Welcome to "Cargo-Per-Hour Lab", a 6th Grade Unitrate mission at the Challenger (stretch) level, staged in our space exploration scenario. The mission opens with a hands-on prompt: "744 items in 24 groups. Show the groups equally split." You'll work with the numbers 744, 24, 31 and arrive at a final answer of 310 across 3 guided steps.
Behind the space exploration story, this lesson is really about unitrate aligned to CCSS 6.RP.A.2. Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0. The key strategy this mission asks you to internalise: Answer: 31.
A general pattern to watch for in 6th Grade unitrate — illustrated with example numbers below, which may differ from this lesson's: Comparing unit prices in different units. Convert to the same unit first. $/oz vs $/lb gives nonsense unless you convert. If you get stuck on "Cargo-Per-Hour 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 · Unitrate
Mission Progress
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Thinking Summary · 1
Mastered[object Object]
[Discovery] 744 items in 24 groups. Show the groups equally split.
1
Active StepDistribute items equally among groups
Everything you need to know about the Socratic experience.
744 items in 24 groups. Show the groups equally split. Hint: Divide 744 ÷ 24 to find per-group amount.
If the rate is 31 per group, how many in 10 groups? If you get stuck, the adaptive hint is: Answer: 310.
Challenger missions push beyond CCSS expectations with edge cases that surface deeper misconceptions. Within 6th Grade Unitrate, expect numbers in the corresponding range.
Forgetting to divide (giving "60 km in 4 hours" instead of "15 km/hr"). Unit rate ALWAYS divides. The "per" word is the giveaway.
Percentages (Percent is a unit rate per 100.). Open /grade-6/percentages 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.
