Big Idea 3 · Topic 3.5 · Exercise 1
Trace the Gate
25 minutes
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Q1 · 3 points on the handout
A classmate says 'if isVIP and hasFastPass are BOTH true, then isVIP OR hasFastPass must be false, because you can't use both perks.' Explain precisely why this is wrong using the reference-sheet definition of OR.
Q2 · 3 points on the handout
Write an expression that is true exactly when a rider is NOT tall enough (the minimum is 48 inches). Then evaluate it for a rider whose height is 45, showing every step.
Q3 · 2 points on the handout
ENRICHMENT: The full boarding rule is height >= 48 AND hasTicket AND rideOpen. Explain why one false operand anywhere makes the whole rule false, and contrast that with how an OR of the same three operands would behave.
Q4 · 0 points on the handout
Next step: you evaluated these by hand. Now head to the Topic 3.5 page and type and run the harder versions, where the computer checks each Boolean result for you.
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Hand this in the way your teacher asked for it. Topic 1.1 has its graded check today, and the rest follow.