Problem preview
MF.SN.3 Challenge MF-025-A12-V03

Multiply and divide signed numbers and interpret sign patterns correctly.

Recognize equivalent signed multiplication and division models

Problem

Represent a scuba diver rising \(2.5~\text{meters}~\text{each}~\text{minute}\) for \(4~\text{minutes}\). Identify exactly \(\text{all}~\text{representations}\) that preserve this repeated positive-change situation, not merely its final amount. Report the complete set of labels.

Target situation: A scuba diver rises \(2.5~\text{meters}~\text{each}~\text{minute}\) for \(4~\text{minutes}\).

Representations:
A. \((-2.5)(4)\)
B. \(4\) groups of \(+2.5\)
C. \((+2.5)~+~(+2.5)~+~(+2.5)~+~(+2.5)\)
D. \((+2.5)(4)\)
E. A diver descends \(2.5~\text{meters}~\text{each}~\text{minute}\) for \(4~\text{minutes}\)
F. \(10~\div~4\)
G. the change is opposite to \((-2.5)(4)\)
H. \(2.5~-~4\)

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Four variants of this problem type
Curriculum context
Standard
MF.SN.3
Category
Signed Numbers
Domain
Operations
Objective
Multiply and divide signed numbers and interpret sign patterns correctly.
Problem type
Recognize equivalent signed multiplication and division models