8th Grade Math Unit 1 Bundle: Number System | Rational & Irrational, Square Roots

This 8th Grade Math Unit 1 Bundle provides a complete set of worksheets to teach The Number System, covering rational and irrational numbers, square roots, cube roots, and real numbers. Designed for 2–3 weeks of instruction, this resource supports students in building a deep understanding of number relationships and approximations.

These worksheets are ideal for classwork, homework, math centers, intervention, or test prep, and follow a consistent structure that makes lesson planning simple and effective.

What’s Included

• 6 full-length worksheets (one per lesson)
• Answer keys for every worksheet
• 100% editable files so you can modify content to meet your students’ needs
• Warm-ups, guided practice, application problems, and challenge questions in every lesson
  

Common Core Alignment

This resource is aligned to:

• 8.NS.A.1 – Understand and classify rational and irrational numbers
• 8.NS.A.2 – Approximate irrational numbers and locate them on a number line
• 8.EE.A.2 – Use radicals and integer exponents (cube roots connection)
  

Unit Overview: The Number System

In this unit, students extend their understanding of numbers beyond rational values to include irrational numbers. They explore decimal expansions, classify numbers within the real number system, and estimate square and cube roots.

Students will:

• Convert between fractions and decimals
• Identify and classify rational and irrational numbers
• Approximate irrational numbers using rational estimates
• Compare and order real numbers
• Apply square and cube roots to real-world and geometric contexts

Detailed Worksheet Breakdown

Worksheet 1: Rational Numbers Review
Students review foundational skills including:

• Converting fractions and decimals
• Identifying terminating and repeating decimals
• Ordering and placing numbers on a number line
  

Worksheet 2: Rational vs. Irrational Numbers
Students learn to:

• Identify irrational numbers such as √2 and π
• Classify decimals as terminating, repeating, or non-repeating
• Compare rational and irrational numbers
  

Worksheet 3: Approximating Irrational Numbers
Students practice:

• Estimating square roots
• Truncating and rounding decimal values
• Comparing and ordering irrational numbers
  

Worksheet 4: Real Numbers & the Number Line
Students:

• Classify numbers within the real number system
• Use number lines to compare and order values
• Apply concepts to real-world problems
  

Worksheet 5: Estimating Square Roots & Distance
Students work on:

• Identifying perfect and non-perfect squares
• Estimating square roots to the nearest tenth
• Applying square roots to geometry and distance problems
  

Worksheet 6: Cube Roots & Volume Applications
Students:

• Evaluate cube roots and perfect cubes
• Approximate non-perfect cube roots
• Solve volume problems involving cubes
• Complete higher-level challenge problems
  

Why This Resource Works

• Fully editable to fit your classroom needs
• Clear and consistent structure across all lessons
• Strong mix of procedural practice and application
• Answer keys included for easy grading
• Covers an entire unit in one organized bundle
  

Best For

• 8th Grade Math
• Algebra readiness
• Homework and independent practice
• Math centers or stations
• Intervention and review
  

What Teachers Are Looking For

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