Mathematics 12 set theory and Probability
Specific Curriculum Outcomes
LR02 Solve problems that involve the application of set theory.
LR03 Solve problems that involve conditional statements.
P01 Interpret and assess the validity of odds and probability statements.
P02 Solve problems that involve the probability of mutually exclusive and non–mutually exclusive events.
P03 Solve problems that involve the probability of two events.
P04 Solve problems that involve the fundamental counting principle.
P05 Solve problems that involve permutations.
P06 Solve problems that involve combinations.
LR02 Solve problems that involve the application of set theory.
LR03 Solve problems that involve conditional statements.
P01 Interpret and assess the validity of odds and probability statements.
P02 Solve problems that involve the probability of mutually exclusive and non–mutually exclusive events.
P03 Solve problems that involve the probability of two events.
P04 Solve problems that involve the fundamental counting principle.
P05 Solve problems that involve permutations.
P06 Solve problems that involve combinations.
activities
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- The Better Bet from NRICH Math - Which of the following is the better bet, if both games cost £1 to play? Getting two heads and two tails on four coins wins you £3 or You win £2 for every six that appears when three standard dice are rolled. You can make a guess and then use experimental probability to investigate this question.
- Venn Diagram Worksheets - I don't normally attach worksheets here but there are some nice templates here to use.
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- Converse, Inverse, and Contrapositive Card Sort from Elissa Miller - Students look at a series of cards that each have an original statement and a changed form of this statement and then they place them on the 'mat' in the correct place.
- Converse, Inverse, and Contrapositive video - A teacher trying to explain converse, inverse, and contrapositive by waving his arms about. Silly but it sticks.
- The last banana thought experiment a TEDEd video from Leonardo Barichello - This video explains a simple probability experiment with dice.
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- Zero Factorial from Numberphile - In this video, Dr. james Grimes explains why 0! = 1.
- The Humble-Nishiyama Randomness Game - Mathematicians Steve Humble and Yutaka Nishiyama invented this game using playing cards to highlight a surprising result in probability, based on a principle discovered by Walter Penney.