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Main Street Academy
2011-20012
Weekly Lesson Plan Format
C.CLARK
Course: GEOMETRY
Unit of Study: TRANSFORMATIONS/ SIMILAR POLYGONS
Unit Essential Question: How do you describe a transformation algebraically and using matrix operations? How can you determine if two figures are
similar?
Beginning Date: 11/14/2011
Ending Date: 11/18/2011
State competency goal and objective: 3.01 - Describe the transformation (translation, reflection, rotation, dilation) of polygons in the
coordinate plane in simple algebraic terms. 3.02: Use matrix operations (addition, subtraction, and scalar multiplication) to describe
the transformation of polygons in the coordinate plane. 2.03a, b & c: Apply properties, definitions, and theorems of two-dimensional
figures to solve problems and write proofs: a) Triangles. b) Quadrilaterals. c) Other polygons.
Teacher Input
(2. Presentation)
Essential
Question (s):
Date
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)
11/14/11
How do you
describe a dilation
algebraically and
using matrix
operations? How do
I find the final
image if the
transformation
involves more than
one mapping?
7.5 Lesson Opener –
(Chapter 7
Resources)
Instruction:
7.5 Multiple Transformations: Glide Reflections and Compositions
8.7 Dilations Section
Guided Practice:
7.5 Concept Activity
Independent Practice:
Matho- continued
CHP.7.TRANSFORMATIONS AND
MATRICES.WORKSHEET.doc
Instruction:
8.2 Problem Solving in Geometry with Proportions
11/15/11
How do you
describe a
transformation
algebraically and
using matrix
operations?
Warm- ups:
5 Review from
Transformation
aligned/ test
Warm ups 11-1511.docx
Indicators Pg. 22: C-E
Pg. 23: G
CHP.7.TRANSFORMATIONS
AND
MATRICES.WORKSHEET.doc
Ticket out the door.
1.
Guided Practice:
Problem Solving in Geometry with Proportions Section 8.2
Algebra Activity
8.1 Ratios & Proportions: Guided notes- with examples
Independent Practice:
Discussion/Summarize of
transformations and terms.
2.
3. simplify: 12/20 =
Answer the Questions from
Algebra Activity
# 21. FIND THE MEASURES OF EACH ANGLE:
# 21. FIND THE MEASURES OF EACH ANGLE:
4.
(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.
____,
____, ____, ____
None
Main Street Academy
2011-20012
Weekly Lesson Plan Format
C.CLARK
Unit 7 Assessment
11/16/11
11/17/11
How do you
determne if two
polygons are
similar? How do
you find missing
measures of similar
polygons?
How do you
determine if two
triangles are
similar?
How do you prove
that two triangles
are similar?
8.3 Lesson opener
(Chapter 8
Resources)
Put up several
examples of similar
polygons and nonsimilar polygons.
Let students
investigate why they
are/not.
Warm- ups:
5 Review from
Similar aligned
Instruction:
8.3 Similar Polygons
with PowerPoint
Guided Practice:
8.3 Concept Activity Making Conjectures about Similarity:
CHP.8.8.3.SIMILAR.POLYGONS.PPT. handout
Independent Practice:
8.3 Practice A, B, & C
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
Popsicle stick questioning:
Randomly choose students to
recap main points of lesson.
10
10
xx==______
______
yy==______
______
99
yy
*8.3 Practice (A, B, or C) - if
student didn’t finish in class.
xx
zz==______
______
Instruction:
8.4 Similar Triangles
8.5 Proving Triangles are Similar
Guided Practice:
Similar triangles – Kuta
Independent Practice:
CHP.8.8.4.A.POSTULATE.FOR.SIMILAR.TRIANGLES.PPT.doc
Quiz: 8.1 to 8.3
Quiz: 8.1 to 8.3
3, 2, 1…
3 examples of similar triangles
2 things you learned
1 question/ thing you are unclear
of.
Warm- ups:
11/18/11
How do you find
missing measures
of similar triangles
using proportions?
5 Review from
Similar aligned
Instruction:
8.6 Proportions and Similar Triangles
PowerPoint- continued
Guided Practice:
8.6 Guided notes with examples
Independent Practice:
Proportional parts in triangles and parallel lines
Review of Chapter 8: group
Checkpoint Exercises
within notes
Review of Chapter 8: Basketball
or Vocabulary Pyramids
None
C.CLARK
Literacy
enhancements/
Key
Vocabulary:
Adaptations/
Differentiation:
Main Street Academy
2011-20012
Weekly Lesson Plan Format
Dilations composition
Scalar multiplication
horizontal dimension change
vertical dimension change
center of rotation (origin)
clockwise
counterclockwise (standard)
multiples of 90 ( 180, 270, 360)
Use patty paper
Use graph paper to map figures
Be sure to use the notation (x',y') =
Use geometer’s sketchpad as
technology opener (preview version)
For more resources for matrix
representation, use Alg II resources
for Section 4-4 and the appendix in
the Geometry text Pg 864
Similar Proportion cross product
reflection in a horizontal line identity
matrix• vertex matrix
reflection in a
vertical line
• isometry • reflection •pre-image
• image
•mapping
•transformation matrix • translation
8.3 Practice A, B, & C- A Brad/
Dominique, B- Jessy, C- Alex
line of relfection
x-axis reflection
y-axis reflectoin
y = x reflection•rotation