Welcome to "Donut Pair Sorter", a 4th Grade Factors mission at the Seedling (entry-level) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "Build a rectangle with 14 square tiles. Use 2 rows and 7 columns." You'll work with the numbers 14, 2, 7 and arrive at a final answer of 14 across 3 guided steps.
Behind the bakery story, this lesson is really about factors aligned to CCSS 4.OA.B.4. Find all factor pairs for a whole number in the range 1-100. The key strategy this mission asks you to internalise: 2 × 7 = ?
A general pattern to watch for in 4th Grade factors — illustrated with example numbers below, which may differ from this lesson's: Stopping too early — missing a pair like (1, N) or (N, 1). Every number has 1 and itself as factors. Always check both ends of the list. If you get stuck on "Donut Pair Sorter", 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 · Factors
Mission Progress
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Thinking Summary · 1
MasteredVisual Logic: 1 × 1 grid.
[Discovery] Build a rectangle with 14 square tiles. Use 2 rows and 7 columns.
1
Active StepAdjust dimensions to match the target
Everything you need to know about the Socratic experience.
Build a rectangle with 14 square tiles. Use 2 rows and 7 columns. Hint: Set the grid to 2 × 7.
Is 2 a factor of 14? If you get stuck, the adaptive hint is: Factor pairs always come in twos.
Seedling missions anchor the visual model with small, friendly numbers — ideal as the first attempt at this topic. Within 4th Grade Factors, expect numbers in the corresponding range.
Listing duplicate pairs (counting (3,4) and (4,3) as different). Order doesn't matter for factor pairs — list each pair once with the smaller number first.
Primes (A prime number is one with exactly one factor pair: (1, itself).). Open /grade-4/primes 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.
Inquiry-based learning starts with a question, not a formula — students explore, hypothesize, and verify before being told the rule. In Inquiry AI, every mission opens with a "Discovery" step (manipulate the model), then "Abstraction" (write the equation), then "Reflect" (apply to a new case). The procedure is never given upfront; learners derive it from their own observations.
