Download MAFS.4.G.1 - Draw and identify lines and angles, and classify

Standard 1 : Draw and identify lines and angles, and
classify shapes by properties of their lines and angles.
This document was generated on CPALMS - www.cpalms.org
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.
Number: MAFS.4.G.1
Title: Draw and identify lines and angles, and classify
shapes by properties of their lines and angles.
Type: Cluster
Subject: Mathematics
Grade: 4
Domain: Geometry
Related Standards
Code
MAFS.4.G.1.1
MAFS.4.G.1.2
MAFS.4.G.1.3
Description
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify
these in two-dimensional figures.
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.
Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded
along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.
Related Access Points
Access Point
Access Point Number
MAFS.4.G.1.AP.1a:
MAFS.4.G.1.AP.1b:
MAFS.4.G.1.AP.1c:
MAFS.4.G.1.AP.2a:
MAFS.4.G.1.AP.3a:
Access Point Title
Identify a point, line and line segment and rays in two-dimensional figures.
Identify perpendicular and parallel lines in a two-dimensional figure.
Identify an angle in a two-dimensional figure.
Identify and sort objects based on parallelism, perpendicularity, and angle type.
Identify figures that have a line of symmetry.
Related Resources
Lesson Plan
Name
Description
A Closer Look at Quadrilaterals
Students work together as a class and in small groups to classify quadrilaterals according to the presence or absence of
- The Parallelogram
parallel lines, and analyze the relationship between quadrilaterals.
Connection:
Students will explore the concept of line symmetry in this lesson. Students will explore two-dimensional pictures and
ABC Symmetry:
decide whether or not each image has symmetry. Students will also fold pre-cut capital letters to decide whether or not
each letter has symmetry.
"This lesson introduces students to names of angles. It provides an action activity and then a follow-up worksheet to
Angle Aerobics:
assess." (from Beacon Learning Center)
This is a lesson that introduces right, acute and obtuse angles in a fun and challenging way.
Angles All Around Us:
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. They will also have an opportunity to design their own two-dimensional
buildings in this lesson. Please note that this lesson focuses only on part of the entire benchmark.
In this lesson, students will draw a point, line, line segment, ray, angle (right,obtuse,acute), perpendicular lines and
page 1 of 5 Geometric Map Makers:
parallel lines and identify these in two-dimensional figures. After practicing with these terms, students will create a map
including a representation of each of the terms.
In this lesson which focuses primarily on angles, students work in collaborative groups to construct a three dimensional
Geometry at the County Fair: model of a county fair. It includes guided practice which serves as a review of points, lines, line segments, rays, and
perpendicular and parallel lines.
This lesson aims to teach students how to identify lines of symmetry and congruency. Students are first asked to cut a
Geometry in the World of Art: congruent shape out of a half-folded piece of paper, then to make a symmetric figure on a geoboard and then divide it
Finding Lines of Symmetry:
with a rubber band. Students are then shown various symmetrical figures and asked to find as many lines of symmetry
as they can.
Students will draw a town based on a set of given directions revolved around geometry terms (parallel, perpendicular,
and intersecting lines). This activity is designed to be taught after the students having learned the meanings of the
Geometry, USA:
geometry terms and the ability to identify examples of each.
This is lesson 1 of 3 in the Moon Phase unit. This lesson introduces students to the eight moon phases and their
Lesson#1-Moon Phase Unit : names in a counter clockwise sequential order starting from phase 1 as the New Moon. Students will also be
introduced to how a flow chart can help make decisions regarding moon phases.
This is lesson 2 of 3 in the Moon Phase unit. This lesson will help students design a flowchart model to find the phase
Lesson#2 - Moon Phase Unit: of the Moon by making decisions based on certain conditions. This lesson also gives students an insight into working
with the design model made earlier and an opportunity to upload/draw costumes of different phases in Scratch.
Paper Quilts: Analyzing
Designs :
Parallel and Perpendicular
Lines:
The geometric transformations of rotation, reflection, and translation are explored in this lesson. Students create a
design and copy it three times, then place the squares into the quadrants of their "mini-quilt" and use turns, flips and
slides to create a design that can be analyzed in terms of symmetry.
This is an interactive lesson exploring Parallel and Perpendicular lines.
From the outset students are instantly engaged by a cutting edge technology video detailing the fastest train in the
world. This transitions into a discussion about “parallel lines”, “perpendicular lines”, and “intersecting lines”. Then
through several hands­on activities (designed to captivate their attention and make “real world” connections) students
will learn to define, identify, label, and draw each. The lesson culminates with a written component where students
compare and contrast parallel and perpendicular lines, including real world examples of each. Ultimately this lesson
provides the understanding for a key component of geometry, preparing students for subsequent lessons involving
distinguishing between parallelograms and rectangles.
In this lesson, students work to identify points, lines, line segments, rays, angles and perpendicular and parallel lines.
Points, Lines, and Angles, Oh
Students create webs of yarn and analyze the web for geometric properties listed above. Students also work with
My!:
pattern blocks to gain experience.
Students will use a variety of polygons to compose a figure that will be the engine of a train called "The Polygon
Polygon Express:
Express". Students will identify angles and side in order to classify polygons used in their design.
Snowflake Geometry: No Two 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.
Alike!:
Symmetrical Solutions:
Students will use paper cutout and geoboards to find, identify and create lines of symmetry. Students will have the
opportunity to work with a partner and independently to make conjectures of which shapes will have lines of
symmetry.
The Angle Man:
The students will identify and draw acute angles, obtuse angles, and right angles. The students will know that an
acute angle is measured as less than 90 degrees, the obtuse angle is measured at greater than 90 degrees, and the
right angle is measured at 90 degrees.The students will be focused and on task for this highly engaging lesson. Hands
on activities are emphasized. The students will leave the lesson feeling good about themselves and the learning
process. The teacher will enjoy using the activities provided.
Do you know your ABC's? Well, you won't be learning them here, but you will find out which upper case letters contain
one, two, or no lines of symmetry. Your students will know that a line of symmetry is a line across a figure that the
The Secret Agent Symmetry figure can be folded along the line into matching parts. Students will be focused and engaged during the Promethean
Man!:
Planet flip chart lesson that explores mirror symmetry and more. Students will walk away from this lesson feeling
confident in their abilities to see symmetry in two dimensional figures and in objects in their world!
Which Angle is Which?:
This is a fun hands-on activity designed to help students identify and measure obtuse, acute and right angles. Students
create a manipulative tool in their math journals to help them gain understanding of this concept.
Formative Assessment
Name
All About Angles:
Description
Students are asked to identify right, acute, and obtuse angles in a two-dimensional figure, and explain the differences
among these types of angles.
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.
Identifying and Explaining
Symmetry:
Students are asked to determine if lines drawn on two-dimensional figures are lines of symmetry and to explain their
decisions.
Line Symmetry:
Students are asked to identify line-symmetric figures and then draw the lines of symmetry.
Lines, Rays, and Line
Segments:
Students are asked to draw parallel lines, perpendicular lines, a point, and a line segment. Students also explain how a
line segment is different from a ray or line.
Locating Points, Lines, and
Rays:
Students locate points, lines, line segments, and rays in a given diagram.
page 2 of 5 Parallel and Perpendicular
Sides:
Sketching Quadrilaterals:
Students are asked to identify parallel and perpendicular sides and explain how they know.
Sketching Triangles:
Students are asked to use shape descriptions to sketch shapes and explain why some cannot be sketched.
Students are asked to use shape descriptions to sketch shapes and explain why some cannot be sketched.
Squares and Lines of
Symmetry:
Students are asked to determine how many lines of symmetry a square has by drawing the lines of symmetry.
Students then consider whether all quadrilaterals have four lines of symmetry.
Using Lines of Symmetry:
Students are asked to use a line of symmetry to complete a drawing. Additionally, they consider how to describe a
line of symmetry.
Teaching Idea
Name
An Introduction To
Quadrilaterals:
Angle Hunting:
Same Shapes:
Where Are They?:
Description
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.
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.
The problem challenges and extends students' spatial awareness with 2D shapes. The students are given three
different irregular shapes. The goal is to divide each of them into two parts that are exactly the same shape and size.
The Teacher's Notes page offers rationale, suggestions for implementation with a link to Happy Halving (cataloged
separately), discussion questions, and ideas for extension and support.
Teachers can print the "printable page" for students. Students could cut out shapes and fold to find the line of
symmetry, use grid paper, and/or use geoboards.
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.
Problem-Solving Task
Name
Are these right?:
Finding an unknown angle:
Description
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 (4.MD.5) and know how to measure angles
using a protractor (4.MD.6) before working on this task.
The purpose of this task is to give 4th grade 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 (4.G.2) and
that right angles have a measure of 90° and that angle measure is additive (4.MD.7).
This is an instructional task that gives students a chance to reason about lines of symmetry and discover that a circle
Lines of symmetry for circles: has an an infinite number of lines of symmetry. Even though the concept of an infinite number of lines is fairly
abstract, fourth graders can understand infinity in an informal way.
Lines of symmetry for
quadrilaterals:
This task provides students a chance to experiment with reflections of the plane and their impact on specific types of
quadrilaterals. It is both interesting and important that these types of quadrilaterals can be distinguished by their lines
of symmetry.
Lines of symmetry for
triangles:
This activity provides students an opportunity to recognize these distinguishing features of the different types of
triangles before the technical language has been introduced. For finding the lines of symmetry, cut-out models of the
four triangles would be helpful so that the students can fold them to find the lines.
Tutorial
Name
Categorizing Geometric
Shapes: Practice Examples:
Description
This Khan Academy tutorial video presents examples and explanations for categorizations of perpendicular sides and
right, obtuse, and acute triangles.
Examples of Triangle
In this Khan Academy tutorial video triangles are categorized by angles or side lengths of a specified size.
Categories:
Intro to lines, line segments, In this video tutorial from Khan Academy, let's get familiar with the difference between lines, line segments, and rays.
and rays:
Lines, Line segments and
This video discusses about the difference between lines, line segments and rays.
Rays:
Parallel and Perpendicular Lines This Khan Academy tutorial video defines and illustrates parallel and perpendicular lines.
Introduced:
Recognizing Acute, Right, and This Khan Academy tutorial video identifies acute, right, and obtuse angles and justifies each identification.
Obtuse Angles:
Unit/Lesson Sequence
page 3 of 5 Name
Creating a Symmetrical
Design:
Description
This unit teaches students the meaning of symmetry by having them manipulate a variety of objects. Using this
knowledge, they will create a symmetrical design and write an informative paragraph about the quilt design and the
importance of symmetry.
This file contains the fourth grade geometry curriculum for the 2016 FCR-STEMLearn Summer Institute Follow-Up. It
utilizes materials from MyStemKits.com.
Fourth Grade Geometry
Follow-Up Curriculum:
Symmetry in Your World:
"This unit focuses on symmetrical shapes and objects in the real world. After students complete this unit, they will be
able to apply their knowledge of symmetry to real world objects. Students will learn how to identify the lines of
symmetry as well as complete the missing halves of symmetrical figures." (from National Security Agency Central
Security Service)
Virtual Manipulative
Name
Geoboard:
Description
This extremely versatile manipulative can be used by learners of different grades. At early grades, this manipulative
will help the students recognize, name, build, draw, and compare two-dimensional shapes. As they progress students
can classify and understand relationships among types of two-dimensional objects using their defining properties. The
application computes perimeter and area allowing students to explore patterns as dimensions change.
Shape Tool:
This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes,
such as: squares, triangles, rhombi, trapezoids and hexagons.
Triangle Classification Game:
This online game challenges students to manipulate vertices to draw specific triangles in a discrete environment. An
additional investigation is presented after the initial set of challenges.
Assessment
Name
Description
Sample 1 - Fourth Grade Math This is a State
State Interim Assessment:
Sample 2 - Fourth Grade Math This is a State
State Interim Assessment:
Sample 3 - Fourth Grade Math This is a State
State Interim Assessment:
Sample 4 - Fourth Grade Math This is a State
State Interim Assessment:
Interim Assessment for fourth grade.
Interim Assessment for fourth grade.
Interim Assessment for fourth grade.
Interim Assessment for fourth grade.
Original Tutorial
Name
Description
The Geometry Super Heroes Join Parallel Man and Perpendicular Man as they help Mayor Mathematics save Mathopolis by identifying parallel lines
and line segments, as well as perpendicular lines and line segments in two-dimensional figures.
Save Mathopolis:
The Symmetry Sisters Save
the Day:
Help the Symmetry Sisters save the City of Symmetry Line and the State of Arithmetic from the Radical Rat!
These are the Right Triangles: Identify right triangles and explain the properties shared by all right triangles.
Student Resources
Title
Are these right?:
Description
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 (4.MD.5) and know how to measure angles
using a protractor (4.MD.6) before working on this task.
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.
Examples of Triangle
Categories:
In this Khan Academy tutorial video triangles are categorized by angles or side lengths of a specified size.
Finding an unknown angle:
The purpose of this task is to give 4th grade 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 (4.G.2) and
that right angles have a measure of 90° and that angle measure is additive (4.MD.7).
Geoboard:
This extremely versatile manipulative can be used by learners of different grades. At early grades, this manipulative
will help the students recognize, name, build, draw, and compare two-dimensional shapes. As they progress students
can classify and understand relationships among types of two-dimensional objects using their defining properties. The
application computes perimeter and area allowing students to explore patterns as dimensions change.
Intro to lines, line segments,
and rays:
In this video tutorial from Khan Academy, let's get familiar with the difference between lines, line segments, and rays.
This is an instructional task that gives students a chance to reason about lines of symmetry and discover that a circle
page 4 of 5 Lines of symmetry for circles: has an an infinite number of lines of symmetry. Even though the concept of an infinite number of lines is fairly
abstract, fourth graders can understand infinity in an informal way.
Lines of symmetry for
quadrilaterals:
This task provides students a chance to experiment with reflections of the plane and their impact on specific types of
quadrilaterals. It is both interesting and important that these types of quadrilaterals can be distinguished by their lines
of symmetry.
Lines of symmetry for
triangles:
This activity provides students an opportunity to recognize these distinguishing features of the different types of
triangles before the technical language has been introduced. For finding the lines of symmetry, cut-out models of the
four triangles would be helpful so that the students can fold them to find the lines.
Lines, Line segments and
This video discusses about the difference between lines, line segments and rays.
Rays:
Parallel and Perpendicular Lines This Khan Academy tutorial video defines and illustrates parallel and perpendicular lines.
Introduced:
Recognizing Acute, Right, and This Khan Academy tutorial video identifies acute, right, and obtuse angles and justifies each identification.
Obtuse Angles:
This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes,
Shape Tool:
such as: squares, triangles, rhombi, trapezoids and hexagons.
The Geometry Super Heroes Join Parallel Man and Perpendicular Man as they help Mayor Mathematics save Mathopolis by identifying parallel lines
and line segments, as well as perpendicular lines and line segments in two-dimensional figures.
Save Mathopolis:
The Symmetry Sisters Save
the Day:
Help the Symmetry Sisters save the City of Symmetry Line and the State of Arithmetic from the Radical Rat!
These are the Right Triangles: Identify right triangles and explain the properties shared by all right triangles.
Triangle Classification Game:
This online game challenges students to manipulate vertices to draw specific triangles in a discrete environment. An
additional investigation is presented after the initial set of challenges.
Parent Resources
Title
Are these right?:
Description
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 (4.MD.5) and know how to measure angles
using a protractor (4.MD.6) before working on this task.
Finding an unknown angle:
The purpose of this task is to give 4th grade 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 (4.G.2) and
that right angles have a measure of 90° and that angle measure is additive (4.MD.7).
Geoboard:
This extremely versatile manipulative can be used by learners of different grades. At early grades, this manipulative
will help the students recognize, name, build, draw, and compare two-dimensional shapes. As they progress students
can classify and understand relationships among types of two-dimensional objects using their defining properties. The
application computes perimeter and area allowing students to explore patterns as dimensions change.
Intro to lines, line segments,
and rays:
In this video tutorial from Khan Academy, let's get familiar with the difference between lines, line segments, and rays.
This is an instructional task that gives students a chance to reason about lines of symmetry and discover that a circle
Lines of symmetry for circles: has an an infinite number of lines of symmetry. Even though the concept of an infinite number of lines is fairly
abstract, fourth graders can understand infinity in an informal way.
Lines of symmetry for
quadrilaterals:
This task provides students a chance to experiment with reflections of the plane and their impact on specific types of
quadrilaterals. It is both interesting and important that these types of quadrilaterals can be distinguished by their lines
of symmetry.
Lines of symmetry for
triangles:
This activity provides students an opportunity to recognize these distinguishing features of the different types of
triangles before the technical language has been introduced. For finding the lines of symmetry, cut-out models of the
four triangles would be helpful so that the students can fold them to find the lines.
Shape Tool:
This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes,
such as: squares, triangles, rhombi, trapezoids and hexagons.
page 5 of 5