MODULE 3 Students will extend their previous understanding of fraction operations to now devise formal algorithms for multiplying fractional parts and division of a fractions and whole number. Students will model, reason with properties of operations, and devise recording systems for working with fraction multiplication and division. Students will apply their 4th grade understanding of decomposing fractions to unit fractions as a strategy for model and reasoning real world multiplication situations involving fractions. Students use patterns to multiply fractions and connect their understanding of this operation to working with division. In addition, students will apply their fractional understanding to working with decimal operations involving multiplication and division.
Students will apply their understanding of these operations in working with area and volume situations as well as order of operations. Students will formalize their understanding of the principles in these units in future grades as they become fluent in working with rational number operations, develop a broader scope and understanding of number theory and its connections to mathematical properties. Fundamentally students will use these ideas to lead to working with proportional and algebraic thinking in the future.