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

Grade 5 Geometry

5.G.4

About the Math

Full Standard

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

Measurement Topic

This standard is reported on the report card in these quarters as follows:

**5th Grade Students Learning 5th Grade Standards**
Quarter 1	Quarter 2	Quarter 3	Quarter 4
			Report Card Measurement Topic: Demonstrates understanding of geometry concepts.

**4th Grade Students Learning 5th Grade Standards**
Quarter 1	Quarter 2	Quarter 3	Quarter 4
			Report Card Measurement Topic: Demonstrates understanding of measurement and geometry.

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 5

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
		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.

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
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.

Instructional Tasks

TASKS

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

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.

Module 12 Expressions, Coordinate Grids, Geometric Figures

Hierarchy of Geometric Figures:

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

Independent Work

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.

Assessment

Learning Targets

rubric

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.

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.