Using Expressions to Describe Patterns (Example)

The video tutorial explores how to identify patterns in an input-output table. Initially, simple addition and subtraction are tested, but they do not fit the pattern. The tutorial then examines multiplication and division, finding that multiplying the input by 2 gets close to the output. By adding 1 to the doubled input, the correct pattern is identified as 2x + 1. The video demonstrates the process of using two operations to find the pattern, emphasizing guessing and checking.

What was the initial hypothesis about the pattern in the input-output table?

• The pattern is dividing by 2.

• The pattern is multiplying by 3.

• The pattern is adding 6.

• The pattern is subtracting 6.

Why was the hypothesis of adding 6 to the input disproven?

• Because 11 plus 6 equals 17.

• Because 6 plus 6 equals 12, not 13.

• Because 5 plus 6 equals 12.

• Because 6 plus 6 equals 13.

What was the next hypothesis about the pattern after addition was ruled out?

• The pattern is dividing by 2.

• The pattern is adding 10.

• The pattern is multiplying by 2.

• The pattern is subtracting 5.

What two operations were identified as the correct pattern for the input-output table?

• Multiplication and subtraction

• Addition and division

• Multiplication and addition

• Subtraction and division

How is the pattern represented mathematically?

• 2x + 1

• x + 2

• 2x - 1

• x / 2 + 1