WOODLAND HILLS HIGH SCHOOL LESSON PLAN
SAS and Understanding By Design Template
Name Witon
Date 10-20-14
Length of Lesson 1 week
Content Area Algebra 3
Edline was updated this week: Yes
My class website was updated this week: Yes
-
STAGE I – DESIRED RESULTS
LESSON TOPIC:
Complex Numbers
BIG IDEAS:
M11.A.1.1.2 Find the square root of an integer using
either a calculator or estimation (integer may or may
not be a perfect square – answer may be a range of
values).
M11.A.1.1.4
of 24).
Simplify square roots (e.g., the square root
M11.A.2.2.1 Simplify expressions involving positive and
negative exponents, roots and/or absolute
value (may contain all types of real numbers
- exponents should not exceed 10).
UNDERSTANDING GOALS (CONCEPTS):
Students learn how to simplify and solve equations involving
roots, radicals, and rational exponents. Students will perform
operations with complex numbers.
ESSENTIAL QUESTIONS:
VOCABULARY:
STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES):
Square root, nth root, principal root, rationalizing the
denominator, like radical expressions, conjugates,
radical equation, extraneous solution, imaginary unit,
pure imaginary number, complex number, absolute
value, complex conjugates.
Students will be able to:
Why is the root of a number?
How do you solve an equation involving a radical?
What does the verb simplify mean in math?
How do you simplify a radical?
What does it mean to rationalize a denominator?
What are imaginary numbers?
What are complex numbers?
What type of operations can be completed using
complex numbers?
1. Simplify radical expressions ( 2 days)
2. Add, subtract, multiply, and divide radical
expressions (
3. Write expressions with rational exponents in
radical form and vice versa
4. Simplify and perform operations on
expressions involving rational exponents
5. Solve radical equations ( 3 days)
6. Add, subtract, multiply, and divide complex
numbers
Review, quiz, computer activities, and test
STAGE II – ASSESSMENT EVIDENCE
PERFORMANCE TASK:
Students will participate in class discussions, guided practice,
computer work, and activities
OTHER EVIDENCE:
Daily warm up or exit polls , homework, Keystone Diagnostic
Tool, Study Island think through math Keystones, unit tests,
quizzes, and other formative assessments.
STAGE III: LEARNING PLAN
INSTRUCTIONAL Daily:
Check for understanding using
warmup, homework, or
formative assessment
questioning to determine
whether to continue as needed
or do interventions as needed. (
model, spiral scaffolding,
instruct/reteach, as needed)
MINI LESSONS
Mini lessons will vary daily
based upon student needs and
informal assessments. We will
use Active Engagement and
Scaffolding within each lesson.
Examples:
Factor trees
Perfect squares
Right triangles
Fractions
exponents
Guided Practice:
Note Taking, Modeling, Whole
Class Response, Partnering,
Higher Level Thinking Skills
Guided Notes, Chunking,
Build on prior Knowledge,
Teacher Prompting, Visual
Support
Independence Practice:
Check for understanding using
practice pages and text as well
as school/SAS developed
activities.
Summative/Formative
Assessments:
Quizzes as needed for
understanding. Unit test is
summative as well as
cumulative for constant
knowledge retention. Students
will actively participate in class
examples, discussion, class
work, whiteboards, open ended
assessments, graphic
organizers, exit tickets, daily
warm ups, homework, Study
Island and, unit tests, quizzes,
and other formative
assessments.
MATERIALS AND
RESOURCES:
Radicals ( Glencoe Text )
Warm ups & Exit polls
Homework (daily)
Guided practice and
Enrichment from Glencoe
Grab & Go workbooks and
Text
Additional materials as
needed
enrichment
INTERVENTIONS:
Think through math
Study Island
A+ Math
Math Lab
Keystone Diagnostic Tool
ASSIGNMENTS:
Note: all assignments may be
modified based upon
students needs.








5-5
5-6 practice
worksheets and text
problems
5-7 practice
worksheets and text
problems
Quiz on 5-6 & 5-7
5-8 practice
worksheets and text
problems
5-9 practice
worksheets and text
problems
Quiz 5-8 and 5-9
On-line practice test
and self check
quizzes
Unit 2 Test
Enrichment,
remediation as
needed
Reflections:
Check for understanding using
do now, homework, or
formative assessment
questioning to determine
whether to continue as needed
or do interventions as needed.
(Model, spiral scaffolding,
instruct/reteach as needed)
Teacher reflection: