Unit Conversion
▶︎ Watch it animatedinteractive step-through · ~3 min · optionalA conversion changes a quantity's label without changing the quantity, and the whole game is one factor handled honestly. The arithmetic is a single multiply or divide. The points leak in the direction, a factor run backward or swapped for its metric neighbor, in the dimensions, an area or volume converted by the linear factor, and at the end, a correct answer reported in the wrong unit.
These patterns aren't really about whether you know that a foot holds twelve inches. They're about whether the number grew when the unit shrank, whether the factor got squared for an area and cubed for a volume, and whether the number you gridded carries the unit the question's last line names.
The work
4 ways in · any order
Lesson
Unit Conversion
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Point each conversion factor by the units, square it for areas and cube it for volumes, convert a rate's two units one at a time, and finish in the unit the question names. The lesson works the method and the three patterns that derail it, and it saves the trap for last: a perfect answer wearing the wrong unit.
Diagnostic
10-item topic check
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Ten items across the three patterns: converting an area or volume with the linear factor, running the factor the wrong way or using the wrong one, and answering in the units given rather than asked. A mix of lengths, times, areas, volumes, and rates. Take it cold to surface the ones still catching you, or after the lesson to confirm they are gone.
Grid-in Check
Student-produced response
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About a quarter of SAT math answers are typed, not chosen, with no options to react to. These grid-in items diagnose by the value you enter, then route into the same drills the multiple-choice check feeds.
Targeted Practice
Drill a single pattern
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Pick one of the failure modes you've missed and grind it on its own. The round is adaptive: two correct in a row clears the pattern and you move on.