Challenger · stretch problem • Multi-Digit Multiplication • 4th Grade • Bakery scenario

Pastry Inventory Lab: 4th Grade Multi-Digit Multiplication Practice

Welcome to "Pastry Inventory Lab", a 4th Grade Multi-Digit Multiplication 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 multi-digit multiplication 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 multi-digit multiplication — 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

Pastry Inventory Lab

Mission Progress

0/3

Thinking Summary · 1

Mastered

[object Object]

[Discovery] Decompose 37 × 24 into place-value parts and fill each cell of the partial-products box.

Active Step

[Discovery] Decompose 37 × 24 into place-value parts and fill each cell of the partial-products box.

Partial Products Box

Decompose 37 × 24 into place-value parts. Fill each cell, then sum.

	× 30	× 7
20 ×
4 ×

Sum of Partials

—

Target

888

FAQ

Common Questions

Everything you need to know about the Socratic experience.

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01 How do I solve the first step of "Pastry Inventory Lab"?

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.

02 What does the final step of "Pastry Inventory Lab" check?

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.

03 Why is this mission classified as challenger?

Challenger missions push beyond CCSS expectations with edge cases that surface deeper misconceptions. Within 4th Grade Multi-Digit Multiplication, expect numbers in the corresponding range.

04 What's a common mistake in 4th Grade Multi-Digit Multiplication that this mission targets?

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.

05 What should I learn after Pastry Inventory Lab?

Long Division (Inverse partner — division uses the same place-value strategy in reverse.). Open /grade-4/longdivision to start that topic's missions.

06 What is the Concrete-Pictorial-Abstract (C-P-A) approach?

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.

07 What is inquiry-based learning, and how does Inquiry AI apply 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.