Cluster 2: Classify two-dimensional figures into categories based on their properties. (Additional Cluster)Archived

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.

General Information
Number: MAFS.5.G.2
Title: Classify two-dimensional figures into categories based on their properties. (Additional Cluster)
Type: Cluster
Subject: Mathematics - Archived
Grade: 5
Domain-Subdomain: Geometry

Related Standards

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Access Points

MAFS.5.G.2.AP.3a
Recognize properties of simple plane figures using polygon-shaped manipulatives.
MAFS.5.G.2.AP.4a
Use polygon-shaped manipulatives to classify and organize two-dimensional figures into Venn diagrams based on the attributes of the figures.

Related Resources

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

Formative Assessments

Classifying Shapes:

Students are asked to classify quadrilaterals and trapezoids by their properties.

Type: Formative Assessment

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

Where Do They Belong:

Students are asked to sort shapes using a Venn diagram and to determine the label for each section of the diagram.

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

Classifying Quadrilaterals:

Students are given a diagram of quadrilaterals that have been sorted and are asked to determine how the shapes were sorted. Then, students are given two additional quadrilaterals and asked to place them into the appropriate region on the diagram.

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

Trapezoids:

Students are asked to consider how the hierarchy of quadrilaterals would change based on the two different definitions of trapezoids.

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

States of Matter and Their Properties - Lesson #1 :

Matter exists in three different states. Depending on factors such as temperature and pressure, matter can exist as a solid, liquid, or gas. Under specific conditions, matter has precise freezing, melting, and boiling points. This is the first lesson in a unit about matter.

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

Go TRI a Kite!:

In this lesson, students will identify and classify triangles. In addition, students will demonstrate how to solve problems requiring attention to approximation, selection of appropriate measuring tools, and precision of measurement using triangles.

Type: Lesson Plan

Calling All Quads!:

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

Where in the Venn are the Quadrilaterals?:

"Where in the Venn are the Quadrilaterals?" is an activity that helps the student to develop a better understanding of classifying two-dimensional figures in a hierarchy based on properties.

Type: Lesson Plan

Triangles are Plane Easy:

The student will be engaged in a paper plane making activity while discovering 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

More Quadrilaterals - Part 7:

By the end of this tutorial you should be able to identify examples of quadrilaterals and their defining attributes to classify them using diagrams. We will focus on kites and other quadrilaterals in this tutorial.

This part 7 in a 8-part series. Click below to explore the other tutorials in the series.

Part 1: "Figuring Out" 2D Figures

Part 2: Exploring Relationships with Venn & Euler Diagrams

Part 3: Classifying Triangles by Angles Using Euler Diagrams

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

Part 5: Quadrilaterals

Part 6: Trapezoids

Part 8: (Coming Soon)

Type: Original Student Tutorial

Action ‘Figures’ Unite! - Part 8:

Apply your understanding of the defining attributes of all 2-dimensional figures covered in this series to classify their relationships using Euler and Venn Diagrams.

This part 8 in a 8-part series. Click below to explore the other tutorials in the series. 

Part 1: "Figuring Out" 2D Figures

Part 2: Exploring Relationships with Venn & Euler Diagrams

Part 3: Classifying Triangles by Angles Using Euler Diagrams

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

Part 5: Quadrilaterals 

Part 6: Trapezoids

Part 7: More Quadrilaterals 

Type: Original Student Tutorial

More Quadrilaterals - Part 7:

By the end of this tutorial you should be able to identify examples of quadrilaterals and their defining attributes to classify them using diagrams. We will focus on kites and other quadrilaterals in this tutorial.

This part 7 in a 8-part series. Click below to explore the other tutorials in the series.

Part 1: "Figuring Out" 2D Figures

Part 2: Exploring Relationships with Venn & Euler Diagrams

Part 3: Classifying Triangles by Angles Using Euler Diagrams

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

Part 5: Quadrilaterals

Part 6: Trapezoids

Part 8: (Coming Soon)

Type: Original Student Tutorial

Trapezoids Part 6:

Explore the defining attributes of trapezoids--a special type of quadrilateral--and classify them using diagrams in this interactive tutorial. You'll also learn how two different definitions for a trapezoid can change affect classifications of quadrilaterals. 

This part 6 in a 6-part series. Click below to explore the other tutorials in the series. 

Part 1: "Figuring Out" 2D Figures

Part 2: Exploring Relationships with Venn & Euler Diagrams

Part 3: Classifying Triangles by Angles Using Euler Diagrams

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

Part 5: Quadrilaterals

Type: Original Student Tutorial

Quadrilaterals - Part 5:

Learn how to classify quadrilaterals--including parallelograms, rectangles, rhombi, and squares--based on their defining attributes using diagrams in this interactive tutorial.

This is part 5 in a 6-part series. Click below to explore the other tutorials in the series. 

Type: Original Student Tutorial

Exploring Relationships with Venn & Euler Diagrams – Part 2:

Learn how to show relationships represented in Venn & Euler Diagrams as you complete this interactive geometry tutorial.

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

Type: Original Student Tutorial

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

An Introduction To Quadrilaterals:

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

Tutorial

Quadrilateral Overview:

This Khan Academy tutorial video introduces quadrilaterals. their categories, and subcategories.

Type: Tutorial

Student Resources

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

Original Student Tutorials

More Quadrilaterals - Part 7:

By the end of this tutorial you should be able to identify examples of quadrilaterals and their defining attributes to classify them using diagrams. We will focus on kites and other quadrilaterals in this tutorial.

This part 7 in a 8-part series. Click below to explore the other tutorials in the series.

Part 1: "Figuring Out" 2D Figures

Part 2: Exploring Relationships with Venn & Euler Diagrams

Part 3: Classifying Triangles by Angles Using Euler Diagrams

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

Part 5: Quadrilaterals

Part 6: Trapezoids

Part 8: (Coming Soon)

Type: Original Student Tutorial

Action ‘Figures’ Unite! - Part 8:

Apply your understanding of the defining attributes of all 2-dimensional figures covered in this series to classify their relationships using Euler and Venn Diagrams.

This part 8 in a 8-part series. Click below to explore the other tutorials in the series. 

Part 1: "Figuring Out" 2D Figures

Part 2: Exploring Relationships with Venn & Euler Diagrams

Part 3: Classifying Triangles by Angles Using Euler Diagrams

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

Part 5: Quadrilaterals 

Part 6: Trapezoids

Part 7: More Quadrilaterals 

Type: Original Student Tutorial

More Quadrilaterals - Part 7:

By the end of this tutorial you should be able to identify examples of quadrilaterals and their defining attributes to classify them using diagrams. We will focus on kites and other quadrilaterals in this tutorial.

This part 7 in a 8-part series. Click below to explore the other tutorials in the series.

Part 1: "Figuring Out" 2D Figures

Part 2: Exploring Relationships with Venn & Euler Diagrams

Part 3: Classifying Triangles by Angles Using Euler Diagrams

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

Part 5: Quadrilaterals

Part 6: Trapezoids

Part 8: (Coming Soon)

Type: Original Student Tutorial

Trapezoids Part 6:

Explore the defining attributes of trapezoids--a special type of quadrilateral--and classify them using diagrams in this interactive tutorial. You'll also learn how two different definitions for a trapezoid can change affect classifications of quadrilaterals. 

This part 6 in a 6-part series. Click below to explore the other tutorials in the series. 

Part 1: "Figuring Out" 2D Figures

Part 2: Exploring Relationships with Venn & Euler Diagrams

Part 3: Classifying Triangles by Angles Using Euler Diagrams

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

Part 5: Quadrilaterals

Type: Original Student Tutorial

Quadrilaterals - Part 5:

Learn how to classify quadrilaterals--including parallelograms, rectangles, rhombi, and squares--based on their defining attributes using diagrams in this interactive tutorial.

This is part 5 in a 6-part series. Click below to explore the other tutorials in the series. 

Type: Original Student Tutorial

Exploring Relationships with Venn & Euler Diagrams – Part 2:

Learn how to show relationships represented in Venn & Euler Diagrams as you complete this interactive geometry tutorial.

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

Type: Original Student Tutorial

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

Tutorial

Quadrilateral Overview:

This Khan Academy tutorial video introduces quadrilaterals. their categories, and subcategories.

Type: Tutorial

Parent Resources

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

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