## Common Core State Standards for Mathematics

Grade(s) 4 resources related to the following standard:
Geometry
Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
1. Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

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This 75-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 4 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-3 and 5.
Instructional Strategy, Reference Materials
This web page provides links to resources aligned to the CCSS that guide and support fourth grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS) for the Noyce Foundation, Problems of the Month, (POM home page is cataloged separately) and videos of public lessons and number talks developed by the Noyce Foundation are also included. The performance tasks were originally designed to measure students' ability to solve non-routine problems and then to explain and justify their solutions. The task scoring rubric, student responses, and discussion of student understanding and misconceptions are provided to improve instruction. Resources are listed for specific grade 4 standards and are also organized by progression for an alternate search route.
Activity, Instructional Strategy, Problem Set, Reference Materials, Video
This page hosts a collection of geometric tasks in pdf format that are aligned to the CCSS standards 4.G1 through 4.G3. It also has links to supplementary literature and learning materials.
Activity, Problem Set, Image Set
This question and answer service for math students and their teachers offers a searchable archive all about two-dimensional geometry at the elementary level.
Reference Materials, Community
Grade Level: 3, 4, 5, 6+
This narrative document describes the progression of Geometry across the K-6 grade band. It is informed both by research on children's cognitive development and by the logical structure of mathematics. The document discusses the most important goals for elementary geometry in three categories, namely, geometric shapes and their categories, composing and decomposing geometric shapes, and spatial relations and spatial structuring.
Reference Materials, Article
Grade Level: K, 1, 2, 3, 4, 5, 6+
Resource is part of a PD collection
This set of lessons guides students in the making of the Sierpinski Triangle, Jurassic Park fractal, and Koch Snowflake, both with paper and pencil, and with Java applets. Accompanying articles, written for children, explain the properties of fractals (self-similarity, fractional dimension, formation by iteration) and answer the questions "Why study fractals? What's so hot about fractals, anyway?"
Activity, Interactive Media, Lesson Plans, Unit of Instruction
Grade Level: 4, 5
This iOS app is an open-ended tool for exploring a variety of mathematical topics. Learners stretch colored bands around pegs to form line segments and polygons in order to make discoveries about perimeter, area, angles, congruence, and fractions. Users can switch from a 25-peg board to an expanded 150-peg board and fill in the interior of shapes with transparent color.
Interactive Media, Mobile App
Grade Level: K, 1, 2, 3, 4, 5