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 "Fuel Percent Burn", 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, 60 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: 18.
A general pattern to watch for in 6th Grade percentages — illustrated with example numbers below, which may differ from this lesson's: Confusing percent of part with percent of whole. Read carefully: "20% of the class" vs "20% increase". Different setups. 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
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.
6th Grade Percentages explorer-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 explorer · core practice 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: 18. A useful check is to ask whether the answer avoids this pitfall: Treating "% of" as addition instead of multiplication. In math, "of" = multiply. 50% of 80 = 0.5 × 80 = 40, not 50 + 80.
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.
Treating "% of" as addition instead of multiplication. In math, "of" = multiply. 50% of 80 = 0.5 × 80 = 40, not 50 + 80.
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.
Inquiry-based learning starts with a question, not a formula — students explore, hypothesize, and verify before being told the rule. In Inquiry AI, every mission opens with a "Discovery" step (manipulate the model), then "Abstraction" (write the equation), then "Reflect" (apply to a new case). The procedure is never given upfront; learners derive it from their own observations.