Statistics and probability prompts

Analysing data

Averages inquiry

Mathematical inquiry processes: Generate examples and counter-examples; test particular cases; change the condition; reason. Conceptual field of inquiry: Averages and range; listing permutations.

Representing data

Statistical diagrams

Mathematical inquiry processes: Speculate and verify; create more examples; make connections. Conceptual field of inquiry: Bar and pie charts; bi-variate data and scatter graphs; other representations of data.

Two-way table inquiry

Mathematical inquiry processes: Verify a general statement with particular cases; reason about necessary conditions. Conceptual field of inquiry: Two-way tables; categorical data; permutations.

Probability

Coins inquiry

Mathematical inquiry processes: Experiment; reason and extend to other cases. Conceptual field of inquiry: Sample spaces; probability of independent events.

Probability inquiry

Mathematical inquiry processes: Develop a line of inquiry; make conjectures and reason. Conceptual field of inquiry: Sample spaces; conditional probability.