170 Multiplication and Division Concepts
Successful Strategies
Encourage students to come up with ways to record the
partial quotients. Students may decide to record the partial
quotients with a different color marker, on a separate sheet
of paper, or on sticky notes. If students fi gure out what
works best for them, they are more likely to know what to
do because they understand why it works. As with partial
products, even if students successfully use the traditional
algorithm, learning the partial quotients concept strengthens
conceptual understanding, increases mental math capacity,
and improves fl exibility and fl uency.partial, part, quotient, divide,
division, strategy, equation,
equal, dividend, divisorMath Words to Use
Questions at Different Levels of Cognitive Demand
Recall: What is 120 divided by fi ve?
Comprehension: How would you divide 270 by 45?
Application: How do you show a remainder?
Analysis: How would you categorize your partial
quotients?
Evaluation: Which initial partial quotient do you
recommend? Why?
Synthesis: What if the remainder was divided into
fractions?EASYCOMPLEX