Name: Andrea Sisk
Date: February 2, 2015
WOODLAND HILLS SECONDARY
LESSON PLANS
Content Area: Geometry
Length of Lesson: 10 days
STAGE I – DESIRED RESULTS
Lesson Topic (Modules, if applicable):
Proportions and Similarity
Big Ideas:
 CC.2.3.HS.A.5 Create justifications based
on transformations to establish similarity
of plane figures.
 CC.2.3.HS.A.6 Verify and apply theorems
involving similarity as they relate to plane
figures.
Understanding Goals (Concepts):
How ratios and proportions apply to similar
figures.
How scale factor is used in solving of proportions.
Recognize and use proportional parts and
relationships to solve problems with similar
triangles and parallel lines. .
Student Objectives (Competencies/Outcomes):
1. Write ratios. Use properties of proportions.
2. Identify similar figures. Solve problems involving
scale factors.
3. Identify similar triangles. Use similar triangles to
solve problems.
4. Use proportional parts of triangles. Divide a
segment into parts.
5. Recognize and use proportional relationships of
corresponding perimeters of similar triangles.
6. Recognize and use proportional relationships of
corresponding angle bisectors, altitudes, and
medians of similar triangles.
Essential Questions:
Can you…
 Identify similar polygons?
 Set up and use ratios and proportions to
solve problems with polygons?
 Recognize and use proportional parts
including perimeters, altitudes, angle
bisectors, and medians of similar triangles?
Vocabulary:
Ratio, proportion, means – extremes (cross
products), similar polygons, scale factor, midsegment, iteration, fractal, self-similar
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, and an end-of-chapter test.
Materials and Resources:
Textbook and notes
STAGE III – LEARNING PLAN
Interventions:
Flexible grouping, students will be encouraged to attend Math Lab and College
and Career Access Center tutoring.
Procedures
Instructional Procedures*:
Monday
Date: 2/2
Day: A
 “Do Now”- N/A
 “Mini Lesson” – N/A
 “Guided Practice” – N/A
 “Independent Practice”
Students will review
Proportions and
Similarity in preparation
for their chapter exam.
“Formative Assessment”
- Observe students
during “Independent
Practice”
Tuesday
Date: 2/3
Day: B
 “Do Now”- N/A
 “Mini Lesson” – N/A
 “Guided Practice” – N/A
 “Independent Practice”
Students will complete
assessment on
Proportions and
Similarity
 “Formative Assessment”
- Observe students
during “Independent
Practice”
Wednesday
Date: 2/4
Day: A
 “Do Now” – Use cross
products to find a
missing value
 “Mini Lesson” –
Geometric Mean Section
7.1
 “Guided Practice” – Find
the geometric mean,
hypotenuse, and
altitude.
 “Independent Practice”
– Students will find the
geometric mean and use
it to find the length of a
hypotenuse and an
altitude.
 “Formative Assessment”
- Observe students
during “Do Now”,
“Guided Practice” and
“Independent Practice”
Thursday
Date: 2/5
Day: B
 “Do Now” – Review
Order of Operations
 “Mini Lesson” –
Pythagorean Theorem
Section 7.2
 “Guided Practice” – Find
the length of a
hypotenuse, find the
length of a leg, verify
that a triangle is a right
triangle, determine
whether a set of
numbers is a
Pythagorean Triple.
 “Independent Practice”
– Students will use the
Pythagorean Theorem to
find the length of a
hypotenuse and a let,
and to verify that a
triangle is a right triangle
and that a set of
numbers forms a
Pythagorean Triple.
 “Formative Assessment”
- Observe students
during “Do Now”,
“Guided Practice” and
“Independent Practice”
Friday
Date: 2/6
Day: A
 “Do Now” – Collins 2:
Compare and contrast
using the Pythagorean
Theorem to find a
hypotenuse and a leg.
 “Mini Lesson” –
Pythagorean Theorem
Section 7.2 Day 2
 “Guided Practice” – Find
the length of a
hypotenuse, find the
length of a leg, verify
that a triangle is a right
triangle, determine
whether a set of
numbers is a
Pythagorean Triple.
 “Independent Practice”
– Students will use the
Pythagorean Theorem to
find the length of a
hypotenuse and a let,
and to verify that a
triangle is a right triangle
and that a set of
numbers forms a
Pythagorean Triple.
 “Formative Assessment”
- Observe students
during “Do Now”,
“Guided Practice” and
“Independent Practice”
Assignments
Review for Test
7.1 Day 1 – p. 346 #13-37
odd
7.2 Day 1 – p. 354 #12-17,
22-29
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
Applications Worksheet