196 Multifaceted Number Concepts
Successful Strategies
Analyzing equations to fi nd out if the order is changed
or the groupings are changed is an important aspect of
understanding the commutative and associate properties. It
is critical that students also experience situations that involve
addition and multiplication so that they learn when the
properties may not be applicable.commutative property,
order, associative property,
grouping, addition,
multiplication, sum,
product, expression,
equationMath Words to Use
Questions at Different Levels of Cognitive Demand
Recall: Does 5 + 3 = 3 + 4?
Comprehension: Why does 6 x 7 = 7 x 6?
Application: How would you show the commutative
property using the digits 3, 4, 5?
Analysis: How would you compare the associative and
commutative properties?
Evaluation: What is the value in knowing the
commutative and associative properties?
Synthesis: How would you rearrange an expression
that includes addition and multiplication to make a
different, yet equal expression?EASYCOMPLEX