All Lessons

(D) Make predictions and determine solutions using theoretical probability for simple and compound events

(Y6) Describe probabilities using fractions, decimals and percentages (ACMSP144)

(Y7) Assign probabilities to the outcomes of events and determine probabilities for events (ACMSP168)

7.SP.7.A Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.

(A) Compare and contrast the benefits of different sampling techniques, including random sampling and convenience sampling methods

(Y11-12) Understand the purpose of sampling to provide an estimate of population values when a census is not used (ACMEM129)

(Y11-12) Investigate the different kinds of samples; for example, systematic samples, self-selected samples, simple random samples (ACMEM130)

(Y11-12) Investigate the advantages and disadvantages of these kinds of samples; for example, comparing simple random samples with self-selected samples (ACMEM131)

(Y11-12) Identify the target population to be surveyed (ACMEM132)

7.SP.1 Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

(F) Use data from a random sample to make inferences about a population

(B) Use data from a random sample to make inferences about a population

(Y11-12) Understand the purpose of sampling to provide an estimate of population values when a census is not used (ACMEM129)

7.SP.2 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.

(E) Fnd the probabilities of a simple event and its complement and describe the relationship between the two

(Y5) List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions (ACMSP116)

(Y5) Recognise that probabilities range from 0 to 1 (ACMSP117)

7.SP.5 Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.