Thinking Summary · 1
MasteredVisual Logic: 0 of 1 parts shaded.
[Discovery] Shade 1/4 on a fraction bar so we can compare it to 1/3.
1
Active StepWelcome to "Solar Half Compare", a 4th Grade Comparefractions mission at the Seedling (entry-level) level, staged in our space exploration scenario. The mission opens with a hands-on prompt: "Shade 1/4 on a fraction bar so we can compare it to 1/3." You'll work with the numbers 1, 4, 3 and arrive at a final answer of 4 across 3 guided steps.
Behind the space exploration 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 3/12 vs 4/12.
A general pattern to watch for in 4th Grade comparefractions — illustrated with example numbers below, which may differ from this lesson's: Comparing numerators only (4/9 > 3/8 because 4 > 3) ignoring the denominators. Bigger numerator means MORE pieces only when the pieces are the same size. Denominators must match first. If you get stuck on "Solar Half Compare", 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
0/3
Thinking Summary · 1
MasteredVisual Logic: 0 of 1 parts shaded.
[Discovery] Shade 1/4 on a fraction bar so we can compare it to 1/3.
1
Active StepEverything you need to know about the Socratic experience.
Shade 1/4 on a fraction bar so we can compare it to 1/3. Hint: Cut the bar into 4 equal parts and shade 1.
Compared to 1/2, is 1/4 bigger, smaller, or equal? If you get stuck, the adaptive hint is: Benchmarks make comparison fast.
Seedling missions anchor the visual model with small, friendly numbers — ideal as the first attempt at this topic. Within 4th Grade Comparefractions, expect numbers in the corresponding range.
Comparing denominators only (assuming bigger denom ⇒ bigger fraction). Bigger denominator = SMALLER pieces. 1/8 < 1/4, even though 8 > 4.
Multiplyfractions (Multiplying a fraction by a whole is the next step.). Open /grade-4/multiplyfractions to start that topic's missions.
Inquiry-based learning starts with a question, not a formula — students explore, hypothesize, and verify before being told the rule. In Inquiry AI, every mission opens with a "Discovery" step (manipulate the model), then "Abstraction" (write the equation), then "Reflect" (apply to a new case). The procedure is never given upfront; learners derive it from their own observations.
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.