# MAFS.5.G.2.3

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.
General Information
Subject Area: Mathematics
Domain-Subdomain: Geometry
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Classify two-dimensional figures into categories based on their properties. (Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes
Test Item Specifications
Also Assesses:
MAFS.5.G.2.4 Classify and organize two-dimensional figures into Venn diagrams based on the attributes of the figures.

• Assessment Limits :
Attributes of figures may be given or presented within given graphics. Items that include trapezoids must consider both the inclusive and exclusive definitions. Items may not use the term "kite" but may include the figure.
• Calculator :

No

• Context :

No context

Sample Test Items (5)
• Test Item #: Sample Item 1
• Question: Select all the properties that both rectangles and parallelograms always share.

• Difficulty: N/A
• Type: MS: Multiselect

• Test Item #: Sample Item 3
• Question: Select all the shapes that are also always parallelograms. • Difficulty: N/A
• Type: MS: Multiselect

• Test Item #: Sample Item 4
• Question: Select all the names of figures that could also be classified as a rhombus.

• Difficulty: N/A
• Type: MS: Multiselect

• Test Item #: Sample Item 5
• Question: For each attribute, fill in circles to select all the shapes that always have that attribute.

• Difficulty: N/A
• Type: MI: Matching Item

## Related Courses

This benchmark is part of these courses.
5012070: Grade Five Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
5015070: Physical Education - Grade 5 (Specifically in versions: 2014 - 2015, 2015 and beyond (current))
7712060: Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 and beyond (current))
7715045: Access Physical Education Grade 5 (Specifically in versions: 2018 and beyond (current))
5012065: Accelerated Mathematics Plan Grade 4 (Specifically in versions: 2019 and beyond (current))

## Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MAFS.5.G.2.AP.3a: Recognize properties of simple plane figures using polygon-shaped manipulatives.

## Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

## Assessments

Sample 3 - Fifth Grade Math State Interim Assessment:

This is a State Interim Assessment for fifth grade.

Type: Assessment

Sample 1 - Fifth Grade Math State Interim Assessment:

This is a State Interim Assessment for fifth grade.

Type: Assessment

## Formative Assessments

Shape Clues:

Using shape attribute clues, the student will determine shapes that fit these clues and describe a category to which they both belong.

Type: Formative Assessment

Guess My Shape:

Using shape attribute clues, the student is asked to determine two shapes that fit these clues and describe a category to which both belong.

Type: Formative Assessment

Classifying Squares:

Students discuss the attributes of squares and rhombuses and consider how these two shapes are related.

Type: Formative Assessment

What Do You Know About Rectangles?:

Students are asked to describe the defining attributes of parallelograms and to consider the relationship between rectangles and parallelograms.

Type: Formative Assessment

## Image/Photograph

Clipart: Geometric Shapes:

In this lesson, you will find clip art and various illustrations of polygons, circles, ellipses, star polygons, and inscribed shapes.

Type: Image/Photograph

## Lesson Plans

Coding Geometry Challenges #1-7, 14 & 15:

This set of geometry challenges focuses on creating a variety of polygons as students problem solve and think as they learn to code using block coding software.  Student will need to use their knowledge of the attributes of polygons and mathematical principals of geometry to accomplish the given challenges. The challenges start out fairly simple and move to more complex situations in which students can explore at their own pace or work as a team. Computer Science standards are seamlessly intertwined with the math standards while providing “Step it up!” and “Jump it up!” opportunities to increase rigor.

Type: Lesson Plan

Polygon Park:

In this lesson students will use standards-based quadrilaterals and triangles to design a roller coaster tower. Students will use the Engineering Design Process to work through the processes in this lesson.

Type: Lesson Plan

In this lesson, students will practice classifying and naming quadrilaterals. Students will take notes and use the notes to complete a quadrilaterals Venn diagram. Students will be asked to name and classify quadrilaterals using all applicable names.

Type: Lesson Plan

Bridge to Perfection:

During this activity, students will read a book about the Brooklyn Bridge. After whole class discussion, children will explore different types of bridges and data, in order to decipher which bridge is the strongest. The students will work collaboratively in groups with assigned student roles. Students will utilized Higher Order thinking to create a solution. The culminating activity is a presentation of solution to whole class.

Type: Lesson Plan

Analyzing Polyhedra:

Students will construct several simple polyhedra, then count the number of faces, edges, and vertices. These data should suggest Euler's formula. Students will also learn how to determine the number of edges and vertices, given the number of faces and degrees of the vertices. Students will then be able to analyze more complex polyhedra, even in the absence of a concrete model.

Type: Lesson Plan

Triangles are Plane Easy:

The student will be engaged in a paper plane making activity while discovery the attributes of different triangles. The students will learned the similarities and differences of the following triangles: scalene, isosceles, equilateral, right, obtuse, and acute.

Type: Lesson Plan

## Original Student Tutorials

Classifying Triangles by Sides & Angles Using Venn and Euler Diagrams – Part 4:

Learn how triangles can be sorted and classified using side lengths and angle measures in this interactive tutorial.

This is the final tutorial in a four-part series. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

Classifying Triangles by Angles using Euler Diagrams – Part 3:

Learn to classify triangles and use Euler diagrams to show relationships, in this interactive tutorial.

This is part-three of four. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

"Figuring Out" 2D Figures - Part 1:

Explore 2D (two-dimensional) figures and see how every 2D figure possesses unique attributes in this interactive tutorial.

This is part one of four. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

## Teaching Ideas

This lesson is designed to introduce students to quadrilaterals and the terms and properties associated with quadrilaterals. This lesson provides links to discussions and activities related to quadrilaterals as well as suggested ways to integrate them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with the current one.

Type: Teaching Idea

Sets and The Venn Diagram (Beginner):

This lesson is designed to introduce students to sets, what it means to be part of a set, and how Venn diagrams relate to sets. This lesson provides links to discussions and activities related to sets and Venn diagrams as well as suggested ways to integrate them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with the current one.

Type: Teaching Idea

Type: Tutorial

## Virtual Manipulative

Geoboard:

This extremely versatile manipulative can be used by learners of different grades. At early grades, this manipulative will help the students recognize, name, build, draw, and compare two-dimensional shapes. As they progress students can classify and understand relationships among types of two-dimensional objects using their defining properties. The application computes perimeter and area allowing students to explore patterns as dimensions change.

Type: Virtual Manipulative

## STEM Lessons - Model Eliciting Activity

Bridge to Perfection:

During this activity, students will read a book about the Brooklyn Bridge. After whole class discussion, children will explore different types of bridges and data, in order to decipher which bridge is the strongest. The students will work collaboratively in groups with assigned student roles. Students will utilized Higher Order thinking to create a solution. The culminating activity is a presentation of solution to whole class.

## MFAS Formative Assessments

Classifying Squares:

Students discuss the attributes of squares and rhombuses and consider how these two shapes are related.

Guess My Shape:

Using shape attribute clues, the student is asked to determine two shapes that fit these clues and describe a category to which both belong.

Shape Clues:

Using shape attribute clues, the student will determine shapes that fit these clues and describe a category to which they both belong.

What Do You Know About Rectangles?:

Students are asked to describe the defining attributes of parallelograms and to consider the relationship between rectangles and parallelograms.

## Original Student Tutorials Mathematics - Grades K-5

"Figuring Out" 2D Figures - Part 1:

Explore 2D (two-dimensional) figures and see how every 2D figure possesses unique attributes in this interactive tutorial.

This is part one of four. Click below to open the other tutorials in the series.

Classifying Triangles by Angles using Euler Diagrams – Part 3:

Learn to classify triangles and use Euler diagrams to show relationships, in this interactive tutorial.

This is part-three of four. Click below to open the other tutorials in the series.

Classifying Triangles by Sides & Angles Using Venn and Euler Diagrams – Part 4:

Learn how triangles can be sorted and classified using side lengths and angle measures in this interactive tutorial.

This is the final tutorial in a four-part series. Click below to open the other tutorials in the series.

## Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

## Original Student Tutorials

Classifying Triangles by Sides & Angles Using Venn and Euler Diagrams – Part 4:

Learn how triangles can be sorted and classified using side lengths and angle measures in this interactive tutorial.

This is the final tutorial in a four-part series. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

Classifying Triangles by Angles using Euler Diagrams – Part 3:

Learn to classify triangles and use Euler diagrams to show relationships, in this interactive tutorial.

This is part-three of four. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

"Figuring Out" 2D Figures - Part 1:

Explore 2D (two-dimensional) figures and see how every 2D figure possesses unique attributes in this interactive tutorial.

This is part one of four. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

Type: Tutorial

## Virtual Manipulative

Geoboard:

This extremely versatile manipulative can be used by learners of different grades. At early grades, this manipulative will help the students recognize, name, build, draw, and compare two-dimensional shapes. As they progress students can classify and understand relationships among types of two-dimensional objects using their defining properties. The application computes perimeter and area allowing students to explore patterns as dimensions change.

Type: Virtual Manipulative

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

## Image/Photograph

Clipart: Geometric Shapes:

In this lesson, you will find clip art and various illustrations of polygons, circles, ellipses, star polygons, and inscribed shapes.

Type: Image/Photograph

## Virtual Manipulative

Geoboard:

This extremely versatile manipulative can be used by learners of different grades. At early grades, this manipulative will help the students recognize, name, build, draw, and compare two-dimensional shapes. As they progress students can classify and understand relationships among types of two-dimensional objects using their defining properties. The application computes perimeter and area allowing students to explore patterns as dimensions change.

Type: Virtual Manipulative