| Mult (×) |
| \(8k = 56 \implies \mathbf{k = 7}\) |
| \(7w = 42 \implies \mathbf{w = 6}\) |
| Divide by coefficient on both sides |
| 8 | Div (÷) | \(\frac{a}{6} = 8 \implies \mathbf{a = 48}\) | \(\frac{r}{7} = 6 \implies \mathbf{r = 42}\) | Multiply by denominator on both sides |
| 9 | Mult (×) | \(7c = 63 \implies \mathbf{c = 9}\) | \(9d = 72 \implies \mathbf{d = 8}\) | Divide by coefficient on both sides |
| 10 | Div (÷) | \(\frac{t}{9} = 5 \implies \mathbf{t = 45}\) | \(\frac{v}{8} = 7 \implies \mathbf{v = 56}\) | Multiply by denominator on both sides |
Type A: Inverse Confusion
Student uses given operation instead of inverse (e.g. adds 8 instead of subtracting in \(x + 8 = 19\)).
Action: Balance scale visual & operation cue cards.
Type B: Fact / Computation
Correct inverse chosen, but basic arithmetic fact incorrect (e.g. calculates \(56 \div 8 = 6\)).
Action: Multiplication table accommodation & drills.
Type C: One-Sided Operation
Applies operation to only one side of the equals sign, violating equality balance.
Action: Draw vertical 'line of equality' down equals sign.
IEP Progress Report Summary Note (Quarterly / Annual)
Status: [ ] Mastered (≥80% both) [ ] Progressing [ ] Not Met
"Across two standardized probes administered on and , [Student] solved one-step equations involving all 4 operations with an average accuracy of % (Trial 1: %, Trial 2: %). Performance indicates the 80% accuracy IEP goal criteria is ."
Evaluator Signature:
Date Signed: