Welcome to "Brownie Pair Maker", a 4th Grade Factors mission at the Challenger (stretch) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "Build a rectangle with 48 square tiles. Use 6 rows and 8 columns." You'll work with the numbers 48, 6, 8 and arrive at a final answer of 48 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: 6 × 8 = ?
A general pattern to watch for in 4th Grade factors — illustrated with example numbers below, which may differ from this lesson's: 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. If you get stuck on "Brownie Pair Maker", 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 48 square tiles. Use 6 rows and 8 columns.
1
Active StepAdjust dimensions to match the target
Everything you need to know about the Socratic experience.
Build a rectangle with 48 square tiles. Use 6 rows and 8 columns. Hint: Set the grid to 6 × 8.
Is 6 a factor of 48? 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.
Confusing factors with multiples. Factors are *inside* the number (smaller, divide evenly). Multiples are *outside* (bigger, the number times something).
Primes (A prime number is one with exactly one factor pair: (1, itself).). Open /grade-4/primes to start that topic's missions.
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.
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.
