸
Next
The official curriculum has no separate Year 10 statements for Probability — Year 9 Probability spans the phase. Try the Statistics strand’s Year 10 statements. Or extend with: Inverse Normal Distribution, The Standard Normal Distribution.
Also under S5-3:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.