Challenger · stretch problem Multidigitmult 4th Grade Bakery scenario

Cookie Tray Multiplier: 4th Grade Multidigitmult Practice

Welcome to "Cookie Tray Multiplier", a 4th Grade Multidigitmult mission at the Challenger (stretch) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "Decompose 23 × 14 into place-value parts and fill each cell of the partial-products box." You'll reason about the numbers 23, 14 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: 23 × 14 = ?

A general pattern to watch for in 4th Grade multidigitmult — illustrated with example numbers below, which may differ from this lesson's: Misaligning partial products before summing. Use graph paper or column lines. Partial products live in different place-value columns and must stack accordingly. If you get stuck on "Cookie Tray Multiplier", 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

Cookie Tray Multiplier

Mission Progress

0/3

Thinking Summary · 1

Mastered

[object Object]

[Discovery] Decompose 23 × 14 into place-value parts and fill each cell of the partial-products box.

1

Active Step

[Discovery] Decompose 23 × 14 into place-value parts and fill each cell of the partial-products box.

Partial Products Box

Decompose 23 × 14 into place-value parts. Fill each cell, then sum.

× 20× 3
10 ×
4 ×
Sum of Partials
Target
322
Challenger stretch check

What students practice on this page

4th Grade Multidigitmult challenger-1 representative practice page for students who need a crawlable, worked entry point into the topic without exposing every near-duplicate long-tail mission.

  • Practice multidigitmult through a partial-products box before writing the final answer.
  • Move across 3 Socratic steps: notice the situation, connect the model, then check the symbolic answer.
  • Use this challenger-1 representative mission as the indexable entry point for the wider 4th Grade Multidigitmult sequence.
Worked Practice Guide

How to solve Cookie Tray Multiplier

This challenger · stretch problem mission uses a partial-products box to move from the story to a precise multidigitmult idea. Work through the prompts in order: notice the structure first, name the quantities, then check whether the final answer fits the original situation.

1 Discovery partial-products box

Decompose 23 × 14 into place-value parts and fill each cell of the partial-products box.

Expected reasoning
a: 23; b: 14
Teacher hint
23 × 14 = 322.
2 Abstraction number sentence

Multiply 23 × 14. What is the total number of cookies?

Expected reasoning
322
Teacher hint
23 × 14 = ?
3 Reflect multiple-choice check

Does 14 × 23 give the same answer as 23 × 14?

Expected reasoning
answer: Yes; options: Yes, No
Teacher hint
Same factors, same product, regardless of order.

Why this mission matters

In 4th Grade Multidigitmult, students need to connect the story, the model, and the symbolic answer. The core move here is: 23 × 14 = ? A useful check is to ask whether the answer avoids this pitfall: 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.

How to start and what to do next

  • Use this representative page when the student is ready for mixed representations and test-style traps.
  • If the student cannot explain the partial-products box, use the topic guide before assigning more missions.
  • If the partial-products box is clear, ask the student to restate the same idea with the number sentence.
Related concept path

Continue from this representative mission

No long-tail expansion
Extra practice without extra index bloat

Try these variations after the mission

  • Change the key number set from 23, 14 to 24, 15 and solve the same structure again.
  • Write a second version of the problem and explain how the model proves your answer.
  • Ask the student to explain the first step without calculating first; the goal is to name the partial-products box before using a rule.

Mastery Expansion

View Topic Hub →
FAQ

Common Questions

Everything you need to know about the Socratic experience.

01 How do I solve the first step of "Cookie Tray Multiplier"?

Decompose 23 × 14 into place-value parts and fill each cell of the partial-products box. Hint: Break 23 into tens + ones, 14 into tens + ones, then multiply each pair.

02 What does the final step of "Cookie Tray Multiplier" check?

Does 14 × 23 give the same answer as 23 × 14? 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 Multidigitmult, expect numbers in the corresponding range.

04 What's a common mistake in 4th Grade Multidigitmult that this mission targets?

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.

05 What should I learn after Cookie Tray Multiplier?

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

06 Is Inquiry AI Common Core aligned?

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.

07 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.