Name: Andrea Sisk
Date: April 13, 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
Assignments
Procedures
Instructional Procedures*:
Monday
Date: 4/13
Day: A
 “Do Now”- Write 5
things you know about
circles
 “Mini Lesson” –Circles
and Circumference
 “Guided Practice” –
Identify parts of a circle;
find radius, diameter,
circumference, and
measures in intersecting
circles; use other figures
to find circumference.
 “Independent Practice”
Students will identify
and use parts of circles;
solve problems involving
the circumference of a
circle.
 “Formative Assessment”
- Observe students
during “Do Now”, “Mini
Lesson”, “Guided
Practice” and
“Independent Practice”
10.1 page 526-527 16-20,
32-54even
Tuesday
Date: 4/14
Day: B
 “Do Now”- Use other
figures to find the
circumference of a circle
 “Mini Lesson” –Angles
and arcs
 “Guided Practice” –
Measure central angles
and arcs; find arc length
and analyze circle
graphs.
 “Independent Practice”
– Recognize major arcs,
minor arcs, semicircles,
and central angles and
their measures.
 “Formative Assessment”
- Observe students
during “Do Now”, “Mini
Lesson”, “Guided
Practice” and
“Independent Practice”
10.2 Day 1 Pages 533-535 14
– 31, 32 -42 even, 58
Wednesday
Date: 4/15
Day: A
 “Do Now”- Explain the
difference between a
minor arc and a major
arc
 “Mini Lesson” –Angles
and arcs
 “Guided Practice” –
Measure central angles
and arcs; find arc length
and analyze circle
graphs.
 “Independent Practice”
– Recognize major arcs,
minor arcs, semicircles,
and central angles and
their measures.
 “Formative Assessment”
- Observe students
during “Do Now”, “Mini
Lesson”, “Guided
Practice” and
“Independent Practice”
10.2 Day 2 Worksheet
Thursday
Date: 4/16
Day: B
 “Do Now”- Analyze
circle graphs
 “Mini Lesson” –Arcs and
chords
 “Guided Practice” –
Relationships between
arcs and chords, and
between chords and
themselves.
 “Independent Practice”
Recognize and use
relationships between
arcs and chords, and
between chords and
themselves.
“Formative Assessment”
- Observe students
during “Independent
Practice”
10.3 Day 1
Pages 540- 11-20 and 23-35
odd
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
Friday
Date: 4/17
Day: A
 “Do Now”- Write 5
things you know about
circles
 “Mini Lesson” –Arcs and
chords
 “Guided Practice” –
Relationships between
arcs and chords, and
between chords and
themselves.
 “Independent Practice”
Recognize and use
relationships between
arcs and chords, and
between chords and
themselves.
“Formative Assessment” Observe students during
“Independent Practice”
10.3 Day 2 Worksheet