Welcome to "Asteroid Tile Sorter", a 1st Grade Shapes mission at the Explorer (core) level, staged in our space exploration scenario. The mission opens with a hands-on prompt: "Place 6 circles on the canvas. Use the palette to pick the right shape, then tap "+" to add each one." You'll work with the numbers 6, 2 and arrive at a final answer of 8 across 3 guided steps.
Behind the space exploration story, this lesson is really about shapes aligned to CCSS 1.G.A.2. Recognizing 2D shapes by defining attributes, and composing larger shapes from smaller ones. The key strategy this mission asks you to internalise: Triangle = 3, Square/Rectangle = 4, Hexagon = 6, Circle = curved.
A general pattern to watch for in 1st Grade shapes — illustrated with example numbers below, which may differ from this lesson's: Thinking color or size matters (a small red triangle is "different" from a big blue one). Sort a pile of shapes by *number of sides* only. The kids quickly see how color drops out. If you get stuck on "Asteroid Tile Sorter", 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 1 · Shapes
Mission Progress
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Thinking Summary · 1
Mastered[object Object]
[Discovery] Place 6 circles on the canvas. Use the palette to pick the right shape, then tap "+" to add each one.
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Active StepPlace 6 circles on the canvas.
Everything you need to know about the Socratic experience.
Place 6 circles on the canvas. Use the palette to pick the right shape, then tap "+" to add each one. Hint: Tap the "circle" tile in the palette. Then press "+" exactly 6 times.
If you wanted to make a longer pattern using these 6 circles plus 2 more, how many circles would there be in total? If you get stuck, the adaptive hint is: Adding more of the same shape grows the pattern.
Explorer missions hit the core abstraction at typical numeric ranges — this is where conceptual mastery is built. Within 1st Grade Shapes, expect numbers in the corresponding range.
Calling a tilted square a "diamond" — treating orientation as a defining attribute. A square stays a square no matter how you turn it. Pick it up and rotate it physically — the sides did not change.
Place Value (Pattern-block composition (10 triangles = 1 hexagon row) mirrors the "10 ones = 1 ten" trade.). Open /grade-1/place-value 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.
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.
