Grade 4 Math TEKS 4.5B:Input-Output Tables

Learning Target: I can generate a numerical pattern that follows a given rule.

Focuses On:

• Understanding the terms position, expression, and value in a table
• Representing the relationship between the position or a number and the value in a pattern table
• Completing pattern tables by finding the missing values in all columns

Builds On:

3.5E:

Represent real‐world relationships using number pairs in a table and verbal descriptions.

2.6A:

Model, create, and describe contextual multiplication situations in which equivalent sets of concrete objects are joined.

2.6B:

Model, create, and describe contextual division situations in which a set of concrete objects is separated into equivalent sets.

Next Level:

5.4C:

Generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph.

Read More:

This lesson is designed to support student understanding of the components of input-output tables, what each of these components represent, and how they are related.

The two instructional blocks in this lesson are representing patterns and input-output tables.

In the first instructional block, students identify patterns represented by input-output tables and tables that follow given rules.

The second instructional block has students complete the missing parts of the tables with the correct values, and as they find the output when given the rule and the input.

Visual representations of input-output tables are built into the lesson to support student understanding.

Learning Target: I can identify a rule in an input and output table.

Focuses On:

• Identifying if a table represents an addition, subtraction, multiplication, or division pattern
• Determining the rule in a given input-output table
• Identifying the expression used to determine the value in an input-output table

Builds On:

3.5E:

Represent real‐world relationships using number pairs in a table and verbal descriptions.

2.6A:

Model, create, and describe contextual multiplication situations in which equivalent sets of concrete objects are joined.

2.6B:

Model, create, and describe contextual division situations in which a set of concrete objects is separated into equivalent sets.

Next Level:

5.4C:

Generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph.

Read More:

This lesson is designed to support student understanding of the components of input-output tables and how to determine the rule of the table.

The two instructional blocks in this lesson are identify the rule and expression rules.

In the first instructional block, students develop a rule and create an input-output table based on that rule. Students will also identify the rules that match specific tables.

The second instructional block has students name the rule of the table and the expressions that can be used to determine the rule.

Scaffolds such as pictorial representations of input-output tables are built into the lesson so students have models to draw from when solving problems.