Name: Andrea Sisk
Date: 11-17-14
WOODLAND HILLS SECONDARY
LESSON PLANS
Content Area: Geometry
Length of Lesson: 14 days
STAGE I – DESIRED RESULTS
Lesson Topic (Modules, if applicable):
Congruent Triangles
Big Ideas:
CC.2.3.HS.A.1
Use geometric figures and their properties to
represent transformations in the plane.
CC.2.3.HS.A.2
Apply rigid transformations to determine and
explain congruence.
CC.2.3.HS.A.3
Verify and apply geometric theorems as they relate
to geometric figures.
CC.2.3.HS.A.4
Apply the concept of congruence to create
geometric constructions.
CC.2.3.HS.A.11
Apply coordinate geometry to prove simple
geometric theorems algebraically.
CC.2.3.HS.A.14
Apply geometric concepts to model and solve real
world problems.
G.1.2.1 Recognize and/or apply properties of
angles, polygons, and polyhedra.
G.1.3.1 Use properties of congruence,
correspondence, and similarity in problem‐solving
settings involving two‐ and three‐
dimensionalfigures
G.1.3.2 Write formal proofs and/or use logic
statementsto construct or validate arguments.
G.2.1.2 Solve problems using analytic geometry.
G.2.2.1 Use and/or compare measurements of
angles
G.2.2.4 Apply probability to practical situations.
Understanding Goals (Concepts):
Proving triangles congruent using SSS, SAS, ASA
and AAS. They will write proofs as 2 column, and
possible flow and coordinate proofs. They will
classify triangles according to angles or sides and
apply the Angle Sum Theorem and the Exterior
Angle Theorem. Students will use properties of
isosceles and equilateral triangles in proofs and
also position and label triangles for use in
coordinate proofs.
Student Objectives (Competencies/Outcomes):
1. Identify and classify triangles by angles and sides
2. Do activity to discover the angle sum theorem and
Essential Questions:
•Can you identify and classify triangles by angles
and by sides?
Vocabulary:
Acute triangle, obtuse triangle, right triangle,
equiangular triangle, scalene triangle, isosceles
exterior angle theorems. Apply the Angle Sum
Theorem. Apply the Exterior Angle Theorem
3. Name and label corresponding parts of congruent
triangles. Identify congruence transformations
4. Use the SSS and SAS Postulates to test for triangle
congruence
5. Use the ASA and AAS Postulates to test for
triangle congruence
6. Use properties of isosceles triangles
7. Use properties of equilateral triangles
8. Position and label triangles for use in coordinate
proofs. Write coordinate proofs
•Can you explain why triangles cannot be right and
acute?
•Can you identify relationships among the
measures of interior and exterior angles of a
triangle?
•Can you apply the angle sum theorem (sum of 3
angles of triangle = 180)?
•Can you apply the exterior angle theorem to find
unknown values?
•Can you name and label corresponding parts of
congruent triangles?
•Can you identify congruence transformations
(slide, flip, turn)?
•Can you use appropriate postulate to test and
prove triangle congruance (SS, SAS, AAS, ASA, HL,
LL)?
•Can you understand properties of isosceles and
equilateral triangles and use them in an argument
correctly?
•Can you plot points on a coordinate plane to allow
for coordinate proofs with triangles?
triangle, equilateral triangle, exterior angle,
remote interior angle, flow proof, corollary,
congruent triangles, congruence, transformations,
included angle, included side, vertex angle, base
angles, coordinate proof.
STAGE II – ASSESSMENT EVIDENCE
Performance Task:
Formative Assessments:
Students will actively participate in mini-lessons, guided and independent
Pre-assessments, open-ended higher-order-thinking questions, think-pairpractice, activities (including authentic problem-solving tasks and vocabulary),
share, graphic organizers, do nows, observation of guided and independent
and group work. Also, students will demonstrate adequate understanding via
practice, brief in-class writing prompts
various quizzes, a writing assignment, a project, and an end-of-chapter test.
STAGE III – LEARNING PLAN
Interventions:
Flexible grouping, students will be encouraged to attend Math Lab and College
and Career Access Center tutoring.
Materials and Resources:
Textbook and notes
Assignments
Procedures
Instructional Procedures*:
Monday
Tuesday
Date: 11/17
Day: B
Date: 11/18
Day: A
 “Do Now” – Write at
 “Do Now” – Distance
least four lines about
Formula Review
isosceles, equilateral and
 “Mini Lesson” – Isosceles
equiangular triangles.
Triangles
 “Mini Lesson” – Isosceles
 “Guided Practice” –
Triangles
Apply isosceles triangle
 “Guided Practice” –
theorem. Use properties
Apply isosceles triangle
of equilateral and
theorem. Use
isosceles triangles.
properties of equilateral
 “Independent Practice”
and isosceles triangles.
– Students will work on
 “Independent Practice”
practice and application
– Students will work on
problems involving
practice and application
isosceles and equilateral
problems involving
triangles
isosceles and equilateral
 “Formative Assessment”
triangles
- Observe students
 “Formative Assessment”
during “Do Now”, “Mini- Observe students
Lesson”, “Guided
during “Do Now”, “MiniPractice” and
Lesson”, “Guided
“Independent Practice”
Practice” and
“Independent Practice”
•(4-6) – Day 1 Page 219 –
220 # 9 – 28, 35 – 37
•4-6) – Day 2 4-6 Practice
Worksheet
Wednesday
Date: 11/19
Day: B
 “Do Now” – N/A
 “Mini Lesson” – N/A
 “Guided Practice” – N/A
 “Independent Practice”
– Students will complete
assessment on triangles.
 “Formative Assessment”
- Observe students
during “Independent
Practice”
Thursday
Date: 11/20
Day: A
 “Do Now” – Complete
two column algebraic
proof.
 “Mini Lesson” –
Congruent Triangles
 “Guided Practice” –
Identify corresponding
congruent parts of
triangles and prove
triangles congruent.
 “Independent Practice”
– Students will work on
practice and application
problems involving
corresponding parts of
triangles and proving
triangles congruent.
 “Formative Assessment”
- Observe students
during “Do Now”, “MiniLesson”, “Guided
Practice” and
“Independent Practice”
•(4-3) – Day 1 Page 195 # 9
– 20, 22 – 25, 29 – 32
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
Friday
Date: 11/21
Day: B
 “Do Now” – Identify
congruence properties
given statements (p.191
#59-64).
 “Mini Lesson” –
Congruent Triangles
 “Guided Practice” –
Identify correspond
congruent parts of
triangles and prove
triangles congruent.
 “Independent Practice”
– Students will work on
practice and application
problems involving
corresponding parts of
triangles and proving
triangles congruent.
 “Formative Assessment”
- Observe students
during “Do Now”, “MiniLesson”, “Guided
Practice” and
“Independent Practice”
•(4-3) – Day 2 4-3 Practice
Worksheet