Name: Andrea Sisk
Date: April 20, 2015
WOODLAND HILLS SECONDARY
LESSON PLANS
Content Area: Geometry
Length of Lesson: 10 days
STAGE I – DESIRED RESULTS
Lesson Topic (Modules, if applicable):
Circles
Big Ideas:
There are some mathematical relationships that are
always true and these relationships are used as the
rules of arithmetic and algebra and are useful for
writing equivalent forms of expressions and solving
equations and inequalities.
Numbers, measures, expressions, equations, and
inequalities can represent mathematical situations
and structures in many equivalent forms.
Understanding Goals (Concepts):
Find angle measures of central, inscribed, interior,
and exterior angles; find arc measure and length of
circles. Special properties of circles are explored
including the fact that a circle is a unique
geometric shape in which the angles, arcs, and
segments intersecting that circle have special
relationships.
Student Objectives (Competencies/Outcomes):
1.Identify and use parts of circles. Solve problems
involving the circumference of a circle.
2.Recognize major arcs, minor arcs, semicircles, and
central angles and their measures. Find arc length.
3.Recognize and use relationships between arcs and
chords, and between chords and themselves.
4.Find measures of inscribed angles. Find measures
of angles of inscribed polygons.
5.Use properties of tangents, solve problems
involving circumscribed polygons
6.Find measures of angles formed by lines
intersecting on or inside, or outside a circle.
7.Find measures of segments that were in the
interior or exterior of a circle.
Essential Questions:
How can you use coordinates and algebraic
techniques to represent, interpret, and verify
geometric relationships?
How can a change in one measurement of a 2- or 3dimensional figure effect other measurements such
as perimeter, area, surface area or volume of that
figure?
Vocabulary:
Chord, circumference, arc, tangent, secant, center,
central angle, circumscribed, diameter, inscribed,
intercepted, major and minor arcs, point of
tangency
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
an end-of-chapter test.
STAGE III – LEARNING PLAN
Interventions:
Flexible grouping, students will be encouraged to attend Math Lab and College
and Career Access Center tutoring.
Materials and Resources:
Textbook and notes
Procedures
Instructional Procedures*:
Monday
Date: 4/20
Day: B
 “Do Now”- Find the
distance from a chord to
the radius of a circle.
 “Mini Lesson” –
Inscribed Angles
 “Guided Practice” – Find
the measures of
inscribed angles and
measures of angles
inscribed in polygons.
 “Independent Practice”
Students will find the
measures of inscribed
angles and measures of
angles inscribed in
polygons.
 “Formative Assessment”
- Observe students
during “Do Now”, “Mini
Lesson”, “Guided
Practice” and
“Independent Practice”
Tuesday
Date: 4/21
Day: A
 “Do Now”- Find arc
length
 “Mini Lesson” –
Inscribed Angles
 “Guided Practice” – Find
the measures of
inscribed angles and
measures of angles
inscribed in polygons.
 “Independent Practice”
Students will find the
measures of inscribed
angles and measures of
angles inscribed in
polygons.
 “Formative Assessment”
- Observe students
during “Do Now”, “Mini
Lesson”, “Guided
Practice” and
“Independent Practice”
Wednesday
Date: 4/22
Day: B
 “Do Now”- Write three
lines on “tangent”
 “Mini Lesson” –
Tangents
 “Guided Practice” – Use
properties of tangents;
solve problems involving
circumscribed polygons.
 “Independent Practice”
– Students will use
properties of tangents
and solve problems
involving circumscribed
polygons.
 “Formative Assessment”
- Observe students
during “Do Now”, “Mini
Lesson”, “Guided
Practice” and
“Independent Practice”
Thursday
Date: 4/23
Day: A
 “Do Now”- Find the
measure of a tangent.
 “Mini Lesson” –
Tangents
 “Guided Practice” – Use
properties of tangents;
solve problems involving
circumscribed polygons.
 “Independent Practice”
– Students will use
properties of tangents
and solve problems
involving circumscribed
polygons.
“Formative Assessment”
- Observe students
during “Do Now”, “Mini
Lesson”, “Guided
Practice” and
“Independent Practice”
Friday
Date: 4/24
Day: B
 “Do Now”- Write five
lines about what you
know about circles.
Underline at least 3
vocabulary words.
 “Mini Lesson” –Secants,
Tangents, and Angle
Measures
 “Guided Practice” – Find
measures of angles
formed by lines
intersecting on or inside,
or outside a circle. Find
measures of segments
that were in the interior
or exterior of a circle
 “Independent Practice”
Students will find
measures of angles
formed by lines
intersecting on, inside,
or outside a circle and
find measures of
segments that were in
the interior or exteriori
of a circle.
 “Formative Assessment”
- Observe students
during “Independent
Practice”
Assignments
10.4 Day 1
Pages 549-550 8-10, 13-16,
22, 25
10.4 Day 2 Worksheet
10.5 Day 1 Pages 556-557 818, 23
10.5 Day 2 Worksheet
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
10.6 Day 1
Pages 564-565 12-32 even