UNIT PLAN
Grade Level:
Unit #:
Unit Name:
Time:
5
11
Geometry Polygons
15 lessons 28 days
Big Idea/Theme: Polygons can be identified, classified, and described.
Culminating Assessment:
Create a polygon scrapbook that contains the following:
Identification of congruent shapes.
Classification of polygons according to number of sides and angle size.
Identification of multiple transformations.
Identification of rotational and line symmetry.
Students will use the data collection sheet titled “Geometry Scrapbook”.
Materials: “Geometry Scrapbook” data collection sheet (attached)
“Geometry Scrapbook” rubric (attached)
Construction paper, plain paper, markers, glue, etc.
Unit Understanding(s)
Students will understand that…
Polygons can be classified and
described by the number of their
sides.
Quadrilaterals can be created,
explained, classified, and
identified, based upon their
properties.
Congruent shapes have the
exact same shape and size.
Corresponding parts can be
located in congruent shapes.
There are three types of
transformations (Translation,
reflection, and rotation).
Transformations can be
clockwise or counter-clockwise.
Shapes can have multiple
transformations, placing an
emphasis on the last
transformation.
Shapes can be turned a quarter,
half, or full turn (90,180, or 360).
Shapes can be classified as line
symmetry, rotational symmetry,
or no symmetry.
Unit Essential Question(s):
How are polygons classified?
How can we name quadrilaterals
specifically?
What characteristics identify a
congruent pair?
How can transformations be
classified?
What strategy can you use to
identify multiple
transformations?
How can you determine if a
shape has line symmetry,
rotational symmetry, or no
symmetry at all?
How are shapes classified?
How do shapes show rotational
symmetry?
How can shapes have multiple
transformations?
A shape that rotates onto itself
before turning 360 degrees has
rotational symmetry.
Students will know… / Students will be able to…
Sort polygons in a variety of ways.
Compare polygons using geometric attributes.
Describe relationships among different quadrilaterals.
Classify triangles by their geometric attributes.
Determine the sum of the angles of a triangle.
Identify angles using geometric attributes.
Measure a variety of angles.
Develop the properties of circles.
Make conjectures about the sum of the angles of polygons.
Analyze data about angles represented in a table.
Investigate area and perimeter using manipulatives.
Make and test conjectures about area and perimeter.
Examine translations, reflections and rotations.
Demonstrate transformations using a grid.
Use words like congruency and position when describing transformations.
Identify line symmetry and figures with and without line symmetry.
Identify figures with rotational symmetry.
Identify sets of shapes with and without similarity.
Name coordinates on a grid.
Locates points on a coordinate grid.
Analyze figures positioned on a coordinate grid.
Identify the properties of quadrilaterals.
Identify and compare examples and non-examples of different types of
quadrilaterals.
Use and measure angles, side lengths and perimeters of congruent
shapes.
Create a one-to-one mapping between congruent parts.
Identify congruent shapes that have the same shape and size.
Identify transformations – rotation, reflection, translation.
Identify horizontal and vertical axes.
Identify clockwise and counterclockwise movement.
Perform a series of movements involving multiple transformations.
Use and explain ½ turns.
Use and explain ¼ turns and full turns.
Identify shapes that have line symmetry.
Identify shapes that have rotational symmetry.
Identify shapes with no line of symmetry.
Explain how all regular polygons have rotational symmetry.
Show how a shape can rotate onto itself before turning 360 degrees has
rotational symmetry.
Standards Vocabulary:
Acute angle
Clockwise
Congruent
Counterclockwise
Horizontal axis
Line symmetry
Obtuse angle
Perimeter
Properties
Quadrilaterals
Reflection
Right angle
Rotation
Rotational symmetry
Transformation
Translation
Vertical axis
MOOTB Vocabulary:
Analyze
Angle
Area
Attribute
Circle
Conjecture
Diameter
Edge
Equiangular
Equilateral
Face
Geometry
Heptagon
Hexagon
Isosceles
Octagon
Net
Parallel lines
Parallelogram
Pentagon
Polygon
Radius
Ray
Rectangle
Rhombus
Scalene
Similarity
Square
Straight angle
Tessellation
Trapezoid
Triangle
Two dimensional
Verify
vertex
South Carolina Academic Standards:
5-4.1 Apply the relationships of quadrilaterals to make logical arguments about
their properties.
5-4.2 Compare the angles, side lengths, and perimeters of congruent shapes.
5-4.3 Classify shapes as congruent.
5-4.5 Predict the results of multiple transformations on a geometric shape when
combinations of translation, reflection, and rotation are used.
5-4.6 Analyze shapes to determine line symmetry and/or rotational symmetry.
5-1.1 Analyze information to solve increasingly more sophisticated problems.
5-1.2 Construct arguments that lead to conclusions about general mathematical
properties and relationships.
5-1.3 Explain and justify answers based on mathematical properties, structures,
and relationships.
5-1.5 Use correct, clear, and complete oral and written mathematical language to
pose questions, communicate ideas, and extend problem situations.
5-1.6 Generalize connections between new mathematical ideas and related
concepts and subjects that have been previously considered.
5-1.7 Use flexibility in mathematical representations.
5-1.8 Recognize the limitations of various forms of mathematical representations.
Interim Assessment (formative)
Exit Slips
Graphic Organizers
Individual and Group Activities and Work
Journals
Quizzes
Section Tests
ActiVotes
White boards
Checklists
Rubrics
Movement-Stand up if…, sit down if…, etc.
Materials
MOOTB Conjectures and Transformations Lessons 6-20
“Geometry Scrapbook” data collection sheet (attached)
“Geometry Scrapbook” rubric (attached)
GAP Lesson “Congruency”
To access this GAP lesson, go to:
*District 2 Lesson Plans for Math
*5th Grade Math
*Unit 11 Polygons
Key Criteria (to meet the standard/rubric)
*See attached rubric “Geometry Scrapbook” rubric.
You are going to design a geometry scrapbook. You will see some outstanding
samples that have been collected over the years. Students enjoy this project
because they get an opportunity to be very creative.
There are several parts to your scrapbook which are explained below. Each of the
objects requested should be found in a magazine, newspaper, or photo. This
project should force you to find geometry in the world around us.
Cover: Create a geometric design by construction, geometric collage, or computer
graphics.
Page 1: Find a triangle. Label each angle. Measure and record the length of each
of its sides and the measure of each angle. Classify your triangle.
Page 2: Find 3 different quadrilaterals. Measure and record each of its side
lengths.
Page 3: Find five different polygons. Describe them by number sizes and angle
size.
Page 4: Find two objects that are congruent and prove they are congruent by
finding the area and perimeter. Tell why it is important that these objects be
congruent.
Page 5: Find a symmetric logo. Describe (in detail) the symmetry of the logo.
Page 6: Find an example of each transformation – a reflection, a rotation, or a
translation.
Name:___________________________________________________
Net-1
-My cover is somewhat
complete.
-My cover is not complete
or neat.
-Each angle is labeled and
measured correctly.
-Each side is measured
correctly.
- Triangles are correctly
identified.
-I have angles, but some
are labeled incorrectly or
measured wrong.
- Triangles are correctly
identified.
-I have included 3
quadrilaterals, and
measured the sides of
each.
- I found the area and
perimeter of each
correctly.
-I have identified 5 types
of polygons correctly by
the number of sides and
angle size.
-I am missing one or more
quadrilaterals and/or
measurements.
- The angles are not
labeled or measured.
-The side is not measured
correctly or I have no
angles.
- Triangles are not
correctly identified.
-I am missing 2 or more
quadrilaterals, and did not
measure correctly.
-I identified 3 to 4
polygons correctly by the
number of sides and angle
size.
-I identified 0 to 2
polygons correctly by the
number of sides and angle
size.
-I identified a congruent
pair by finding the area
and perimeter and
explained why they are
important in real life.
-I identified a congruent
pair by finding the area
and perimeter, but did not
explain the importance in
real life.
-I did not identify a
congruent pair, nor did I
explain the importance of
them in real life.
-I identified a design with
line and rotational
symmetry.
-I described the logo using
math terms.
- I identified a design with
line and rotational
symmetry.
-I did not describe the
logo.
-I did not identify a design
with line and rotational
symmetry, nor did I
describe it.
-I identified all three
transformations.
-I am missing one
transformation.
-I am missing more than
one transformation.
Transformations
Types of
polygons
Quadrilaterals
Triangles
Cover
Design
-My cover is complete,
neat, and colored.
Congruent
Shapes
Polygon-2
Symmetry
Polyhedron-3