Place Value: Booklet 3

Place Value: Booklet 3 – Into the Millions, Exponential Notation, and Operations Review from Pattern Press is a hands-on math curriculum resource designed to help students develop a deep understanding of large numbers, exponents, decimals, and operational thinking through visual models, pattern exploration, and conceptual learning.

This booklet set includes a 49-page Parent/Teacher Guide and a 45-page Student Workbook that guide students into more advanced place value concepts while reinforcing strong mathematical foundations. Students explore how the base ten system extends into the millions, how exponents relate to powers of ten, and how place value connects across addition, subtraction, multiplication, and division.

Rather than relying on formula memorization, the Patterns in Arithmetic approach encourages students to recognize patterns, build relationships between numbers, and understand mathematical structure through active exploration. Lessons use discussion, visual thinking, and hands-on learning to help students see how operations connect within the larger number system.

The Parent/Teacher Guide includes teaching instructions, sample dialogues, games, lesson support, and the Answer Key. The Student Workbook provides worksheets and practice pages that reinforce understanding through guided mathematical exploration.

Topics included in this booklet:

• Vocabulary Words
• Prime Factoring Review
• Exponents and Prime Factors
• Place Value in Base Ten
• Exponents and Multiples of Ten
• Rounding Off
• Patterns in Sums: Column Addition
• Decimal Place Value
• Addition and Subtraction Review
• Regrouping with Different Units
• Multiplication and Division Review
• How to Make Base Ten Materials
• Answer Key

A free downloadable PDF is also included:

• General Organization Grades 4 & 5

This PDF resource includes:

• Foreword by Professor Michael Butler
• Introduction
• Farm School Math Notes
• Teaching Techniques
• Arithmetic Conventions
• Math Journal
• Grading and Dialogues
• Sequence Guides
• Lesson Planning
• Materials and Resources
• Base Ten Materials
• Series Overview

Core Learning Skills:

• Understanding large numbers and place value into the millions
• Exploring exponents and powers of ten conceptually
• Developing decimal place value understanding
• Strengthening operational fluency through pattern recognition
• Connecting place value concepts across all four operations
• Exploring regrouping with different units and representations
• Building algebraic thinking through exponents and numerical structure
• Strengthening number sense through base ten relationships
  

Perfect for:

• Homeschool math curriculums
• Classroom teachers using hands-on math instruction
• Charter school math curriculum programs
• Visual and tactile learners