6. What is logic?

Open Ended

What is logic?

Multiple Choice

A video game character can defeat the dragon IF:

They have a magic sword AND they have a shield OR magical armor AND

They are NOT poisoned.

The character has a magic sword, no shield, magical armor, but is poisoned. Can they defeat the dragon?

• Yes

• No

A video game character can defeat the dragon IF:

• They have a magic sword AND

• (They have a shield OR magical armor) AND

• They are NOT poisoned The character has a magic sword, no shield, magical armor, but is poisoned. Can they defeat the dragon?

Answer: NO! Because:

• Magic sword (true)

• Shield OR magical armor (true, because they have armor)

• NOT poisoned (false, because they are poisoned)

• When using AND, all must be true, and one is false

Multiple Choice

The school robotics club accepts students IF:

They are in grades 7-8 AND they have taken a computer class OR can code at home AND

They are NOT already in three other clubs.

Mary is in grade 7, hasn't taken a computer class but codes at home, and is in two clubs.

Can Mary join the robotics club?

• Yes

• No

The school robotics club accepts students IF:

• They are in grades 7-8 AND

• (They have taken a computer class OR can code at home) AND

• They are NOT already in three other clubs Mary is in grade 7, hasn't taken a computer class but codes at home, and is in two clubs. Can Mary join the robotics club?

Answer: YES! Because:

• Grade 7-8 (true)

• Computer class OR codes at home (true because she codes at home)

• NOT in three clubs (true, she's only in two)

• All AND conditions are met

Multiple Choice

A smart home system will turn on the lights IF:

It's dark outside AND no one has been home for 2 hours OR

someone is in the room AND they are NOT sleeping OR the security alarm is on.

Current situation:

It's dark outside

The house has been empty for 3 hours

The security alarm is off

Will the lights turn on?

• Yes

• No

A smart home system will turn on the lights IF:

• (It's dark outside AND no one has been home for 2 hours) OR

• (Someone is in the room AND they are NOT sleeping) OR

• The security alarm is on Current situation:

• It's dark outside

• The house has been empty for 3 hours

• The security alarm is off Will the lights turn on?

Answer: YES! Because:

• First condition: (dark AND empty for 2+ hours) = true

• We don't need to check the other conditions because with OR, we only need one true condition

• Even though the other conditions are false, one true OR is enough