Thinking Summary · 1
MasteredEquation Logic: .
[Discovery] How many DIFFERENT rectangles (with whole-number sides) can you build using exactly 17 tiles? (Count 1×17 once.)
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Active StepWelcome to "Solo Donut Detector", a 4th Grade Primes mission at the Explorer (core) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "How many DIFFERENT rectangles (with whole-number sides) can you build using exactly 17 tiles? (Count 1×17 once.)" You'll work with the numbers 17, 1 and arrive at a final answer of 2 across 3 guided steps.
Behind the bakery story, this lesson is really about primes aligned to CCSS 4.OA.B.4. Determine whether a given whole number in the range 1-100 is prime or composite. The key strategy this mission asks you to internalise: Count distinct rectangles you can make.
A general pattern to watch for in 4th Grade primes — illustrated with example numbers below, which may differ from this lesson's: Calling 1 a prime number. 1 has only ONE factor; primes have exactly TWO. The definition matters more than intuition. If you get stuck on "Solo Donut Detector", the adaptive Socratic hints below escalate from a gentle nudge to a worked-out strategy — the same way a one-on-one tutor would coach you through it.
Grade 4 · Primes
Mission Progress
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Thinking Summary · 1
MasteredEquation Logic: .
[Discovery] How many DIFFERENT rectangles (with whole-number sides) can you build using exactly 17 tiles? (Count 1×17 once.)
1
Active StepEverything you need to know about the Socratic experience.
How many DIFFERENT rectangles (with whole-number sides) can you build using exactly 17 tiles? (Count 1×17 once.) Hint: 17 is special — only the 1 × 17 strip fits.
How many factors does 17 have? (Count 1 and 17 too.) If you get stuck, the adaptive hint is: A prime number has exactly 2 factors.
Explorer missions hit the core abstraction at typical numeric ranges — this is where conceptual mastery is built. Within 4th Grade Primes, expect numbers in the corresponding range.
Calling 2 composite (because it's "even"). 2 IS prime — it's the only even prime. "Even" is unrelated to "composite".
Factors (Primes are the atoms of factor lists — every composite breaks into a unique prime product.). Open /grade-4/factors to start that topic's missions.
C-P-A is the Singapore Math sequence proven to deepen number sense: first manipulate physical objects (Concrete), then draw pictures of them (Pictorial), and only then write equations (Abstract). Inquiry AI structures every mission as exactly these three steps — a manipulative, a picture/grid model, and finally the equation. Skipping straight to symbols is the #1 cause of math anxiety; the platform refuses to do it.
Pure discovery is inefficient — kids hit a wall and quit. Guided Discovery scaffolds the path: a careful sequence of questions, models, and adaptive hints leads the learner toward the insight without revealing it. Inquiry AI's hint system fires automatically after ~15s of hesitation or on the first mistake, escalating from a Socratic nudge to a worked example only when needed. Mistakes are diagnosed via "misconception keys" so the hint matches the actual wrong-thinking pattern.