MA.3.GR.1.2

Identify and draw quadrilaterals based on their defining attributes. Quadrilaterals include parallelograms, rhombi, rectangles, squares and trapezoids.

Clarifications

Clarification 1: Instruction includes a variety of quadrilaterals and a variety of non-examples that lack one or more defining attributes when identifying quadrilaterals.

Clarification 2: Quadrilaterals will be filled, outlined or both when identifying.

Clarification 3: Drawing representations must be reasonably accurate.

General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 3
Strand: Geometric Reasoning
Status: State Board Approved

Benchmark Instructional Guide

Connecting Benchmarks/Horizontal Alignment

 

Terms from the K-12 Glossary

  • Line 
  • Parallelogram
  • Rectangle 
  • Square

 

Vertical Alignment

Previous Benchmarks

 

Next Benchmarks

 

Purpose and Instructional Strategies

The purpose of this benchmark is to provide opportunities for students to apply their formalized definitions of geometric attributes when identifying and drawing quadrilaterals (MTR.5.1). With the support of vocabulary developed about geometric attributes in benchmark MA.3.GR.1.1, the goal of this benchmark is for students to identify and draw quadrilaterals based on them. In Grade 2, students started to explore and draw quadrilaterals in less formal ways. 
  • This benchmark gives students opportunities to build vocabulary around examples of quadrilaterals (e.g., parallelograms, rhombi, rectangles, squares, and trapezoids) based on the attributes that define them. Understanding quadrilaterals will help them make comparisons to non-quadrilaterals (MTR.4.1). 
  • In Grade 4, students will classify types of angles and identify them in two-dimensional figures. In Grade 5, prior learning about quadrilaterals and triangles is synthesized for students to classify these figures based on their attributes. 
  • Instruction should include highlighting measurement as an attribute to help categorize quadrilaterals.

 

Common Misconceptions or Errors

  • Students can confuse some pairs of intersecting lines as perpendicular. Encourage students to justify their thinking whenever they reason about geometric concepts. For example, students can use the corners of a standard sheet of paper as a comparison to determine whether a pair of intersecting lines is perpendicular.
  • Some students may assume all quadrilaterals must have attributes of squares, rhombi, rectangles, squares, and trapezoids. During instruction, it is important for students to determine that a figure lacking further defining attributes (such as a kite) can still be a quadrilateral.

 

Strategies to Support Tiered Instruction

  • Instruction includes real-world examples of points, lines, line segments, rays, intersecting lines, perpendicular lines, and parallel lines. The teacher provides images of real-world examples that include geometric figures. Students identify the geometric figure in the example. 
    • For example, the teacher provides an image of railroad tracks to represent parallel lines, a speed sign to represent perpendicular lines, a balance beam to represent a line segment, and other common images.
  • Instruction includes real-world examples of points, lines, line segments, rays, intersecting lines, perpendicular lines, and parallel lines. The teacher points out items in the classroom that are examples of the geometric terms listed above and has students identify which term it is an example of. 
    • For example, if the teacher points out a poster with the number one or the letter l on it, students will say it represents a line segment. If the teacher points out the window, students will say the top and bottom of the window shows parallel lines, while the corners of the window show perpendicular lines. 
    • For example, students to find their own examples within in the classroom and explain which geometric term they notice in the figure. 

rectangle

  • Teacher provides students with key vocabulary from the glossary to identify right angles to help them identify perpendicular sides in shapes. The teacher also provides a tool such as a square tile or the corner of a standard sheet of paper to help students find right angles. Students then matches quadrilaterals that contain this attribute. 
    • For example, the teacher provides a vocabulary card or vocabulary information from the glossary for a right angle, similar to the example shown below. Students then uses the tool provided to locate right angles and identifies which quadrilaterals contain that attribute when provided images of parallelograms, rhombi, rectangles, squares, and trapezoids. 

  • Teacher provides a graphic organizer to help students identify given attributes in figures. Students place the figures under the correct columns and identify quadrilaterals that do not contain any of the attributes stated. 
    • For example, the teacher provides sample figures and students draw them in or place the shape cards in the correct columns of the graphic organizer (some figures will fit in more than one column). 

sample figures

  • Teacher provides figures that can be classified as quadrilaterals and those that are not (shapes may include: triangles, squares, pentagons, hexagons, square, rectangles, parallelograms, trapezoids, and other quadrilaterals such as a kite). Students sort the figures into two groups, quadrilaterals and non-quadrilaterals and justify their reasoning by explaining how they used the number of sides each figure has to determine their placement. 
    • For example, students will add figures to the chart shown below and explain why the figure belongs in that category.

 

Instructional Tasks

Instructional Task 1 

Draw an example of a quadrilateral that does not have any defining attributes of a square (expect that it has 4 straight sides and 4 vertices). Then explain how you know.

 

Instructional Items

Instructional Item 1 

Which of the following quadrilaterals always have 2 sets of parallel sides? Select all that apply. 
  • a. Square 
  • b. Rectangle 
  • c. Rhombus 
  • d. Parallelogram 
  • e. Trapezoid 

 

*The strategies, tasks and items included in the B1G-M are examples and should not be considered comprehensive.

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.
MA.3.GR.1.AP.2: Identify quadrilaterals based on their defining attributes. Quadrilaterals include parallelograms, rhombi, rectangles, squares and trapezoids.

Related Resources

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

Formative Assessments

Sketching Quadrilaterals:

Students are asked to use shape descriptions to sketch shapes and explain why some cannot be sketched.

Type: Formative Assessment

Four Sided Figures:

Students are shown a quadrilateral and asked to identify it. Then students are asked to draw another example of a quadrilateral that is different from the one that they were shown.

Type: Formative Assessment

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.

Type: Formative Assessment

Drawing Quadrilaterals:

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

Type: Formative Assessment

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.

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

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.

Type: Lesson Plan

Design a New State Seal:

Students will use their knowledge of Florida symbols, individuals, documents, and events to create a new state seal. Students will incorporate the study of various lines and quadrilaterals into their design. They will justify what symbols they picked and how they fit into the requirements of the project in this model eliciting activity. 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.

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.

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.

Type: Lesson Plan

Quadrilateral Quest:

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

Type: Lesson Plan

Same Perimeter, Different Area:

In this lesson, students are presented with a problem that requires them to create rectangles with the same perimeter but different areas.  Students also search for relationships among the perimeters and areas of different rectangles and find which characteristics produce a rectangle with the greatest area.

Type: Lesson Plan

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.

Type: Lesson Plan

Arrays Show the Way to the Multiplication Chart:

This is an introductory lesson to explore the use of arrays to solve multiplication problems. Students build arrays and save the arrays in a class Multiplication Chart. They learn to use arrays to find products and factors, and by placing them in the Multiplication Chart, they learn how to read the chart. They learn how to write equations to represent situations that are modeled with arrays. An overall theme is the organization of the multiplication chart and how it includes arrays within.

Type: Lesson Plan

Attributes of Geometric Shapes:

This resource is a fun and engaging activity that will allow the students to identify and name shapes by their attributes. The students will move around and construct various geometric figures in order to build a solid understanding of the figures.

Type: Lesson Plan

Geometry, USA:

Students will draw a town based on a set of given directions using the geometry terms (parallel, perpendicular, and intersecting lines). This activity is designed to be taught after the students having learned the meanings of the geometry terms and the ability to identify examples of each.

Type: Lesson Plan

Original Student Tutorials

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.

Type: Original Student 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. 

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

The Nightmare of Pouring Polygons: Quadrilateral Classification:

Overcome the nightmare of quadrilateral classification based on the presence of parallel, perpendicular, and congruent sides as you complete this interactive tutorial.

Type: Original Student 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.

Type: Original Student Tutorial

Perspectives Video: Teaching Idea

Classifying Squares and Rectangles:

Unlock an effective teaching strategy for classifying squares and rectangles in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

Teaching Idea

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

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.

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.

MFAS Formative Assessments

Drawing Quadrilaterals:

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

Four Sided Figures:

Students are shown a quadrilateral and asked to identify it. Then students are asked to draw another example of a quadrilateral that is different from the one that they were shown.

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.

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.

Sketching Quadrilaterals:

Students are asked to use shape descriptions to sketch shapes and explain why some cannot be sketched.

Original Student Tutorials Mathematics - Grades K-5

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.

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.

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.

The Nightmare of Pouring Polygons: Quadrilateral Classification:

Overcome the nightmare of quadrilateral classification based on the presence of parallel, perpendicular, and congruent sides as you complete this interactive tutorial.

Student Resources

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

Original Student Tutorials

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.

Type: Original Student 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. 

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

The Nightmare of Pouring Polygons: Quadrilateral Classification:

Overcome the nightmare of quadrilateral classification based on the presence of parallel, perpendicular, and congruent sides as you complete this interactive tutorial.

Type: Original Student 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.

Type: Original Student Tutorial

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