5.G.3 - About the Math, Learning Targets, and Rigor
Grade 5 Geometry
5.G.3
Full Standard
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.
Measurement Topic
This standard is reported on the report card in these quarters as follows:
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
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Report Card Measurement Topic: Demonstrates understanding of geometry concepts. |
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
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Report Card Measurement Topic: Demonstrates understanding of measurement and geometry. |
Learning Targets (I can)
- Describe two-dimensional figures by their attributes (i.e. number of sides, angles, length of sides, parallel and perpendicular lines).
- Compare two-dimensional figures by their attributes.
- Classify two-dimensional figures by their attributes.
- Describe how two-dimensional figures can belong to several subcategories according to their attributes.
- Identify subcategories using two-dimensional attributes.
About the Math
We classify figures by their attributes. 2 figures may share similar attributes but also have different attributes. These similarities and differences allow us to group figures as subsets of others. For example, rectangles and squares are both quadrilaterals. All squares are rectangles because they are 4 90° vertices. However, all rectangles are not squares because some of them have a set of opposite sides that are not equal to the other set.
Progression of Standard within Grade 5
This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
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Progression of this Standard Across Grades
This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.
Grade 3 | Grade 6 |
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This concept is not taught after grade 5. Students are expected to apply the standard proficiently. |
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TASKS
These tasks can be used with small group or whole group instruction.
- Can you draw a shape that has no lines of symmetry, exactly two right angles and one acute angle?
- What is the definition of a parallelogram? Does a square fit in that category?
- Draw two quadrilaterals, compare their angles, sides, lines or symmetry etc.
- How many other classifications does a square fit? (A square is a parallelogram, and a rhombus, and a rectangle.)
SLIDE-BASED TASKS
These links are HCPSS created instructional tasks. These tasks are provided in Google slides. When selected, a copy of the file is added to your drive for classroom use. These tasks should be used for inspiration and resources, but instruction should start with students having the opportunity to engage with the math first (often involving physical and/or visual models) followed by discussion and explicit instruction to ensure student understanding.
Additional Tasks
These links provide instructional ideas connected to this standard.
- What do these shapes have in common? Links to an external site. (Illustrative Mathematics)
- Sorting Shapes Links to an external site. (Inside Mathematics Lesson)
- Polly Gone Task B pg. 4 & 12 (Noyce Foundation) Links to an external site. (Inside Mathematics Lesson)
- Playground Design Download Playground Design (Utah Core Academy Lesson)
- Playground Design Student Resource Download Playground Design Student Resource (Utah Core Academy Lesson)
- Tile the Kitchen Download Tile the Kitchen (Utah Core Academy Lesson)
- Tile the Kitchen Student Resource Download Tile the Kitchen Student Resource (Utah Core Academy Lesson)
- Classifying Quadrilaterals Download Classifying Quadrilaterals (Utah Core Academy Lesson)
- Classifying Quadrilaterals Student Resource Download Classifying Quadrilaterals Student Resource (Utah Core Academy Lesson)
- Sum of All Angles Download Sum of All Angles (Utah Core Academy Lesson)
- Sum of All Angles Student Resource Download Sum of All Angles Student Resource (Utah Core Academy Lesson)
- Sculpture Download Sculpture (Utah Core Academy Lesson)
- Attributes Download Attributes (Utah Core Academy Lesson)
- Polygon Capture Links to an external site.(Georgia Department of Education, pg. 11-19)
- Rectangles and Parallelograms Links to an external site. (Georgia Department of Education, pg. 41-47)
Tasks From Print Resources
These publications have been provided for each school. They are typically stored in team closets or the media center. Check with your team leader if you cannot find them.
Book Thumbnail | Book Title | Grade | Pages |
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Teaching Student-Centered Mathematics |
3-5 |
Shape Sorts, Activity 8.1, Page 212 |
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Math In Practice Teaching Fifth-Grade Math |
5 |
Module 15 |
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Centers
These print resources can be used during independent or center time. These resources could also be used as lesson seeds.
- Quadrilateral Compare Download Quadrilateral Compare (HCPSS-adapted print resource)
- Tangram Quadrilaterals Download Tangram Quadrilaterals (HCPSS-adapted print resource)
- Quadrilateral Qualities Download Quadrilateral Qualities (HCPSS-adapted print resource)
- Quadrilateral Construction Download Quadrilateral Construction (HCPSS-adapted print resource)
INDEPENDENT PRACTICE/HOMEWORK/ASSESSMENT
These resource sheets can be used for independent practice, homework, or assessment. They are intended to reinforce procedures and concepts. They should not be used as a source of direct instruction or whole-group practice.
- Attributes of Shapes a Links to an external site.
- Attributes of Shapes b Links to an external site.
- Describe Two-Dimensional Figures by Attributes 1 Links to an external site.
- Describe Two-Dimensional Figures by Attributes 2 Links to an external site.
- Classify Two-Dimensional Figures by Attributes Links to an external site.
- Describe how 2-D Figures Can Belong to Several Subcategories 1 Links to an external site.
- Describe how 2-D Figures Can Belong to Several Subcategories 2 Links to an external site.
- Identify Subcategories Using Attributes Links to an external site.
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Learning Targets
- Describe two-dimensional figures by their attributes (i.e. number of sides, angles, length of sides, parallel and perpendicular lines).
- Compare two-dimensional figures by their attributes.
- Classify two-dimensional figures by their attributes.
- Describe how two-dimensional figures can belong to several subcategories according to their attributes.
- Identify subcategories using two-dimensional attributes.
Learning targets identify what students should be able to do. This rubric can be applied to tasks and observations for assessment and/or grading.
Rubric for Tasks Links to an external site.
Visit the SBIR (Standards Based Instruction and Reporting) tab in Course Essentials for more information and clarification. There you will find the measurement topic crosswalk, report card comments, links to professional learning/resources and guidance.
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This course content is offered under a CC Attribution Non-Commercial Share Alike
Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.