Tables and Graphs
▶︎ Watch it animatedinteractive step-through · ~3 min · optionalA table or graph hands you every number you need and several you do not, and the whole game is three honest reads. The points leak at the address, a value pulled from a neighboring cell, a row total, or a bar read without its axis scale, at the base, a fraction built on the grand total when the question restricted to a group, and at the end, in the answer's type: a count where a share was asked.
These patterns aren't really about whether you can read a table. They're about whether both labels got checked before a value was trusted, whether the of-phrase set the denominator, and whether the number you reported is the count or the fraction the question actually named.
The work
4 ways in · any order
Lesson
Tables and Graphs
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Pin every cell with both labels, apply the axis scale and the pictograph key, let the of-phrase choose each denominator, and answer as a count or a share. The lesson works the method and the three patterns that derail it, and it saves the trap for last: perfect table work reported as the wrong type.
Diagnostic
10-item topic check
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Ten items across the three patterns: reading the wrong cell, row, or scale, building a fraction on the wrong base, and reporting a count where a fraction was asked. A mix of two-way tables, bar graphs, pictographs, and complements. 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.