Unit Title: Polynomials Time Frame: 9 blocks Six Weeks: 4 th & 5 th

advertisement
Mathematics
Curriculum Document for Algebra 1
Unit Title: Polynomials
Time Frame: 9 blocks
Six Weeks: 4th & 5th
Unit Number: 8
Curriculum
Enduring Understandings (Big Ideas):


The student will know:
There are many ways to solve problems, but some are more
efficient than others.
Patterns help us to solve problems and understand data in
the world.
 “Like terms” mean same variables with the same exponents
 The relationship between multiplying and factoring is analogous to
multiplying and dividing
The student will be able to:
 Identify and classify monomials, binomials and trinomials
 Add, subtract, and multiply polynomials
 Apply polynomial operations to application problems (including
perimeter, area, and volume)
 Identify special patterns including perfect square trinomials and
difference of two squares binomials
 Factor polynomials completely
Essential Questions:



How do we know which method is most efficient?
How do we use patterns to solve problems?
How are arithmetic and algebra related?
Student Understanding (student friendly TEKS):



I can simplify polynomial expressions by adding, subtracting, and multiplying. (taken from A.4A and A.4B)
I can factor polynomials. (taken from A.4A)
I can use polynomial expressions to solve word problems. (taken from A.4A and A.11A)
Unit Title: Polynomials
Unit Number 8
Revised Spring 2013
Page 1 of 3
Mathematics
Curriculum Document for Algebra 1
TEKS:
(A.4) Foundations for functions. The student understands the importance of the skills required to manipulate symbols in order to solve
problems and uses the necessary algebraic skills required to simplify algebraic expressions and solve equations and inequalities in
problem situations. The student is expected to:
(A) find specific function values, simplify polynomial expressions, transform and solve equations, and factor as necessary
in problem situations;
(B) use the commutative, associative, and distributive properties to simplify algebraic expressions; and
(A.11) Quadratic and other nonlinear functions. The student understands there are situations modeled by functions that are neither
linear nor quadratic and models the situations. The student is expected to:
(A) use patterns to generate the laws of exponents and apply them in problem-solving situations;
Targeted College Readiness Standards:

IB1, IIB1, IIIC1, IVC1, IVC2, VIIIA1, VIIIA2, VIIIA3, VIIIA4, VIIIA5, IXA1, IXA2, IXA3, IXC1, IXC2
Targeted ELPs:

1C, 2G, 2I, 3B, 3D, 3F
Academic Vocabulary:
 Polynomial
Language of Instruction:
Binomial
Constants
Degree
Exponents
Leading coefficient
Like-terms
Monomial
Perfect square trinomial
Trinomial
Instruction
Instructional Resources:
Textbook:
 Chapter 9 Sections 1, 2, 3, 4 (GCF only), 5 (factoring only), 6 (factoring only), 7 (factoring only), 8 (Pre AP)
Unit Title: Polynomials
Unit Number 8
Revised Spring 2013
Page 2 of 3
Mathematics
Curriculum Document for Algebra 1
Closing the Distance Grade 9Lesson #11
Engaging Mathematics Algebra 1 (p. 66-86)
Algebra 1 Assessments
Instructional Suggestions/Examples for PSAT preparedness
Technology:
Career Connections/Real Life Application:
Exemplar Lessons:
Research Based Instructional Strategies:
Assessment
Student self-assessment & reflection:
Exit Ticket Prompt: How can we use algebra to solve geometry
problems?
Unit Title: Polynomials
Acceptable evidence or artifacts:
Performance Task Unit 8
Unit 8 Test- Common Assessment
Unit Number 8
Revised Spring 2013
Page 3 of 3
Download