Learn on PengienVision, Mathematics, Grade 4Chapter 14: Algebra: Generate and Analyze Patterns

Lesson 2: Patterns: Number Rules

In this Grade 4 lesson from enVision Mathematics Chapter 14, students learn how to use multiplication and division rules to extend number patterns and complete tables. They practice identifying features of patterns, such as recognizing that one quantity is a multiple or factor of another, using real-world contexts like juice boxes, cloverleaves, and bicycle wheels. Students also apply these number rules to solve problems, including finding values for larger numbers in a pattern.

Section 1

Using Input-Output Tables

Property

An input-output table organizes pairs of numbers that are related by a rule. The 'input' is the number you start with, and the 'output' is the result after applying the rule. We often use variables like xx for the input and yy for the output.

Input (x)Output (y)value 1value 1value 2value 2\begin{array}{|c|c|} \hline \textbf{Input (x)} & \textbf{Output (y)} \\ \hline \text{value 1} & \text{value 1} \\ \hline \text{value 2} & \text{value 2} \\ \hline \end{array}

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Using Input-Output Tables

Property

An input-output table organizes pairs of numbers that are related by a rule. The 'input' is the number you start with, and the 'output' is the result after applying the rule. We often use variables like xx for the input and yy for the output.

Input (x)Output (y)value 1value 1value 2value 2\begin{array}{|c|c|} \hline \textbf{Input (x)} & \textbf{Output (y)} \\ \hline \text{value 1} & \text{value 1} \\ \hline \text{value 2} & \text{value 2} \\ \hline \end{array}