FIFTH GRADE > 5.G.3 > TEACHER GUIDE
TEACHER GUIDE TO CLARIFICATION
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5.G.3
Classify two-dimensional figures into categories based on their properties.
5.G.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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Attributes Belong to Both Categories and Subcategories
Example:
Create a Hierarchy Diagram using the following terms: Possible student solutions:
polygons – a closed plane figure formed from line segments that meet only at their endpoints.
quadrilaterals - a four-sided polygon.
rectangles - a quadrilateral with two pairs of congruent parallel sides and four right angles.
rhombi – a parallelogram with all four sides equal in length.
square – a parallelogram with four congruent sides and four right angles.
Polygons
Quadrilaterals
Rectangles Rhombi
Square
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According to PARCC a trapezoid is defined as “A quadrilateral with at least one pair of parallel sides.”
Can you classify a triangle with more than one name? Yes by sides and angles
Are parallelograms trapezoids? Yes according to the PARCC definition because a trapezoid is defined as “A quadrilateral with at least one pair of parallel sides.” A Parallelogram has two pairs of parallel sides so that is more than one!
Do all quadrilaterals have opposite angles congruent or only certain ones? Not All
How many lines of symmetry does a regular polygon have? The number of lines of symmetry in regular polygons is equal to the number of sides it has.
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Coherence and Connections: Need to Know
Grade Below
Grade Level
Grade Above
3.G.1
4.G.2
5.G.3
5.G.4
Evidence
Statement Key
Evidence Statement Text
Clarifications
MP
5.G.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.
i) A trapezoid is defined as “A quadrilateral with at least one pair of parallel sides.”
7,5
Illinois Assessment of Readiness Mathematics Evidence Tables.
Retrieved from: https://www.isbe.net/Documents/IAR-Grade-5-Math-Evidence-State.pdf
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Common Core Standards Writing Team. (2012, June 23).
Progressions for the Common Core State Standards in Mathematics(draft). K-6 Geometry. Tucson, AZ: Institute for Mathematics and Educations, University of Arizona.
Also check out Student Achievement Partners Coherence Map.
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HOT Questions
Sort the 14 shapes using the Venn diagram.
Is a quadrilateral
Is a parallelogram
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Did Lauren Classify the polygons correctly? Justify your answer.
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Additional Resources
http://tasks.illustrativemathematics.org/content-standards/5/G/B/3/tasks/1941
Inside Mathematics - Problem of the Month
https://www.insidemathematics.org/sites/default/files/materials/polly%20gone_27.pdf Level B
https://www.insidemathematics.org/sites/default/files/materials/the%20shape%20of%20things_40.pdf Level D
IL Classrooms in Action - Formative Assessment
http://www.mathteachersinaction.org/formative-assessment-tasks.html
https://hcpss.instructure.com/courses/108/pages/5-dot-g-3-about-the-math-learning-targets-and-rigor