What are the key features of a quadratic and what information do you need to be able to identify these for a particular example?
This problem is designed to be tackled in a team of four, working as two pairs. One of the pairs is trying to identify the quadratic on a randomly chosen card from this set of cards.
To begin, place all of the cards on the table and spend a couple of minutes familiarising yourselves with the types of images and equations that might be chosen.
Next, one pair takes control of the cards, moving them out of sight from the other pair. They select a card at random. The other pair can now ask up to 8 “yes/no” questions to determine the hidden quadratic. It is important that each pair confers and agrees before asking or answering each question.
You are permitted a maximum of two guesses at the hidden function, and each guess counts as one of your 8 questions.
Some things to consider
Did you guess the quadratic correctly? If not, what additional information did you need?
Did you make the most of the information you were given? Could you have avoided asking any of your questions?
Were your questions clear? Did the other pair understand what you meant? Could you have used mathematical language to improve this?
Would you ask the same questions next time?