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In this mixed conditionals game, students review the zero, first, second and third conditionals by completing sentences and playing games of dominoes. Give each group of three a copy of the uncut worksheet. In their groups, the students read and complete each conditional sentence with an 'If' clause or main clause as indicated.

Identities

0 + X = X0 · X = 01 + X = 11 · X = XX + X = XX · X = X

Negation

X + ~X = 1~0 = 1~1 = 0~~X = XX · ~X = 0

Laws

Commun­ative LawA · B = B · AA + B = B + AAssoci­ative LawA · (B · C) = (A · B) · CA + (B + C) = (A + B) +CDistri­butive LawA · (B + C) = A·B + A·CA + B · C = (A+B)(A+C)

De Morgan's Laws

~(X · Y)= ~X + ~Y ~(X + Y)= ~X · ~Y ~(X · Y · Z)= ~X + ~Y + ~Z ~(X + Y + Z)= ~X · ~Y · ~Z

Theorems

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Theorem 1X + X · Y = XTheorem 2X + ~X · Y = X + YTheorem 3X · Y + ~X · Z + Y · Z = X · Y + ~X · ZTheorem 4X(X + Y) = XTheorem 5X(~X + Y) = X · Y

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Theorem 6(X + Y)(X + ~Y) = X

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Theorem 7(X + Y)(~X + Z) = X · Z + ~X · YTheorem 8

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(X + Y)(~X + Z)(Y + Z) = (X + Y)(~X + Z)

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