Thinking Summary · 1
MasteredVisual Logic: 0 of 1 parts shaded.
[Discovery] Show 5/7 on a fraction bar split into 28 parts (so it becomes 20/28).
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Active StepWelcome to "Mixed-Pie Slice Adder", a 5th Grade Unlikedenom mission at the Challenger (stretch) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "Show 5/7 on a fraction bar split into 28 parts (so it becomes 20/28)." You'll work with the numbers 5, 7, 28 and arrive at a final answer of 28 across 3 guided steps.
Behind the bakery 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 41.
A general pattern to watch for in 5th Grade unlikedenom — illustrated with example numbers below, which may differ from this lesson's: Picking too large an LCD (e.g., using 24 for 1/4 + 1/6). 24 works but the numbers get bigger. Use the *least* common denominator (12) to keep arithmetic clean. If you get stuck on "Mixed-Pie Slice 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 5/7 on a fraction bar split into 28 parts (so it becomes 20/28).
1
Active StepEverything you need to know about the Socratic experience.
Show 5/7 on a fraction bar split into 28 parts (so it becomes 20/28). Hint: LCD of 7 and 4 is 28.
What was the LCD used for 7 and 4? If you get stuck, the adaptive hint is: LCD = 28.
Challenger missions push beyond CCSS expectations with edge cases that surface deeper misconceptions. Within 5th Grade Unlikedenom, expect numbers in the corresponding range.
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.
Multiplydividefractions (Multiplication needs different (cross-cancel) habits.). Open /grade-5/multiplydividefractions to start that topic's missions.
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.
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.