Name: Andrew Pollick
Content Area: Keystone Prep
WOODLAND HILLS SECONDARY
LESSON PLANS
Date: 4/20/15 – 4/27/15
Length of Lesson: 10 days
STAGE I – DESIRED RESULTS
Lesson Topic (Modules, if applicable):
Unit 12
Radical Expressions and Triangles (chapter 11)
Big Ideas:
M11.C.3.1
Solve problems using analytic
geometry.
M11.D.2.1
Solve and/or graph linear equations
and inequalities using various methods.
M11.D.4.1
Interpret and/or use linear,
quadratic and/or exponential functions and their
equations, graphs or tables
Understanding Goals (Concepts):
Students will simplify and perform operations with
radical expressions. They will apply these skills to
solving radical equation. The Pythagorean theorem is
used to solve problems with right triangles. The
distance formula is introduced as an application of the
Pythagorean theorem. Similar triangles and trig ratios
are used to find missing measures in triangles..
.
Student Objectives (Competencies/Outcomes):
Students will be able to:
1.
Simplify radical expressions using product and
quotient properties. (11-1)
2. Add or subtract or multiply radicals, answers in
simplified radical form. (11-2)
3. Solve radical equations with and without
extraneous solutions (11-3)
4. Solve problems using the Pythagorean Theorem.
Determine if a triangle is a right triangle using
the converse of the P.T. (11-4) (** if time
permits)
5. Find the distance between two points using
radicals (11-5) (** if time permits)
6. Determine if 2 triangles are similar using
proportions (sides are in proportion) (11-6) (** if
time permits)
7. Use trig ratios to look at and solve right triangles
(11-7) (** if time permits)
(2 days review, 1 enrichment, 1 assessment)
Essential Questions:
 Is a radical real?
 How can you tell if a radical is in simplified
form?
 Can you use the Pythagorean Theorem with
any type of triangle? With a square? With a
rectangle?
How is an operation with radicals similar to
operations with variables?
Vocabulary:
Radical expression, radicand, rationalizing the
denominator, conjugate, product property of square
roots, quotient property of square roots, radical
equation, extraneous solution, hypotenuse, legs,
Pythagorean triple, Pythagorean Theorem, Distance
Formula, Trigonometric ratios, sine, cosine, tangent,
simplified radical form
STAGE II – ASSESSMENT EVIDENCE
Formative Assessments:
Performance Task:
Students will participate in class discussions, guided practice, computer work, and
whiteboard activities
Students will actively participate in class examples, discussion, class work,
whiteboards, open ended assessments, graphic organizers, exit tickets, daily warm
ups, homework, Study Island (or what is currently available) and unit tests, quizzes,
and other formative assessments.
STAGE III – LEARNING PLAN
Materials and Resources:
Interventions:
Chapter 3: Glencoe Text)
Unit 1 (Algebra Rescue Text)
Think Through Math, Study Island, A+ Math (if available), Math Lab, Online Self Check
Quizzes and Tests
Warm ups & Exit polls (daily)
Homework (daily)
Guided practice and Enrichment from Glencoe Grab & Go workbooks
Additional materials as needed
Positive/ negative counters
Number lines, etc.
Procedures
Instructional Procedures*:
Monday
4/20
Day A
Bell Ringer
Work Day – work on
Radical Problems.
Intro to factoring
Tuesday
4/21
Day B
 Review Friday’s Test
 Do Now – intro radicals –
GCF
Wednesday
4/22
Day A
 DO NOW- check
homework assignments
 Mini lesson – 10 minute
review radicals with
partner – Problem Set
Thursday
4/23
Day B
 Practice Exam. Students
practice radicals on the
board
Friday
4/24
Day A
 Formative Assessment
Assignments
None
Go over Keystone
missed questions
 Intro to budgeting,
additional keystone
problems.
 Problems not completed
in class
 Exit slip for factoring test
 Test corrections
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
Instructional Procedures*:
Monday
4/27
Day A
Tuesday
4/28
Day B
Bell Ringer
Work Day – work on
Radical Problems.
Intro to factoring
 Review Friday’s Test
 Do Now – intro radicals –
GCF
None
Go over Keystone
missed questions
 Intro to budgeting,
additional keystone
problems.
Wednesday
4/29
Day A
 DO NOW- check
homework assignments
 Mini lesson – 10 minute
review radicals with
partner – Problem Set
Thursday
4/30
Day B
 Practice Exam. Students
practice radicals on the
board
Friday
5/1
Day A
 Formative Assessment
 Problems not completed
in class
 Exit slip for factoring test
 Test corrections