Download Grade 5 Unit Picturing Polygons

LISBON SCHOOL DEPARTMENT
UNIT DESIGN OUTLINE
Unit Title:
Picturing Polygons
Unit Designers:
DJ Thorne, Jamey Martin, Marcia Jolicoeur, Candace Barrett
Level(s):
5th grade
Content Area:
Career Prep
English Language Arts
Time Span:
Health/PE
Mathematics
8 weeks
M&C Languages
Science & Tech
Social Studies
Visual & Perf. Arts
Summary of Unit:
Students will work with solid figures, learning their features such as edges, vertices, and faces.
Classifying the objects support students’ understanding of how the shapes are similar and different. An
understanding of how to describe position and direction in two dimensions is completed in two ways.
First, working on a Cartesian plane by locating points to determine distance both horizontally and
vertically and secondly by measuring angles in degrees. Students continue to work with two dimensional
objects by identifying and creating figures with rotational or line symmetry. Additionally, they show
symmetry and create patterns by sliding, rotating, or reflecting the figures.
Content Standards/Performance Indicators:
MATHEMATICS
Geometry
C.1. Students identify, describe, and classify solid figures.
a. Identify edges, vertices, and faces in three-dimensional figures.
b. Describe and classify solid figures according to the number of edges, faces, and vertices as well as the
shapes of faces.
C.4. Students understand how to describe position and direction in two dimensions.
a. Locate points on the Cartesian plane.
b. Determine horizontal and vertical distance on the coordinate plane.
c. Measure angles in degrees.
C.5. Students reflect, slide, and rotate plane figures.
a. Identify figures with rotational or line symmetry.
b. Create figures with rotational or line symmetry.
c. Slide, rotate, or reflect figures to create patterns or demonstrate congruence.
ELA
Reading
A.1. Students read and draw conclusions from texts, within a grade appropriate span of text
complexity, by applying their knowledge and strategies of comprehension, vocabulary, alphabetics,
and fluency.
b. Demonstrate ownership of appropriate vocabulary by effectively using a word in different contexts and
for different purposes.
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COMMON CORE: Geometry - 5.G
Graph points on the coordinate plane to solve real-world and mathematical problems.
1. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the
intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the
plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number
indicates how far to travel from the origin in the direction of one axis, and the second number indicates
how far to travel in the direction of the second axis, with the convention that the names of the two axes
and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
2. Represent real world and mathematical problems by graphing points in the first quadrant of the
coordinate plane, and interpret coordinate values of points in the context of the situation.
Classify two-dimensional figures into categories based on their properties.
3. Understand that attributes belonging to a category of two-dimensional figures also belong to all
subcategories of that category. For example, all rectangles have four right angles and squares are
rectangles, so all squares have four right angles.
4. Classify two-dimensional figures in a hierarchy based on properties.
Key Pre-Requisites:
Knowledge:
Shapes can have lines of symmetry.
If shapes are congruent they are the same.
Shapes have attributes.
Some shapes can be classified as quadrilaterals and triangles.
Skills:
Identify the line of symmetry.
Recognize congruent figures.
Identify parallel lines, perpendicular lines, and sides.
Identify and sketch quadrilaterals and triangles.
Enduring Understandings:
Ordered pairs can be used to find location on a Cartesian plane.
Classifying aids in understanding of similarities and differences.
Knowing degrees of angles gives you the ability to describe location and position.
Essential Questions:
How can the representation of points on a Cartesian plane be applied in the real world?
Key Knowledge and Skills students will acquire as a result of this unit:
Knowledge:
Vocabulary: vertices, solid figures, 3-D, base, Cartesian plane, coordinates
Solid shapes are three dimensional, with edges, vertices and faces.
3-D shapes have names such as: prism, pyramid, cylinder, and sphere.
Patterns can be created by sliding, rotating and reflecting figures with lines of symmetry.
Skills:
Identify edges, vertices and faces of three dimensional objects.
Classify 3-D shapes into prism, pyramid, cylinder, and sphere.
Create patterns and show congruency by sliding, rotating, and reflecting figures.
Use a protractor to measure and draw angles.
Locate, plot, and label coordinates on a Cartesian plane.
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How will students provide evidence of their understandings?
Determine an understanding of pre-requisites through a pre-assessment.
Through assessment and feedback from the activities listed below.
Summative End-of-unit assessment.
Teaching and Learning experiences used to help students understand:
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Differentiated instruction will be provided based on formative assessments.
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Hook: Play Battleship.
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Introduce essential questions and key vocabulary.
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Introduce enduring understandings.
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Review attributes of quadrilaterals and triangles: lines of symmetry, congruent shapes, parallel
and perpendicular lines, number of sides.
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Introduce quadrants of a Cartesian plane.
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Introduce the X and Y axes of a Cartesian plane.
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Introduce and practice locating, plotting, and labeling coordinates on a Cartesian plane.
Assess and give feedback and provide opportunity for additional learning.
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Create polygons with lines of symmetry on a Cartesian plane.
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Introduce and practice sliding, reflecting, and rotating polygons over the X or Y axis on a
Cartesian plane.
Assess and give feedback and provide opportunity for additional learning.
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Introduce the classification of solid figures.
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Use protractors to measure and draw angles.
Assess and give feedback and provide opportunity for additional learning.
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Introduce and practice rotational symmetry.
Assess and give feedback and provide opportunity for additional learning.
Provisions for Extending Learning:
Classify other 3D solid figures; tetrahedron
Draw polygons with multiple lines of symmetry on a Cartesian plane.
Create a design with a variety of polygons that include slides, reflections, and rotations.
How will technology be used to increase student achievement?
Use computer to slide, reflect, and rotate basic shapes.
Instructional Resources:
Picturing Polygons, Investigation Unit
Math-drills.com
3D shapes
Geoboards
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VOCABULARY FOR THIS UNIT:
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Polygon: triangle, quadrilateral,
pentagon, hexagon, septagon/heptagon,
octagon, nonagon, decagon,
hendecagon, dodecagon,
vertex/vertices
angle: acute, obtuse, right
degrees
edges
faces
rotational symmetry
line symmetry
Cartesian Plane (coordinate grid)
x-axis
y-axis
quadrants
horizontal
vertical
slide
reflect (flip)
rotate
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two-dimensional
three-dimensional
congruent
attributes/characteristics
parallel
perpendicular
regular/non-regular polygon
triangles: equilateral, isosceles, scalene,
right triangle, acute triangle, obtuse
triangle
quadrilaterals: rectangle, square,
parallelograms, trapezoid, rhombus
ordered pairs/coordinates
solid figure
prism
cylinder
sphere
pyramid
protractor
Attach a copy of the unit assessment tool, including criteria for evaluation of student
performance/product.
Prisms, Pyramids, and Polygons
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