Download Chord, circumference, arc, tangent, secant

WOODLAND HILLS HIGH SCHOOL LESSON PLAN
SAS and Understanding By Design Template
Name Broadwater
Date Nov 21-Dec 13
Edline was updated this week:
Length of Lesson 14 days
Content Area Geometry
My Class website was updated this week:
STAGE I – DESIRED RESULTS
LESSON TOPIC: Circles
BIG IDEAS:
(Content standards, assessment anchors, eligible content) objectives, and skill
focus)
2.2.11 B Use estimation to solve problems for which an exact answer is not
needed.
2.2.11 D Describe and explain the amount of error that may exist in a
computation using estimates.
2.3.11.A Select and use appropriate units and tools to measure to the degree
of accuracy required in particular measurement situations.
2.3.11.B Measure and compare angles in degrees and radians.
2.3.8.E Describe how a change in linear dimension of an object affects its
perimeter, area and volume.
2.9.11.F Use the properties of angles, arcs, chords, tangents and secants to
solve problems involving circles
UNDERSTANDING GOALS (CONCEPTS):
Students will understand: 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..
ESSENTIAL QUESTIONS: Can you…?
1.Determine parts of a circle and find circumference
2.Determine the measure of central angles and their arcs,
identifying and name major and minor arcs
3.Use the relationships between arcs and chords to solve
problems
4.Draw, label, and find measures of inscribed, interior, exterior,
and circumscribed angles
5.Identify a tangent and use the properties to solve a problem
6.Determine how to solve real life problems using circles and
segments
VOCABULARY: Chord, circumference, arc, tangent, secant,
center, central angle, circumscribed, diameter, inscribed,
intercepted, major and minor arcs, point of tangency
STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES):
Students will be able to:
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.
STAGE II – ASSESSMENT EVIDENCE
PERFORMANCE TASK:
Students will actively
participate in class examples, discussion, classwork, group
discussion, and activities
FORMATIVE ASSESSMENTS:
#1. Exit Tickets
#2. Pre-Assessment
#3. Graphic Organizers
Others: Summarizing Main Idea, Open-Ended Questions,
Think-Pair-Share
STAGE III: LEARNING PLAN
INSTRUCTIONAL
PROCEDURES:
MATERIALS AND
RESOURCES:
Active Engagements used:
#1. Note-Taking
#2. Compare Contrast
Others: Graphic Organziers,
Summarizing, Cooperative
Education, Partnering, ThinkPair-Share
Unit 8 Quadrialterals
(Glencoe Geometry text)
Describe usage: See below for
Compare/Contrast, Graphic
Organizers, Cooperative
Education, Partnering, NoteTaking, Think-Pair-Share.
Check for understanding and
summarizing using warm up,
homework, formative assessment
questioning or exit tickets to
determine whether to continue
lesson or do interventions as
needed. (model, spiral
scaffolding, instruct/ reteach as
needed)
Scaffolding used:
#1. Guided Notes
#2 . Build on Prior Knowledge
Others: Graphic Organizers,
Build Vocabulary, KWL
Describe usage: Warm up to
Warm ups (daily)
Homework (daily)
“Grab & Go”
worksheets/ activities
Unit Test
Additional materials as
needed (rulers, compass,
grid paper, etc)
Teach made packets to
enhance the material in
the unit.
CONTENT AREA
READING:
Guided Notes
INTERVENTIONS:
ASSIGNMENTS:
Struggling students will be
referred to RTII and Math
Lab
Small group/flexible
grouping will occur.
Various computer programs.
*10.1 - p. 526-527 #32-54
even
*10.2 Day 1 - p. 533-535 #1431, 32-42 even, 58
*10.2 Day 2 - Practice WS
*10.3 Day 1 - p. 540 #11-20
and 23-35 odd
*10.3 Day 2 - Practice WS
*10.4 Day 1 - p. 549 - 550 #810, 13-16, 22, 25
*10.4 Day 2 - Practice WS
*10.5 Day 1 - p. 556-557 #818, 23
*10.5 Day 2 - Practice WS
*10.6 Day 1 - p. 564 -565 #1232 even
*10.6 Day 2 - Practice WS
*Chapter 10 Review
include spiraling review of prior
knowledge to include upcoming
lesson. All notes are guided notes
to build vocabulary, interspersed
with group activities. Graphic
organizers utilized when
appropriate to compare/contrast
vocabulary. KWL used with
chapter vocabulary at beginning
and end of each chapter.
Other techniques used:
MINI LESSON:
Based on daily assessments
(formative and summative),
additional modeling, instruction,
homework, review, interventions,
group work, computer or teacher
guided practice will be done.