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Main Street Academy
2011-20012
Weekly Lesson Plan Format
C.CLARK
Course: GEOMETRY
Unit of Study: SIMILAR POLYGONS & RIGHT TRIANGLES
Unit Essential Question: How can you determine if two figures are similar? How do you solve a right triangle for missing measures? (How do you decide which method to use when solving a right triangle?)
Beginning Date: 11/28/2011 Ending Date: 12/02/2011
State competency goal and objective: 2.03a: Apply properties, definitions, and theorems of two-dimensional figures to solve problems and write proofs: a) Triangles. 1.01: Use the trigonometric ratios to model and solve problems
involving right triangles.
Teacher Input
(2. Presentation)
Date
Essential
Question (s):
Activating Strategy/
Emotional Hook
(1. Start the lesson)
Closure
Student Active Participation
(3. Guided practice)
Summarizing
Activity
(5. Evaluation)
Homework
Additional Student Activities
(4. Independent practice)
11/28/11
How do you
determine if two
triangles are
similar?
How do you prove
that two triangles
are similar?
Instruction:
8.4 Similar Triangles
Brain Pop Movie: Similar Triangles
8.5 Proving Triangles are Similar
Guided Practice:
Review of 8.1 & 8.2 & 8.3 - popsicle sticks
Similar triangles – Kuta
Perimeter of Similar Triangles
Independent Practice:
CHP.8.8.4.A.POSTULATE.FOR.SIMILAR.TRIANGLES.PPT.doc
Quiz: 8.1 to 8. 3
Warm- ups:
1.
2.
3. simplify: 12/20 =
4.
# 13. TELL WHETHER THE TWO POLYGONS ARE
TELL WHETHER
THEOR
TWO
POLYGONS
ARE
ALWAYS,
SOMETIMES,
NEVER
SIMILAR.
# 13.
ALWAYS, SOMETIMES, OR NEVER SIMILAR.
(a.) Two equilateral triangles. ______
(a.) Two equilateral triangles. ______
(b.) Two isosceles triangles. ______
(b.) Two isosceles triangles. ______
(c.) Two right triangles. ______
(c.)Two
Two
right triangles.
(d.)
scalene
triangles.______
______
(d.)Two
Two
scalene______
triangles. ______
(e.)
squares.
(e.)Two
Two
squares. ______
(f.)
rectangles.
______
Two
rectangles.
______ ______
(g.)(f.)Two
isosceles
trapezoids.
(g.)Two
Two
isosceles trapezoids.
______
(h.)
rhombuses.
______
(h.)Two
Two
rhombuses.
______
(i.)
regular
hexagons.
______
(i.) Two regular hexagons. ______
Quiz: 8.1 to 8.3
Section 8.4: pp.
483-487 #9-17 all,
18-26 all, 33-38 all,
40-46 even
Warm- ups:
11/29/11
How do you use
proportions to find
missing lengths in
figures?
Give a written
explanation of how to
solve for x, y, and z.
##10.
10.
The
Thepolygons
polygonsare
aresimilar.
similar.
18
18
zz
66
88
10
10
xx==______
______
yy==______
______
zz==______
______
99
yy
xx
Instruction:
8.6 Proportions and Similar Triangles /PowerPoint- continued
Guided Practice:
8.6 Guided notes with examples
Chapter Review: pp. 516-518 # 1-17 all
Independent Practice:
Proportional parts in triangles and parallel lines
Review of Chapter 8: group- basketball review
3, 2, 1…
3 examples of
similar triangles
2 things you learned
1 question/ thing you
are unclear of.
8.6 Guided notes
with Checkpoint
exercises.
# 21. FIND THE MEASURES OF EACH ANGLE:
# 21. FIND THE MEASURES OF EACH ANGLE:
(a.) The ratio of the measures of two
(a.) The ratio
of theismeasures
of two
complementary
angles
4 : 5. ____,
____
complementary angles is 4 : 5. ____, ____
(b.) The ratio of the measures of two
(b.) The ratio
of the
of two
supplementary
angles
is measures
11 : 4. ____,
____
supplementary angles is 11 : 4. ____, ____
(c.) The measures of the angles of a
(c.)
The measures
of the3angles
triangle
are in the ratio
: 4 : 5. of a
triangle
are ____,
in the ____
ratio 3 : 4 : 5.
____,
____, ____, ____
Popsicle stick
questioning:
Randomly choose
students to recap
main points of
lesson.
Chapter Test:
p. 519 #1-17 all
Main Street Academy
2011-20012
Weekly Lesson Plan Format
C.CLARK
11/30/11
12/1/11
12/2/11
Are all right
triangles similar?
And how would you
prove or disprove?
How and when do
you use
Pythagorean
Theorem to solve
right triangles?
How and when do
you use
Pythagorean
Theorem to solve
right triangles?
Given three lengths,
how do you
determine the
triangle type (acute,
obtuse, right)?
How and when do
you use 45-45-90
rules and 30-60-90
rules?
KWL- Right
triangles and similar
right triangles
Brain Pop: The
Pythagorean
Theorem
Have students write
the converse of math
theorems &
statements.
Instruction:
9.1 Similar Right Triangles & 9.2 Pythagorean Theorem
Guided Practice:
9.1 / 9.2 notes with examples. Discussion.
Independent Practice:
Chapter 8 Test: CHAPTER 8.TESTS- similar to test
Algebra Review: Radicals ( Grade 8- maintain)
Section 9.1: pp. 531-534 #11-30 all
Instruction:
9.3 The Converse of the Pythagorean Theorem & 9.4 Investigation:
Special Right Triangles
Guided Practice:
9.4 Concept Activity: Investigate Special Right Triangles in pairs.
(McDougal Littell: Geometry book)
Independent Practice:
9.3 Homework Quiz: HW.QUIZ.9.3.doc
Check Pythagoras
Instruction:
9.4: Special Right Triangles
Guided Practice:
Pythagorean
Theorem
Ticket out the door.
1. On a bicycle trip, Gina rode her
bike up a steep hill. She measured
her distance to be 2.5 miles.
She knew that the horizontal
distance was 1.9 miles. How high
was the hill?
2.
missing side.
Find the
Create a graphic
organizer for how and
when you use the
Pythagorean theorem to
solve right triangles.
(Be sure you use steps/
procedures)
Answer the first
essential question.
Section 9.2: pp.
538-540 #6-30
even
1.
2.
What is the
converse of
P.T.?
How do you
classify
triangle
using P.T.?
30 60 90.pdf
9.4 Guided notes
Independent Practice:
Chapter 9: Quiz 1- 9.1 to 9.3
Concentration: partners, take turns as review
Fill in the LLearned column on
your KWL chart
Literacy
enhancements/Key
Vocabulary:
Dilations Scale factor
Scalar multiplication
Extremes & Means
Geometric mean
Radical
short leg
long leg
rationalize
Similar
Proportion
cross product
ratio corresponding sides
Pythagorean theorem
Hypotenuse
Legs
Right triangle Right angle
Adaptations/
Differentiation:
Use patty paper
Use graph paper
Use geometer’s sketchpad as
technology opener (preview version)
*Let students write the converse- good
review of logic.
Pair students- triangles/squares.
-Strong. -Weak
None
Special right triangles:
30-60-90
45-45-90
3:4:5