Welcome to "Cost-Per Decimal Lab", a 6th Grade Decimaldivision mission at the Seedling (entry-level) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "Shift both decimals one place right: 8 ÷ 0.4 = 80 ÷ 4. Long-divide 80 ÷ 4 on the template." You'll work with the numbers 8, 0, 4 and arrive at a final answer of 8 across 3 guided steps.
Behind the bakery story, this lesson is really about decimaldivision aligned to CCSS 6.NS.B.3. Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm. The key strategy this mission asks you to internalise: Answer: 20.
A general pattern to watch for in 6th Grade decimaldivision — illustrated with example numbers below, which may differ from this lesson's: Believing dividing by a decimal less than 1 makes the result smaller. Dividing by less than 1 makes the result LARGER. 6 ÷ 0.5 = 12, not 3. If you get stuck on "Cost-Per Decimal 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 · Decimaldivision
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Thinking Summary · 1
Mastered[object Object]
[Discovery] Shift both decimals one place right: 8 ÷ 0.4 = 80 ÷ 4. Long-divide 80 ÷ 4 on the template.
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Active StepCompute 80 ÷ 4 by filling each quotient digit.
Everything you need to know about the Socratic experience.
Shift both decimals one place right: 8 ÷ 0.4 = 80 ÷ 4. Long-divide 80 ÷ 4 on the template. Hint: Multiplying both numerator and denominator by 10 keeps the quotient unchanged.
Verify: 0.4 × 20 = ? If you get stuck, the adaptive hint is: Answer: 8.
Seedling missions anchor the visual model with small, friendly numbers — ideal as the first attempt at this topic. Within 6th Grade Decimaldivision, expect numbers in the corresponding range.
Shifting only the divisor, not the dividend. BOTH decimals shift the same number of places. Otherwise the quotient changes.
Decimalops (Decimal division builds on decimal × from Grade 5.). Open /grade-6/decimalops to start that topic's missions.
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.
Pure discovery is inefficient — kids hit a wall and quit. Guided Discovery scaffolds the path: a careful sequence of questions, models, and adaptive hints leads the learner toward the insight without revealing it. Inquiry AI's hint system fires automatically after ~15s of hesitation or on the first mistake, escalating from a Socratic nudge to a worked example only when needed. Mistakes are diagnosed via "misconception keys" so the hint matches the actual wrong-thinking pattern.
