## Common Core State Standards for Mathematics

Grade(s) 6 resources related to the following standard:
Geometry
Solve real-world and mathematical problems involving area, surface area, and volume.
1. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

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This animated PowerPoint presentation uses shearing and the invariance of the area of triangles with congruent bases and heights to show a step-by-step geometric proof of the Pythagorean Theorem.
Demonstration
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 website is a resource for teachers and students looking for real world geometry and measurement applications. The website houses a comprehensive catalog of the flags of nations and other entities. The images, descriptions, colors, symbolisms, measurements and proportions are detailed for each flag.
Data Sets
This webpage contains customizable resources that promote evidence-based practices, such as Universal Design for Learning (UDL), and that make use of technology to support the Common Core State Standards (CCSS) for all learners. Resources include Math Instructional Strategy Guides that address effective practices as well as sample lessons and articles that provide strategies for implementing formative assessment, UDL, and technology.
Instructional Strategy, Lesson Plans
Grade Level: K, 1, 2, 3, 4, 5, 6+
These 4 activities, part of the Mathematics Developmental Continuum of the State of Victoria, Australia, are intended to introduce learners to the problem solving skills of clarifying questions, making assumptions and choosing a solving strategy. Students are challenged to investigate problems in household math, open-ended planning projects, and Fermi questions. Supporting documents and progress indicators are included.
Activity, Instructor Guide/Manual
Grade Level: 3, 4, 5, 6+
Resource is part of a PD collection