Thinking Summary · 1
Mastered[object Object]
[Discovery] Shade 30 cells on the 10×10 grid to show 30%.
1
Active Step[Discovery] Shade 30 cells on the 10×10 grid to show 30%.
Percent Grid
Shade 30 of 100 cells.
0/100 (0%)
10 × 10
Welcome to "Mission Profit Percent", a 6th Grade Percentages mission at the Explorer (core) level, staged in our space exploration scenario. The mission opens with a hands-on prompt: "Shade 30 cells on the 10×10 grid to show 30%." You'll work with the numbers 30, 10, 140 and arrive at a final answer of 0.3 across 3 guided steps.
Behind the space exploration story, this lesson is really about percentages aligned to CCSS 6.RP.A.3.C. Find a percent of a quantity as a rate per 100; solve problems involving finding the whole, given a part and the percent. The key strategy this mission asks you to internalise: Answer: 42.
A general pattern to watch for in 6th Grade percentages — illustrated with example numbers below, which may differ from this lesson's: Forgetting to divide by 100 when converting %. 25% = 0.25, NOT 25. Always divide by 100 when computing. If you get stuck on "Mission Profit Percent", 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 · Percentages
Mission Progress
0/3
Thinking Summary · 1
Mastered[object Object]
[Discovery] Shade 30 cells on the 10×10 grid to show 30%.
1
Active StepShade 30 of 100 cells.
Everything you need to know about the Socratic experience.
Shade 30 cells on the 10×10 grid to show 30%. Hint: 30% means 30 per 100. Each cell is 1%.
Convert 30% to a decimal. If you get stuck, the adaptive hint is: Answer: 0.3.
Explorer missions hit the core abstraction at typical numeric ranges — this is where conceptual mastery is built. Within 6th Grade Percentages, expect numbers in the corresponding range.
Confusing percent of part with percent of whole. Read carefully: "20% of the class" vs "20% increase". Different setups.
Ratios (Percent is the standard "per 100" ratio.). Open /grade-6/ratios to start that topic's missions.
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.
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.