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Hempfield School District Curriculum: Unit Template
Course Title: Geometry - 3273
Unit Title: Quadrilaterals
Names of Teachers who Developed Unit: Hundley and Cunfer and Gwyn
Dates Developed: July-Ocotbert 2010
Approximate Dates when Taught During School Year: October- November
Approximate Number of Periods: 9
Summary: Students will apply triangle relationships, algebraic techniques, and methods of proof
to the study of quadrilaterals. A study of parallelograms leads to an analysis of special
parallelograms(rhombus, kite, rectangle, square, and trapezoids.) Coordinate proof is used to
prove some of these figures.
Print Materials Needed: Prentice Hall Mathematics Textbook, note-sheets for each section.
Resources:
Internet Resource Links: Geometer’s Sketchpad
Essential Questions (Include PA Standards, Anchors & Eligible Content)
Big Ideas:
 Numbers, measures, expressions, equations, and inequalities can represent
mathematical situations and structures in many equivalent forms.
 Some geometric relationships can be described and explored as functional
relationships
 There are some mathematical relationships that are always true and these
relationships are used as the rules of arithmetic and algebra and are useful for
writing equivalent forms of expressions and solving equations and inequalities.
 Mathematical statements can be justified through deductive and inductive
reasoning and proof.
 Congruence describes a special similarity relationship between objects and is a
form of equivalence.
 Relations and functions are mathematical relationships that can be represented
and analyzed using words and equations.
 Objects can be transformed in a number of ways. Transformations can be
described and analyzed mathematically.
Essential Questions:
 How do you know that a figure is a specific special quadrilateral?
 How do you classify quadrilaterals?
 How can you use Coordinate Geometry to prove a special quadrilateral?
 What are the applications of the distance, midpoint and slope formulas in
relationship to coordinate Geometry?
 How can you use the properties of the special quadrilaterals to solve for side
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Hempfield School District Curriculum: Unit Template
lengths and angle measures?
Assessment Anchors:
Eligible Content:
Know
Vocabulary:
parallelogram,
rhombus, rectangle,
square, kite, trapezoid,
isosceles trapezoid,
consecutive angles,
consecutive sides,
properties of
parallelograms,
rhombus, kite,
trapezoid, rectangle,
square, isosceles
triangle , base angles,
midsegment of a
trapezoid,
Understand
Do
Students will understand: The students will be able to:
 Define and classify special
types of quadrilaterals
 Use relationships among
sides and among angles of
parallelograms
 Use relationships involving
diagonals or transversals
 Determine whether a
quadrilateral is a
parallelogram
 Use properties of diagonals
of rhombuses and rectangles
 Determine whether a
parallelogram is a rhombus
or rectangle
 Verify and use properties of
trapezoids and kites
 Name special figures using
coordinate Geoemtry

Stage 2: Assessment Evidence
Assessments/Performance Tasks
Rubric Titles
Benchmark(s) for Course: Unit’s key Assessments
Self-Assessments
Other Evidence, Summarized
Stage 3: Learning Activities
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Hempfield School District Curriculum: Unit Template
Differentiation:
Readiness

.
Profile: Learning Styles /
Multiple Intelligences

Interest

Accommodations for ELLs:

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