General Math: Booklet 6

General Math: Booklet 6 – Geometry of Circles, Algebraic Properties, and More Functions from Pattern Press helps students connect geometry, algebra, patterns, and number relationships through creative exploration and discovery-based learning.

This engaging math curriculum resource includes a 61-page Parent/Teacher Guide and a 73-page Student Workbook designed to deepen mathematical understanding through visual models, hands-on investigations, and meaningful problem solving.

Students explore circle geometry, variables, algebraic relationships, functions, order of operations, square numbers, averages, and geometric formulas while building confidence in mathematical reasoning and critical thinking. Lessons encourage students to discover patterns, test ideas, and understand how mathematical concepts connect across multiple areas of study.

The Parent/Teacher Guide includes lesson instructions, games, sample dialogues, teaching support, and the Answer Key. The Student Workbook provides practice pages, puzzles, art projects, and exploratory activities that help students move beyond memorization into true conceptual understanding.

Topics included in this booklet:

• Pascal’s Triangles
• Circle Intersections
• Area and Perimeter
• Circle City Art Project
• Circle Geometry
• Area of Circles
• Variables
• Playing with Parentheses
• Order of Operations, Vertical Format, and Multiplication and Division
• Families of Facts: Missing Numbers
• Multiplication Relationships and Algebra
• Subtraction – Difference Between and Difference Between Patterns
• Pattern Language Puzzles: Algebra
• Square Numbers
• Investigating Cubes
• Averages – Up and Down
• Answer Key

Also included in the General Organization Grades 4 & 5 PDF:

• 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:

• Exploring geometry through circles, area, and perimeter
• Building algebraic thinking through variables and functions
• Strengthening logical reasoning and pattern recognition
• Understanding order of operations and mathematical structure
• Connecting multiplication relationships to algebra concepts
• Developing spatial reasoning through geometry investigations
• Encouraging critical thinking with puzzles and pattern language
• Building deeper number sense through square numbers and cubes
  
• Helping students make connections across multiple math concepts

Perfect for:

• Homeschool math curriculum
  
• Classroom and charter school math programs
  
• Students who thrive with visual and hands-on learning