## Common Core State Standards for Mathematics

Grade(s) 1 resources related to the following standard:
Geometry
Reason with shapes and their attributes.
2. Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.

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This 46-page pdf document demonstrates the connections between the CCSS content standards and the mathematical practice standards. It is a compilation of research, standards from several states, instructional strategies, common misconceptions, and examples for each standard at the grade 1 level. It is intended to help teachers understand what each standard means in terms of what students must know and be able to do. Additional flip books are cataloged separately for grades K and 2-5.
Instructional Strategy, Reference Materials
This web page provides links to resources aligned to the CCSS that guide and support first grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS) and Problems of the Month, (POM home page is cataloged separately) developed by the Noyce Foundation are included. The activities were designed to measure students' ability to solve non-routine problems, explain and justify their solutions, and promote high level thinking skills. Resources are listed for specific grade 1 standards and are also organized by progression for an alternate search route.
Instructional Strategy, Problem Set, Reference Materials
This page hosts a collection of geometric tasks in pdf format that are aligned to the CCSS standards 1.G1 through 1.G3. It also has links to supplementary literature and learning materials.
Activity, Problem Set, Image Set
This interactive Flash lesson helps students to visualize the faces and edges that make up cubes and to distinguish cubes from other shapes. A pdf teacher guide is available at MathActive Lessons for Grades 3-4 (cataloged separately), which also includes links to unvoiced, Navajo, and Spanish versions of the lesson (see #1, 3, 4).
Activity, Interactive Media
Grade Level: K, 1, 2, 3, 4
This problem is an investigation into combinations of a number of cubes. It is a practical activity which involves working systematically, and visualizing and relating 3D shapes to their representation on paper. Children are asked how many different towers are possible using seven cubes on a base of two of them. The Teachers' Notes page includes suggestions for implementation, discussion questions, ideas for extension and support, and printable handouts (word/pdf).
Activity
This activity asks students to visualize and construct three-dimensional objects from the two-dimensional drawings. Students are shown four solids composed of cubes, and they must reproduce the objects with manipulatives or sketch them on isometric dot paper. Ideas for implementation, extension and support are included along with a printable sheet of dot paper.
Activity
This 3 lesson instructional unit helps students investigate many different aspects of triangles including basic properties of triangles, building other shapes from triangles, the dependence of the third side length on the other two (Triangle Inequality Theorem), and the Sierpinski Triangle fractal. The lesson includes student activity sheets and links to interactive applets.
Activity, Interactive Media, Lesson Plans