Welcome to "Mission Multiple Lab", a 6th Grade Gcflcm mission at the Explorer (core) level, staged in our space exploration scenario. The mission opens with a hands-on prompt: "Sort each factor of 40 and 60 into A-only, both, or B-only zones. The largest "both" chip IS the GCF." You'll work with the numbers 40, 60 and arrive at a final answer of 120 across 3 guided steps.
Behind the space exploration story, this lesson is really about gcflcm aligned to CCSS 6.NS.B.4. Find the greatest common factor of two whole numbers ≤ 100 and the least common multiple of two whole numbers ≤ 12. The key strategy this mission asks you to internalise: Answer: 20.
A general pattern to watch for in 6th Grade gcflcm — illustrated with example numbers below, which may differ from this lesson's: Stopping the multiples list too early. Both numbers must hit the same value. Keep listing until they do. If you get stuck on "Mission Multiple 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 6 · Gcflcm
Mission Progress
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Thinking Summary · 1
Mastered[object Object]
[Discovery] Sort each factor of 40 and 60 into A-only, both, or B-only zones. The largest "both" chip IS the GCF.
1
Active StepPlace each factor into A=40, both, or B=60. Tap a chip to cycle.
Everything you need to know about the Socratic experience.
Sort each factor of 40 and 60 into A-only, both, or B-only zones. The largest "both" chip IS the GCF. Hint: Tap each chip to cycle: A → both → B. Common factors land in the middle.
Find LCM(40, 60). If you get stuck, the adaptive hint is: Answer: 120.
Explorer missions hit the core abstraction at typical numeric ranges — this is where conceptual mastery is built. Within 6th Grade Gcflcm, expect numbers in the corresponding range.
Picking primes-only when GCF = product of shared lowest powers. GCF includes ALL shared prime factors at their LOWEST exponent.
Unlikedenom (LCM is the LCD when adding fractions.). Open /grade-6/unlikedenom 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.
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.
