Thinking Summary · 1
Mastered[object Object]
[Discovery] Shade 20 cells on the 10×10 grid to show 20%.
1
Active Step[Discovery] Shade 20 cells on the 10×10 grid to show 20%.
Percent Grid
Shade 20 of 100 cells.
0/100 (0%)
10 × 10
Welcome to "Fuel Percent Burn", a 6th Grade Percentages mission at the Seedling (entry-level) level, staged in our space exploration scenario. The mission opens with a hands-on prompt: "Shade 20 cells on the 10×10 grid to show 20%." You'll work with the numbers 20, 10, 40 and arrive at a final answer of 0.2 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: 8.
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 "Fuel Percent Burn", 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
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Thinking Summary · 1
Mastered[object Object]
[Discovery] Shade 20 cells on the 10×10 grid to show 20%.
1
Active StepShade 20 of 100 cells.
6th Grade Percentages seedling-2 representative practice page for students who need a crawlable, worked entry point into the topic without exposing every near-duplicate long-tail mission.
This seedling · gentle warm-up mission uses a percent grid to move from the story to a precise percentages idea. Work through the prompts in order: notice the structure first, name the quantities, then check whether the final answer fits the original situation.
In 6th Grade Percentages, students need to connect the story, the model, and the symbolic answer. The core move here is: Answer: 8. A useful check is to ask whether the answer avoids this pitfall: Confusing percent of part with percent of whole. Read carefully: "20% of the class" vs "20% increase". Different setups.
Everything you need to know about the Socratic experience.
Shade 20 cells on the 10×10 grid to show 20%. Hint: 20% means 20 per 100. Each cell is 1%.
Convert 20% to a decimal. If you get stuck, the adaptive hint is: Answer: 0.2.
Seedling missions anchor the visual model with small, friendly numbers — ideal as the first attempt at this topic. 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.
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.
Research on "productive struggle" shows that 20–60 seconds of focused effort BEFORE help dramatically improves long-term retention — the brain encodes the strategy more deeply. Inquiry AI's hint timing is calibrated to this window: short enough to prevent frustration, long enough to lock in the learning. Parents can adjust the threshold in settings if a learner needs faster scaffolding.