options: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Use equivalent fractions as a strategy to add and subtract fractions.

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.

Extend understanding of fraction equivalence and ordering.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.

Develop Understanding of fractions as numbers.
Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.

Understand decimal notation for fractions, and compare decimal fractions.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
problem_activity: Narrative
The purpose of this Number Talk is for students to interpret a fraction as division of the numerator by the denominator. The strategies elicited here will be helpful later in the lesson when students match division situations, expressions, and diagrams. In this activity, students have an opportunity to notice and make use of structure (MP7) because the divisor stays the same.
Launch
Display one problem.
“Give me a signal when you have an answer and can explain how you got it.”
Activity
1 minute: quiet think time
Record answers and strategy.
Keep problems and work displayed.
Repeat with each problem.
Student Facing
Find the value of each expression mentally.
\(35 \div 7\)
\(1 \div 7\)
\(36 \div 7\)
\(37 \div 7\)
Student Response
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Activity Synthesis
“What patterns do you notice?” (The solutions for
\(35 \div 7\)
,
\(36 \div 7\)
,
\(37 \div 7\)
increase by
\(\frac {1}{7}\)
)
“If we kept increasing the dividend by 1, what would be the next whole number quotient?” (6)


correct_option_index: 0