## Grade 4 – Operations & Algebraic Thinking

**Generate and analyze patterns.**

*CCSS.Math.Content.4.OA.C.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.

**Teacher Notes**

Patterns are one of the most important ways to develop student’s mathematical thinking process. When they begin seeing patterns, sequences, and order in equations, they will have a stronger understanding on how to answer mathematical problems.

Students need practice with patterns involving numbers or symbols which either repeat or grow. Students need multiple opportunities creating and extending number and shape patterns. Numerical patterns allow students to reinforce facts and develop fluency with operations.

Patterns and rules are related. A pattern is a sequence that repeats the same process over and over. A rule dictates what that process will look like. Students investigate different patterns to find rules, identify features in the patterns, and justify the reason for those features.

**Student Knowledge Goals**

I know a pattern follows a rule.

I know a pattern repeats.

I can make observations and generalizations about patterns.

I can identify the given rule of a pattern.

I can use tools to extend a pattern.

I can create or continue a number or shape pattern after being given a rule.

**Vocabulary**

features

pattern

rule

sequence

**Teacher Lessons**

Multiple Lessons 4.0A.C.5

Unit Lesson – Contains Worksheets

**Student Video Lessons**

Learn Zillion Video Lessons

Sequence by Multiplying

Missing Terms of a Sequence

Finding a Patterns with Tables

Write a Rule for a Pattern

Study Jams – Number Patterns

Study Jams – Geometric Patterns

**Online Problems, Games, and Assessments**

Pictorial Patterns – Online Game

Input/Output Machine – Online Game

Guess My Rule – Printable game

Khan Academy – Questions and Video Lessons

Input/Output Tables

Function Tables

Geometric Growth Patterns

Increasing Growth Patterns

Numeric Patterns: Word Problems

Patterns: Addition & Multiplication

Mixed Patterns Review

Time Patterns

SBAC Task Assessment

**Worksheets**

Printable Task

Patterns

Generate Number or Shape Patterns