The purpose of this activity is for students to set up and run a simple probability simulation and to compare their experimental value of probability with the theoretical value.
This activity assumes the students have experience in the following areas:
The problem is sufficiently open ended to allow the students freedom of choice in their approach. It may be scaffolded with guidance that leads to a solution, and/or the students might be given the opportunity to solve the problem independently.
The example responses at the end of the resource give an indication of the kind of response to expect from students who approach the problem in particular ways.
A group of parents running a fundraising sausage sizzle are struggling to keep up with demand, so have got the BBQ turned up to the hottest setting.
As a result, one third of the sausages are burnt, a quarter are sold before they are cooked properly, but the rest are fine.
Use coloured counters to model this situation, to find the percentage probability, that the next customer is lucky enough to get a properly cooked sausage.
Comment on the results of your experiment.
The following prompts illustrate how this activity can be structured around the phases of the Statistical Enquiry Cycle.
The problem section is about what data to collect and who to collect it from and why it’s important.
The planning section is about how students will gather the data.
The data section is concerned with how the data is managed and organised.
The analysis section is about exploring the data and reasoning with it.
The conclusion section is about answering the question in the problem section and providing reasons based on their analysis.
The student runs a probability simulation, and calculates a theoretical probability, to estimate and determine the value of the probability of getting a properly cooked sausage.
Click on the image to enlarge it. Click again to close.
The student uses the provided fraction information to set up and run a valid, simple probability simulation, independently. They compare the experimental estimate with the theoretical value of the probability using fractions and percentages.
Printed from https://nzmaths.co.nz/resource/lucky-sausages at 2:25am on the 24th April 2024