This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This Essential Learning document highlights those Common Core Standards identified for sixth grade as the priority standards for the year. It also documents the necessary prerequisite skills for each of the identified Essential Standards, when it will be taught within the IM curriculum and how it will be assessed.

This lesson helps students develop spatial visualization skills and geometric understanding by exploring the different nets that can be folded into a cube. The lesson is placed in the context of a young woman who is trying to build a jewelry box. The lesson provides an activity sheet, a link to a helpful applet (Cube Nets, cataloged separately), questions for students and teachers, and ideas for assessment and extensions.

This task is primarily about volume and surface area, although it also gives students an early look at converting between measurements in scale models and the real objects they correspond to.

This interactive applet helps students develop spatial visualization skills and geometric understanding in both two and three dimensions. From an array of possible nets, students try to select the ones that actually fold to a cube. The applet supports the lesson Building a Box (cataloged separately). An animation that shows one net being folded is included.

This lesson unit is intended to help teachers assess how well students are able to: Select appropriate mathematical methods to use for an unstructured problem; interpret a problem situation, identifying constraints and variables, and specify assumptions; work with 2- and 3-dimensional shapes to solve a problem involving capacity and surface area; and communicate their reasoning clearly.

Explore geometric solids and their properties with these interactive tools, beginning with an introduction to the faces of basic polyhedra; counting the number of faces, edges, and corners (vertices) in various solids; discovering Euler's Formula; constructing physical models of geometric solids; and identifying which geometric solids can be made from given nets.

Professional Development Resource to support the implementation of a high-quality math resource (Math Expressions, 2018), and provide professional learning around the Geometry Progressions.  This professional learning is appropriate for all levels of math educators but focuses on math education for grades 5-8.  It provides educators an opportunity to develop a deeper understanding and make connections to their own grade level Geometry standards. 

In this unit, students design their own clubhouses to learn concepts such as using basic linear measurement, understanding and creating scale representations, and exploring perimeter and area measurement. In addition, they identify, compare, and analyze attributes of two- and three-dimensional shapes and develop geometry vocabulary. The unit is divided into four lessons, and each lesson contains an overview, learning objectives, activity sheets for students, questions for students, assessment options, extensions for further exploration, teacher reflection questions, and correlation to NCTM standards.

This lesson unit is intended to help you assess how well students are able to: Perform arithmetic operations, including those involving whole-number exponents, recognizing and applying the conventional order of operations; Write and evaluate numerical expressions from diagrammatic representations and be able to identify equivalent expressions; apply the distributive and commutative properties appropriately; and use the method for finding areas of compound rectangles.

This lesson unit is intended to help sixth grade teachers assess how well students are able to: Analyze a realistic situation mathematically; construct sight lines to decide which areas of a room are visible or hidden from a camera; find and compare areas of triangles and quadrilaterals; and calculate and compare percentages and/or fractions of areas.

The purpose of this task is to provide students an opportunity to use mathematics addressed in different standards in the same problem.

This resource allows students to build conceptual relationships between two-dimensional shapes and three-dimensional figures by means of nets. Students cut different nets and identify and describe the corresponding figures. Students realize and understand why surface areas are measured in square units, and volume is measured in cubic units.