Curriculum / Math / 11th Grade / Unit 3: Polynomials / Lesson 2
Math
Unit 3
11th Grade
Lesson 2 of 14
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Identify features of polynomial functions including end behavior, intervals where the function is positive or negative, and domain and range of function.
Topic A: Polynomial Features and Graphs
Classify polynomials through identification of degree and leading coefficient. Graph a polynomial function from a table of values; prove degree using successive differences.
Standards
A.APR.A.1F.IF.C.7.CF.IF.C.9
F.BF.B.3F.IF.B.4F.IF.B.6F.LE.A.3
Match and compare equations and graphs of polynomials, and identify transformations.
F.BF.B.3F.IF.B.4F.IF.C.7.C
Sketch polynomial functions using sign charts and analysis of the factored form of the polynomial function.
A.APR.B.3
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Topic B: Operations with Polynomials
Multiply polynomials, identifying factors, degrees, and number of real roots. Identify features of a polynomial in standard form.
A.APR.A.1F.BF.B.3
Add and subtract polynomials. Identify degree, leading coefficient, and end behavior of result.
A.APR.A.1F.BF.A.1.B
Divide polynomials by binomials to determine linear factors.
A.APR.A.1A.APR.B.2A.APR.B.3
Determine if a binomial is a factor of a polynomial using the remainder theorem.
A.APR.B.2
Identify and factor with difference of two squares in quadratic and quartic polynomials. Describe identity of difference of two squares. Describe the zeros that represent the resultant factors.
A.APR.B.3A.SSE.A.2
Factor difference and sums of cubes. Explain sums and differences of cubes as polynomial identities.
A.APR.C.4
Factor polynomials by grouping in quartic, cubic, and quadratic functions.
F.IF.C.8.A
Topic C: Polynomial Extensions
Use polynomial identities to determine Pythagorean triples.
Identify the solution(s) to systems of polynomial functions.
A.REI.D.11
2 days
Write polynomial functions from solutions of that polynomial function.
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