Unit 3: Numerical Expressions & Patterns

Overview

Ever wondered how to teach writing numerical expressions, evaluating expressions, and exploring number patterns in an engaging way to your 5th-grade students?

In this unit plan, students will first learn about writing numerical expressions using keywords for different operations and whole number exponents. Later on, they will build on this by practicing evaluating numerical expressions without exponents using the order of operations and symbols like parentheses, brackets, or braces.

Lastly, students will learn about identifying number patterns in sequences, tables, and graphing relationships on coordinate planes. Each lesson integrates artistic, interactive guided notes, checks for understanding, and culminates with a real-life example that explores how numerical expressions and patterns are used in a practical context.

Get the Unit Materials

Number Patterns and Expressions Guided Notes w Doodles | 5th Grade Unit Bundle

Number Patterns and Expressions Guided Notes w Doodles | 5th Grade Unit Bundle

$8.99 · Extensions sold separately

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Learning Objectives

After this unit, students will be able to:

  • Write numerical expressions using keywords for addition, subtraction, multiplication, and division operations.

  • Include parentheses, brackets, or braces in numerical expressions to indicate the order of operations when evaluating expressions.

  • Evaluate numerical expressions without exponents using the order of operations.

  • Identify number patterns in sequences and tables.

  • Graph relationships between two variables on coordinate planes.

  • Use whole-number exponents in numerical expressions to represent repeated multiplication.

Prerequisites

Before beginning this unit, students should be familiar with:

  • Basic addition and subtraction skills

  • Understanding of the concepts of multiplication and division

  • Knowledge of basic properties of operations (commutative, associative, and distributive properties)

  • Familiarity with the concepts of variables and unknown quantities

  • Ability to plot points on a coordinate plane (for the lesson on Number Patterns & Graphing Relationships)

Materials

Key Vocabulary

  • Numerical Expressions

  • Keywords

  • Operations

  • Exponents

  • Evaluating

  • Order of Operations

  • Parentheses

  • Number Patterns

Lesson Map

Extensions

Numerical Expressions & Patterns Pixel Art BUNDLE | 5th Grade CCSS

Numerical Expressions & Patterns Pixel Art BUNDLE | 5th Grade CCSS

$8.99

Students practice numerical expressions and number patterns, including writing numerical expressions, evaluating numerical expressions, and generating number patterns with this 5th Grade CCSS Numerical Expressions & Number Patterns Pixel Art Unit Bundle. Contains 3 products with 7 pixel art activities total for a complete 5th grade Common Core numerical expressions & patterns unit.

These self-checking Google Sheets give students instant feedback. Incorrect answers are highlighted in red, and correct answers turn green and unlock parts of a mystery picture. They’re easy to assign, keep students engaged, and free up your time for differentiation.

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Unit 2

Whole Number & Decimal Operations

Unit 4

Fraction & Mixed Number Operations

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