5.G.4 - About the Math, Learning Targets, and Rigor

Full Standard

Classify two-dimensional figures in a hierarchy based on properties.

Learning Targets (I can)

• Sort shapes by a single property and then among these shapes group those that share a second property, etc.
• Explain how two-dimensional shapes can belong to more than one subgroup based on their attributes.

About the Math

This standard connects with 5.G.3. 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 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.

TASKS

These tasks can be used with small group or whole group instruction.

• Is a rhombus always a square? Is a square always a rhombus? Use examples to support your answer.
• How are square, quadrilateral, rhombus, rectangle, parallelogram and trapezoid alike and different?
• Scott made a rectangle, but the teacher said it is not a rectangle. How can Scott check to know if it is a rectangle or not?

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.

Additional Tasks

  These links provide instructional ideas connected to this standard. 

• Always, Sometimes, Never Links to an external site. (Illustrative Mathematics)
• What is a Trapezoid? (Part 2) Links to an external site. (Illustrative Mathematics) 
• You Are Hired Download You Are Hired
  (Utah Core Academy Lesson)
• You Are Hired Student Resource Download You Are Hired Student Resource
  (Utah Core Academy Lesson)
• Investigating Quadrilaterals Links to an external site. (Georgia Department of Education, pg. 51-63)
• Shapely Pairs & Logic of Shapes Links to an external site.(Georgia Department of Education, pg. 77-86)

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	Triangle Sort, Activity 8.7, Page 225 Triangle Sort Links to an external site. BLM Property Lists for Quadrilaterals, Activity 8.8, Page 226 Property Lists of Quadrilaterals Links to an external site. BLM Diagonal Strips, Activity 8.9 , Page 227 Minimal Defining Lists, Activity 8.11, Page 230 True or False, Activity 8.12, Page 231
	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.

• Triangle Diagram Sides Download Triangle Diagram Sides
  (HCPSS-adapted print resource)
• Triangle Diagram Angles Download Triangle Diagram Angles
  (HCPSS-adapted print resource)
• Quadrilateral Diagram Download Quadrilateral Diagram
  (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.

• Classify Shapes a Links to an external site.
• Classify Shapes b Links to an external site.

• Explain How 2-D Shapes Belong to More Than One Subgroup 1Links to an external site.
• Explain How 2-D Shapes Belong to More Than One Subgroup 2Links to an external site.

Learning Targets

• Sort shapes by a single property and then among these shapes group those that share a second property, etc.
• Explain how two-dimensional shapes can belong to more than one subgroup based on their 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.