Name WORDs Next to each step, write down which rule you use.
Name _____________________ WORDs
Use the following rules to change each "word" (each string of letters) into the other.
Next to each step, write down which rule you use.
1) Any letter can change into an A. 2) Two Cs in a row can turn into a B. 3) Any word can be doubled.
(1) C _____________ _____________ _____________ _____________ _____________ _____________ ACAC
(2) B _____________ _____________ _____________ _____________ _____________ _____________ ABAB
(3) C _____________ _____________ _____________ _____________ _____________ _____________ B
(4) B _____________ _____________ _____________ _____________ _____________ _____________ BABA
(5) CB _____________ _____________ _____________ _____________ _____________ _____________ AACB
(6) C _____________ _____________ _____________ _____________ _____________ _____________ CBA
(7) CAC _____________ _____________ _____________ _____________ _____________ _____________ CAAAC
(8) CAC _____________ _____________ _____________ _____________ _____________ _____________ CAAC
(9) C _____________ _____________ _____________ _____________ _____________ _____________ BACABC
(10) C _____________ _____________ _____________ _____________ _____________ _____________ AACB
(11) CBC _____________ _____________ _____________ _____________ _____________ _____________ ABAABC
(12) CDCC _____________ _____________ _____________ _____________ _____________ _____________ CDABAB
Compose three problems of your own below.
_____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________
_____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________
_____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________
What do you find appealing or unappealing about this mathematical structure?
Think up three rules that we could add as Rule #4 and write these below. Pick one and give an argument as to why this would be a good addition to the system.
Name _____________________ WORDs
Use the following rules to change each "word" (each string of letters) into the other. Write the number of the rule you use next to each step.
1) Any letter can change into an A. 2) Two Cs in a row can turn into a B. 3) Any word can be doubled.
(Louis) B _____________ _____________ _____________ _____________ _____________ _____________ CC
(Phineas) CAC _____________ _____________ _____________ _____________ _____________ _____________ CCAAAAAACC
(Max) C _____________ _____________ _____________ _____________ _____________ _____________ BCABBC
(Lily) CCB _____________ _____________ _____________ _____________ _____________ _____________ BBACBBBACB
(Oliver) O _____________ _____________ _____________ _____________ _____________ _____________ AAAA
(Nadia) A _____________ _____________ _____________ _____________ _____________ _____________ CC
(Tucker) C _____________ _____________ _____________ _____________ _____________ _____________ CBACBCA
(Laila) BA _____________ _____________ _____________ _____________ _____________ _____________ BAA
(Nina) C _____________ _____________ _____________ _____________ _____________ _____________ BXAC
For Nina's: 4) Four Cs can turn into an X.
Created by ______________!
Name _____________________ Use the following rules to change each "word" (each string of letters) into the other. 1) Any letter can change into an A. 2) Two Cs in a row can turn into a B. 3) Any word can be doubled. 4)
(1)
_____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________
(4)
_____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________
(2)
_____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________
(5)
_____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________
(3)
_____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________
(6)
_____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________
Name _____________________ WORDs Switcheroo!
Use the following rules to change each "word" (each string of letters) into the other.
1) Neighboring letters can switch places. MATH MTAH 2) The first and last letters of a word can switch places. GLAD DLAG
(1) ARM _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ RAM
(2) BALM _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ LAMB
(3) LUMP _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ PLUM
(4) CAUSE _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ SAUCE
(5) TRACE _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ CATER
(6) SHOTGUN _____________ _____________ _____________ _____________ _____________ _____________ _____________ _____________ GUNSHOT
Can you come up with a problem of you own on the back?
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