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Partners for Student Success Honors Algebra II Unit 1: Quadratics and Polynomials In order for your child to be successful, it is important to be consistent with the mathematical vocabulary and processes that will be implemented this year in Algebra II. You may find this resource helpful when supporting your child at home. Unit Concepts Concept Explanation Examples Graphing Quadratic Equations The graph of a quadratic equation on a coordinate plane. The solutions to the quadratic equations are the x-intercepts of the graph. The name of this graph is a parabola. Factoring Trinomials The process of finding terms that multiply together to give you a trinomial (3 terms). Factor 2 x 2 7 x 3 ( x 3)(2 x 1) x 2 16 x 15 Completing the Square A method of finding the zeros in a quadratic equation. Quadratic Formula A formula that can be used to solve a quadratic equation in standard form ax 2 bx c 0 Equivalent Equations Produce equivalent forms of quadratics using standard, intercept, and vertex form. Transformations of Graphs A transformation is a change that translates the graph horizontally or vertically; or reflects, rotates, or stretches the graph. Cecil County Public Schools 2014-15 1 x 2 16 x 64 15 64 ( x 8) 2 49 x 8 7 x 15, 1 Quadratic Formula: b b2 4ac 2a Standard: y x 2 4 x 3 Intercept: y ( x 1)( x 3) Vertex: y ( x 2) 2 1 x Honors Algebra II Unit 1 Partners for Student Success Curve of Best Fit The curve that best models a scatterplot. Student will explore several models during this course. Complex Numbers A number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, and where i2 = −1. "Re" is the real axis, "Im" is the imaginary axis. Polynomial An expression/equation constructed from variables and constants, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Written as: f(x) = anxn + an-1xn-1 +…+ a1x + a0 Zeros of a polynomial The x-value for which the polynomial = 0. This is the point where the function intersects the x-axis. Fundamental Theorem of Algebra (Honors only) A polynomial of degree n has at most n distinct roots. These roots can be real or complex. Example: This polynomial will have at most 3 roots. Additional Resources www.corestandards.org - View the math standards your child will be learning this year www.ixl.com/math/standards/common-core - Interactive practice opportunities www.studyjams.com - Interactive examples and opportunities for practice for each standard www.khanacademy.org - Find videos and examples on several math concepts http://www.shmoop.com/common-core-standards - Unpack each standard Cecil County Public Schools 2014-15 2 Honors Algebra II Unit 1 Partners for Student Success