Reasoning · Grade 2-1 Stacking Cubes
Problem
From above height drops out, leaving an L of 4 squares.
From directly overhead you only see where cubes touch the floor, so a tall stack looks the same as a single cube - just one square.
K.G.A.3Visualize Spatial RelationshipsFrom the front each position shows its tallest: 3 tall on the left, 1 on the right.
From the front a tall cube hides the shorter ones behind it, so you only see how high the tallest one reaches in each column.
2.G.A.1Identify SubproblemsFrom the front you see only the tallest stack in each left-to-right position, because the taller cubes hide the shorter ones behind them.
In one left-to-right position the stacks line up one behind another, and the tallest reaches higher than every other, so its height is the one that shows.
Each left-to-right position contributes exactly one column to the drawing, so the view has as many columns as the solid has positions.
From the side the positions show 1, 2, 3 tall.
From the side the steps no longer hide each other, so the climbing heights 1, 2, 3 show up as a clear staircase.
2.G.A.1Identify SubproblemsDrawn out: top an L, front an L, side a 3·2·1 staircase.
Shading the right squares on each grid turns the imagined silhouettes into the finished drawings.
2.G.A.1Draw A DiagramEach view just keeps the tallest cube you can see along one direction - top hides height, front and side hide the cubes lined up behind!