standard_description: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. (Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade.)
problem_activity: Narrative
The purpose of this Number Talk is to elicit strategies and understandings students have for adding more than 2 two-digit numbers by making 100. The unit of cents also encourages students to consider how the value could be expressed using dollars, cents, or a combination of the two units. These understandings help students develop fluency.
Launch
Display one expression.
“Give me a signal when you have an answer and can explain how you got it.”
1 minute: quiet think time
Activity
Record answers and strategies.
Keep expressions and work displayed.
Repeat with each expression.
Student Facing
Find the value of each expression mentally.
\(80¢ + 20¢ + 37¢\)
\(80¢ + 20¢+ 37¢+ 42¢\)
\(75¢ + 37¢ + 25¢\)
\(75¢ + 80¢ + 25¢ + 20¢\)
Student Response
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Activity Synthesis
Revisit a student strategy that shows looking for a way to make 100 first and expresses the total in cents.
Consider asking:
“Who can restate _____'s reasoning in a different way?”
“Who can restate _____'s reasoning using dollars and cents?”


aligns: no