This file contains SMART Notebook pages for all 33 lessons in the Fifth Grade Engage NY New York State Math Module 4. For each lesson, pages are dedicated to the Fluency Practice, Application Problem, and Concept Development sections of the modules. Interactive models and diagrams are included where applicable. These pages help teachers to follow the sequence of the lessons without having to "read" from the script provided by Engage NY.
Engage New York's Overview for Module 4:
Grade 5’s Module 4 extends student understanding of fraction operations to multiplication and division of both fractions and decimal fractions. Work proceeds from interpretation of line plots which include fractional measurements to interpreting fractions as division and reasoning about finding fractions of sets through fraction by whole number multiplication. The module proceeds to fraction by fraction multiplication in both fraction and decimal forms. An understanding of multiplication as scaling and multiplication by n/n as multiplication by 1 allows students to reason about products and convert fractions to decimals and vice versa. Students are introduced to the work of division with fractions and decimal fractions. Division cases are limited to division of whole numbers by unit fractions and unit fractions by whole numbers. Decimal fraction divisors are introduced and equivalent fraction and place value thinking allow student to reason about the size of quotients, calculate quotients and sensibly place decimals in quotients. Throughout the module students are asked to reason about these important concepts by interpreting numerical expressions which include fraction and decimal operations and by persevering in solving real-world, multistep problems which include all fraction operations supported by the use of tape diagrams.