5.G.3 - About the Math, Learning Targets, and Rigor

Grade 4 G/T Geometry and Measurement

5.G.3

About the Math

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.

 

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 4 G/T

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4
   

 
  • 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.
 

 

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.

Progression Across Grades
Grade 3 Grade 6
  • Classify two-dimensional figures by parallel/perpendicular line segments and angles (4.G.2) 

This concept is not taught after grade 5.  Students are expected to apply the standard proficiently.

 

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Instructional Tasks

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. 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.

Module 12 • Area of Triangles and Quadrilaterals

Describe and Classify Figures Using Attributes:

 

 

Additional Tasks

These links provide instructional ideas connected to this standard. 

Ygesp_1b

 

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. 

Print Resources
Book Thumbnail Book Title Grade Pages
Teaching Student-Centered Mathematics

3-5

Shape Sorts, Activity 8.1, Page 212
Assorted Shapes Links to an external site. BLM
What's My Shape, Activity 8.2, Page 213
Can You Make It?, Activity 8.5, Page 217

Math In Practice

Teaching Fifth-Grade Math

5

Module 15

 

 

 

 

 

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Independent Work

Centers

These print resources can be used during independent or center time. These resources could also be used as lesson seeds.

 

 

 

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.

 

 

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Assessment

Learning Targets

rubric

  • 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. 

 

 

 

 

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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.