Welcome to "Pastry Inventory Lab", a 4th Grade Multidigitmult mission at the Challenger (stretch) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "Decompose 37 × 24 into place-value parts and fill each cell of the partial-products box." You'll reason about the numbers 37, 24 across 3 guided steps.
Behind the bakery story, this lesson is really about multidigitmult aligned to CCSS 4.NBT.B.5. Multiply a whole number of up to four digits by a one-digit number, and multiply two two-digit numbers, using strategies based on place value. The key strategy this mission asks you to internalise: 37 × 24 = ?
A general pattern to watch for in 4th Grade multidigitmult — illustrated with example numbers below, which may differ from this lesson's: Forgetting the place-holder zero on the second row of the standard algorithm. The second row is multiplying by *tens*, not ones — always tag it with a 0 in the ones column first. If you get stuck on "Pastry Inventory Lab", 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 · Multidigitmult
Mission Progress
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Thinking Summary · 1
Mastered[object Object]
[Discovery] Decompose 37 × 24 into place-value parts and fill each cell of the partial-products box.
1
Active StepDecompose 37 × 24 into place-value parts. Fill each cell, then sum.
| × 30 | × 7 | |
|---|---|---|
| 20 × | ||
| 4 × |
Everything you need to know about the Socratic experience.
Decompose 37 × 24 into place-value parts and fill each cell of the partial-products box. Hint: Break 37 into tens + ones, 24 into tens + ones, then multiply each pair.
Does 24 × 37 give the same answer as 37 × 24? If you get stuck, the adaptive hint is: Same factors, same product, regardless of order.
Challenger missions push beyond CCSS expectations with edge cases that surface deeper misconceptions. Within 4th Grade Multidigitmult, expect numbers in the corresponding range.
Multiplying only ones × ones and tens × tens (skipping the cross terms). The area model has *four* boxes for a reason. Every digit on top must meet every digit on the bottom.
Longdivision (Inverse partner — division uses the same place-value strategy in reverse.). Open /grade-4/longdivision 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.
