Thinking Summary · 1
MasteredVisual Logic: 0 of 1 parts shaded.
[Discovery] Show 2/5 on a fraction bar split into 20 parts (so it becomes 8/20).
1
Active StepWelcome to "Cake Common-Denom Lab", a 5th Grade Unlikedenom mission at the Explorer (core) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "Show 2/5 on a fraction bar split into 20 parts (so it becomes 8/20)." You'll work with the numbers 2, 5, 20 and arrive at a final answer of 20 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 23.
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 "Cake Common-Denom 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 5 · Unlikedenom
Mission Progress
0/3
Thinking Summary · 1
MasteredVisual Logic: 0 of 1 parts shaded.
[Discovery] Show 2/5 on a fraction bar split into 20 parts (so it becomes 8/20).
1
Active StepEverything you need to know about the Socratic experience.
Show 2/5 on a fraction bar split into 20 parts (so it becomes 8/20). Hint: LCD of 5 and 4 is 20.
What was the LCD used for 5 and 4? If you get stuck, the adaptive hint is: LCD = 20.
Explorer missions hit the core abstraction at typical numeric ranges — this is where conceptual mastery is built. 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.
Multiplydividefractions (Multiplication needs different (cross-cancel) habits.). Open /grade-5/multiplydividefractions 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.
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.