Fractions: Booklet 3

Fractions: Booklet 3 – Mixed Numbers and Improper Fractions from Pattern Press is a hands-on math curriculum resource designed to help students understand mixed numbers, improper fractions, and fraction operations through concrete models, visual learning, and discovery-based instruction.

This booklet set includes a 32-page Parent/Teacher Guide and a 37-page Student Workbook that guide students through the relationships between mixed numbers and improper fractions using manipulatives, number lines, and hands-on mathematical exploration. Rather than simply memorizing conversion procedures, students develop a conceptual understanding of why mixed numbers and improper fractions are connected and how they represent quantities in different forms.

Students work with concrete fraction models and visual representations to explore converting between improper fractions and mixed numbers, adding mixed numbers with like denominators, and subtracting mixed numbers with regrouping. Through guided discovery and pattern recognition, learners build confidence and flexibility with fraction reasoning.

The Parent/Teacher Guide includes teaching instructions, sample dialogues, games, lesson support, and the Answer Key. The Student Workbook includes worksheets and practice pages designed to reinforce understanding through visual and active learning.

Topics included in this booklet:

• Student Assessment
• Assessment Guide
• Mixed Numbers to Improper Fractions
• Mixed Numbers and Improper Fractions on Number Lines
• Improper Fractions to Mixed Numbers
• Addition of Mixed Numbers with Like Denominators
• Mixed Numbers Meet Subtraction
• Subtraction of Mixed Numbers with Regrouping
• Answer Key

Free downloadable PDFs are also included:

• Prism Fractions Paper Set PDF - Circles.
• Prism Fractions Paper Set PDF - Squares. 
• Fractions Tool Chest PDF 

The Fractions Tool Chest PDF includes:

• Foreword by Professor Michael Butler
• Introduction
• Farm School Math Notes
• Teaching Techniques
• Arithmetic Conventions
• Fraction Series Overview
• Sequence Guide
• Prism Fractions Instructions
• Materials and Resources

Core Learning Skills:

• Understanding the relationship between mixed numbers and improper fractions
• Converting between mixed numbers and improper fractions conceptually
• Using number lines to visualize fraction relationships
• Developing fraction operation skills through visual models
• Adding mixed numbers with like denominators
• Exploring subtraction of mixed numbers with regrouping
• Strengthening fraction number sense through hands-on learning
• Connecting concrete fraction models to symbolic notation
• Supporting flexible mathematical thinking and conceptual understanding

Perfect for:

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