Required Textbook: A Beka Algebra 2, Work-Text, Pensacola, Florida, current edition.
[a] The relationships among coefficients, exponents, degree and roots of equations.
[i] Solve and explore equations using the quadratic formula, completing the square, synthetic division, and graphing.
[ii] Classify solutions of quadratic equations through observations of graphs and through use of the discriminant.
[iii] Write a polynomial equation when given its roots.
[b] Systems of equations and inequalities.
[i] Explore methods of solving systems of equations to include algebraic methods and matrices.
[ii] Write a system of equations to solve a problem.
[iii] Interpret by graphing, and solve systems of inequalities.
[c] Recognize, classify, and perform operations with irrational and complex numbers.
[i] Explore and describe the complex number system.
[ii] Explain and apply complex conjugate methods to simplify problems.
[iii] Perform operations with complex numbers and review radicals.
[d] Identify and investigate relations and functions.
[i] Determine the domain, range, roots, and inverse of a function.
[ii] Recognize and determine graphs of linear, quadratic, absolute value, greatest integer, and piece-wise functions.
[iii] Develop a complex coordinate plane for complex numbers (a + bi) where reals are represented on the x-axis and imaginary units are represented on the y-axis and model operations of complex numbers.
[iv] Evaluate functions including composite functions.
[v] Explore and investigate solutions to compound and absolute value inequalities to include interval notation.
[vi] Use scatter plots and apply regression analysis to data.
[vii] Illustrate and apply the relationships between exponential and logarithmic functions.
[viii] Simplify radical, exponential, and logarithmic expressions. Solve equations involving radicals, exponents, and logarithms.
[ix] Collect, organize, and interpret data from exponential, logarithmic, and power functions.
[e] Identify, locate, and apply trigonometric functions to the unit circle.
[i] Identify and locate angles in radians and degrees based on the unit circle.
[ii] Convert between degree and radian measurements of angles.
[iii] Use the definition of the six trigonometric functions to find missing parts of a triangle.
[iv] Determine the values of inverse trigonometric functions.
[v] Utilize special right triangle relationships and symmetry as they apply to the unit circle.
[vi] Relate the unit circle to the right triangle.
[f] Utilize and extend algebraic and geometric techniques to trigonometric equations and applications.
[i] Solve for unknown parts of triangles to include Law of Sines and Law of Cosines.
[ii] State, verify, and utilize trigonometric identities.
[iii] Find arc length and area of a sector of a circle.
[iv] Find the area of a triangle using Heron’s Formula and/or (1/2)BCsin(A).
[v] Solve trigonometric equations, using both radians and degrees.
[vi] Model and apply right triangle formulas, Law of Sines, and Law of Cosines to problem-solving situations.