Core concept: Collecting data can help make predictions and comparisons.
Pairs of socks – 40 minutes
Use the table below as prompts to generate a discussion about the concept of events being certain or not certain, along with anticipated responses from students.
Explain to students that Jasmine has 2 blue socks and 2 red socks in the laundry basket. Ask:
Could Jasmine pick 2 socks of the same colour if she picked 2 socks from the basket without looking?
Ask:
What are the different possibilities that Jasmine could pull out first?
If she pulls out a red sock first, is it certain that she will pull out another red sock?
Is it certain that she will always get a pair of socks the same colour?
Is it certain that she will always get a pair of socks of different colours?
Students Think-Pair-Share the possible outcomes. Record the results on the board for all students to see.
Replace the socks, shuffle the container, and choose another student to pick 2 more socks without looking. Do this at least 6 times and keep a record of the colours that the students pick each time.
Look at the class results and ask students if their predictions were correct.
Discuss and connect the mathematics – 10 minutes
Summarise the lesson, drawing out key mathematical ideas about predicting the likelihood of events.
Ask students:
What colour did you pick out the most in the sock experiment?
Do you think you would get the same results if you repeated the experiment? Why or why not?