Thinking Summary · 1
MasteredVisual Logic: 0 of 1 parts shaded.
[Discovery] Shade 11/12 on a fraction bar so we can compare it to 9/10.
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Active StepWelcome to "Cake Slice Bigger", a 4th Grade Comparefractions mission at the Challenger (stretch) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "Shade 11/12 on a fraction bar so we can compare it to 9/10." You'll work with the numbers 11, 12, 9 and arrive at a final answer of 12 across 3 guided steps.
Behind the bakery story, this lesson is really about comparefractions aligned to CCSS 4.NF.A.2. Compare two fractions with different numerators and different denominators by creating common denominators or by comparing to a benchmark fraction. The key strategy this mission asks you to internalise: Compare 55/60 vs 54/60.
A general pattern to watch for in 4th Grade comparefractions — illustrated with example numbers below, which may differ from this lesson's: Comparing denominators only (assuming bigger denom ⇒ bigger fraction). Bigger denominator = SMALLER pieces. 1/8 < 1/4, even though 8 > 4. If you get stuck on "Cake Slice Bigger", 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 4 · Comparefractions
Mission Progress
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Thinking Summary · 1
MasteredVisual Logic: 0 of 1 parts shaded.
[Discovery] Shade 11/12 on a fraction bar so we can compare it to 9/10.
1
Active StepEverything you need to know about the Socratic experience.
Shade 11/12 on a fraction bar so we can compare it to 9/10. Hint: Cut the bar into 12 equal parts and shade 11.
Compared to 1/2, is 11/12 bigger, smaller, or equal? If you get stuck, the adaptive hint is: Benchmarks make comparison fast.
Challenger missions push beyond CCSS expectations with edge cases that surface deeper misconceptions. Within 4th Grade Comparefractions, expect numbers in the corresponding range.
Cross-multiplying without remembering which side is which. Cross-multiply pairs with their *opposite* denominator. Or just stick with the common-denominator picture.
Addfractions (Adding like fractions uses the same common-denominator move.). Open /grade-4/addfractions to start that topic's missions.
C-P-A is the Singapore Math sequence proven to deepen number sense: first manipulate physical objects (Concrete), then draw pictures of them (Pictorial), and only then write equations (Abstract). Inquiry AI structures every mission as exactly these three steps — a manipulative, a picture/grid model, and finally the equation. Skipping straight to symbols is the #1 cause of math anxiety; the platform refuses to do it.
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.