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IMP

Students understand and apply basic notions of chance and probability.

Identify relationship among events (e.g., inclusion, disjoint, complementary, independent, and dependent).

Compute probabilities of two events under different relationships, union, intersections.

Use fundamental counting principle, permutations, and combinations as counting techniques to solve problems.

Compute the theoretical probabilities of repeated experiments with replacement and repeated experiments without replacement.

Recognize random variables in real situations (e.g., insurance, life expectancy) and estimate and compute expectations.

IMP 1

Game of Pig

Flip, Flip: pp. 112

Pictures of Probability: pp. 119-120, 124-125

In the Long Run: pp. 135-138, 139-140, 142-143, 144, 145-149

Little Pig: pp. 151-156

Back to Pig: pp. 158-159

Triangles Galore: pp. 438

IMP 2

Solve It!

Keeping Things Balanced: pp. 33

IMP 3

Pennant Fever

Play Ball!: pp. 392-393

Trees & Baseball: pp. 400-405

Birthday Problem: pp. 407-408, 411-414

Baseball & Counting: pp. 416-434

Combinatorial Reasoning: pp. 436-439, 442-444, 447-448

Baseball Finale: pp. 459, 461-462

IMP 4

Pollster’s Dilemma

What’s a Pollster to Think?: pp. 369-370, 373, 374-376

Polls & Pennant Fever: pp. 378-385

Normal Distributions Revisited: pp. 387-408

Means & Standard Deviations: pp. 416-417

Matter of Confidence: pp. 425-427

Putting it Together; pp. 437-438

Correlation of IMP Years 1-4 (© 1997-2000) to the Hawai’i Mathematics Content Standards29