MAP
Algebra, Functions & Programs
How can one sentence describe a whole pattern?
Turn patterns into rules, rules into machines and machines into programs a computer can run.
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Patterns and Rules
Build a row of toothpick squares and count what each new square adds
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Solving Equations by Undoing
Balance 3 bags of marbles and 2 loose ones against 14 and find what each bag holds
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Functions as Machines
Write a taxi fare of $3 plus $2 a mile as c(m) = 3 + 2m and find c(5)
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Lines, Slope, and Rate
Find the dollars per mile in a taxi fare
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Algorithms as Math Programs
Trace the remainders of 48 and 18 until one is zero
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Exponents, Exponentials, and Logarithms
Find how many decades a town of 1 thousand that doubles each decade takes to reach 32 thousand
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Computation, Complexity, and P vs NP
Count the baskets 30 price tags make, then check one against a $100 total
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