MAFS.3.G.1.1Archived Standard

Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
General Information
Subject Area: Mathematics
Domain-Subdomain: Geometry
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Reason with shapes and their attributes. (Supporting 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 - Archived
Assessed: Yes
Test Item Specifications

• Assessment Limits :
Shapes may include two-dimensional shapes and the following quadrilaterals: rhombus, rectangle, square, parallelogram, and trapezoid. Items may reference and/or rely on the following attributes: number of sides, number of angles, whether the shape has a right angle, whether the sides are the same length, and whether the sides are straight lines. Items may not use the terms “parallel” or “perpendicular.” 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 (4)
• Test Item #: Sample Item 1
• Question:

A square and a trapezoid are shown below.

Which attributes do these shapes always have in common?

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

• Test Item #: Sample Item 4
• Question:

The two figures shown are measured in centimeters (cm).

Complete the statement about the two figures. For each blank, fill in the circle before the word of phrase that is correct.

The shapes are both

because

• Difficulty: N/A
• Type: ETC: Editing Task Choice

Related Courses

This benchmark is part of these courses.
5012050: Grade Three Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712040: Access Mathematics Grade 3 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012055: Grade 3 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 Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

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

Educational Game

Shape & Solid Exploration:

In this game, learners use clues to identify mystery shapes. Use everyday objects (like from the pantry) as the shapes. It is important for learners to be able to describe a shape with correct math vocabulary and to be able to visualize a shape in their head.

Type: Educational Game

Formative Assessments

Students are asked to describe attributes shared by three shapes and to identify a larger category into which these shapes can be placed.

Type: Formative Assessment

Students are asked to draw a shape with four sides that is not a rhombus, rectangle, or square.

Type: Formative Assessment

Students are asked to describe attributes shared by three shapes and to identify a larger category into which these shapes can be placed.

Type: Formative Assessment

Identifying Polygons:

Students are asked to describe attributes shared by three shapes and to identify a larger category into which these shapes can be placed.

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

Artistic Alley:

Students will use their knowledge of how to identify quadrilaterals and how to analyze data to determine a ranking for the best paver designs for a driveway. In this MEA, students will deepen their understanding of the attributes of parallelograms, rectangles, squares, trapezoids and quadrilaterals that do not belong to any of these categories.

Type: Lesson Plan

This is an interactive lesson that allows students to inquire, learn, and successfully categorize various quadrilaterals. They will love the challenge and have fun working collaboratively in the classroom.

Type: Lesson Plan

In this lesson, students categorize shapes identifying the attributes of quadrilaterals.

Type: Lesson Plan

This lesson helps students to realize that shapes have identifying attributes that define them. Students should also discover that a shape can have multiple names based on the definitions of that shape.

Type: Lesson Plan

The teacher begins the lesson by reading The Greedy Triangle to the class to review shape names and attributes. The students create shapes using geoboards and follow up their exploration with Shape Concentration (a game played with a partner). The teacher gathers the students together (whole group) and completes a large Venn Diagram comparing two different shapes. The students write in their journals observations they discovered during the lesson along with creating four squares in their journals (1st square - write word, 2nd square-write definition including attributes, 3rd square - draw a picture, 4th square - draw an example).

Type: Lesson Plan

Lesson Study Resource Kit

Geometry Lesson Study Resource Kit – Third Grade:

This lesson study resource kit can be used to guide and support teams of third grade teachers as they engage in lesson study focused on the academic standards in the Geometry domain.

Type: Lesson Study Resource Kit

Original Student Tutorials

Square Picnic with Comparison to Rectangles:

Help pack for a square picnic while learning about the defining attributes of a square in comparison to rectangles in this interactive tutorial.

Type: Original Student Tutorial

Square Picnic with Comparison to Rhombi:

Learn about the defining attributes of a square and what makes a square different from a rhombus in this interactive tutorial.

Type: Original Student Tutorial

Rhombus Dream: Identifying and Drawing Rhombi:

Join Andy as he travels through his dream, learning about the attributes of rhombi along the way. Together we’ll learn what makes a rhombus unique and how to create a rhombus using its attributes. We’ll help Andy journey through his dream and wake up for school in this interactive tutorial!

Type: Original Student Tutorial

Teaching Ideas

Type: Teaching Idea

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

Tutorials

In this tutorial video from Khan Academy, discover attributes and features of four-sided shapes, including parallelograms, rhombuses, rectangles, and squares.

Type: Tutorial

Polygon Gallery:

This combination of illustrations and narration defines convex as well as concave polygons and describes the features of various polygons. Examples of polygons shown include triangles and quadrilaterals of various types, including some that are convex and some that are concave, and even one that has a hole in it. Narration or read-along text describes the shapes for the user. Copyright 2005 Eisenhower National Clearinghouse

Type: Tutorial

Virtual Manipulatives

Polygon Sort:

This interactive Flash activity asks the user to sort shapes into a 2 by 2 chart, known as a Carroll Diagram, based on their properties. Properties used to sort include "quadrilateral" or "not quadrilateral" and "regular polygon" or "not regular polygon."

Type: Virtual Manipulative

Shape Tool:

This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.

Type: Virtual Manipulative

STEM Lessons - Model Eliciting Activity

Artistic Alley:

Students will use their knowledge of how to identify quadrilaterals and how to analyze data to determine a ranking for the best paver designs for a driveway. In this MEA, students will deepen their understanding of the attributes of parallelograms, rectangles, squares, trapezoids and quadrilaterals that do not belong to any of these categories.

MFAS Formative Assessments

Students are asked to draw a shape with four sides that is not a rhombus, rectangle, or square.

Identifying Polygons:

Students are asked to describe attributes shared by three shapes and to identify a larger category into which these shapes can be placed.

Students are asked to describe attributes shared by three shapes and to identify a larger category into which these shapes can be placed.

Students are asked to describe attributes shared by three shapes and to identify a larger category into which these shapes can be placed.

Original Student Tutorials Mathematics - Grades K-5

Rhombus Dream: Identifying and Drawing Rhombi:

Join Andy as he travels through his dream, learning about the attributes of rhombi along the way. Together we’ll learn what makes a rhombus unique and how to create a rhombus using its attributes. We’ll help Andy journey through his dream and wake up for school in this interactive tutorial!

Square Picnic with Comparison to Rectangles:

Help pack for a square picnic while learning about the defining attributes of a square in comparison to rectangles in this interactive tutorial.

Square Picnic with Comparison to Rhombi:

Learn about the defining attributes of a square and what makes a square different from a rhombus in this interactive tutorial.

Student Resources

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

Original Student Tutorials

Square Picnic with Comparison to Rectangles:

Help pack for a square picnic while learning about the defining attributes of a square in comparison to rectangles in this interactive tutorial.

Type: Original Student Tutorial

Square Picnic with Comparison to Rhombi:

Learn about the defining attributes of a square and what makes a square different from a rhombus in this interactive tutorial.

Type: Original Student Tutorial

Rhombus Dream: Identifying and Drawing Rhombi:

Join Andy as he travels through his dream, learning about the attributes of rhombi along the way. Together we’ll learn what makes a rhombus unique and how to create a rhombus using its attributes. We’ll help Andy journey through his dream and wake up for school in this interactive tutorial!

Type: Original Student Tutorial

Tutorials

In this tutorial video from Khan Academy, discover attributes and features of four-sided shapes, including parallelograms, rhombuses, rectangles, and squares.

Type: Tutorial

Polygon Gallery:

This combination of illustrations and narration defines convex as well as concave polygons and describes the features of various polygons. Examples of polygons shown include triangles and quadrilaterals of various types, including some that are convex and some that are concave, and even one that has a hole in it. Narration or read-along text describes the shapes for the user. Copyright 2005 Eisenhower National Clearinghouse

Type: Tutorial

Virtual Manipulatives

Polygon Sort:

This interactive Flash activity asks the user to sort shapes into a 2 by 2 chart, known as a Carroll Diagram, based on their properties. Properties used to sort include "quadrilateral" or "not quadrilateral" and "regular polygon" or "not regular polygon."

Type: Virtual Manipulative

Shape Tool:

This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.

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

Tutorial

In this tutorial video from Khan Academy, discover attributes and features of four-sided shapes, including parallelograms, rhombuses, rectangles, and squares.

Type: Tutorial

Virtual Manipulatives

Polygon Sort:

This interactive Flash activity asks the user to sort shapes into a 2 by 2 chart, known as a Carroll Diagram, based on their properties. Properties used to sort include "quadrilateral" or "not quadrilateral" and "regular polygon" or "not regular polygon."

Type: Virtual Manipulative

Shape Tool:

This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.

Type: Virtual Manipulative
The provided text is a detailed educational standard and related test items for teaching geometry to third-grade students. It describes the learning objectives, assessment limits, and sample test questions for understanding and categorizing quadrilaterals.
no_question

the text does not contain a specific mathematical question that requires solving or a direct answer to such a question. instead, it provides educational guidelines and sample test items for teachers and students.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
MAFS.3.G.1.1Archived Standard

Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
General Information
Subject Area: Mathematics
Domain-Subdomain: Geometry
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Reason with shapes and their attributes. (Supporting 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 - Archived
Assessed: Yes
Test Item Specifications

• Assessment Limits :
Shapes may include two-dimensional shapes and the following quadrilaterals: rhombus, rectangle, square, parallelogram, and trapezoid. Items may reference and/or rely on the following attributes: number of sides, number of angles, whether the shape has a right angle, whether the sides are the same length, and whether the sides are straight lines. Items may not use the terms “parallel” or “perpendicular.” 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 (4)
• Test Item #: Sample Item 1
• Question:

A square and a trapezoid are shown below.

Which attributes do these shapes always have in common?

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

• Test Item #: Sample Item 4
• Question:

The two figures shown are measured in centimeters (cm).

Complete the statement about the two figures. For each blank, fill in the circle before the word of phrase that is correct.

The shapes are both

because

• Difficulty: N/A
• Type: ETC: Editing Task Choice

Related Courses

This benchmark is part of these courses.
5012050: Grade Three Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712040: Access Mathematics Grade 3 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012055: Grade 3 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 Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

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

Educational Game

Shape & Solid Exploration:

In this game, learners use clues to identify mystery shapes. Use everyday objects (like from the pantry) as the shapes. It is important for learners to be able to describe a shape with correct math vocabulary and to be able to visualize a shape in their head.

Type: Educational Game

Formative Assessments

Students are asked to describe attributes shared by three shapes and to identify a larger category into which these shapes can be placed.

Type: Formative Assessment

Students are asked to draw a shape with four sides that is not a rhombus, rectangle, or square.

Type: Formative Assessment

Students are asked to describe attributes shared by three shapes and to identify a larger category into which these shapes can be placed.

Type: Formative Assessment

Identifying Polygons:

Students are asked to describe attributes shared by three shapes and to identify a larger category into which these shapes can be placed.

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

Artistic Alley:

Students will use their knowledge of how to identify quadrilaterals and how to analyze data to determine a ranking for the best paver designs for a driveway. In this MEA, students will deepen their understanding of the attributes of parallelograms, rectangles, squares, trapezoids and quadrilaterals that do not belong to any of these categories.

Type: Lesson Plan

This is an interactive lesson that allows students to inquire, learn, and successfully categorize various quadrilaterals. They will love the challenge and have fun working collaboratively in the classroom.

Type: Lesson Plan

In this lesson, students categorize shapes identifying the attributes of quadrilaterals.

Type: Lesson Plan

This lesson helps students to realize that shapes have identifying attributes that define them. Students should also discover that a shape can have multiple names based on the definitions of that shape.

Type: Lesson Plan

The teacher begins the lesson by reading The Greedy Triangle to the class to review shape names and attributes. The students create shapes using geoboards and follow up their exploration with Shape Concentration (a game played with a partner). The teacher gathers the students together (whole group) and completes a large Venn Diagram comparing two different shapes. The students write in their journals observations they discovered during the lesson along with creating four squares in their journals (1st square - write word, 2nd square-write definition including attributes, 3rd square - draw a picture, 4th square - draw an example).

Type: Lesson Plan

Lesson Study Resource Kit

Geometry Lesson Study Resource Kit – Third Grade:

This lesson study resource kit can be used to guide and support teams of third grade teachers as they engage in lesson study focused on the academic standards in the Geometry domain.

Type: Lesson Study Resource Kit

Original Student Tutorials

Square Picnic with Comparison to Rectangles:

Help pack for a square picnic while learning about the defining attributes of a square in comparison to rectangles in this interactive tutorial.

Type: Original Student Tutorial

Square Picnic with Comparison to Rhombi:

Learn about the defining attributes of a square and what makes a square different from a rhombus in this interactive tutorial.

Type: Original Student Tutorial

Rhombus Dream: Identifying and Drawing Rhombi:

Join Andy as he travels through his dream, learning about the attributes of rhombi along the way. Together we’ll learn what makes a rhombus unique and how to create a rhombus using its attributes. We’ll help Andy journey through his dream and wake up for school in this interactive tutorial!

Type: Original Student Tutorial

Teaching Ideas

Type: Teaching Idea

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

Tutorials

In this tutorial video from Khan Academy, discover attributes and features of four-sided shapes, including parallelograms, rhombuses, rectangles, and squares.

Type: Tutorial

Polygon Gallery:

This combination of illustrations and narration defines convex as well as concave polygons and describes the features of various polygons. Examples of polygons shown include triangles and quadrilaterals of various types, including some that are convex and some that are concave, and even one that has a hole in it. Narration or read-along text describes the shapes for the user. Copyright 2005 Eisenhower National Clearinghouse

Type: Tutorial

Virtual Manipulatives

Polygon Sort:

This interactive Flash activity asks the user to sort shapes into a 2 by 2 chart, known as a Carroll Diagram, based on their properties. Properties used to sort include "quadrilateral" or "not quadrilateral" and "regular polygon" or "not regular polygon."

Type: Virtual Manipulative

Shape Tool:

This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.

Type: Virtual Manipulative

STEM Lessons - Model Eliciting Activity

Artistic Alley:

Students will use their knowledge of how to identify quadrilaterals and how to analyze data to determine a ranking for the best paver designs for a driveway. In this MEA, students will deepen their understanding of the attributes of parallelograms, rectangles, squares, trapezoids and quadrilaterals that do not belong to any of these categories.

MFAS Formative Assessments

Students are asked to draw a shape with four sides that is not a rhombus, rectangle, or square.

Identifying Polygons:

Students are asked to describe attributes shared by three shapes and to identify a larger category into which these shapes can be placed.

Students are asked to describe attributes shared by three shapes and to identify a larger category into which these shapes can be placed.

Students are asked to describe attributes shared by three shapes and to identify a larger category into which these shapes can be placed.

Original Student Tutorials Mathematics - Grades K-5

Rhombus Dream: Identifying and Drawing Rhombi:

Join Andy as he travels through his dream, learning about the attributes of rhombi along the way. Together we’ll learn what makes a rhombus unique and how to create a rhombus using its attributes. We’ll help Andy journey through his dream and wake up for school in this interactive tutorial!

Square Picnic with Comparison to Rectangles:

Help pack for a square picnic while learning about the defining attributes of a square in comparison to rectangles in this interactive tutorial.

Square Picnic with Comparison to Rhombi:

Learn about the defining attributes of a square and what makes a square different from a rhombus in this interactive tutorial.

Student Resources

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

Original Student Tutorials

Square Picnic with Comparison to Rectangles:

Help pack for a square picnic while learning about the defining attributes of a square in comparison to rectangles in this interactive tutorial.

Type: Original Student Tutorial

Square Picnic with Comparison to Rhombi:

Learn about the defining attributes of a square and what makes a square different from a rhombus in this interactive tutorial.

Type: Original Student Tutorial

Rhombus Dream: Identifying and Drawing Rhombi:

Join Andy as he travels through his dream, learning about the attributes of rhombi along the way. Together we’ll learn what makes a rhombus unique and how to create a rhombus using its attributes. We’ll help Andy journey through his dream and wake up for school in this interactive tutorial!

Type: Original Student Tutorial

Tutorials

In this tutorial video from Khan Academy, discover attributes and features of four-sided shapes, including parallelograms, rhombuses, rectangles, and squares.

Type: Tutorial

Polygon Gallery:

This combination of illustrations and narration defines convex as well as concave polygons and describes the features of various polygons. Examples of polygons shown include triangles and quadrilaterals of various types, including some that are convex and some that are concave, and even one that has a hole in it. Narration or read-along text describes the shapes for the user. Copyright 2005 Eisenhower National Clearinghouse

Type: Tutorial

Virtual Manipulatives

Polygon Sort:

This interactive Flash activity asks the user to sort shapes into a 2 by 2 chart, known as a Carroll Diagram, based on their properties. Properties used to sort include "quadrilateral" or "not quadrilateral" and "regular polygon" or "not regular polygon."

Type: Virtual Manipulative

Shape Tool:

This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.

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

Tutorial

In this tutorial video from Khan Academy, discover attributes and features of four-sided shapes, including parallelograms, rhombuses, rectangles, and squares.

Type: Tutorial

Virtual Manipulatives

Polygon Sort:

This interactive Flash activity asks the user to sort shapes into a 2 by 2 chart, known as a Carroll Diagram, based on their properties. Properties used to sort include "quadrilateral" or "not quadrilateral" and "regular polygon" or "not regular polygon."

Type: Virtual Manipulative

Shape Tool:

This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.

Type: Virtual Manipulative
user
The provided text is a detailed educational standard and related test items for teaching geometry to third-grade students. It describes the learning objectives, assessment limits, and sample test questions for understanding and categorizing quadrilaterals.

TYPE: NO_QUESTION

The text does not contain a specific mathematical question that requires solving or a direct answer to such a question. Instead, it provides educational guidelines and sample test items for teachers and students.