Standard #: MAFS.3.G.1.1 (Archived Standard)


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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
Grade: 3
Domain-Subdomain: Geometry
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 Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    N/A

    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 # Question Difficulty Type
Sample Item 1

A square and a trapezoid are shown below.

Which attributes do these shapes always have in common?

 

N/A MS: Multiselect
Sample Item 2

Select the shapes that are always quadrilaterals and not rectangles.

 

N/A MS: Multiselect
Sample Item 3

What is the name of a shape that is a quadrilateral but not a rectangle?

 

N/A MC: Multiple Choice
Sample Item 4

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

N/A ETC: Editing Task Choice


Related Courses

Course Number1111 Course Title222
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 Resources

Educational Game

Name Description
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.

Formative Assessments

Name Description
Identifying Quadrilaterals – 1

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

Drawing Quadrilaterals

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

Identifying Quadrilaterals - 2

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

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.

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
Shape Up Your Civility

Students will be able to listen and cooperate with one another in replicating geometric designs without seeing them and relate this to how citizens demonstrate civility and cooperation to accomplish a common goal.

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.

 

 

 

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.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Hoops for Quadrilaterals

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.

Quadrilateral Quest

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

Pretzel Quadrilaterals

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

It's All About the Shapes

The teacher reads The Greedy Triangle to the class to explore attributes of figures. As the teacher reads, the students create the shapes in the book using geoboards.  Students follow up their exploration with a card sort. The students create Frayer Models in their journals using information they discovered during the lesson.  

Original Student Tutorials

Name Description
Rectangular Road Trip

Learn about the defining attributes of a rectangle to identify and create rectangles as we visit various national parks 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.

Rhombus Dream: Identifying and Drawing Rhombi

Learning about the attributes of a rhombus and how to create a rhombus using its attributes in this interactive tutorial.

Teaching Ideas

Name Description
Quadrilaterals This interactive Java applet allows users to manipulate a square rectangle into various quadrilaterals. There are four tabs on the site including Learner, Activity, Help, and Instructor tabs. On the Activity tab, users can create various quadrilaterals. An information window provides data about the shape created including side lengths and angles. The Learner and Help tabs provide information about the activity. The Instructor tab has a worksheet on quadrilaterals that contains exploration questions which instructors can use as guiding questions to lead students in comparing/contrasting the similarities and differences between various quadrilaterals. (Users can also explore tessellations made from quadrilaterals on this site. Please note: this is not part of third grade standards.)
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.

Tutorials

Name Description
Introduction to types of quadrilaterals

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

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

Virtual Manipulatives

Name Description
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."
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.

Student Resources

Original Student Tutorials

Name Description
Rectangular Road Trip:

Learn about the defining attributes of a rectangle to identify and create rectangles as we visit various national parks 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.

Rhombus Dream: Identifying and Drawing Rhombi:

Learning about the attributes of a rhombus and how to create a rhombus using its attributes in this interactive tutorial.

Tutorials

Name Description
Introduction to types of quadrilaterals:

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

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

Virtual Manipulatives

Name Description
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."
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.



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.

Tutorial

Name Description
Introduction to types of quadrilaterals:

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

Virtual Manipulatives

Name Description
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."
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.



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