Welcome to "Probe Factor Sorter", a 4th Grade Factors mission at the Challenger (stretch) level, staged in our space exploration scenario. The mission opens with a hands-on prompt: "Build a rectangle with 72 square tiles. Use 8 rows and 9 columns." You'll work with the numbers 72, 8, 9 and arrive at a final answer of 72 across 3 guided steps.
Behind the space exploration 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: 8 × 9 = ?
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 "Probe Factor 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 72 square tiles. Use 8 rows and 9 columns.
1
Active StepAdjust dimensions to match the target
Everything you need to know about the Socratic experience.
Build a rectangle with 72 square tiles. Use 8 rows and 9 columns. Hint: Set the grid to 8 × 9.
Is 8 a factor of 72? If you get stuck, the adaptive hint is: Factor pairs always come in twos.
Challenger missions push beyond CCSS expectations with edge cases that surface deeper misconceptions. 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.
Multidigitmult (Factor pairs are the building blocks of multiplication facts.). Open /grade-4/multidigitmult 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.
Yes. Every mission, handbook page, and topic hub is mapped to a specific CCSS code (visible in the page header). The curriculum follows the CCSS coherence map: Grade 1 number sense → Grade 3 multiplicative thinking → Grade 6 ratio reasoning, with each grade building strictly on the prior year's foundations.
