Standard 1: Draw, classify and measure angles.

General Information
Number: MA.4.GR.1
Title: Draw, classify and measure angles.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 4
Strand: Geometric Reasoning

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Access Points

MA.4.GR.1.AP.1
Informally explore angles as an attribute of two-dimensional figures. Limit angles to acute, obtuse and right.
MA.4.GR.1.AP.2
Using a tool with a square angle, identify angles as acute, right or obtuse and construct angles that are acute, right or obtuse.
MA.4.GR.1.AP.3
Recognize that angle measure is additive by exploring when an angle is decomposed into two non-overlapping parts the angle measure of the whole is the sum of the angle measures of the parts.

Related Resources

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

Formative Assessments

Understanding Angles:

Students are asked to recognize the additive nature of angles to determine an unknown angle measure.

Type: Formative Assessment

Drawing and Measuring Angles:

Students are asked to draw and measure acute and obtuse angles whose vertices are at the center of a circle.

Type: Formative Assessment

All About Angles:

Students are asked to identify right, acute, and obtuse angles in a two-dimensional figure, and explain the differences among these types of angles.

Type: Formative Assessment

Using Known Angles:

Students are asked to determine adjacent angle measurements using the additive structure of angle measurement and known angle measurements.

Type: Formative Assessment

Using a Protractor to Draw Angles:

Students use a protractor to draw angles with a specified measure.

Type: Formative Assessment

Turns on a Skateboard:

Students are asked to determine an unknown angle measure that is one component of a larger known angle when given the other component.

Type: Formative Assessment

Measuring Angles With a Protractor:

Students are asked to use a protractor to determine the measure of four angles.

Type: Formative Assessment

What Is the Measure of the Angle?:

Students are asked to determine an unknown angle measure that is one component of a larger known angle when given the other components.

Type: Formative Assessment

Town of Happyville:

Students are asked to draw specified angles within a circle in the context of a real world problem.

Type: Formative Assessment

This Angle:

Students are given two angles with the same angle measure but with sides of different lengths and asked to explain which component of an angle determines its measure.

Type: Formative Assessment

Lawn Sprinkler:

Students are asked determine angle measures based on how many one-degree turns are made.

Type: Formative Assessment

Determining An Angle’s Measure:

Students are asked to analyze two angles and explain how their measures are determined.

Type: Formative Assessment

Circle the Angles:

Students are asked to circle figures that show angles from a set of figures and then describe the defining attributes of angles.

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

Angles All Around Us:

This lesson will provide students with the opportunity to see angles all around them. Students will be able to see how and where geometry exist in the real world.  Please note that this lesson focuses on identifying acute, obtuse, right, straight and reflex angles.

Type: Lesson Plan

Geometry at the County Fair:

In this lesson which focuses primarily on angles, students work in collaborative groups to construct a two-dimensional model of a county fair. 

Type: Lesson Plan

Waterpark Angles:

Your students have been hired as a team to build an amazing new slide for the brand new Water World theme park! Their teams will work to build multiple water slides and will decide which angle degree best helps the marble shoot farthest. Throughout the lesson they will be working with identifying and measuring angles while relating angle types and their measurements. Students will also be working with the idea of kinetic and potential energy.

Type: Lesson Plan

Snowflake Geometry: No Two Alike!:

In this lesson students will make snowflakes, promoting creativity and self-expression, and use them to identify geometric terms. It also gives them an opportunity to follow a sequenced set of instructions for a given outcome.

Type: Lesson Plan

Angles All Around Us:

This is a lesson that introduces right, acute, obtuse, reflex, straight angles in a fun and challenging way.

Type: Lesson Plan

Edible Angles: Decomposing Angles Into Parts of a Whole:

This lesson is designed to review help students apply their understanding that when an angle is decomposed into parts, the measure of the parts is equal to the whole measure of the original angle. 

Type: Lesson Plan

Which Angle is Which?:

This is a fun, hands-on activity designed to help students identify and measure obtuse, acute, right, straight and reflex angles. Students create a manipulative tool in their math journals to help them gain understanding of this concept.

Type: Lesson Plan

What's Your Angle? Measuring and Drawing Angles With Protractors:

In this lesson, students will be able to measure various angle sizes using a protractor. Students will also learn how to use a protractor to draw angles when given a specific degree of measure. Students will also know how to compare and contrast angles of different sizes using math terminology.

Type: Lesson Plan

Points, Lines, and Angles, Oh My!:

In this lesson, students work to identify points, lines, line segments, rays, angles and perpendicular and parallel lines. Students create webs of yarn and analyze the web for geometric properties listed above. A teacher can select which vocabulary terms are appropriate for the class.

Type: Lesson Plan

Protractor Power: How to measure and create angles using a protractor:

Students will learn how to use a protractor to measure and create angles of different sizes. Students will work cooperatively to explore this skill.

Type: Lesson Plan

Angle Your Way Around:

In this lesson students will be introduced to the protractor and benchmark angles, practice reading angles properly, make estimates on angle degrees, measure angles precisely, and participate in a small group activity using their new skills.

Type: Lesson Plan

Angles for $500:

This lesson engages students in measuring angles using a protractor.

Type: Lesson Plan

Runway Rotations:

Students will use small paper airplanes to model rotations required to turn onto a runway. Students will rotate planes 45, 90, 180, 270, and 360 degrees. Students will identify and describe the results of rotations using benchmark angles.

Type: Lesson Plan

What’s Your Angle?:

In this lesson, students will use addition or subtraction to find the measure of two adjacent angles and determine the measure of an unknown angle.

Type: Lesson Plan

Original Student Tutorials

Additive Angles: Wondrous Windows:

Decompose and compose various angles while exploring clocks and windows in this interactive tutorial.

Note: this tutorial exceeds clarification limits and is meant as enrichment for students to improve their problem-solving skills.

Type: Original Student Tutorial

Additive Angles: Tessellating Tiles:

Are you up for a challenge? You will use tile designs to explore how angles can be decomposed into smaller angles and how those parts can be shown as addends in equations in this interactive tutorial.

Note: this tutorial exceeds clarification limits and is meant as enrichment for students who met the standards to increase problem-solving skills.

Type: Original Student Tutorial

Map the ROC: Angle Measure:

Learn how to measure angles with a protractor to help get a robot through an obstacle course in this interactive tutorial.

Type: Original Student Tutorial

ROC Star: Angle Classification:

Classify and name angles in two-dimensional shapes to help a robot create a path using angles in this interactive tutorial.

Type: Original Student Tutorial

Dash or Bash: Discovering Angles:

Discover what an angle is by helping to program a robot through an obstacle course in this interactive tutorial.

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

Perspectives Video: Expert

B.E.S.T. Journey:

What roles do exploration, procedural reliability, automaticity, and procedural fluency play in a student's journey through the B.E.S.T. benchmarks? Dr. Lawrence Gray explains the path through the B.E.S.T. maththematics benchmarks in this Expert Perspectives video.

Type: Perspectives Video: Expert

Perspectives Video: Teaching Ideas

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

Discovering Math Vocabulary in Context:

Unlock an effective teaching strategy for vocabulary instruction in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

Finding Angles on Clocks:

Unlock an effective teaching strategy for identifying angles in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

Estimating Angles:

Unlock an effective teaching strategy for teaching students to estimate angle measurements in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

Double Bubble Diagram to Compare Math Concepts:

Unlock an effective teaching strategy for helping students make connections in mathematics using the Double Bubble Diagram in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

Problem-Solving Task

Finding an unknown angle:

The purpose of this task is to give students a problem involving an unknown quantity that has a clear visual representation. Students must understand that the four interior angles of a rectangle are all right angles and that right angles have a measure of 90° and that angle measure is additive.

Type: Problem-Solving Task

Tutorials

Solving for a Part of a Decomposed Angle:

This Khan Academy tutorial video presents the strategy for finding the measure of one of two adjacent angles, when the sum of both and measure of one are known.

Type: Tutorial

Recognizing Acute, Right, and Obtuse Angles:

This Khan Academy tutorial video identifies acute, right, and obtuse angles and justifies each identification. 

Type: Tutorial

Angle Measurements and Circle Arcs:

This Khan Academy tutorial video demonstrates the relationship between the measurement of an angle and the arc of a circle.

Type: Tutorial

Angle Basics:

This Khan Academy tutorial video presents how an angle is formed and labeled.

Type: Tutorial

Student Resources

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

Original Student Tutorials

Additive Angles: Wondrous Windows:

Decompose and compose various angles while exploring clocks and windows in this interactive tutorial.

Note: this tutorial exceeds clarification limits and is meant as enrichment for students to improve their problem-solving skills.

Type: Original Student Tutorial

Additive Angles: Tessellating Tiles:

Are you up for a challenge? You will use tile designs to explore how angles can be decomposed into smaller angles and how those parts can be shown as addends in equations in this interactive tutorial.

Note: this tutorial exceeds clarification limits and is meant as enrichment for students who met the standards to increase problem-solving skills.

Type: Original Student Tutorial

Map the ROC: Angle Measure:

Learn how to measure angles with a protractor to help get a robot through an obstacle course in this interactive tutorial.

Type: Original Student Tutorial

ROC Star: Angle Classification:

Classify and name angles in two-dimensional shapes to help a robot create a path using angles in this interactive tutorial.

Type: Original Student Tutorial

Dash or Bash: Discovering Angles:

Discover what an angle is by helping to program a robot through an obstacle course in this interactive tutorial.

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

Finding an unknown angle:

The purpose of this task is to give students a problem involving an unknown quantity that has a clear visual representation. Students must understand that the four interior angles of a rectangle are all right angles and that right angles have a measure of 90° and that angle measure is additive.

Type: Problem-Solving Task

Tutorials

Solving for a Part of a Decomposed Angle:

This Khan Academy tutorial video presents the strategy for finding the measure of one of two adjacent angles, when the sum of both and measure of one are known.

Type: Tutorial

Recognizing Acute, Right, and Obtuse Angles:

This Khan Academy tutorial video identifies acute, right, and obtuse angles and justifies each identification. 

Type: Tutorial

Angle Measurements and Circle Arcs:

This Khan Academy tutorial video demonstrates the relationship between the measurement of an angle and the arc of a circle.

Type: Tutorial

Angle Basics:

This Khan Academy tutorial video presents how an angle is formed and labeled.

Type: Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.

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

Finding an unknown angle:

The purpose of this task is to give students a problem involving an unknown quantity that has a clear visual representation. Students must understand that the four interior angles of a rectangle are all right angles and that right angles have a measure of 90° and that angle measure is additive.

Type: Problem-Solving Task