Welcome to "Sugar Tenths Lab", a 4th Grade Decimals mission at the Explorer (core) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "Shade 7 cells on the 10×10 hundredths grid to model 7/100 = 0.07." You'll work with the numbers 7, 10, 100 and arrive at a final answer of 100 across 3 guided steps.
Behind the bakery story, this lesson is really about decimals aligned to CCSS 4.NF.C.6. Use decimal notation for fractions with denominators 10 or 100. The key strategy this mission asks you to internalise: Decimal = 0.07.
A general pattern to watch for in 4th Grade decimals — illustrated with example numbers below, which may differ from this lesson's: Treating 0.5 and 0.05 as the same value (ignoring the place). 0.5 = 5/10. 0.05 = 5/100. The position of the 5 changes its value tenfold. If you get stuck on "Sugar Tenths 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 4 · Decimals
Mission Progress
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Thinking Summary · 1
Mastered[object Object]
[Discovery] Shade 7 cells on the 10×10 hundredths grid to model 7/100 = 0.07.
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Active StepShade 7 of 100 cells.
4th Grade Decimals explorer-1 representative practice page for students who need a crawlable, worked entry point into the topic without exposing every near-duplicate long-tail mission.
This explorer · core practice mission uses a percent grid to move from the story to a precise decimals idea. Work through the prompts in order: notice the structure first, name the quantities, then check whether the final answer fits the original situation.
In 4th Grade Decimals, students need to connect the story, the model, and the symbolic answer. The core move here is: Decimal = 0.07. A useful check is to ask whether the answer avoids this pitfall: Writing 3/10 as 0.3 but 3/100 as 0.3 (ignoring the place jump). 3/100 needs two decimal places: 0.03. The decimal places match the zeros in the denominator.
Everything you need to know about the Socratic experience.
Shade 7 cells on the 10×10 hundredths grid to model 7/100 = 0.07. Hint: Each cell is 1/100. You need 7 shaded.
Which is bigger: 7/100 or 1/2? If you get stuck, the adaptive hint is: Convert both to the same denominator and compare numerators.
Explorer missions hit the core abstraction at typical numeric ranges — this is where conceptual mastery is built. Within 4th Grade Decimals, expect numbers in the corresponding range.
Writing 3/10 as 0.3 but 3/100 as 0.3 (ignoring the place jump). 3/100 needs two decimal places: 0.03. The decimal places match the zeros in the denominator.
Decimaladvanced (Grade 5 extends to thousandths and decimal comparison.). Open /grade-4/decimaladvanced 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.
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.
