Standard #: MAFS.5.G.2.3 (Archived Standard)


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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
Grade: 5
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 Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved - Archived
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 # Question Difficulty Type
Sample Item 1 Select all the properties that both rectangles and parallelograms always share. 

 

N/A MS: Multiselect
Sample Item 2 Which kinds of shapes are always rectangles? 

 

N/A MC: Multiple Choice
Sample Item 3 Select all the shapes that are also always parallelograms.

 

N/A MS: Multiselect
Sample Item 4 Select all the names of figures that could also be classified as a rhombus. 

 

N/A MS: Multiselect
Sample Item 5 For each attribute, fill in circles to select all the shapes that always have that attribute.

 

 

N/A MI: Matching Item


Related Courses

Course Number1111 Course Title222
5012070: Grade Five Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
5015070: Physical Education - Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024 (current), 2024 and beyond)
7712060: Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5001060: Art - Intermediate 3 (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 and beyond (current))
7715045: Access Physical Education Grade 5 (Specifically in versions: 2018 - 2023, 2023 and beyond (current))
5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))


Related Resources

Formative Assessments

Name Description
Shape Clues

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

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.

Classifying Squares

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

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.

Image/Photograph

Name Description
Clipart: Geometric Shapes

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

Lesson Plans

Name Description
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.

 

 

 

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.

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.

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.

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.

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.

Original Student Tutorials

Name Description
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)

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 

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

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.

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.

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.

"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.

Teaching Ideas

Name Description
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.

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.

Tutorial

Name Description
Quadrilateral Overview

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

Student Resources

Original Student Tutorials

Name Description
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)

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 

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

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.

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.

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.

"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.

Tutorial

Name Description
Quadrilateral Overview:

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



Parent Resources

Image/Photograph

Name Description
Clipart: Geometric Shapes:

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



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