Exploring Input Output Tables in Mathematics

The video tutorial explains how to recognize patterns in input and output tables by using math operations such as addition, subtraction, multiplication, and division. It provides examples to determine rules for different tables and sequences, emphasizing the importance of checking each rule for consistency across all data points. The tutorial also guides on creating position and value tables from sequences, using real-world examples to illustrate the concepts.

What are input and output tables primarily used for?

• Calculating probabilities

• Recognizing patterns

• Solving equations

• Drawing graphs

If the output is smaller than the input, which operations might be involved?

• Only multiplying

• Only adding

• Subtracting or dividing

• Adding or multiplying

In Example 1, what is the rule for the table where the input decreases to the output?

• Multiplying by 3

• Dividing by 2

• Minus 3

• Minus 2

In Example 2, what is the rule for the table where the input increases to the output?

• Adding 4

• Adding 12

• Multiplying by 12

• Multiplying by 4

What should you do first when trying to identify the rule for an input-output table?

• Check for addition or subtraction

• Draw a graph

• Check for multiplication or division

• Calculate the average

In Example 3, what is the rule for the table where the input increases to the output?

• Multiplying by 2

• Adding 13

• Adding 10

• Multiplying by 3

In Example 3, what is the rule for the table where the input decreases to the output?

• Subtracting 2

• Dividing by 2

• Subtracting 3

• Dividing by 3

When creating a position and value table, what does the position column represent?

• The value of the number

• The place of the number in the sequence

• The rule applied

• The total sum

In Example 4, what is the rule for the sequence where the input increases to the output?

• Multiplying by 7

• Adding 6

• Adding 7

• Multiplying by 6

What is the first step in creating a position and value table for a sequence?

• Calculate the sum

• Rank the numbers by their position

• Identify the rule

• Draw a graph