# Cluster 3: Geometric measurement: understand concepts of angle and measure angles. (Additional Cluster)Archived

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.

General Information
Number: MAFS.4.MD.3
Title: Geometric measurement: understand concepts of angle and measure angles. (Additional Cluster)
Type: Cluster
Subject: Mathematics - Archived
Domain-Subdomain: Measurement and Data

## Related Standards

This cluster includes the following benchmarks.

## Related Access Points

This cluster includes the following access points.

## Access Points

MAFS.4.MD.3.AP.6a
Sketch angles of specific measures.
MAFS.4.MD.3.AP.6b
Identify types of angles.
MAFS.4.MD.3.AP.5a
Identify an angle in a two-dimensional figure.
MAFS.4.MD.3.AP.7a
Find sums of angles that show a ray (adjacent angles).

## 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

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

Angles (Clipart ETC):

This large collection of clipart contains images of angles that can be freely used in lesson plans, worksheets, and presentations.

Type: Image/Photograph

## Lesson Plans

Coding Geometry Challenge # 12 & 13:

This set of geometry challenges focuses on creating circles and calculating area/circumference 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

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

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

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

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

## Model Eliciting Activity (MEA) STEM Lesson

Drawing and Measuring Angles:

This is a S.T.E.M. Design Challenge to introduce students to measuring and drawing angles. Students will use a protractor to measure angles in whole number degrees. They will use their understanding of measuring angles to design an animal enclosure for Lowery Park Zoo for one of Florida’s endangered animals, the Florida Panther or the Florida Key Deer. Students will communicate the angle measurements of their enclosures along with what will be included for the animal’s natural habitat through a written proposal.

Type: Model Eliciting Activity (MEA) STEM Lesson

## Original Student Tutorials

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

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

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

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.

## Teaching Idea

Angle Hunting:

In this activity, learners use a hand-made protractor to measure angles they find in playground equipment. Learners will observe that angle measurements do not change with distance, because they are distance invariant, or constant. Note: The "Pocket Protractor" activity should be done ahead as a separate activity (see related resource), but a standard protractor can be used as a substitute.

Type: Teaching Idea

## Tutorials

Angles and arcs:

in this tutorial, students will learn about central angles and arcs of a circle.

Type: Tutorial

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

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

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

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

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

Angles and arcs:

in this tutorial, students will learn about central angles and arcs of a circle.

Type: Tutorial

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.