Understanding part-whole relations and principles for naming fractions

Understanding the unit fraction as the building block for all rational numbers

Understanding equivalency and geometric strategies for creating equiva-lent fractions

Understanding fractions greater than one and translating between mixed numbers and fractions

Reasoning about whole number addition and subtraction to add and subtract fractions

Reasoning about whole number multiplication to understand fraction multiplication

Reasoning about whole number division to understand fraction division

Using equivalent fractions to add and subtract fractions with unlike denominators

Models and contexts for representing fraction multipli-cation and fraction division

Understanding the importance of context

Working with changing units

Strategies for comparing fractions:• Common denominator• Common numerator• Relation to benchmarks such as 0, ½, and 1

How Beyond Pizzas & Pies and Beyond Invert & Multiply work together

Beyond Pizzas & Pies: 10 Essential Strategies for Supporting Fraction Sense, Grades 3–5, Second Edition focuses on the foundational understanding of fraction sense

Beyond Invert & Multiply: Making Sense of Fraction Computation, Grades 3–6 builds on the foundational understanding described in Beyond Pizzas & Pies and applies it to adding, subtracting, multiplying, and dividing fractions. To learn more visit Mathsolutions.com

A division of Houghton Mi�in Harcourt

Each resource features 30 video clips filmed in actual classrooms. Clips range from 1 minute to 6 minutes in length with a total viewing time of approximately 70 minutes.

HMH