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The General Rule for Input/Output Tables

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The General Rule for Input/Output Tables

Algebra Foundations

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You will describe the general rule of a number sequence and write this rule in algebraic notation.

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Now You Know

After completing this tutorial, you will be able to complete the following:

  • Describe the general rule for input/output tables.
  • Write the general rule for input/output tables in algebraic notation.

Everything You'll Have Covered

There is a relationship between the inputs and outputs.

In this Activity Object, students must find the relationship between inputs and outputs to find a pattern (or general rule) that can be described by an algebraic equation.

In the example below, the pattern suggests that the input value should be multiplied by 2 to get the output value.

General rule: Output = Input 2

Using the above chart, the general rule can be written with variables. For example, let m represent the output and n the input. Then the algebraic equation becomes:

m = n 2

After writing the general rule, one should always check if the equation is correct by inserting the values of inputs into the equation.

Tutorial Details

Approximate Time 20 Minutes
Pre-requisite Concepts Learners should be familiar with number sequences, operations, and writing.
Course Algebra Foundations
Type of Tutorial Skills Application
Key Vocabulary number sequence, algebraic notation, input numbers