Module 5

This course is a part of 5th grade (Eureka Math/EngageNY), a 6-course Topic series from Khan Academy.

"In this module, students work with two- and three-dimensional figures. Volume is introduced to students through concrete exploration of cubic units and culminates with the development of the volume formula for right rectangular prisms. The second half of the module turns to extending students’ understanding of two-dimensional figures. Students combine prior knowledge of area with newly acquired knowledge of fraction multiplication to determine the area of rectangular figures with fractional side lengths. They then engage in hands-on construction of two-dimensional shapes, developing a foundation for classifying the shapes by reasoning about their attributes. This module fills a gap between Grade 4’s work with two-dimensional figures and Grade 6’s work with volume and area." Eureka Math/EngageNY (c) 2015 GreatMinds.org

This course contains 4 segments:

Topic A: Concepts of volume

Topic A includes lessons 1-3. "Explore volume by building with and counting unit cubes. Find the volume of a right rectangular prism by packing with cubic units and counting. Compose and decompose right rectangular prisms using layers." Eureka Math/EngageNY (c) 2015 GreatMinds.org

Topic B: Volume and the operations of multiplication and addition

Topic B includes lessons 4-9. "Use multiplication to calculate volume. Use multiplication to connect volume as packing with volume as filling. Find the total volume of solid figures composed of two non-overlapping rectangular prisms. Solve word problems involving the volume of rectangular prisms with whole number edge lengths. Apply concepts and formulas of volume to design a sculpture using rectangular prisms within given parameters." Eureka Math/EngageNY (c) 2015 GreatMinds.org (Currently, we do not have content for Lesson 9.)

Topic C: Area of rectangular figures with fractional side lengths

Topic C includes lessons 10-15. "Find the area of rectangles with whole-by-mixed and whole-by-fractional number side lengths by tiling, record by drawing, and relate to fraction multiplication. Find the area of rectangles with mixed-by-mixed and fraction-by-fraction side lengths by tiling, record by drawing, and relate to fraction multiplication. Measure to find the area of rectangles with fractional side lengths. Multiply mixed number factors, and relate to the distributive property and area model. Solve real world problems involving area of figures with fractional side lengths using visual models and/or equations." Eureka Math/EngageNY (c) 2015 GreatMinds.org (Currently, we do not have content for Lessons 11 and 14.)

Topic D: Drawing, analysis, and classification of two-dimensional shapes

Topic D includes lessons 16-21. "Draw trapezoids to clarify their attributes, and define trapezoids based on those attributes. Draw parallelograms to clarify their attributes, and define parallelograms based on those attributes. Draw rectangles and rhombuses to clarify their attributes, and define rectangles and rhombuses based on those attributes. Draw kites and squares to clarify their attributes, and define kites and squares based on those attributes. Classify two-dimensional figures in a hierarchy based on properties. Draw and identify varied two-dimensional figures from given attributes." Eureka Math/EngageNY (c) 2015 GreatMinds.org (Currently, we do not have content for Lesson 16.)