Write, interpret, and compare ratios using words, symbols, tables, and diagrams.
Screen for matching ratio representations
Problem
Evaluate every representation below against the ratio \(2~\text{cats}~\text{to}~5~\text{dogs}\).
A. \(2:5\) B. \(\text{cats}~:~\text{dogs}~=~2~:~5\) C. A table with \(\text{cats}~=~2,~4,~6~\text{and}~\text{dogs}~=~5,~10,~15\) D. A diagram with \(2~\text{cat}~\text{icons}\) and \(5~\text{dog}~\text{icons}\) E. \(5:2\) F. \(2/7\)
Include every correct match.
Big Picture
What this problem is really about
Every match must preserve cats first, dogs second, and the same multiplicative relationship as two to five. We’ll test direct notation, labeled notation, each table row, and the picture, then reject forms that reverse the order or switch the second quantity to all animals. Checking the entire list ensures a complete set.
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