Download GeoUnitThreePlan

Title: Triangles in Construction
Author: Anthony Cappetta & Ryan Murphy
Time Frame: 5 Weeks (October 25 – November 24)
Stage 1: Desired Results
Established Goals
Common CORE Standards:
- Use geometric shapes, their measures, and their properties to describe real-world objects
- Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string,
reflective devices, paper folding, dynamic geometric software, etc.)
- Prove theorems about triangles
College Readiness Standards:
- Use the properties of isosceles triangles* (to solve for missing angle and/or side length)
- Find the measure of an angle using the properties of parallel lines.
Content Related Vocabulary
scalene triangle, isosceles triangle, equilateral triangle, acute triangle, right triangle, obtuse triangle,
equiangular triangle, interior angles, exterior angles, congruent, corresponding parts, base, vertex angle, base
angles, hypotenuse, leg
Enduring Understandings
Students will understand that…
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the classification of triangles determine its
different properties
there is a systematic way to determine if
triangles are congruent
triangles are the strongest shape in
construction
Essential Questions
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What shapes would I use to provide the
strongest structures in constructing something?
What are the features of a triangle?
How do I prove something is the same?
Students will know…
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Students will be able to…
Scalene, isosceles, equilateral, acute, right
and obtuse triangles
Triangle lines, segments and properties
Triangle congruency
Informal Proofs
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Classify different triangles
Use the properties of isosceles triangles to
solve for missing angle and/or side length
Determine if a triangle can be created by given
measurements
Find the measure of an angle using the
properties of parallel lines
Prove triangles are congruent by using SSS, SAS,
ASA, AAS and HL
Use congruent triangles to prove parts of
triangles are congruent.
Stage 2: Assessment Evidence
Performance Tasks
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Personal Proof Debate
Gatorade Challenge
Other Evidence
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Multiple Choice Quiz
Free Response Quiz
Student Writing
Thumbs Up/Down or Fist of Five
Exit Slips
Small Group Discussion
Skill Based Homework
Unit Exam
Portfolio reflection
Stage 3: Learning Plan
Learning Activities/Pacing Calendar
WEEK ONE (OCT. 25 – OCT. 29): 5 day week
- diagnostic unit test (E2)
- individual answers to essential questions (W, H)
- essential questions class discussion (possibly Socratic Seminar) (H, E1)
- triangle challenge/gallery walk – draw and classify as many different ones as possible (H,E1)
- lecture on triangle classification and triangle sum property (W, E1, R)
- individual class practice and homework on pg. 221, 222 (R, E2)
- introduction of isosceles vocabulary and features (W, E1)
- discovering geometry book problems from chapter 4.2 (E1, R)
WEEK TWO (NOV. 1 – NOV. 5): 5 day week
- discovery activity on triangle inequality rule (E1)
- gatorade challenge (H, R, E2)
- free response quiz (E2)
- identify and label parts of congruent triangles (E1)
- triangle congruence station activity (H, E1)
- letter to “pretend absent student” on different triangles congruence (R, E2)
- explain/introduce proofs through review of old angle problems (E1)
- teacher modeling of informal proofing of triangle congruence (W, E1)
- a-b-c summarize of proof (R, E2)
- homework from pg. 228 - 230
WEEK THREE (NOV. 8 – NOV. 10): 3 day week
- proof jigsaw activity (E1, R)
- introduction of debate project (E2)
- individual proof practice from 4.3 – 4.5, differentiate difficulty level (E1)
- peer review of proofs (E1, R)
- create graphic organizer for triangle proofs (E1, R)
WEEK FOUR (NOV. 15 – NOV. 19): 4 day week
- what is wrong with this proof? error analysis activity (E1, R)
- quiz review for proof quiz (R, E2)
- open-response proof quiz (E2)
- class time to work on debate project (E2)
- lecture on proving corresponding parts of congruent triangles are equal (E1)
- individual proof practice and homework from pg. 259 - 264 (E1, R)
- jeopardy review game (R, E2)
WEEK THREE (NOV. 22 – NOV. 24): 3 day week
- debate project presentations (E2)
- unit exam (E2)
- portfolio reflection (E2)
Reflections