Download Unit 4 congruent triangles

Hempfield School District Curriculum: Unit Template
Course Title: Geometry - 3273
Unit Title: Congruent Triangles
Names of Teachers who Developed Unit: Hundley and Cunfer and Gwyn
Dates Developed: July-August 2010
Approximate Dates when Taught During School Year: August –September
Approximate Number of Periods: 10
Summary: Students will use their knowledge of corresponding parts of congruent parts of
congruent polygons to study and apply postulates and theorems related to triangle congruence.
Throughout this chapter, students complete progressively more complex proofs.
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:
 What conditions must be true in order to prove two triangles congruent?
 How do you identify corresponding parts of congruent triangles?
 What are the properties of an isosceles triangle? Equilateral?
 How can you tell whether a triangle is isosceles or equilateral?
 How can you identify and apply special segments in triangles?
 How do you determine if three segment lengths can form a triangle?
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Hempfield School District Curriculum: Unit Template
 What are the relationships between the interior and exterior angles of a triangle?
 How do you use coordinate Geometry to find relationships within triangles?
Assessment Anchors:
Eligible Content:
Know
Vocabulary:
Congruent Polygons
Side-Side –Side
Postulate
Side-Angle-Side
Postulate
Angle-Side-Angle
Postulate
Angle-Angle-Side
Postulate
Corresponding Parts of
Congruent Triangles
are Congruent(CPCTC)
Isosceles Triangle –
legs, base, vertex
angle, base angles,
corollary,
Hypotenuse leg
theorem
Understand
Do
Students will understand: The students will be able to:
 Name congruent parts
 Find congruent triangles
 Proving triangles congruent
 Use SSS, SAS, ASA, AAS,
HL to prove triangles
congruent.
 Use the Isosceles triangle
theorems
 Do proofs using HL theorem
 Do proofs using CPCTC
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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