# Standard 3: Analyze patterns and relationships between inputs and outputs.

General Information
Number: MA.5.AR.3
Title: Analyze patterns and relationships between inputs and outputs.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Strand: Algebraic Reasoning

## Related Benchmarks

This cluster includes the following benchmarks.

## Related Access Points

This cluster includes the following access points.

## Access Points

MA.5.AR.3.AP.1
Given a numerical pattern, identify a one-step rule that can describe the pattern.
MA.5.AR.3.AP.2
Given the inputs and a one-step addition or subtraction rule for a numerical pattern, use a two-column table to record the outputs.

## Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

## Formative Assessments

Choo Choo Trains Company:

Students are asked to fill in missing values in a table of numerical patterns and describe relationships between corresponding terms.

Type: Formative Assessment

Comic Books:

Students are asked to complete one of two number patterns, write ordered pairs composed of corresponding terms, graph the ordered pairs, and identify a relationship between corresponding terms of the patterns.

Type: Formative Assessment

## Lesson Plans

Cool School:

In this lesson, students will take an imaginary trip to my lake house. They will solve a variety of real life word problems. Once at the lake they will experience many activities where they will need number sense. For the assessment, students will record and analyze data in order to determine who the best angler was at "Cool School."

Type: Lesson Plan

Gummy vs. Gum (Number Pattern):

In this lesson from the Beacon Learning Center, students use gummy bears and sticks of gum to discover a number pattern and write an representation that describes it.

This lesson can be adapted for several grade levels and instead of writing an equation, students can write a "rule" or expression based on the pattern or relationship between number of pieces of gum and gummy bears.  Consider scaffolding this activity to meet your grade-level needs.

Type: Lesson Plan

## Perspectives Video: Teaching Idea

The Mathematics of Juggling: Patterns, Rules, and Siteswap Notation:

Sometimes it is difficult to juggle math concepts. See how patterns can help.

Type: Perspectives Video: Teaching Idea

## Tutorial

Number Pattern Example: Growing Sequence:

In this Khan Academy tutorial video a table is used to track a growing sequence of design.

Type: Tutorial

## Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

## Tutorial

Number Pattern Example: Growing Sequence:

In this Khan Academy tutorial video a table is used to track a growing sequence of design.

Type: Tutorial

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.