Thinking Summary · 1
MasteredVisual Logic: 0 of 1 parts shaded.
[Discovery] Show 7/9 on a fraction bar split into 36 parts (so it becomes 28/36).
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Active StepWelcome to "Mixed Orbit Adder", a 5th Grade Unlikedenom mission at the Challenger (stretch) level, staged in our space exploration scenario. The mission opens with a hands-on prompt: "Show 7/9 on a fraction bar split into 36 parts (so it becomes 28/36)." You'll work with the numbers 7, 9, 36 and arrive at a final answer of 36 across 3 guided steps.
Behind the space exploration story, this lesson is really about unlikedenom aligned to CCSS 5.NF.A.1. Add and subtract fractions with unlike denominators by replacing them with equivalent fractions sharing a common denominator. The key strategy this mission asks you to internalise: Numerator is 43.
A general pattern to watch for in 5th Grade unlikedenom — illustrated with example numbers below, which may differ from this lesson's: Adding numerators AND denominators directly (1/2 + 1/3 = 2/5). Denominators don't add — they name the slice size. Convert to a common denominator first. If you get stuck on "Mixed Orbit Adder", 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 5 · Unlikedenom
Mission Progress
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Thinking Summary · 1
MasteredVisual Logic: 0 of 1 parts shaded.
[Discovery] Show 7/9 on a fraction bar split into 36 parts (so it becomes 28/36).
1
Active StepEverything you need to know about the Socratic experience.
Show 7/9 on a fraction bar split into 36 parts (so it becomes 28/36). Hint: LCD of 9 and 12 is 36.
What was the LCD used for 9 and 12? If you get stuck, the adaptive hint is: LCD = 36.
Challenger missions push beyond CCSS expectations with edge cases that surface deeper misconceptions. Within 5th Grade Unlikedenom, expect numbers in the corresponding range.
Using a non-common denominator (e.g., adding 1/4 + 1/6 with denom 10). Both fractions must convert to the SAME denominator. 10 isn't a multiple of either 4 or 6 — pick 12.
Comparefractions (Common-denominator skills carry over from Grade 4 comparison.). Open /grade-5/comparefractions to start that topic's missions.
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.
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.