Math worksheet for kids to practice creating repeating patterns using various geometric shapes.

To solve these problems, we need to follow the pattern instructions given for each row. A repeating pattern means we write the shapes in a specific order and then repeat that same order over and over again.

Here is the step-by-step logic for each part:

a. ABC Repeating Pattern
* Instruction: Use the shapes Square ($\square$), Star ($\star$), Triangle ($\triangle$) in an ABC order.
* Logic: This means we list them once in order, then repeat that group.
* Pattern: $\square, \star, \triangle, \square, \star, \triangle, \dots$

b. ABBA Repeating Pattern
* Instruction: Use Circle ($\bigcirc$) and Arrow ($>$) in an ABBA order.
* Logic: A is the first shape, B is the second. The pattern is First, Second, Second, First. Then repeat.
* Pattern: $\bigcirc, >, >, \bigcirc, \bigcirc, >, >, \bigcirc, \dots$

c. ABAC Repeating Pattern
* Instruction: Use Star ($\star$), Triangle ($\triangle$), Circle ($\bigcirc$) in an ABAC order.
* Logic: A=Star, B=Triangle, C=Circle. The sequence is Star, Triangle, Star, Circle. Then repeat.
* Pattern: $\star, \triangle, \star, \bigcirc, \star, \triangle, \star, \bigcirc, \dots$

d. AABC Repeating Pattern
* Instruction: Use Arrow ($>$), Circle ($\bigcirc$), Star ($\star$) in an AABC order.
* Logic: A=Arrow, B=Circle, C=Star. The sequence is Arrow, Arrow, Circle, Star. Then repeat.
* Pattern: $>, >, \bigcirc, \star, >, >, \bigcirc, \star, \dots$

e. ACCB Repeating Pattern
* Instruction: Use Moon ($\☾$), Star ($\star$), Circle ($\bigcirc$) in an ACCB order.
* Logic: A=Moon, B=Star, C=Circle. Wait, looking at the shapes provided: Moon, Star, Circle. Usually, the order they are listed corresponds to A, B, C. Let's assume A=Moon, B=Star, C=Circle.
* Pattern: A (Moon), C (Circle), C (Circle), B (Star).
* Sequence: $\☾, \bigcirc, \bigcirc, \star$. Then repeat.
* Pattern: $\☾, \bigcirc, \bigcirc, \star, \☾, \bigcirc, \bigcirc, \star, \dots$

f. ABCA Repeating Pattern
* Instruction: Use Triangle ($\triangle$), Moon ($\☾$), Arrow ($>$) in an ABCA order.
* Logic: A=Triangle, B=Moon, C=Arrow. The sequence is Triangle, Moon, Arrow, Triangle. Then repeat.
* Pattern: $\triangle, \☾, >, \triangle, \triangle, \☾, >, \triangle, \dots$

g. ABBCC Repeating Pattern
* Instruction: Use Circle ($\bigcirc$), Arrow ($>$), Triangle ($\triangle$) in an ABBCC order.
* Logic: A=Circle, B=Arrow, C=Triangle. The sequence is Circle, Arrow, Arrow, Triangle, Triangle. Then repeat.
* Pattern: $\bigcirc, >, >, \triangle, \triangle, \bigcirc, >, >, \triangle, \triangle, \dots$

h. ABCCA Repeating Pattern
* Instruction: Use Star ($\star$), Arrow ($>$), Moon ($\☾$) in an ABCCA order.
* Logic: A=Star, B=Arrow, C=Moon. The sequence is Star, Arrow, Moon, Moon, Star. Then repeat.
* Pattern: $\star, >, \☾, \☾, \star, \star, >, \☾, \☾, \star, \dots$

Final Answer:
a. $\square, \star, \triangle, \square, \star, \triangle$
b. $\bigcirc, >, >, \bigcirc, \bigcirc, >, >, \bigcirc$
c. $\star, \triangle, \star, \bigcirc, \star, \triangle, \star, \bigcirc$
d. $>, >, \bigcirc, \star, >, >, \bigcirc, \star$
e. $\☾, \bigcirc, \bigcirc, \star, \☾, \bigcirc, \bigcirc, \star$
f. $\triangle, \☾, >, \triangle, \triangle, \☾, >, \triangle$
g. $\bigcirc, >, >, \triangle, \triangle, \bigcirc, >, >, \triangle, \triangle$
h. $\star, >, \☾, \☾, \star, \star, >, \☾, \☾, \star$