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Big Idea:
Big Idea:
Solve and simplify polynomials by using mathematical operations.
Student Expectations:
Student Expectations:
Priority TEKS
Priority TEKS
A.10(E) [Readiness] factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two
Focus TEKS
Focus TEKS
A.10(A) [Supporting] add and subtract polynomials of degree one and degree two
A.10(B) [Supporting] multiply polynomials of degree one and degree two
A.10(C) [Supporting] determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend
A.10(D) [Supporting] rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property
A.10(F) [Supporting] decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial
Student Learning Targets:
Student Learning Targets:
- I will simplify polynomial expressions using addition, subtraction, and multiplication
- I will identify characteristics of a polynomial (term, coefficient, constant, leading coefficient, and degree of a term)
- I will identify the degree of a polynomial
- I will write a polynomial in standard form
- I will add and subtract polynomials, including the use of manipulatives
- I will use an area model and the distributive property to multiply expressions
- I will identify and use special products of binomials
- I will factor the GCF of polynomials
- I will factor a perfect square trinomial and the difference of two squares
- I will factor trinomials, with and without the use of manipulatives
- I will simplify a rational expression by dividing out the common factors
- I will divide a polynomial of degree 1 or 2 by a polynomial of degree 1 or 2
Essential Questions:
Essential Questions:
- How do operations with polynomials relate to numerical operations?
- How is using an area model useful when multiplying and factoring polynomials?
Extra Information:
Extra Information:
Adopted Textbook: McGraw-Hill Algebra I
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