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



This document was generated on CPALMS - www.cpalms.org

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
Code Description
MAFS.4.OA.3.5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.


Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
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.

Original Student Tutorial

Name Description
Wubble Double Trouble:

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

Educational Game

Name Description
Guess My Rule: Function Machine card game is used to reinforce student understanding of functions using an in/out table.

Formative Assessments

Name Description
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.

Dot Patterns:

Students examine triangular numbers through a given dot pattern.

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.

Baseball Cards:

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

Lesson Plans

Name Description
Pattern Fun:

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

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.

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.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

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.

Perspectives Video: Teaching Idea

Name Description
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.

Problem-Solving Task

Name Description
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.

Teaching Ideas

Name Description
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.
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.

Tutorial

Name Description
Number Pattern Example: Growing Sequence:

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

Virtual Manipulative

Name Description
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.



Student Resources

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

Original Student Tutorial

Title Description
Wubble Double Trouble:

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

Problem-Solving Task

Title Description
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.

Tutorial

Title Description
Number Pattern Example: Growing Sequence:

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

Virtual Manipulative

Title Description
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.



Parent Resources

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

Problem-Solving Task

Title Description
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.