Name: __________________________________ Date: _____________________ Hour: _________
Lesson 2.3 - Properties of Algebra
Learn the difference between Commutative, Associative and Distributive Laws by creating:
Comic Book Super Heroes
Commutative Man
Step 1:
The "Commutative Laws" say you can swap numbers over and still get the same answer ...
... when you add:
a+b = b+a
Example:
... or when you multiply:
a×b = b×a
Example:
.
Step 2:
Does order of numbers matter when multiplying or adding?
Step 3:
Using this information, try to draw a super hero whose super powers incorporates the fact
that order doesn't matter.
Your super hero could be a man, a woman, a dog, a robot, anything!
Step 4:
Label your super hero Commutative (Man/Woman/Dog/Whatever)
Name: __________________________________ Date: _____________________ Hour: _________
Associative Man
Step 1:
The "Associative Laws" say that it doesn't matter how you group the numbers (i.e. which
you calculate first) ...
... when you add:
... or when you multiply:
(a + b) + c = a + (b + c)
(a × b) × c = a × (b × c)
Example:
Example:
Step 2:
Do the way we group numbers matter when multiplying or dividing?
Step 3:
Using this information, try to draw a super hero whose super powers incorporates the fact
that the way we group numbers doesn't matter
Step 4:
Label your super hero Associative (Girl/Boy/Dog/Whatever)
Distributive Man
Step 1:
The "Distributive Law" says:
a × (b + c) = a × b + a × c
This is what it lets you do:
3 multiplied by (2+4) is the same as 3 multiplied by 2 plus 3 multiplied by 4
Step 2:
Though they kind of look the same, what's different between Associative and Distributive.
Notice that one uses multiplication and addition whereas the other uses either multiplication
or addition. What else can you notice
Step 3:
Using this information, try to draw a super hero whose super powers are distributive
Step 4:
Label your super hero Distributive (Woman/Man/Hamster/Whatever)
Name: __________________________________ Date: _____________________ Hour: _________
Lesson 2.3 - Properties of Algebra (Rubric)
Part 1: Drawing Your Super Hero
Follow the rubric to ensure full credit.
a.)
Picture is complete.
__________ (2 points)
b.)
Picture is colored.
__________ (1 point)
c.)
Picture is neat.
__________ (1 point)
d.)
Picture is drawn on white paper.
__________ (1 point)
__________ (5 points)
Part 2: Explaining Your Super Power.
Complete the following sentences to ensure full credit.
a.)
My hero's power is _________________________________.
__________ (3 points)
This power is like the ___________________ property because
__________________________________________________
__________________________________________________.
Part 3: Example of your property.
Show a complete example of your property of numbers to ensure full credit.
a.)
Example of property.
__________ (2 points)
Total: ___________ (10 points)