ALGEBRA 1 HONORS LESSON PLAN
Unit 5 Exponents and Radicals
Essential Question How can properties of the real number
WICOR
system be useful when working with polynomials and
rational expressions?
Monday
March 2
Learning Goal
Students will demonstrate how to compare rational exponents and radicals, and
use various properties to combine terms with radicals and rational exponents.
Measurable Objective: Students will learn to multiply polynomials using
distribution, FOIL, and long multiplication.
Benchmark MAFS.912.A-APR.1.1 : (DOK 1)
Higher Order Thinking Questions ( Hot)
How does simplifying numerical fractions compare to simplifying algebraic
fractions?
How does multiplying trinomials compare to multiplying whole numbers?
What are the concepts that help you understand polynomials?
How are the prefixes used in English related to the prefixes used in
mathematics?
What are the similarities and differences between the different methods to
multiply and factor polynomials?
: Vocabulary
Polynomial Term
Coefficients
Degree of a polynomial Monomial Binomial Trinomial
Constant term Constant linear cubic quartic quadratic
quintic Closure
• Difference of Squares Square of a binomial
• Extraneous Solutions
• Rational Expression
• Remainder Theorem
• Zeros of Functions
FOIL
Daily Agenda
1. Bell Ringer; Multiply 234 x 34 without a calculator show steps, 3(x+5)
2. What’s my grade?
3. Cornell Note: Multiplying Polynomials
4. Guided Practice within Notes
5. Homework: Springboard Page 380 (13-22all)
Summarizing Activity/Comprehension Check A binomial of degree 2 and
variable x and a trinomial of degree 4 and variable x are multiplied. What will be
the degree of the product? Explain your reasoning?
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WICOR
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ALGEBRA 1 HONORS LESSON PLAN
Unit 5 Exponents and Radicals
Essential Question How can properties of the real number
system be useful when working with polynomials and rational
expressions?
WICOR
Learning Goal
Students will demonstrate how to compare rational exponents and radicals, and
use various properties to combine terms with radicals and rational exponents
Measurable Objective Students will learn to multiply polynomials using the
rules for the difference of squares and the square of a binomial
Benchmark MAFS.912.A-APR.1.1 : (DOK 1)
Tuesday
March 3
Higher Order Thinking Questions ( Hot)
How does simplifying numerical fractions compare to simplifying
algebraic fractions?
How does multiplying trinomials compare to multiplying whole
numbers?
What are the concepts that help you understand polynomials?
How are the prefixes used in English related to the prefixes used in
mathematics?
What are the similarities and differences between the different methods
to multiply and factor polynomials?
Vocabulary
Polynomial Term
Coefficients
Degree of a polynomial Monomial Binomial Trinomial
Constant term Constant linear cubic quartic quadratic
quintic Closure
• Difference of Squares Square of a binomial
• Extraneous Solutions
• Rational Expression
• Remainder Theorem
• Zeros of Functions
FOIL
Daily Agenda: New Seats
1.
2.
3.
4.
5.
Bell Ringer Page 374 (18 &19 )
Review Homework
Cornell Notes: Special Products
Guided Practice – within notes
Homework Page 378 (10-17all)
Summarizing Activity/Comprehension Check Explain why the products of (x3) squared and (X=3)X-3) have a different number of terms?
Essential Question:
How can properties of the real number system be useful when working
with polynomials and rational expressions?
I,C,O,R
I, C,O,R
W
W,I,C,O,
R
W,I,C
WICOR
ALGEBRA 1 HONORS LESSON PLAN
Unit 5 Exponents and Radicals
Learning Goal
Student will learn how to multiply, add, subtract, and factor quadratic and
cubic polynomials using concrete models and analytic techniques. This work
with polynomial expressions serves as a bridge to introductory work with
polynomial functions and rational expressions
Measurable Objective. Students will be assessed on their knowledge of
polynomials and with a real world PLC to assess their application to the real
world.
Benchmark MAFS.912.A-APR.1.1 : (DOK 1) MAFS.912.A-SSE.1.2
Wednesda
y
March 4
(DOK 2)
Higher Order Thinking Questions ( Hot)
How does simplifying numerical fractions compare to simplifying
algebraic fractions?
How does multiplying trinomials compare to multiplying whole numbers?
What are the concepts that help you understand polynomials?
How are the prefixes used in English related to the prefixes used in
mathematics?
What are the similarities and differences between the different methods to
multiply and factor polynomials?
Vocabulary
Polynomial Term
Coefficients
Degree of a polynomial Monomial Binomial Trinomial
Constant term Constant linear cubic quartic quadratic
quintic Closure
• Difference of Squares Square of a binomial
• Extraneous Solutions
• Rational Expression
• Remainder Theorem
• Zeros of Functions
FOIL
Daily Agenda:
1. Bell Ringer Springboard Page 379 #3
2. Review Homework
3. Class Discussion – Surface area and Volume of a rectangular solid
and cylinder
4. Polynomial Quiz.
5. PLC Page 383 (1-3)
Summarizing Activity/Comprehension How can you predict the number of
terms the product will have before you combine like terms?
I,C,O,R
I, C,O,R
W
W,I,C,O,
R
W,I,C
ALGEBRA 1 HONORS LESSON PLAN
Unit 5 Exponents and Radicals
Essential Question How can properties of the real number system
be useful when working with polynomials and rational expressions?
WICOR
Learning Goal.
Student will learn how to multiply, add, subtract, and factor quadratic and
cubic polynomials using concrete models and analytic techniques. This
work with polynomial expressions serves as a bridge to introductory work
with polynomial functions and rational expressions
Measurable Objective: Students will learn to factor a monomial out of a
polynomial using the GCF.
Benchmark MAFS912A-SSE1.1B (DOK 2)
Thursday
March 5
Higher Order Thinking Questions ( Hot)
How does simplifying numerical fractions compare to simplifying
algebraic fractions?
I,C,O,R
How does multiplying trinomials compare to multiplying whole
numbers?
What are the concepts that help you understand polynomials?
How are the prefixes used in English related to the prefixes used
in mathematics?
What are the similarities and differences between the different
methods to multiply and factor polynomials?
Vocabulary
Polynomial Term
Coefficients
Degree of a polynomial Monomial Binomial Trinomial
Constant term Constant linear cubic quartic quadratic
quintic Closure
Square of a binomial
• Difference of Squares FOIL
• Extraneous Solutions Zeros of Functions
• Rational Expression
• Remainder Theorem
Daily Agenda:
1. Bell Ringer: What is factoring?
2. Review Homework
3. Cornell Notes: Factoring out a monomial
4. Guided Practice within Notes
5. Homework Page 386 (Try these A ) 5-15
Summarizing Activity/Comprehension Check: What is the GCF of a
polynomial and how does it aid us in factoring the polynomial??
I, C,O,R
W
W,I,C,O,R
W,I,C
ALGEBRA 1 HONORS LESSON PLAN
Unit 5 Exponents and Radicals
Essential Question:
How can properties of the real number system be useful when working
with polynomials and rational expressions?
Learning Goal
WICOR
Student will learn how to multiply, add, subtract, and factor quadratic and cubic
polynomials using concrete models and analytic techniques. This work with
polynomial expressions serves as a bridge to introductory work with polynomial
functions and rational expressions
Measurable Objective: Students will learn to factor a trinomial using product
sum method
March 6
Benchmark MAFS.912.A-APR.1.1 : (DOK 1)
MAFS.912.A-SSE.2.3a (DOK 2)
Friday
Higher Order Thinking Questions ( Hot)
How does simplifying numerical fractions compare to simplifying algebraic
fractions?
I,C,O,R
How does multiplying trinomials compare to multiplying whole numbers?
What are the concepts that help you understand polynomials?
How are the prefixes used in English related to the prefixes used in
mathematics?
What are the similarities and differences between the different methods to
multiply and factor polynomials?
Vocabulary:
Polynomial Term
Coefficients
Degree of a polynomial Monomial Binomial Trinomial
Constant linear cubic quartic quadratic quintic
Closure
Square of a binomial
• Difference of Squares FOIL
• Extraneous Solutions Zeros of Functions
• Rational Expression
• Remainder Theorem
Constant term
Daily Agenda:
1. Bell Ringer
2. Homework review
3. Cornell Notes; Factoring using Product Sum
4. Guided Practice
5. Homeowkr – Study factoring notes.
Summarizing Activity/Comprehension When do I use the product sum method
for factoring a trinomial??
I, C,O,R
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W,I,C,O,R
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ALGEBRA 1 HONORS LESSON PLAN
Unit 5 Exponents and Radicals
ESOL/ESE ACCOMODATIONS
Visual Aids, Concrete Objects, Gestures, Repetitions
Written Outline, Copy of Notes
Small Group Instruction
Incorporation of LEP student’s Culture & Language
Verbal and Written Directions
Hands on Activities
Request of Text in Student’s Language
Correlation With ESOL/ESE Resource Personnel
Cooperative Groups
Peer tutoring
Use of Dictionary
Avoidance of Idioms
Copies of Notes
Summarize & Review Frequently
Student Translator
Reading Aloud Questions
Preferential Seating
Extended Time
Student Friendly Mathematical Practice Statements
MAFS.K12.MP.1.1 Make sense of problems and persevere in solving them.
• Make a plan!
• Try different approaches when your problem is hard.
• Solve your problem in more than one way.
• Check whether your solution makes sense.
MAFS.K12.MP.2.1 Reason abstractly and quantitatively.
• Explain the meanings of the numbers, words, pictures, symbols, and objects you and others use
MAFS.K12.MP.3.1 Construct viable arguments and critique the reasoning of others.
• Explain both what to do and why it works.
• Work to make sense of others’ mathematical thinking.
MAFS.K.12.MP.4.1 Model with mathematics.
• Apply math to real-world situations.
• Use models such as graphs, drawings, tables, symbols, numbers, and diagrams to solve problems.
MAFS.K12.MP.5.1 Use appropriate tools strategically.
• Choose appropriate tools for your problem.
• Use mathematical tools correctly and efficiently.
• Estimate and use what you know to check the answers you find using tools.
MAFS.K12.MP.6.1 Attend to precision.
• Communicate your mathematical thinking clearly and precisely.
• Use the level of precision you need for your problem.
• Be accurate when you count, measure, and calculate.
MAFS.K12.MP.7.1 Look for and make use of structure.
• Find, extend, analyze, and create patterns.
• Use patterns and structures to solve problems.
MAFS.K12.MP.8.1 Look for and express regularity in repeated reasoning.
• Use patterns and structures to create and explain rules and shortcuts.
• Use properties, rules, and shortcuts to solve problems.
• Reflect on your thinking before, during, and after you solve a problem.
ALGEBRA 1 HONORS LESSON PLAN
Unit 5 Exponents and Radicals
Reading Standards for Literary and
Informational Text
Speaking and Listening
Writing and Language Standards
8.RL/RI.1.1 (DOK2)
8.LS.1.1 (DOK 3)
8.W.2.4 (DOK 3)
Text evidence that supports analysis and
inferences drawn from text
Collaborative discussions
Produce clear and coherent writing; organization, style are appropriate to
task/purpose/audience
a.
b.
8.RI.2.4(DOK 2)
Meanings of words/phrases as used in a text.
c.
d.
8.RI.4.10 (DOK2)
By the end of the year, read and comprehend
literary nonfiction at the high end of 6-8th grade
text complexity band independently and
proficiently
Prepare/research material
Follow rules for collegial
discussions; track progress
toward goals/deadlines;
Pose questions that connect
ideas , respond to others;
qualify/justify own views
Acknowledge new information
expressed by others; qualify or
justify their own views in light
of the evidence presented
8.W.2.5 (DOK2)
With guidance, develop and strengthen writing as needed by
planning/revising/editing/rewriting/ trying a new approach.
8.W.2.6 (DOK2)
Use technology, including Internet, to produce and publish writing and
present the relationships between information and ideas efficiently as well
as to interact and collaborate with others.
8.SL.2.6 (DOK2)
8.W.4.10 (DOK3)
Adapt speech to a variety of contexts and
tasks, demonstrating command of formal
English.
Write routinely over extended and short time frames for a range of
discipline-specific tasks/ purposes/audiences
8L.3.4 (DOK2)
Determine or clarify the meaning of unknown and multiple-meaning
words/phrases based on grade 8 reading and content,
a.
b.
c.
d.
Use context as clue
Use common, grade-appropriate Greek or Latin affixes and
roots
Consult general and specialized reference materials
Verify the preliminary determination of the meaning of a word
or phrase (e.g., checking inferred meaning in context or in a
dictionary).