Standard 1 : Draw, classify and measure angles.



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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
Code Description
MA.4.GR.1.1: Informally explore angles as an attribute of two-dimensional figures. Identify and classify angles as acute, right, obtuse, straight or reflex.
Clarifications:
Clarification 1: Instruction includes classifying angles using benchmark angles of 90° and 180° in two-dimensional figures.

Clarification 2: When identifying angles, the expectation includes two-dimensional figures and real-world pictures.

MA.4.GR.1.2: Estimate angle measures. Using a protractor, measure angles in whole-number degrees and draw angles of specified measure in whole-number degrees. Demonstrate that angle measure is additive.
Clarifications:

Clarification 1: Instruction includes measuring given angles and drawing angles using protractors.
Clarification 2: Instruction includes estimating angle measures using benchmark angles (30°, 45°, 60°, 90° and 180°).
Clarification 3: Instruction focuses on the understanding that angles can be decomposed into non-overlapping angles whose measures sum to the measure of the original angle.

MA.4.GR.1.3: Solve real-world and mathematical problems involving unknown whole-number angle measures. Write an equation to represent the unknown.
Clarifications:
Clarification 1: Instruction includes the connection to angle measure as being additive.


Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
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.

Original Student Tutorials

Name Description
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.

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.

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.

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.

Dash or Bash: Discovering Angles:

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

These are the Right Triangles:

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

Formative Assessments

Name Description
Understanding Angles:

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

Drawing and Measuring Angles:

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

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.

Using Known Angles:

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

Using a Protractor to Draw Angles:

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

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.

Measuring Angles With a Protractor:

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

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.

Town of Happyville:

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

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.

Lawn Sprinkler:

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

Determining An Angle’s Measure:

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

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.

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
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.

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. 

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.

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.

Angles All Around Us:

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

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. 

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.

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.

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.

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.

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.

Angles for $500:

This lesson engages students in measuring angles using a protractor.

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.

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.

Perspectives Video: Expert

Name Description
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.

Perspectives Video: Teaching Ideas

Name Description
Classifying Squares and Rectangles:

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

Discovering Math Vocabulary in Context:

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

Finding Angles on Clocks:

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

Estimating Angles:

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

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.

Problem-Solving Task

Name Description
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.

Tutorials

Name Description
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.

Recognizing Acute, Right, and Obtuse Angles:

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

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.

Angle Basics:

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



Student Resources

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

Original Student Tutorials

Title Description
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.

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.

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.

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.

Dash or Bash: Discovering Angles:

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

These are the Right Triangles:

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

Problem-Solving Task

Title Description
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.

Tutorials

Title Description
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.

Recognizing Acute, Right, and Obtuse Angles:

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

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.

Angle Basics:

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



Parent Resources

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

Image/Photograph

Title Description
Clipart: Geometric Shapes:

In this lesson, you will find clip art and various illustrations of polygons, circles, ellipses, star polygons, and inscribed shapes.

Problem-Solving Task

Title Description
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.