Challenger · stretch problem • Primes • 4th Grade • Bakery scenario

Atom Cookie Sorter: 4th Grade Primes Practice

Welcome to "Atom Cookie Sorter", a 4th Grade Primes mission at the Challenger (stretch) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "How many DIFFERENT rectangles (with whole-number sides) can you build using exactly 47 tiles? (Count 1×47 once.)" You'll work with the numbers 47, 1 and arrive at a final answer of 2 across 3 guided steps.

Behind the bakery story, this lesson is really about primes aligned to CCSS 4.OA.B.4. Determine whether a given whole number in the range 1-100 is prime or composite. The key strategy this mission asks you to internalise: Count distinct rectangles you can make.

A general pattern to watch for in 4th Grade primes — illustrated with example numbers below, which may differ from this lesson's: Calling 1 a prime number. 1 has only ONE factor; primes have exactly TWO. The definition matters more than intuition. If you get stuck on "Atom Cookie 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 · Primes

Atom Cookie Sorter

Mission Progress

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Thinking Summary · 1

Mastered

Equation Logic: .

[Discovery] How many DIFFERENT rectangles (with whole-number sides) can you build using exactly 47 tiles? (Count 1×47 once.)

Active Step

[Discovery] How many DIFFERENT rectangles (with whole-number sides) can you build using exactly 47 tiles? (Count 1×47 once.)

What is your reasoning?

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 "Atom Cookie Sorter"?

How many DIFFERENT rectangles (with whole-number sides) can you build using exactly 47 tiles? (Count 1×47 once.) Hint: 47 is special — only the 1 × 47 strip fits.

02 What does the final step of "Atom Cookie Sorter" check?

How many factors does 47 have? (Count 1 and 47 too.) If you get stuck, the adaptive hint is: A prime number has exactly 2 factors.

03 Why is this mission classified as challenger?

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

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

Calling 2 composite (because it's "even"). 2 IS prime — it's the only even prime. "Even" is unrelated to "composite".

05 What should I learn after Atom Cookie Sorter?

Factors (Primes are the atoms of factor lists — every composite breaks into a unique prime product.). Open /grade-4/factors 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 does it mean for a math platform to be "Socratic"?

Socratic teaching answers a question with a better question. Instead of "the answer is 12", the system asks "if you had 3 groups of 4, how could you skip-count?" The goal is to externalize the learner's reasoning so they hear themselves think. Every Inquiry AI hint follows this pattern: nudge → reframe → analogy → only then a worked example, in that order.