MAFS.4.G.1.2Archived Standard

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Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
General Information
Subject Area: Mathematics
Grade: 4
Domain-Subdomain: Geometry
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Draw and identify lines and angles, and classify shapes by properties of their lines and angles. (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
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications

  • Assessment Limits :
    Triangles: equilateral, equiangular, isosceles, scalene, acute, right, obtuse. Quadrilaterals: parallelograms, rectangles, squares, rhombi, trapezoids. Other polygons may be included where appropriate. 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 3
  • Question:

    Fill in the circles to select all the properties that always belong to each shape.

  • Difficulty: N/A
  • Type: MI: Matching Item

Related Courses

This benchmark is part of these courses.
5012060: Mathematics - Grade Four (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712050: Access Mathematics Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5020110: STEM Lab Grade 4 (Specifically in versions: 2016 - 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.

Formative Assessments

Grouping Triangles:

Students are shown three triangles that fit a rule (each has a right angle) and are asked to determine which of three other triangles also fit the rule.

Type: Formative Assessment

Sketching Triangles:

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

Type: Formative Assessment

Sketching Quadrilaterals:

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

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

Lesson #1 - Moon Phase Unit :

This is lesson 1 of 3 in the Moon Phase Unit. This lesson introduces students to the eight Moon phases and their names in a counter-clockwise sequential order starting with the New Moon as phase 1. Students will also be introduced to how a flowchart can help make decisions, in this case whether or not the Moon is full.

Type: Lesson Plan

A Closer Look at Quadrilaterals - The Parallelogram Connection:

Students work together as a class and in small groups to classify quadrilaterals.

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

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

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. Learn about parallelogram, rectangles, rhombi and squares and how they are related.

Type: Original Student Tutorial

These are the Right Triangles:

Identify right triangles and explain the properties shared by all right triangles in this interactive tutorial.

Type: Original Student Tutorial

Problem-Solving Task

Are these right?:

The purpose of this task is for students to measure angles and decide whether the triangles are right or not. Students should already understand concepts of angle measurement  and know how to measure angles using a protractor before working on this task.

Type: Problem-Solving Task

Teaching Ideas

Where Are They?:

This activity asks students to visualize and generate shapes, paying close attention to the definitions of the polygons. Learners are given a sheet of isometric grid paper and asked to find and sketch 12 specific shapes. A recording sheet is attached where students must justify the shape they generated by using the definitions of the polygons. Ideas for implementation, extension, and support are included along with printable grids and a link to a website with shape definitions. It would be beneficial for students to work with partners in order to construct viable arguments and critique the reasoning of others.

Type: 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

Tutorials

Categorizing Geometric Shapes: Practice Examples:

This Khan Academy tutorial video presents examples and explanations for categorizations of perpendicular sides and right, obtuse, and acute triangles.

Type: Tutorial

Examples of Triangle Categories:

In this Khan Academy tutorial video triangles are categorized by angles or side lengths of a specified size.

Type: Tutorial

MFAS Formative Assessments

Grouping Triangles:

Students are shown three triangles that fit a rule (each has a right angle) and are asked to determine which of three other triangles also fit the rule.

Sketching Quadrilaterals:

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

Sketching Triangles:

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

Original Student Tutorials Mathematics - Grades K-5

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. Learn about parallelogram, rectangles, rhombi and squares and how they are related.

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.

These are the Right Triangles:

Identify right triangles and explain the properties shared by all right triangles in this interactive tutorial.

Student Resources

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

Original Student Tutorials

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

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. Learn about parallelogram, rectangles, rhombi and squares and how they are related.

Type: Original Student Tutorial

These are the Right Triangles:

Identify right triangles and explain the properties shared by all right triangles in this interactive tutorial.

Type: Original Student Tutorial

Problem-Solving Task

Are these right?:

The purpose of this task is for students to measure angles and decide whether the triangles are right or not. Students should already understand concepts of angle measurement  and know how to measure angles using a protractor before working on this task.

Type: Problem-Solving Task

Tutorials

Categorizing Geometric Shapes: Practice Examples:

This Khan Academy tutorial video presents examples and explanations for categorizations of perpendicular sides and right, obtuse, and acute triangles.

Type: Tutorial

Examples of Triangle Categories:

In this Khan Academy tutorial video triangles are categorized by angles or side lengths of a specified size.

Type: 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

Problem-Solving Task

Are these right?:

The purpose of this task is for students to measure angles and decide whether the triangles are right or not. Students should already understand concepts of angle measurement  and know how to measure angles using a protractor before working on this task.

Type: Problem-Solving Task