Standards with the same topic and subject but for other grades
Organized lists, charts
Explore the multiplication principle of counting in simple situations by representing all possibilities in an organized way (e.g., you can make 3 x 4 = 12 outfits using 3 shirts and 4 skirts).
Solve counting problems and justify that all possibilities have been enumerated without duplication: Organized lists, charts, tree diagrams, tables.
What students think will happen (intuitive)
More likely, less likely, equally likely
Determine probability using intuitive, experimental, and theoretical methods (e.g., using model of picking items of different colors from a bag); Given numbers of various types of items in a bag, what is the probability that an item of one type will be picked; Given data obtained experimentally, what is the likely distribution of items in the bag.
Determine probabilities of events: Event, probability of an event; Probability of certain event is 1 and of impossible event is 0.
Devise strategies for winning simple games (e.g., start with two piles of objects, each of two players in turn removes any number of objects from a single pile, and the person to take the last group of objects wins) and express those strategies as sets of directions.
Likely, unlikely, certain, impossible
How can experimental and theoretical probabilities be used to make predictions or draw conclusions?