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WOODLAND HILLS HIGH SCHOOL LESSON PLAN
SAS and Understanding By Design Template
Name Andrea Sisk
Date October 31, 2011
Edline was updated this week:
Length of Lesson 14 days
Content Area Geometry
My Class website was updated this week:
STAGE I – DESIRED RESULTS
LESSON TOPIC: Congruent Triangles
BIG IDEAS:
(Content standards, assessment anchors, eligible content) objectives, and skill
focus)
2.3.11.A Select and use appropriate units and tools to measure to the degree
of accuracy required in particular measurement situations.
2.3.11.B Measure and compare angles in degrees and radians.
2.9.8.D
Identify, name, draw and list all properties of squares, cubes,
pyramids, parallelograms, quadrilaterals, trapezoids, polygons, rectangles,
rhombi, circles, spheres, triangles, prisms and cylinders.
2.9.11.C Identify and prove the properties of quadrilaterals involving opposite
sides and angles, consecutive sides and angles and diagonals using deductive
proofs.
2.9.11.B Prove that two triangles or two polygons are congruent or similar
using algebraic, coordinate and deductive proofs.
UNDERSTANDING GOALS (CONCEPTS):
Students will understand: 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.
ESSENTIAL QUESTIONS: Can you…
•Identify and classify triangles by angles and by sides
•Explain why triangles cannot be right and acute…
•Identify relationships among the measures of interior and
exterior angles of a triangle
•Apply the angle sum theorem (sum of 3 angles of triangle =
180)
•Apply the exterior angle theorem to find unknown values
•Name and label corresponding parts of congruent triangles
•Identify congruence transformations (slide, flip, turn)
•Uses appropriate postulate to test and prove triangle
congruance (SS, SAS, AAS, ASA, HL, LL)
•Understand properties of isosceles and equilateral triangles
and use them in an argument correctly
•Plot points on a coordinate plane to allow for coordinate
proofs with triangles?
VOCABULARY: Acute triangle, obtuse triangle, right
triangle, equiangular triangle, scalene triangle, isosceles
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.
STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES):
Students will be able to:
1. Identify and classify triangles by angles and sides
2. Do activity to discover the angle sum theorem and 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
STAGE II – ASSESSMENT EVIDENCE
PERFORMANCE TASK:
Students will actively
participate in class examples, discussion, classwork, group
discussion, and activities
FORMATIVE ASSESSMENTS:
#1. Exit Tickets
#2. Pre-Assessment
#3. Graphic Organizers
Others: Summarizing Main Idea, Open-Ended Questions,
Think-Pair-Share
STAGE III: LEARNING PLAN
INSTRUCTIONAL
PROCEDURES:
MATERIALS AND
RESOURCES:
Active Engagements used:
#1. Note-Taking
#2. Compare Contrast
Others: Graphic Organziers,
Summarizing, Cooperative
Education, Partnering, ThinkPair-Share
Unit 4 (Glencoe
Geometry text and
supplementals)
Describe usage: See below for
Compare/Contrast, Graphic
Organizers, Cooperative
Education, Partnering, NoteTaking, Think-Pair-Share.
Check for understanding and
summarizing using warm up,
homework, formative assessment
questioning or exit tickets to
determine whether to continue
lesson or do interventions as
needed. (model, spiral
scaffolding, instruct/ reteach as
needed)
Scaffolding used:
#1. Guided Notes
#2 . Build on Prior Knowledge
Others: Graphic Organizers,
Build Vocabulary, KWL
Describe usage: Warm up to
Warm ups (daily)
Homework (daily)
“Grab & Go”
worksheets/ activities
Unit Test
Additional materials as
needed (rulers, compass,
grid paper, etc)
CONTENT AREA
READING:
Guided Notes
INTERVENTIONS:
ASSIGNMENTS:
Struggling students will be
referred to RTII
Small group/flexible
grouping will occur.
Various computer programs.
•(4-1) Classifying Triangles –
Day 1 Page 180-181 # 1-4,
7-10, 22-29, 32, 33
•(4-1) Classifying Triangles Day 2 Worksheet
•(4-2) Angles of Triangles –
Day 1 Page 189 # 11-38, 47
•(4-2) Angles of Triangles –
Day 2 4-2 Practice
Worksheet or Page 188 # 1 –
10
•(4-6) Isosceles Triangles –
Day 1 Page 219 – 220 # 9 –
28, 35 – 37
•4-6) Isosceles Triangles –
Day 2 4-6 Practice
Worksheet or Page 219 # 1 –
6, 8
•4-1, 4-2, 4-6 Partner Test
•(4-3) Congruent Triangles –
Day 1 Page 195 # 9 – 20, 22
– 25, 29 – 32
•(4-3) Congruent Triangles –
Day 2 4-3 Practice
Worksheet or Page 195 # 1 –
6, 8
•(4-4) Proving Congruence –
SSS, SAS – Day 1 Page 204
– 205 # 10, 11, 14 – 25
•(4-4) Proving Congruence –
SSS, SAS – Day 2 4-4
Practice Worksheet or Page
include spiraling review of prior
knowledge to include upcoming
lesson. All notes are guided notes
to build vocabulary, interspersed
with group activities. Graphic
organizers utilized when
appropriate to compare/contrast
vocabulary. KWL used with
chapter vocabulary at beginning
and end of each chapter.
Other techniques used:
MINI LESSON:
Based on daily assessments
(formative and summative),
additional modeling, instruction,
homework, review, interventions,
group work, computer or teacher
guided practice will be done.
203 # 1 – 9
•(4-5) Proving Congruence –
ASA, AAS – Day 1 Page 211
# 9 – 20, 25 – 28
•(4-5) Proving Congruence –
ASA, AAS – Day 2 4-5
Practice Worksheet or Page
210 # 1 – 8
•Chapter 4 Review WS