## Common Core State Standards for Mathematics

Grade(s) 5 resources related to the following standard:
Geometry
Classify two-dimensional figures into categories based on their properties.
3. Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

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This 68-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 5 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-4.
Instructional Strategy, Reference Materials
Grade Level: 5
(1 Comments)
This web page provides links to resources aligned to the CCSS that guide and support fifth grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS), Problems of the Month, (POM home page is cataloged separately) and videos of public lessons and number talks developed by the Noyce Foundation are included. The tasks were designed to measure students' ability to solve non-routine problems, explain and justify their solutions, and promote high level thinking skills. They include the scoring rubric, student responses, and discussion of student understanding and misconceptions. Resources are listed for specific grade 5 standards and are also organized by progression for an alternate search route.
Instructional Strategy, Problem Set, Reference Materials, Video
Grade Level: 5
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This page hosts a collection of geometric tasks in pdf format that are aligned to the CCSS standards 5.G1 through 5.G4. It also has links to supplementary literature and learning materials.
Activity, Problem Set, Image Set
Grade Level: 5
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With this interactive Java Sketchpad applet students use spatial reasoning and measurement skills to explore quadrilateral kites. The vertices can be manipulated as kite properties are maintained. Also included are tasks that focus the learner's manipulations.
Activity, Interactive Media
Grade Level: 3, 4, 5, 6+
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This interactive Flash lesson gives students practice in classifying triangles and measuring angles. Despite its title, the lesson explains, compares and contrasts acute, obtuse, right, scalene, isosceles and equilateral triangles. Students are given practice using a virtual protractor to aid in the classifications. A Teacher Guide (pdf) is available [see #5 at MathActive Lessons for Grades 5-6, cataloged separately]. The lessons list also includes links to Spanish, Navajo, and non-voiced versions of this lesson.
Activity, Interactive Media, Tutorial
Grade Level: 4, 5, 6+
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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+
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This professional development video clip of students engaged in Common Core Practice Standard #6—attend to precision. The video clip shows two important instances of the idea of precision; that precision is important in their measurements of the circumference and diameter and in their use of vocabulary in context as they discover the relationship between circumference, diameter, circles, and pi. Additional resources include a video transcript, teaching tips, and a link to a professional development reflection activity based upon the video.
Instructional Strategy, Video
Grade Level: 4, 5
Resource is part of a PD collection
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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
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This Java applet lets students explore types of quadrilaterals and their diagonal properties by manipulating their vertices. The applet presents a fixed set of diagonals and asks which types of quadrilaterals are constructible, among parallelograms, kites, rhombuses, trapezoids, isosceles trapezoids, squares and rectangles.
Activity, Interactive Media
Grade Level: 4, 5, 6+
(0 Comments)
This lesson and interactive applet lets students explore geometric relationships and make and test conjectures. The main task centers on identifying what distinguishes a rectangle from a more general parallelogram. Students manipulate both figures and look for comparisons. Suggestions for implementation and supplemental tasks are provided.
Interactive Media, Lesson Plans
Grade Level: 3, 4, 5
(1 Comments)