Welcome to "Cockpit Window Builder", 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 triangles 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: Counting the corners of a circle as "infinite" or "zero". A circle has no straight sides and no vertices. Smooth curves are a category of their own. If you get stuck on "Cockpit Window Builder", 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
0/3
Thinking Summary · 1
Mastered[object Object]
[Discovery] Place 6 triangles on the canvas. Use the palette to pick the right shape, then tap "+" to add each one.
1
Active StepPlace 6 triangles on the canvas.
Everything you need to know about the Socratic experience.
Place 6 triangles on the canvas. Use the palette to pick the right shape, then tap "+" to add each one. Hint: Tap the "triangle" tile in the palette. Then press "+" exactly 6 times.
If you wanted to make a longer pattern using these 6 triangles plus 2 more, how many triangles 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.
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.
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.
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.
