Welcome to "Profit-Loss Lab", a 6th Grade Negatives mission at the Challenger (stretch) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "Place the marker on -51. Notice how many units LEFT of zero it sits." You'll reason about the numbers 51, 33 across 3 guided steps.
Behind the bakery story, this lesson is really about negatives aligned to CCSS 6.NS.C.5. Understand that positive and negative numbers are used together to describe quantities having opposite directions or values. The key strategy this mission asks you to internalise: Answer: -18.
A general pattern to watch for in 6th Grade negatives — illustrated with example numbers below, which may differ from this lesson's: Saying |−5| = −5. Absolute value is always non-negative — it's a distance. If you get stuck on "Profit-Loss 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 · Negatives
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Thinking Summary · 1
Mastered[object Object]
[Discovery] Place the marker on -51. Notice how many units LEFT of zero it sits.
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Active StepPlace the marker on -51.
Everything you need to know about the Socratic experience.
Place the marker on -51. Notice how many units LEFT of zero it sits. Hint: -51 is 51 units left of zero.
What is |-51|? If you get stuck, the adaptive hint is: Answer: 51.
Challenger missions push beyond CCSS expectations with edge cases that surface deeper misconceptions. Within 6th Grade Negatives, expect numbers in the corresponding range.
Confusing the sign of the result when subtracting negatives. Subtracting a negative is adding: 5 − (−3) = 5 + 3 = 8.
Quadrants (Negative coordinates extend the plane into four quadrants.). Open /grade-6/quadrants 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.
