Cluster 3: Generate and analyze patterns. (Additional Cluster)Archived

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

General Information
Number: MAFS.4.OA.3
Title: Generate and analyze patterns. (Additional Cluster)
Type: Cluster
Subject: Mathematics - Archived
Grade: 4
Domain-Subdomain: Operations and Algebraic Thinking

Related Standards

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Access Points

MAFS.4.OA.3.AP.5a
Generate a pattern when given a rule.
MAFS.4.OA.3.AP.5b
Extend a numerical pattern when the rule is provided.

Related Resources

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

Educational Game

Guess My Rule:

Function Machine card game is used to reinforce student understanding of functions using an in/out table.

Type: Educational Game

Formative Assessments

Multiply By Four:

Students are asked to generate a sequence of numbers based on a given rule and then to identify features of the pattern that are not explicit.

Type: Formative Assessment

Dot Patterns:

Students examine triangular numbers through a given dot pattern.

Type: Formative Assessment

Shape Patterns:

Students are asked to analyze a shape pattern, continue the pattern, and identify what a future shape will be if the pattern continues.

Type: Formative Assessment

Baseball Cards:

Students generate a number pattern based on a given rule and explain the pattern found.

Type: Formative Assessment

Lesson Plans

Pattern Fun:

In this lesson, students will use manipulatives to build, extend, and describe increasing patterns from a rule.

Type: Lesson Plan

Rules, Number Patterns, and Tables:

In this introductory lesson students will follow a rule to generate a number pattern in a table and then identify apparent features of the pattern.

Type: Lesson Plan

Fish Ahoy Fish:

Students will work in groups to assist a client in purchasing different fish for a fish pond. From a data table, they will need to decide which type of fish and how many fish to purchase according to the size of the each pond. After, they will need to revisit a revised data table to make different selection of fish and calculate costs for the purchase of the fish.

Type: Lesson Plan

The n-gon Train:

In this lesson, students will determine the perimeter of a train of polygons, for different regular polygons. The accompanying videos (intended audience is teachers) provide segments of an implementation of the lesson.

Type: Lesson Plan

Original Student Tutorial

Wubble Double Trouble:

Join Pete as he explores patterns within patterns with feisty Wubbles and Dipples in this interactive tutorial.

Type: Original Student Tutorial

Perspectives Video: Teaching Idea

Classroom Storytime: Creating Mathematical Models:

Watch as the Wubbles double to show you how a mathematical pattern can be made.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Teaching Idea

Problem-Solving Task

Double Plus One:

The purpose of this task is to help students gain a better understanding of patterns. This task is meant to be used in an instructional setting.

Type: Problem-Solving Task

Teaching Ideas

Recognizing Patterns:

This lesson is designed to introduce and familiarize students with patterns of shapes, sequences, and tessellations. This lesson provides links to discussions and activities related to patterns and sequences as well as suggested ways to integrate them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with the current one.

Type: Teaching Idea

Engineers Speak For The Trees:

Students begin by reading Dr. Seuss' "The Lorax" as an example of how overdevelopment can cause long-lasting environmental destruction. Students discuss how to balance the needs of the environment with the needs of human industry.

Type: 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

Virtual Manipulative

Follow the Pattern. Which shapes go next?:

Students select the shape that goes next in the pattern and place it in the row, then identify the overall pattern.

Type: Virtual Manipulative

Student Resources

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

Original Student Tutorial

Wubble Double Trouble:

Join Pete as he explores patterns within patterns with feisty Wubbles and Dipples in this interactive tutorial.

Type: Original Student Tutorial

Problem-Solving Task

Double Plus One:

The purpose of this task is to help students gain a better understanding of patterns. This task is meant to be used in an instructional setting.

Type: Problem-Solving Task

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

Virtual Manipulative

Follow the Pattern. Which shapes go next?:

Students select the shape that goes next in the pattern and place it in the row, then identify the overall pattern.

Type: Virtual Manipulative

Parent Resources

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

Problem-Solving Task

Double Plus One:

The purpose of this task is to help students gain a better understanding of patterns. This task is meant to be used in an instructional setting.

Type: Problem-Solving Task