The rule for a repeating pattern is "circle, diamond, sphere, circle, square." Use the drop-down menus to complete the phrase. To find the thirty-second shape of the pattern, add 32 by 5 . The remainder is Choose making the thirty-second shape a Choose .

Answer 1

To determine the thirty-second shape in the pattern "circle, diamond, sphere, circle, square", we first need to identify the total number of shapes in the repeating pattern.

The pattern consists of 5 shapes:

1. Circle
2. Diamond
3. Sphere
4. Circle
5. Square

Now, to find the thirty-second shape, we'll calculate \( 32 \mod 5 \) (the remainder when 32 is divided by 5):

1. Divide 32 by 5: \( 32 \div 5 = 6 \) remainder \( 2 \)

2. The remainder is \( 2 \).

This means that the thirty-second position corresponds to the 2nd shape in the pattern.

Looking at the pattern:

• 1st shape: Circle
• 2nd shape: Diamond

Therefore, the thirty-second shape is a diamond.

So, the completed phrase would be:

"To find the thirty-second shape of the pattern, add 32 by 5. The remainder is 2 making the thirty-second shape a diamond."