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ACL (AOS/AET) Critical Thinking Prep
STEM critical-thinking questions in the style of the Academies of Loudoun admissions test — math reasoning, logic, spatial visualization, circuits, and data interpretation.
Writing Assessment (AOS/AET)
Respond to a real-style AOS/AET scenario and get instant AI feedback scored against LCPS's actual released 5-indicator rubric — Questioning, Evidence, Fluency, Presentation, and Perspective.
📐 Math/Quant
- Percent change = (new − old) ÷ old × 100
- Average speed = total distance ÷ total time
- Probability = favorable outcomes ÷ total outcomes
- Ratio problems: cross-multiply — a/b = c/d → a·d = b·c
- Simple interest = principal × rate × time
- Combinations (order doesn't matter) vs. permutations (order matters) — ask "does swapping two items make a new outcome?"
📏 Spatial/Geometric
- Rectangle: area = length × width; perimeter = 2(l + w)
- Triangle: area = ½ × base × height
- Circle: area = πr²; circumference = 2πr
- Pythagorean theorem: a² + b² = c² (right triangles only)
- Rectangular prism volume = length × width × height
- Cylinder volume = πr² × height
🧩 Logic/Reasoning strategies
- Eliminate answers you know are wrong before picking one you think is right.
- For ordering/scheduling puzzles, sketch the sequence out — don't try to hold it in your head.
- Separate the claim from the reasoning: what's being concluded vs. why.
- Watch conditional statements ("if X, then Y") — the reverse ("if Y, then X") isn't automatically true.
- A pattern holding for 2–3 examples isn't proof it holds for all — check whether the question is asking for "must be true" or "could be true."
- Re-read the question stem after solving — it's easy to answer a question the passage didn't actually ask.
✍️ Writing Assessment tips (AOS/AET)
LCPS's real 5-indicator rubric:
- Questioning/Processing — ask probing, open-ended questions, not closed yes/no ones.
- Information Gathering/Analysis — cite specific, relevant sources or methods.
- Fluency/Originality — generate 3+ distinct, original ideas, not one idea restated.
- Presentation/Reasoning — organize clearly and genuinely engage a counter-argument.
- Point of View — describe impact on a wide audience, not just yourself.
Grammar, spelling, and syntax do NOT count against you here — official LCPS rule.
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⚠️ AI feedback is a practice supplement, not a substitute for an in-person coach — especially for anything where bad form could cause injury (lifting, gymnastics, sprinting, etc.).