Problem
Reasoning · Grade 2-2 Various Patterns and Rules
Part (1): count the shaded wedges in order
Each circle gains one more shaded wedge and loses one white.
Counting the shaded wedges 1,2,3,4,_,6 makes the missing count obviously 5 — a Grade 4 shape-pattern rule.
4.OA.C.5Look For A PatternThe shaded wedges run 1, 2, 3, 4, then 6, so the missing figure must have 5.
Why?
Every figure adds exactly one more shaded wedge than the one before, so the counts climb by a fixed step of one.
Why?
Each figure in the row carries one definite count, so the blank has one count and it is the one the pattern demands.
Part (1): place the 5 shaded wedges
So circle 5 takes 5 wedges in a block and leaves 3 white.
Picturing the white gap getting one wedge smaller each time tells you how to color the 8-part circle.
2.G.A.3Draw A DiagramPart (2): read how the green group shifts
Across the grids the green group slides a fixed step each time.
Following the colored cells one grid at a time is exactly continuing a given shape pattern.
4.OA.C.5Look For A PatternPart (2): draw grid 6
Grid 6 takes one more shift plus a triangle in the centre.
Visualizing the next shift of the same little block fills the blank grid consistently with the rule.
2.G.A.1Visualize Spatial RelationshipsJust count and watch the colored part move one step each time — then keep the same move going to fill the blank shape. Grade 4 pattern eyes!
- Part (1): count the shaded wedges in order
- Part (1): place the 5 shaded wedges
- Part (2): read how the green group shifts
- Part (2): draw grid 6