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Transcript
Harrison High School: Lesson Plans Week-At-A-Glance
WEEK:
10/31- 11/4
ACC. Math I
Monday
Essential Question:
Tuesday
Essential Question:
Wednesday
Essential Question:
Thursday
Essential Question:
Friday
Essential Question:
What is the relationship between
angles and sides of polygons?
What is the relationship between
angles and sides of polygons?
How do we prove
properties of polygons?
How do we prove properties of
polygons?
What are the properties of
convex polygons and how are
they proven?
Standard: MM1G3:
Standard: MM1G3:
Standard: : MM1G3:
Standard: MM1G3: Students
Standard: MM1G3: Students
Students will discover,
prove, and apply properties
of triangles, quadrilaterals,
and other polygons.
a. Determine the sum of
interior and exterior angles
in a polygon. b. Undertand
and use the triangle
inequality , the side-angle
inequality and the exteriorangle inequality.
Students will discover,
prove, and apply
properties of triangles,
quadrilaterals, and other
polygons.
a. Determine the sum of
interior and exterior
angles in a polygon. b.
Undertand and use the
triangle inequality , the
side-angle inequality and
the exterior-angle
inequality.
Students will discover,
prove, and apply
properties of triangles,
quadrilaterals, and other
polygons.
a. Determine the sum of
interior and exterior
angles in a polygon. b.
Undertand and use the
triangle inequality , the
side-angle inequality and
the exterior-angle
inequality.
will discover, prove, and apply
properties of triangles,
quadrilaterals, and other
polygons.
c. Understand and use
congruence postulates and
theorems for
triangles(SSS,SAS,ASA,AAS,HL)
will discover, prove, and apply
properties of triangles,
quadrilaterals, and other
polygons.
c. Understand and use
congruence postulates and
theorems for
triangles(SSS,SAS,ASA,AAS,HL
Objectives:
Objectives The student will
Objectives: :
Objectives: The student will
:
1. Find measures of transversal
angles, 2. Find angle measure
using triangles, vertical angles
and linear pair relationships.
3. determine the sum of the
interior and exterior angles in a
polygon. 4. Understand and use
the triangle inequality ,side-angle
inequality and the exterior angle
inequality.
The student
will: 1. Understand and use the
triangle inequality ,side-angle
inequality and the exterior angle
inequality.
Objectives: The student will
The student will :
1. Find measures of transversal
angles, 2. Find angle measure using
triangles, vertical angles and linear
pair relationships
determine triangle congruence and
prove triangles congruent using
SSS,SAS,AAS, ASA,HL.
determine triangle congruence and
prove triangles congruent using
SSS,SAS,AAS, ASA,HL.
Activities: Go over angle measure
worksheet given on Friday.
Complete packet of terms using
transversal angles. Give students
two diagrams: one with nonparallel
lines and a transversal and another
Activities:Class starter ( ticket in
the DOOR- Formative
assessment) . Notes on polygons
using a graphic organizer.
POWERPOINT LESSON FOR
NOTES > Paper folding activity
Activities: IRESPOND , for class
starter ( if do not finish on tues).
Go over exterior angle task from
TUES. Class practice worksheet
on interior and exterior angle
measures ( using formulas).
Activities:Formative assessment- quiz
over interior/exterior angles and triangle
inequality.
Measure and construct triangles to
prove 5 test for triangle congruence. (
SSS,SAS,AAS,ASA) give reasons and
Activities Class starter- Draw pictures
to illustrate 4 ways to prove triangles
congruent. Turn in for cw/hw grade.
Discuss exception to the ambiguous
case- SSA using HL theorem. Show
drawings done by student on ways to
with parallel lines and transversal. (
StUDENT CENTERED ACTIVITY Discover transversal angle types
and relationships ( congruent or
supplementary )Break into RED
color groups, worksheet for hw on
transversal angles. CLOSURE:
review , BY QUESTIONING<using
diagrams on overhead : name
transversal angles types and give
the relationships. Complete
worksheet for hw , if necessary.
to show triangle sum theorem,
and exterior angle theorems.
(Kinesthetic and visual learning
styles addressed)
Students will be assigned RED
groups based on readiness.
Break into groups.( STUDENT
CENTERED ACTIVITY) Triangle
inequality task with spaghetti
noodles. Use calculator if
needed. Review results. Hand out
Interior angle Task – discovery
activity to find interior angle sum
of convex polygons and 1
interior angle of regular
polygons.This investigation will
use a chart that leads to interior
angle sums of convex polygons.
SUMMARIZE - review formula.
Begin Exterior angle task, if time
permits,IRESPOND (technology)
formative assessment for quiz
grade.
Go over worksheet in class and
use as a review for quiz on thurs.
Begin GEOMETRY TOOLKITreasons used in proofs (
definitions, theorems, and
postulate). Give notes on
properties in algebra and show
how to prove algebraically.
Using the same logic( deductive
reasoning) , show how to prove
triangles congruent using a flow
chart. Worksheet on congruency
for HW. TIX out the DOORGiven a triangle congruency –
state all angles and sides
congruent.
illustrate why SSA and AAA are not
ways to prove triangles congruent.
THINK/PAIR/SHARE -Give worksheet in
class and have students work with a
partner to determine which Theorem
aforementioned is used. Begin basic
triangle proofs using informal(picture
proofs) and formal 2 column methods.
prove triangles congruent. Go over hw
and address related questions.
Continue working with partners from
Thursday and prove triangles
congruent using 2 column method. Go
over worksheet and take questions.
Hw- worksheet on triangle congruence
and proofs.
Summarize lesson using powerpoint.
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