Problem
Find the shape cycle
Shapes repeat square→triangle→circle every 3 spots. Spot 7 is a square, so spot 8 is a triangle.
The row is built by repeating one fixed block — square, triangle, circle — so each spot's shape depends on which slot of the block it lands on. Counting three at a time, spots 1-6 fill two whole blocks, so spot 7 starts the next block (square) and spot 8 is its second slot, matching the earlier block's triangle.
4.OA.C.5Look For A PatternFinding PatternsThe shape that belongs in the 8th spot is a triangle.
Why?
The row is built by repeating one fixed block of shapes — square, triangle, circle — so each spot's shape is decided by which slot of the block it lands on.
Why?
Counting the spots three at a time, spots 1 to 6 fill two whole blocks, so spot 7 is the 1st slot of the next block and spot 8 is its 2nd slot.
Why?
Each block is an exact copy of the first, so the 2nd slot holds the same shape it held before — a triangle.
Find the color cycle
Colors alternate red→yellow every 2 spots — odd spots are red, even spots are yellow.
Colors repeat in a two-spot block (red, yellow). Every even-numbered spot lands on the block's second slot, which is yellow — and 8 is even, so it's yellow.
4.OA.C.5Make A Systematic ListFinding PatternsCombine shape and color
Spot 8 is a triangle by shape and yellow by color — a yellow triangle.
The shape cycle and the color cycle repeat independently of each other, so each spot's shape and color are each fixed separately and then combined. That makes spot 8 a triangle and yellow at once — a yellow triangle.
4.OA.C.5Look For A PatternFinding PatternsFind the shape cycle and the color cycle separately, then combine them to pin down exactly what belongs in the blank.
- Check the shape cycle (every 3) → triangle
- Check the color cycle (every 2) → yellow
- Combined, spot 8 is a yellow triangle