Welcome to "Donut Rate Plotter", a 6th Grade Variables mission at the Explorer (core) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "If a candy costs c dollars, the total cost 10c means 10 groups of c. Build it: place 10 x-tiles to represent 10 candies." You'll reason about the numbers 10, 5 across 3 guided steps.
Behind the bakery story, this lesson is really about variables aligned to CCSS 6.EE.B.6. Use variables to represent numbers and write expressions when solving real-world problems. The key strategy this mission asks you to internalise: Answer: 50.
A general pattern to watch for in 6th Grade variables — illustrated with example numbers below, which may differ from this lesson's: Confusing "twice a number" with "two more than a number". "Twice" = ×2. "Two more" = +2. Different operations. If you get stuck on "Donut Rate Plotter", 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 · Variables
Mission Progress
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Thinking Summary · 1
Mastered[object Object]
[Discovery] If a candy costs c dollars, the total cost 10c means 10 groups of c. Build it: place 10 x-tiles to represent 10 candies.
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Active StepBuild 10x using x-tiles and 1-tiles.
Everything you need to know about the Socratic experience.
If a candy costs c dollars, the total cost 10c means 10 groups of c. Build it: place 10 x-tiles to represent 10 candies. Hint: Each x-tile stands for one c (one candy). The coefficient counts how many.
What does the variable c represent in this story? If you get stuck, the adaptive hint is: price
Explorer missions hit the core abstraction at typical numeric ranges — this is where conceptual mastery is built. Within 6th Grade Variables, expect numbers in the corresponding range.
Using two letters for the same unknown. Pick ONE variable for ONE unknown. Don't switch letters mid-problem.
Expressions (Variables are the substance of expressions.). Open /grade-6/expressions 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.
