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Short cards on the techniques and facts the tactics call on. Each ends with one quick check.
- TechniqueName every unknown and its unit before you write3 min
- TechniqueUndo each operation, in reverse, on both sides3 min
- TechniqueMultiply every term by every term, signs included3 min
- TechniqueAdd coefficients only when the variable parts match3 min
- TechniqueMultiply every term once and the fractions are gone3 min
- TechniqueSwap in the value, parentheses and all3 min
- TechniqueScale to opposites, add, and one variable cancels3 min
- TechniqueRewrite a line to show the feature you need3 min
- TechniqueChange in output over change in input, same order3 min
- TechniqueSet the other variable to zero, then solve3 min
- TechniqueTurn one identity into one equation per power3 min
- TechniquePull out the common factor, then match a pattern3 min
- TechniqueAdd half the x-coefficient, squared, to both sides3 min
- TechniqueCollect to zero, read a, b, and c, then solve or count3 min
- TechniqueRewrite everything as one base to one power3 min
- TechniqueFactor, then cancel factors or share a denominator3 min
- TechniqueIsolate the radical, square, then test every solution3 min
- TechniqueIsolate the bars, then solve the plus and minus cases3 min
- TechniqueWrite any percent change as a single factor4 min
- TechniqueCross-multiply, or scale one fraction into the other3 min
- TechniqueMultiply by fractions equal to 1 until units cancel3 min
- TechniqueFill every blank, then find the condition's total3 min
- TechniqueUnpack any display into values, then measure3 min
- TechniqueRead the scale before you read the value3 min
- TechniqueMatch the factor to the step it covers3 min
- TechniqueHypotenuse alone on one side, legs on the other3 min
- TechniqueStand at the angle, then name every side3 min
- TechniqueKnow the shape, then scale it to the given side3 min
- TechniquePass a known angle along, one fact per move3 min
- TechniqueFind k once, then raise it to the right power3 min
- TechniqueName the shape, then run its formula either way3 min
- TechniqueRead center and radius, then slice arcs by angle3 min
- TechniquePlug the point in, then read the line and the shading3 min
- TechniqueGraph, click, slide, or fit, then confirm by hand3 min
- TechniqueInput given, substitute; output given, solve3 min
- TechniqueOutside moves go as written; inside moves run backward3 min
- TechniqueConvert units, strip full turns, then read the angle3 min
- TechniqueFind the middle line, then evaluate there3 min
- TechniqueSolve like an equation; flip for negatives3 min
- TechniqueStart counts once; the rate counts every extra unit3 min
- TechniqueSame difference is linear; same ratio is exponential3 min
- TechniqueGet the sum or product without finding the roots3 min
- FactKeep every sign and do the steps in order2 min
- FactCommon denominators to add, flip and multiply to divide2 min
- FactCombine terms only when letters and powers match2 min
- FactKeep an equation true while you take it apart2 min
- FactA negative multiplier reverses the inequality2 min
- FactSet each factor to 0, but only when the product is 02 min
- FactRead steepness and starting value straight off a line2 min
- FactSet the other variable to 0 and solve2 min
- FactCopy the slope, or flip it and change its sign2 min
- FactExpand squares in full and factor differences fast2 min
- FactTurn every root and reciprocal into one exponent2 min
- FactCount the solutions, then find them, for any quadratic2 min
- FactFind a parabola's turning point in one line2 min
- FactTwo cases, one sign check, no missed solutions2 min
- FactRead the start and the multiplier off the model2 min
- FactThe one-line fact behind every percent question2 min
- FactCount what you want over everything possible2 min
- FactKnow what each measure counts and what moves it2 min
- FactMore random data narrows the plausible range2 min
- FactKnow who a result covers and whether it shows cause2 min
- FactKnow the factor, then square it for square units2 min
- FactFill in any missing angle from 180 or 3602 min
- FactEight angles, two measures, one sum of 1802 min
- FactSkip the third angle: add the far two2 min
- FactLook across from the equal sides for the equal angles2 min
- FactSquare the legs, add, and spot the triples on sight2 min
- FactRead all three sides from one side and one angle2 min
- FactName the sides from the angle, then swap at 902 min
- FactKnow the reference sheet before you need it2 min
- FactFour facts that run nearly every circle question2 min
- FactConvert with pi over 180, then strip full turns2 min
- FactAngles stay put; lengths, areas, and volumes scale2 min
- FactTrap any root between two perfect powers2 min
- FactSwap in the input; add outside to shift up2 min
- FactThree parts for congruent, two angles for similar2 min
- FactRead zeros, factors, and remainders as one fact2 min